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Universidade de S˜ao Paulo Faculdade de Filosofia, Letras e Ciˆ encias Humanas FABRICIO VASSELAI Nationalization and localism in electoral systems and party systems (corrected version / vers˜ao corrigida) ao Paulo 2015
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Page 1: Nationalization and localism in electoral systems and ... · NUPPS - mostly Caio, Lucas, Nina, Kayli, Vanessa and Vera - people from NECI, among others, for giving me ideas, inspiring

Universidade de Sao Paulo

Faculdade de Filosofia, Letras e Ciencias Humanas

FABRICIO VASSELAI

Nationalization and localism in

electoral systems and party

systems

(corrected version / versao corrigida)

Sao Paulo

2015

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Universidade de Sao Paulo

Faculdade de Filosofia, Letras e Ciencias Humanas

FABRICIO VASSELAI

Nationalization and localism

in electoral systems and party

systems

(corrected version / versao corrigida)

Tese de Doutorado apresentada a Faculdade de

Filosofia, Letras e Ciencias Humanas da Univer-

sidade de Sao Paulo, para a obtencao do tıtulo

de Doutor em Ciencia Polıtica.

Orientador: Prof. Dr. Fernando de Magalhaes

Papaterra Limongi

Sao Paulo

2015

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A Analice, ao Rennan e a Antonia

A Vanessa Vieira

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“when representatives ceased to be (. . . ) mere proxies for indi-

viduals, the communities they represented were geographically

defined (. . . ) It was possible to stretch the fiction of one man

standing for another or for several others to the point where

he stood for a whole local community” (p.41).

“by the seventeenth century the local geographical definition

of representation had become an essential ingredient in it, just

as representation had itself become” (p.43)

Edmund Morgan, in Inventing the People - The Rise of Pop-

ular Sovereignty in England and America.

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Acknowledgments

From all cliches one can find in an academic dissertation, no one is more truthful

than a simple phrase present in almost all papers, books and theses. I am talking

about that sentence where authors thank others for the remaining qualities of their

work and assume the guilty for the flaws that still last. Indeed, our works would be

much worse without all course corrections, welcome additions and support brought

by people every now and then. Not to mention they would also be better weren’t

us too stubborn to listen even more to what the community has said...

No one else could deserve more such credits in helping me polishing my thesis

than my advisor, Fernando Limongi. Above his well known intellectual qualities,

I feel fortunate to have received Limongi’s confidence in what I was trying to do.

Which means thanking him first for what he never said. Don’t get me wrong, he

(very) often questioned me whether something I wrote was in the right direction or

simply pointed my (frequent) mistakes. But he never, not only once, questioned (at

least not to me!) whether I would be capable of delivering some of the ambitious

things I was trying to cook for this work. He let me go on, always allowing (and

encouraging) me to try to reach further, never holding me back. He was very

supportive of no matter the crazy thing I had in mind for testing, or of my many

(expensive) efforts in trying to make this thesis dialogue with the international

debate. For those who think such an attitude of him is a triviality, I have to say:

you can only be one of the rare readers (hi mom!) who are not in our business.

Still, the many things Limongi has said were very, very important too. His ad-

vices are part of most of the rights one may find in the remainder of this dissertation.

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As well as they are responsible for me leaving out quite a few wrongs. Some of my

(few) ideas were indeed born and raised during the dozens of times I had to explain

them to him again and again until they magically got clear (to him and to myself).

Besides, Limongi has the better of the intellectual qualities: he knows how to think.

He reads or listens an idea and can dissemble it in its smaller logical pieces, which

is so helpful! Thank you for that, for the long-term bet on me, for the thousand

signatures and for not kicking me out whenever I found yet another parallel task to

do. I will miss the easygoingness and the short (and wrong) emails. You’re forgiven

for the missed appointments due to the Champions League matches.

But science is not the project neither of an individual, nor of a duet. During

this thesis’ journey, I have received ideas, suggestions, criticism, funding, logistics,

data and so much more and from so many, that it’d be impossible to nominally

thank all of them. I am particularly in debt with professors Ken Kollman and Allen

Hicken, from the University of Michigan, for the life-changing opportunities they

gave me at the CLEA project, for receiving me as a visiting researcher, for the

joint projects and, above all, for the ideas to some of the chapters in this thesis. I

also have to acknowledge contributions made by professors Anckar and Karvonen,

from the Abo Akademi university, in Finland, where they also kindly received me as

visitor. Thanks Coimbra Group of European Universities for the award that made

such a visit possible. I also have to acknowledge comments to an earlier version of

my third chapter, made by professor Roger Bivand for a course on Spatial Analysis

that I took at the Norwegian School of Economics. Lastly, I also thank Juan March

Foundation for receiving me as a visitor, which was when this research was originally

(happily) conceived. Thanks Fundacion Carolina for the funding to go there. Above

all research institutions, I also thank FAPESP for the doctorate scholarship and for

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the extra scholarship to visit the U. of Michigan, for the funds to go to ICPSR and

to many congresses. The role FAPESP plays in our science is commendable.

Additional contributions to the three chapters of this dissertation also came from

scholars along the last years, during conferences, classes or friendly talks. I would like

to acknowledge, specifically, some ideas given by Gary Cox, Scott Morgenstern, Ed-

uardo Alleman, Octavio Amorim Neto, Paolo Ricci, Sandra Marquart-Pyat, Rogerio

Arantes, Jose Antonio Cheibub, Daniele Caramani, David Armstrong and George

Avelino. I also profited from the debates I had on parts of my work with professors

Sergio Praca, Glauco Peres, Lorena Barberia, Fernando Guarnieri and Jose Alvaro

Moises. By the way, a special thanks go to professor Moises, for always listening my

ideas and for opening so many opportunities to me. Special thanks also to professor

Rogerio Arantes for all the good he has done to our department, for giving the best

class I took and, above all, for being who leads us tricolores to the SPFC matches.

Many colleagues also contributed in reading earlier versions of this work or in

debating its questions. I feel particularly thankful to the substantive or method-

ological debates related to this dissertation I had with Umberto Mignozzetti, Diogo

Ferrari, Jill Wittrock, Inga Anna-Liisa Saikkonen, Mattias Karlsson, among many

others. Above all, I am thankful to Marcos Paulo de Lucca-Silveira and Sergio Si-

moni Jr., who carefully read and commented my papers. These two are among my

dearest interlocutors and they are some of the brightest bets of this department,

that’s for sure. I particularly thank Mr. Simoni for his vast knowledge of the liter-

ature (this guy likes to read!), smart insights, and for his willingness to jump in all

crazy quijotesc tasks we found in the department. Marcos “little friend” Paulo is

one of the most intelligent guys I know and is my best buddy in academia. I have

to thank him for too many things, but in the top 2, I thank him for our real team

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play, and for how his vivid willingness to talk about good research often saves my

mood about academia when I am almost giving up on it. In the top 1, I thank him

for our acid academic facebook chats. These are cool.

It is also fair to acknowledge Amanda Campanini, Andre Kaysel, Andreza Da-

vidian, Danilo Medeiros, Camila Rocha, Carol Requena, Fabio Lacerda, Guilherme

Duarte, Lincoln Noronha, Lucas Petroni, Maira Rodrigues, Marcos again, Miguel

Barrientos, Paulo Flores, Raissa Wihby, Rafael Magalhaes, Rafael Moreira, Roberta

Soromenho, Samuel Godoy, San Assumpcao, Sergio again, Telma Hoyler, Thiago

Silva, Tiago Borges, Vıtor Oliveira, the collaborators of Leviathan, people from

NUPPS - mostly Caio, Lucas, Nina, Kayli, Vanessa and Vera - people from NECI,

among others, for giving me ideas, inspiring me, listening me talk or simply for part-

nering in many efforts to contribute to our department and to our Political Science.

These people are so generous! I will, of course, miss specially the bar crawling.

Talking about best buddies, I have to tell San I am grateful for all the friendship

and kindness she always gave me. I am happy she’s pursuing new challenges, but I

have to say she is sorely missed here.

At the same time, nothing would have been possible without the crucial support

given by my department’s administrative staff. Marcia, Rai and Vasne saved my

neck so many times that a book telling these stories would be bigger (also funnier)

than this small thesis. I thank you all so very much for always being there for me,

for the invariable good mood, for letting me watch soccer in any TV available. I will

miss a lot being there with you, not letting you work just to babble about something

that certainly should not be talked there if I had any good judgment left.

Outside the academic world (a.k.a. in real life), I was just as lucky. I had so

many people rooting for me. I have to thank my friends Leandro, Murilo and Isa for

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not getting too mad with my absences and for always being there when I needed.

I thank Rodrigo Abu and Cida for always being so nice to me when receiving me

back to Sao Paulo. Also, a wholeheartedly thanks go to Paula Rondinelli, for all she

has done and taught me over the years. I own her so much, and I will never forget

it. To my mom Analice and my bro Rennan, I have to thank for too many things

for one single thesis. She is responsible for what I am; and he, for what I want to

be. In a deeper sense, all I do is for them. Love you, buddies.

But the person I have to thank the most for being there for me and with me,

is Vanessa Vieira. How lucky I am to have met her! That’s by far the smartest

thing I’ve done during this Phd. This thesis was written with her support, love and

patience. I lost count of how many times she just stayed by my side, doing anything

else while I was hitting hard the keys of my computer’s keyboard. Always happy just

for being together! How is it even possible, don’t ask me. Vanessa often reminded

me that my realism should be balanced by always dreaming with impossible things.

She ruined my always rational barrier and in fact suddenly gave me much to dream

about. Since Vanessa is always proud of me anyways, what I hope with this thesis

done is that she is happy I can have back a bit of life for the two of us to share.

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Abstract

This research offers 3 independent studies on the questions of what is party na-

tionalization, how nationalization, regionalization or localism are affected by and

affect the electoral systems and the party systems. More specifically, in the 1st

chapter a new theoretical definition of party and party system nationalization is

presented, dividing such concept into four dimensions - the nationalization of party

organization, of the electoral supply, of the electoral demand and of the electoral

outcome. After that, such a theoretical framework is applied to the Brazilian case

to demonstrate how, in fact, more conceptual precision can alter empirical readings

about a given party system. The 2nd chapter explores one of the consequences of

party system nationalization, which literature has theorized but never tested di-

rectly. Namely, the idea that party nationalization would be what puts the electoral

circumscriptions together and what makes Duvergerian propositions move from the

local to the national level. To test that, party system nationalization is included for

the first time in a model of effective number of parties, after handling endogeneity

problems that have prevented scholars from doing the same. With such inclusion, it

will be proven and demonstrated that omitting party nationalization from models

of number of parties, which is a common practice, incurs in omitted variable bias.

In fact, such correct inclusion of party nationalization trough a system of simulta-

neous equations corrects that bias, altering some of the canonical interpretations

about party system fragmentation. Lastly, in the 3rd chapter I reevaluate the com-

mon idea that electoral systems with personal voting would lead to geographical

concentration (i.e. localization) of candidates’ electoral support. I offer a theoretical

discussion and then empirical evidence that such territorial pattern is not the rule of

what happens for instance in open-list PR. Besides, both concentrating and spread-

ing votes are electorally profitable results and very few candidates achieve levels of

concentration that predicts effective increases in the odds of being elected.

Keywords: party system, electoral system, nationalization, localism, territorial dis-

tribution

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Resumo

Esta pesquisa traz 3 estudos independentes, sobre temas ligados as questoes do

que e nacionalizacao partidaria e como nacionalizacao, regionalizacao e localismo

sao afetados por e afetam os sistemas eleitorais e partidarios. Mais especificamente,

no capıtulo 1 proponho uma nova definicao teorica de nacionalizacao dos partidos e

sistemas partidarios. Argumento que tal conceito pode ser dividido em 4 dimensoes,

que sao a nacionalizacao da organizacao partidaria, da oferta eleitoral, da demanda

eleitoral e dos resultados eleitorais. Em seguida, aplico esse quadro teorico ao caso

brasileiro para mostrar como, de fato, maior precisao conceitual altera a leitura

empırica que se faz de um sistema. No capıtulo 2, exploro uma das consequencias

da nacionalizacao partidaria, que vem sendo teorizada pela literatura mas nunca

testada de modo direto. Trata-se da ideia de que nacionalizacao seria o que conecta

as circunscricoes eleitorais e faz as proposicoes de Duverger passarem do nıvel local

ao nacional. Para testar isso, incluirei nacionalizacao dos sistemas partidarios pela

primeira vez num modelo de numero de partidos - apos lidar com problemas de endo-

geneidade que vem impedindo autores de fazerem isso. Assim, sera possıvel provar

e demonstrar que a nao inclusao de nacionalizacao vem causando vies de variavel

omitida nos modelos da literatura. Quando esse e corrigo, atraves da inclusao de

nacionalizacao por um sistema de equacoes simultaneas, altera-se algumas das inter-

pretacoes canonicas sobre a fragmentacao partidaria. Por fim, no capıtulo 3 reavalio

a ideia comum de que sistemas eleitorais com voto pessoal levariam candidatos a

ter apoio eleitoral geograficamente concentrado, portanto localista. Ofereco uma

discussao teorica e evidencias de que tal padrao territorial nao e a regra do que

vem ocorrendo, por exemplo, em sistemas de lista aberta. Alem disso, tanto con-

centrar votos como espalha-los vem dando dividendos eleitorais e poucos candidatos

conseguem atingir patamares altos de concentracao, a um nıvel que prediga real

aumento nas chances de eleicao.

Palavras-chave: sistemas partidarios, sistemas eleitorais, nacionalizacao, localismo,

distribuicao territorial

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Contents

List of Figures xii

List of Tables xv

Introduction 1

I.1 The subject of nationalization: general theoretical framework . . . . . 2

I.2 Road-map of this work . . . . . . . . . . . . . . . . . . . . . . . . . . 7

1 The multiple dimensions of party nationalization - an application

to the Brazilian case 13

1.1 Multiple nationalizations . . . . . . . . . . . . . . . . . . . . . . . . . 14

1.2 The debate about nationalization in Brazil . . . . . . . . . . . . . . . 27

1.2.1 Nationalization of organization . . . . . . . . . . . . . . . . . 34

1.2.2 Nationalization of the supply . . . . . . . . . . . . . . . . . . 39

1.2.3 Nationalization of the demand . . . . . . . . . . . . . . . . . . 42

1.2.4 Nationalization of the outcomes . . . . . . . . . . . . . . . . . 47

1.2.5 Overall scenario . . . . . . . . . . . . . . . . . . . . . . . . . . 49

1.3 Nationalization and fragmentation of party systems in Brazil . . . . . 50

1.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58

1.5 Annexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60

Annex 1.A – Formula of Bochsler’s index of Party and Party system

nationalization . . . . . . . . . . . . . . . . . . . . . . . . . . 60

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Annex 1.B – Parties’ organization: % of municipalities where par-

ties have presented candidates for the municipal Executive or

Legislative . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

2 Party system nationalization and the national effective number of

electoral parties 64

2.1 The omitted party system nationalization . . . . . . . . . . . . . . . . 66

2.2 The endogeneity obstacles for including party system nationalization 72

2.3 Description of dataset and of variables . . . . . . . . . . . . . . . . . 77

2.3.1 Endogenous variables . . . . . . . . . . . . . . . . . . . . . . . 79

2.3.2 Exogenous shared variable of interest . . . . . . . . . . . . . . 80

2.3.3 Exogenous exclusive (instrumental) variables . . . . . . . . . . 81

2.3.4 Other exogenous control variables . . . . . . . . . . . . . . . . 83

2.4 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84

2.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95

2.6 Annexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98

Annex 2.A - Proof of endogeneity due to omitted variable bias in

models of ENEPnat that do not include PtyNat . . . . . . . . 98

Annex 2.B - Proof of endogeneity in models of ENEPnat that include

PtyNat, if they do not explicitly model the possible reciprocal

causation between these variables . . . . . . . . . . . . . . . . 101

Annex 2.C – List of countries’ elections per tier that are in the data . 104

Annex 2.D – Distribution of variables used in the main models of this

chapter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106

Annex 2.E - Measure sensitivity of the main results for the effects

between ENEPnat and PtyNat . . . . . . . . . . . . . . . . . 107

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3 Personal voting and localism: geographical distribution of electoral

support under open list PR systems 111

3.1 Does voting for a candidate mean voting for a local constituency service?113

3.2 Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123

3.3 Spatial assessment: one needs parishes to be parochial . . . . . . . . 125

3.3.1 Geographical clustering: Moran‘s I through an Empirical Bayes

Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

3.3.2 The impact of cities with big population: Local G index . . . 132

3.3.3 Territorial homogeneity of electoral support: Spatial GINI index135

3.4 Statistical models: does electoral localism pay off? . . . . . . . . . . . 140

3.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149

3.6 Annexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151

Annex 3.A – Distribution of EBMoran’s I according to additional

specifications of the neighbor matrix WI×J . . . . . . . . . . . 151

Annex 3.B – Distribution of variables used in the main models of this

chapter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152

References 153

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List of Figures

I.1 Frequency of expressions “nationalization” and “party nationaliza-

tion” over frequency of “politics”, in aprox.4.5 million books pub-

lished in English . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

1.1 Venn diagram of the 4 dimensions of party and party system nation-

alization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

1.2 Nationaliz. of organization: homogeneity of % membership across

elec. circumscriptions . . . . . . . . . . . . . . . . . . . . . . . . . . . 35

1.3 Presence of parties’ organization across the Brazilian municipalities . 37

1.4 Nationalization of the supply: number of elec. circumscriptions where

parties offered candidates . . . . . . . . . . . . . . . . . . . . . . . . . 40

1.5 Nationalization of the demand: elec. support homogeneity across

elec. circumscriptions (measured with Bochsler’s (2010) PNSsw . . . 44

1.6 Party system nationalization of demand among countries . . . . . . . 46

1.7 Nationalization of the outcomes: number of elec.circumscriptions where

parties won seats . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48

1.8 Effective num. of parties at the Lower Chamber - Brazil vs. World

and within Brazil . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

1.9 Effec.num.of legislative parties at the Lower Chamber, according to

simulated perfect nationalization of the electoral demand . . . . . . . 56

Annex 1.B – Parties’ organization: % of municipalities where parties have

presented candidates for the municipal Executive or Legislative . . . . 63

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2.1 Party system nationalization (PtyNat) with bootstrapped measure

uncertainty and Effective number of electoral parties (ENEPnat), per

country-tiers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78

2.2 Path diagrams of the models 1 to 4 . . . . . . . . . . . . . . . . . . . 85

2.3 Coefficient of the direct effects of SocialDiversity in 19 replicated ver-

sions of previous Model 3, each with a different measure for SocialDiversity 93

2.4 Conditional direct effects of Social Cleavages on the effective number

of parties (ENEPnat), in 19 replication versions of Model 5, each with

a different measure for SocialDiversity . . . . . . . . . . . . . . . . . 94

Annex 2.D – Distribution of variables used in the main models of this chapter106

Annex 2.E.1 - Changes in the direct effects from ENEPnat to PtyNat and

from PtyNat to ENEPnat according to the reliability assumed for

PtyNat as a measure of latent Nationalization . . . . . . . . . . . . . 108

3.1 Distribution of the geographical concentration of electoral support

(measured by EBMoran’s I) of all candidates . . . . . . . . . . . . . . 129

3.2 Concentration of population in each city and the average concentra-

tion of candidates’ electoral support in that city (using local-G) . . . 133

3.3 Logical outcomes of territorial distribution and how EB-Moran is ex-

pected to score* . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137

3.4 Distribution of the geographical homogeneity of electoral support

(measured by spGINI of all candidates . . . . . . . . . . . . . . . . . 139

3.5 Median cross-level predicted probabilities of being elected, according

to the level of geographical concentration of votes . . . . . . . . . . . 146

3.6 Random effects at the electoral circumscriptions - contribution of the

varying slopes of EBMoran’s I to its overall slope . . . . . . . . . . . 148

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Annex 3.A – Distribution of EBMoran’s I according to additional specifi-

cations of the neighbor matrix WI×J . . . . . . . . . . . . . . . . . . . 151

Annex 3.B – Distribution of variables used in the main models of this chapter152

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List of Tables

2.1 Simultaneous Eq. Models of the reciprocal relationship between party

system nationalization (PtyNat) and national effective number of

electoral parties (ENEPnat) . . . . . . . . . . . . . . . . . . . . . . . 87

2.2 Indirect effects to effective number of electoral parties (ENEPnat)

and to party ystem nationalization (PtyNat) in previous Model 3 . . 92

Annex 2.C – List of countries’ elections per tier that are in the data . . . . 104

3.1 Bayesian multilevel logistic models of the odds of being elected . . . . 143

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1

Introduction

This thesis presents three different studies on the relationship between elections,

party systems and the territorial distribution of politics. In specific, it is particularly

interested in how parties and candidates organize and compete across the territory

of countries. As well as in how the subsequent geographical distribution of voters’

electoral demand affects the electoral outcomes and the party systems that emerge.

It begins by offering, in chapter 1, a new theoretical definition of party and party

system nationalization. The concept is divided into four dimensions - nationaliza-

tion of party organization, of the electoral supply, of the electoral (realized) demand

and of the electoral outcome - with an application of such conceptual detailing to

the Brazilian case. Chapter 2 explores one of the consequences of party system

nationalization, that has never been tested directly. Namely, the idea that it would

be what makes Duvergerian propositions move from the local to the national level.

To test that, party system nationalization is included for the first time in a com-

parative model (with data on 62 countries) of national effective number of parties,

altering some of the canonical interpretations about party system fragmentation.

Lastly, chapter 3, with data on 5 Open List countries, questions the common idea

that personal voting would lead to geographical concentration (i.e. localization) of

candidates’ electoral support. More details will be given shortly, in the last section

of this introduction.

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I.1 The subject of nationalization: general theo-

retical framework

In a more general tone, this thesis has, as its framework, what Pitkin (1967)

has called the local-national ‘classical dilemma’, with which, according to her, Po-

litical Science has actually been always concerned. The fact that the question of

local-national politics indeed permeated the development of modern politics has

to do, in the first place, with a historical dimension. The birth and expansion of

representative government were somewhat contemporary to the very formation of

national States as such. In 1896, John Commons observed that, on the one hand,

in England and in the United States “the original object which produced represen-

tative assemblies was nationalisation” (1896:11-17). While, reciprocally, when the

principle of representation was discovered “it permitted the unity of a nation, while

preserving the freedom of the localities” (idem). In the meantime, while national

units emerged, representation transformed.

Edmund Morgan (1988) points out that one of the first steps in the quest of

representative government was precisely the passage from representation of persons

to representation of places. For him, “in the Anglo-American world, when repre-

sentatives ceased to be, where they had ever been, mere proxies for individuals, the

communities they represented were geographically defined (. . . ) It was possible to

stretch the fiction of one man standing for another or for several others to the point

where he stood for a whole local community” (p:41). And, more specifically, “in

England and America at least, the community was geographically defined” (idem).

Historically, it was not, of course, only the case of England and the US. Besides,

many currently democratic countries, not to say most of them, began their pre-

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democratic electoral history with electoral systems based on local districts just like

those two (see Boix 1999; Grofman and Lijphart 2003; Colomer, 2005; Calvo, 2009).

But if geography is in the very basis of representation, Agnew (1987) famously

argued that, for a long period, the empirical political literature would have neglected

attention to what we could call the location of politics. According to him, scholars

had treated the interpretation of political phenomena as if their locale and location

were irrelevant for the broader political happenings. Or, as Taylor and Johnston

(1979) put, at least as if they were irrelevant for the electoral universe of politics. In

fact, beyond some sparse intuitions on the possibility of political and social cleavages

being geographically demarcated (e.g. Rose and Urwin, 1975; Riker, 1982; Sartori,

1976; Kim and Ohn, 1992), most earlier comparative electoral studies disregarded

the importance of the geographical realization of elections. In reality, over time the

effects of electoral institutions became increasingly understood in a functionalist

manner, disregarding two important things. First, crucial aspects of the functioning

of these institutions have been theorized for the local levels (e.g. Duverger, 1954;

Cox, 1997). Second, specific territorial patterns can affect electoral and legislative

strategies and outcomes - therefore, altering the very outcomes of institutions.

Place matters. Parties organize themselves and compete with each other in the

territory, as well as elections are held in specific places. Parties, candidates, the

electorate, and the conformation of the electoral support - they can all have multi-

ple territorial faces and shapes, from local to regional, and then even national. That

is true both regarding the electoral and the legislative arenas. Both can be signifi-

cantly altered by the territorial formation of politics. Probably the most well-known

theory that explored such a possibility, was the wide-spread debate on distributivist

politics. The postulate of Edmund Burke that the locally elected politicians in the

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Westminster should be free to not have to behave in a localist fashion, was brought

to the American scene. But the usual interpretations were not optimistic, and the

US representatives became classically seen as prone to localism, pork barrel and

constituency services (see Mayhew, 1974; Fenno, 1978; Cain et. al., 1987). It is

no surprise that, after it, plenty of studies have appeared exporting the idea even

further, and trying to diagnose, criticize and maybe redress localisms in different

countries and different electoral systems (e.g. Mainwaring, 1991, 1999; Ames, 1995,

2001; Samuels, 2001; Crisp and Ingall, 2002; Shugart et. al, 2005; Golden and

Picci, 2008; Allen, 2010; Tavits, 2010). After all, “clientelistic politics is seen as

the ‘natural’ outcome of place-based, communal and traditional values” (Agnew,

1987:65).

In a word, in the long run it seems Burke has more than won the normative

dispute and representatives are often seem as they should be national-oriented. More

than that, almost everything in politics which is (or is supposed to be) local, became

increasingly seen as linked to the idea of parochialism (e.g. Mainwaring, 1991, 1999;

Samuels, 2001). One of the reasons for it is that nationalization of politics has been

often seen as either the natural course of democratic and structured systems (e.g.

Lipset and Rokkan, 1967; Sartori, 1968), or at least as the empirical achievement

that allowed the emergence of modern party competition (Caramani, 1996, 2003,

2004). Likewise, for Claggett et. al. (1987:77), the nationalization of American

politics was “consistent with the decline of parochialism and localism under the

onrush of modernization”. After all, that process of nationalization frequently meant

“political alignments have crystallized around national social cleavages to produce

national patterns of political mobilization and partisanship. In this model of political

modernization, geographical political cleavages are given (. . . ) primordial status”

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(1987:80). Which means to say they are seen as an unwelcome heritage from the

underdeveloped past.

This might help in understanding why the broader comparative study of the

territorial distribution of parties, candidates and electoral support remained under-

developed for quite a while. Probably, one of the main reasons is that nationalization

as a research object became a victim of the perceived success of nationalization, the

real process, in the developed democracies. Agnew (1987) noticed it when he pro-

posed in the 80s that, paradoxically, the reason for why these issues became less

prominent in the political sociology debate was precisely because the “declining

significance of place or locality” (p.3) has been seen as a given of the process of

modernization and of democratic consolidation.

In fact, until more recently, the question of whether nationalization indeed was

achieved, and then overcame the local or regional incentives, was not often explored.

The great exception was certainly the American case. Probably because, as men-

tioned, it was frequently cause of concern due to the local nature of the functioning

of its electoral system. After Schattschneider (1960) and Stokes (1967) both claimed

that the American politics had become quite nationalized after a long period of re-

gionalism, an intense debate was enacted. While many followed that interpretation

(Converse, 1972; Sundquist, 1973; Sorauf, 1980; Polsby, 1981), others offered evi-

dence on the contrary, it is, that nationalization was not exactly increasing (Mann,

1978; Pomper, 1980; Claggett et. al., 1984).

Still, even in what regards the US, the controversy did not survive the first half of

the 80s. Also, as mentioned, such modern debate on nationalization of the elections

and of parties, rarely reached other countries. Certainly never with intensity similar

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to that of the American earlier debate1. However, since the beginning of the 2000s,

but specially in the last decade, that scenario seems to have been changing quickly.

Some of the main works on the subject have been published in that period (e.g.

Caramani, 1996, 2003, 2004; Chhibber and Kollman, 1998, 2004; Morgenstern et.

al., 2009). There clearly is a renewed interest in the theme of nationalization of

electoral politics. Even more so, for the party and party system nationalization -

which is the most wide spread contemporary approach on dealing with the local-

national electoral question.

Figure I.1: Frequency of expressions “nationalization” and “party

nationalization” over “politics”, in aprox. 4.5 million books published in English

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ativ

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'nationalization'

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'party nationalization'

Source: raw data extracted from Google Books Ngram.Notes: omitting data from 1500 to 1900, which are more sparse.

The reasons for such renewed interest, currently in more specific terms and linked

to the development of party systems, are many. First, scholars like Caramani and

1One of the very few exceptions, which was also the single broad comparative effort for decades,was the work of Rose and Urwin (1975), where they proposed to analyze the impact of regionalcleavages on the electoral dispute in a selection of Western democracies.

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also Chhibber and Kollman noticed that much could still be learned from more thor-

ough studies of the historical development of the territorial distribution of politics

in the Western democracies. Second, scholars seem to have noticed that although

in the developed democracies nationalization might have looked like a solved issue,

there was still an open market to assess the degree of nationalization of politics

in the case of recent democracies of Latin America (e.g. Jones and Mainwaring,

2003; Aleman and Kellam, 2008; Harbers, 2010), East Europe (e.g. Ishiyama, 2002;

Bochsler, 2006; Meleshevich, 2006), Africa (e.g. Wahman, 2015) and Asia (e.g.

Hicken, 2009). In the third place, regional politics not only did not disappear but

seem to be actually on the rise in many advanced democracies (e.g. Hooghe et. al.,

2010). And lastly, scholars finally started to test whether or not previously imagined

consequences of low nationalization are in fact a fact (e.g. Hicken, Kollman, and

Simmons, 2008; Lagos-Penas and Lagos-Penas, 2009).

I.2 Road-map of this work

Notice, however, that so far I have not defined precisely what the concepts of

nationalization or localism exactly mean, or what they are referring to. That was on

purpose. On the one hand, because, actually, the literature itself seldom develops

what one should understand as nationalization of politics or, even more specifically,

as a nationalized party or election. On the other hand, because that is precisely

the exercise I intend to unfold in the first chapter of this thesis. Indeed, the lack

of a more detailed definition for these concepts raises two orders of problems. On

the epistemological side, scholars resort indistinguishably to the same or correlated

terms and to the same literature, despite of talking about different things. On

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the ontological side, the too broad idea of party nationalization in fact confounds

multiple phenomena. It means, the same party or party systems can be more or less

nationalized, depending on the dimension being considered.

I will propose a theoretical schema that splits party nationalization into four

dimensions, which are that of partisan organization, that of electoral supply, that

of the electoral demand, and that of the electoral outcome. Nationalization of

partisan organization deals with the degree to which parties are able to spread

their formal presence and their apparatus across the territory. Nationalization of

the supply means the homogenization of the presence of candidatures, that is, the

degree to which parties decide to withdraw or to face competition across districts.

Nationalization of the electoral demand refers to the degree of homogenization of

the electoral support that parties or candidates end up having. This has to do not

necessarily with the sociological homogenization of the electorate itself, but rather

to the homogenization of the appeal that the candidatures or their partisan labels

are able to exert across the eventual cleavages present in the electorate. Finally,

the nationalization of the electoral outcomes is the territorial homogenization of the

elected seats - which, by the distortion effects of electoral laws, can be different from

the nationalization of the electoral demand.

With such a detailing, my hope is that readers will be better prepared to ana-

lyze the local-national issues more accurately. By way of example, I will apply this

framework to the Brazilian case, using data on its elections for the Lower Cham-

ber (1945-2014). Brazil is a specially fitting case to testify the importance of the

proposed conceptual detailing. First, because, as I will show, its parties and party

systems can be differently characterized depending on which dimension one choses.

Secondly, because it allows me to demonstrate that also the investigation of the con-

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sequences of nationalization depends on better definitions of the term. To illustrate

it, I will use simulation to show that while the country has very high nationalization

of the supply, which according to Cox’s theory (1997, 1999) should not inflate the

party system fragmentation, it is actually Brazil’s low nationalization of the demand

that causes such inflation.

In chapter 2, I take this question one step further. I will investigate, in a com-

parative setting and trough proper estimation, the relationships that exist between

party nationalization and the fragmentation of party systems in 62 democracies

(1945-2012). This is a particularly important question, which deals with one of

the most pivotal electoral consequences that have been ever theorized regarding the

lack of nationalization. But only theorized, not directly tested. In fact, despite the

concepts employed, in one way or another most scholars have recognized party sys-

tem nationalization as being theoretically crucial to make the effects of Duverger’s

propositions move from the local to the national level. Surprisingly, however, nation-

alization has never been included as one of the explanatory variables in an empirical

model of party system fragmentation – what creates the risk of omitted variable

bias.

Consider that an important explanatory covariate of party system fragmentation,

like as social diversity measured at the national level (but not only: think also of

federalist status, upper tier sizes, among others), might conceivably be correlated at

the same time with the degree of party system nationalization - the covariate that

has been omitted. In this case, how to be certain that social diversity (or others)

really has any (or at least as much) effect on party system fragmentation as we are

used to think? In other words, the inclusion of nationalization in the model equation

of number of parties not only will show us the importance of nationalization upon

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the formation of party systems, but will also potentially alter the canonical and

conventional understanding of the causes of party system fragmentation.

However, scholars probably had their reasons for never including nationalization

in a model of number of parties. I argue that two of these reasons are likely to

be the fair concerns with the measurement and reciprocal causation types of endo-

geneity that may exist between these phenomena. The first has to do with the fact

that literature on electoral systems usually measures nationalization trough indices

that use number of parties in their formulae (inflation indices; see Chhibber and

Kollman, 1998; Cox, 1999; Moenius and Kasuya, 2004). Hence, it is impossible to

later use such measures as predictors in a model of number of parties. I propose to

solve this problem by using Bochsler’s Gini based measure of party system nation-

alization instead of the party inflation indices usually employed. The second type of

endogeneity is more problematic. It means the possibility that nationalization and

number of parties either cause each other or have a common omitted predictor.

To deal with such a problem, there is no better way than assuming the possible

reciprocity and modeling it explicitly. I will do that, specifying a model of reciprocal

causation through a nonrecursive system of equations. By doing so, I will show that

the effect of party nationalization on the number of parties is in fact clear and

strong, while the other way around is doubtful and weak. Then, I also show how

this inclusion of party system nationalization in the model of number of parties,

through a system of equations, indeed changes the role played by variables present

in the literature about this subject, like the canonical social diversity.

Lastly, in chapter 3, I will go back to the often assumed idea that personal voting

systems would breed localism, the cradle of parochial politics. With the burkerian

paradigm and the derivative debate on the UK and US in mind, authors tend to

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see personal voting as not only having a probabilistic propensity towards parochial-

ization, but as an almost sufficient condition for it (see Ames, 2001; Mayhew, 1974;

Cain, Ferejohn and Fiorina, 1987; Carey and Shugart, 1995; Bowler and Farrell

1993; Samuels, 2001; Shugart et. al., 2005; among others). However, since those

countries use a single member district, where the electoral circumscriptions are local

in scope, we still know very little about the extent to which pork barrel loci are

a consequence of the personal voting or of the districtalization of the electoral sys-

tems. That means, we do not know whether what weights the local-national balance

towards local politics is the fact that voters vote for specific candidates to the Lower

Chamber or the fact that the whole election is designed by law to operate at local

levels.

Broadly speaking, the idea is to verify whether specific electoral institutions

are expected to affect the degree of localism or nationalization of the system. My

argument is that it is not the personal voting rule that brings parochial behavior.

The problem is that to properly test it, one should not look to systems where

the elections are local de jure, but to systems that also have personal voting, but

in at-large multi-member electoral circumscriptions. Which means, systems where

personal voting is a given, but districtalization varies. That is exactly the case of

the open list proportional representation.

Under those systems, voters always have the choice of choosing a specific can-

didate. But candidates not necessarily have local electoral bases. On the contrary,

local electoral support is not a given, but rather will have to be demonstrated.

Hence, I will analyze elections to the Lower Chamber in five countries that use such

a system, with results disaggregated at the local administrative level (municipali-

ties) which lies within the countries’ multimember electoral circumscriptions (e.g.

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states, provinces, regions). The first aim is to verify the distribution of candidates’

electoral support across the territory trough spatial indices, in order to assess how

often candidates do have concentrated electoral support.

After that, I will use those measures as predictors of the odds of being elected,

to test whether electoral localism is electorally profitable. Results suggest that we

should not follow common assumptions without caution, since the majority of can-

didates do not have electoral support highly concentrated. Besides, concentrating

votes is related to the overall geographic concentration of population. The elec-

toral performance of parties has great effect for candidates even under Open List.

And spreading votes homogeneously across the territory is also profitable, just like

concentrating.

Thereby, in the end I hope I will have been able, first, to qualify the concept

of party and party system nationalization, showing the importance of a more thor-

ough conceptualization. Second, to directly investigate one of the most important

electoral consequences of nationalization, which is its effect on the party system

fragmentation. And third, to sustain the claim that localism and parochial politics

are not a direct function, or a necessary consequence, of specific electoral systems.

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Chapter 1

The multiple dimensions of party

nationalization - an application to

the Brazilian case

In this chapter I propose to circumscribe and to unfold the broad concept of

nationalization of parties and party systems into four dimensions. Simply put, there

are many types of party nationalization one may talk about when using such general

label. The epistemological problem, as it is always the case, lies in the fact that

by analyzing a given party, or a given party system, one can develop very different

understandings and achieve very different conclusions depending on what is taken

as nationalization. An ontological issue which accompanies that one is, however,

even more decisive. Namely, parties and party systems can in fact be highly and

lowly nationalized at the same time, in different dimensions of nationalization.

The case of the Brazilian Lower Chamber illustrates such situation quite well,

with a diverse set of parties in what regards nationalization. It is not uncommon, for

instance, for a Brazilian party to offer candidates trough the whole country, but to

end up actually only having a regionalized electoral support. Likewise, parties can

be well nationalized in terms of organization, but not necessarily offer candidates

trough the whole country. Additionally, even parties that are able to gather similar

electoral support all over the country, often are not able to win seats in all electoral

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circumscriptions.

My first aim is to define, in the next section, the main logical types of national-

ization we may think of when studying parties and party systems. Next, I exemplify

the application of such conceptual detailing by analyzing the Brazilian case. I will

show how important it is to define a priori what one understands by nationalization,

since the country’s party system can have divergent interpretations regarding each

dimension of nationalization. Lastly, I also show an example of how such conceptual

detailing might be relevant for important claims made in the literature, like Cox’s

(1997, 1999) on the cross-district linkage being a jointly sufficient condition for the

Duvergerian propositions to work at the national level. I will show, trough a simu-

lation, that in Brazil it is a very specific type of nationalization that matters when

it comes to affecting the country’s party system fragmentation. And the guilty one

is a type of nationalization which is actually different from the one Cox’s theory

would seem to expect.

1.1 Multiple nationalizations

The controversy over the meaning of party nationalization is not new. As well

acknowledged by the first time by Clagett, Flanigan and Zingale (1984), the concept

has broadly implied two different logics. On the one hand there is the idea of national

homogenization of the patterns of changes between two or more elections. Kawato,

for instance, described such interpretation as meaning that “if there is the same

direction and amount of electoral change in every district, then the electorate is

perfectly nationalized in movement” (1987:1237). Named dynamic nationalization

by Morgenstern et. al. (2009), it was the first broad concept of nationalization

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to become popular in the international literature, after the works of Stokes (1965,

1967), and later adopted by many other scholars (e.g. Converse, 1969; McLean,

1973; Butler and Stokes, 1974; Brady, 1985; Taylor et al., 1986; Clagett aet al.,

1984; Kawato, 1987; Bawn et al., 1999; Aleman and Kellam, 2008).

On the other hand, there is another understanding of nationalization that became

the standard during the last decade. It is the logic of nationalization interpreted

as being the homogenization across the territory in a given election. Named static-

distributional nationalization by Morgenstern et. al. (2009), the first scholar to

convey such idea was Schattschneider (1960), when talking about the consequences

that the regionalization of the offer of candidates and of the electoral support in the

US had to the electoral competition in the beginning of the last century. Later, one

of the most common definitions became Kawato’s (1987:1237), to who “the elec-

torate with a nationalized configuration is one that shows few regional and district

differences in partisan support”. While for Clagett et al. (1984:80), although na-

tionalization “may not mean the homogenization of the electorate, it suggests that

distinctive regional political cultures and traditions are being replaced by a more

similar mixture of political sentiments across the nation”. The process of national-

ization of a party would mean, therefore, a territorial penetration of some sort, so

that the partisan distribution across a given country in a given election would become

increasingly homogeneous. After Schattschneider, such interpretation gained popu-

larity, being more recently adopted by a number of important works (e.g Sundquist,

1973; Rose and Urwin, 1975; Lee, 1988; Jones and Mainwaring, 2003; Caramani,

2004; and Chhiber and Kollman, 1998, 2004, Bochsler, 2010).

In fact, recently, literature seems to have been adopting that second logic as

the standard basic definition of nationalization. The reason for it follows Jones and

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Mainwaring (2003:142) when they say that “both conceptions are meaningful, but

the term ‘nationalization’ of parties or the party system should be reserved”, specif-

ically, for the second, i.e. for the static-distributional nationalization. According

to them, those who adopted the other option actually “measured not the nation-

alization of the party system, but rather the nationalization of electoral trends (or

swings)” and logically “the concept of party system nationalization should refer to

the structure of the party system, not to whether electoral swings are similar across

districts”. I endorse such interpretation that “nationalized” is a construct which

relates more clearly to the synchronous distribution of a given characteristic across

the territory. One could even call it synchronous nationalization, in order to better

differentiate from the dynamic type.

Nonetheless, notice I vaguely mention “synchronous distribution of a given char-

acteristic” on purpose. As much as the generic static/distributional logic of na-

tionalization has been growingly becoming the literature’s standard, I claim that as

a concept it still lacks precise definition, since nationalization by these terms can

actually speak of many different things. In a word, what is more or less well-spread

across a given territory in a given election? Authors have been truly talking about

different things. The focus has varied between the territorial homogenization of

the electorate itself (e.g. Lipset and Rokkan, 1967; Sartori, 1968), of the electorate

response (e.g. Kawato, 1987; Clagett et al, 1984; Caramani, 2004), of the presence

of candidatures (e.g. Schattschneider, 1960; Cox, 1999), or of partisan organization

and partisan electoral strength (e.g. Schattschneider, 1960; Chhibber and Kollman,

2004; Mair, 1987). While for some like Caramani (2004), nationalization is proba-

bly a process that entails a variety of these aspects. From one author to the other,

the idea of static-distributional nationalization (be it trough the specific term or

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trough a correlate) sometimes have full differences in meaning, other times there are

smaller differences in emphasis. Slightly different terms are often employed either

to talk about the same subjects as if they were the same, or to establish dialogs

between authors as if they could do so without further clarification. In fact, it is

not rare, for instance, that Cox’s cross-district linkage (1997, 1999), cross-district

aggregation (Chhibber and Kollman, 1998, 2004) and nationalization are treated

as synonyms - what they not necessarily are. Still, it is not a matter of right or

wrong; both the term and the idea of nationalization breed multiple meanings and

it is only a matter of better theoretical definition. Here, I attempt to contribute

to such detailing by unfolding into four dimensions the usually broader concept of

static-distributional nationalization present in the recent developments of the field

of electoral and partisan studies1.

The first dimension is the (a)nationalization of partisan organization. Basically,

it is concerned with the extent to which the parties exist, are present and have

organizational apparatus across the territory of a given country. The general idea

that the inner organization of parties would be relevant for - and consequently an

important part of - the nationalization of politics, is surely not new. Early on, Du-

verger (1954:228) talked about an “increased centralization of organization within

the parties and the consequent tendency to see political problems from the wider, na-

tional standpoint”. While Sartori (1968:281) hit the spot even more precisely, when

marking “the development of a stable and extensive (...) organization throughout

the country” as one of the main conditions for parties to become structured. Even

1My dimensions do not pretend to be exhaustive. One could always think of new dimensions.Some obvious ones that I leave out would be the degree of nationalization: of the political agenda,of the discourses, of the campaign themes, of the implemented policies, among many others. Onein particular that I leave out is the nationalization of the electorate in sociological terms, as willbe discussed. I chose to focus on the basic dimensions of the electoral process that are usuallypresent in the debate on party systems.

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more specific, Rokkan linked the very process of nationalization of politics to “the

breakdown of the traditional systems of local rule through the entry of nationally

organized parties” (1970:227). As for what exactly means a nationally organized

party, Caramani (2003:436) highlighted that “to mobilize the most remote and pe-

ripheral electorates”, which was a quest successful parties progressively pursued in

order to face their adversaries, “parties needed a capillary network of local orga-

nizations”. Such network, with its “cross-local communication channels” (Lipset

and Rokkan, 1967:4), would be precisely what, in the hands of modern centralized

parties, allowed the overcoming of notabilat local (Caramani, 2003). It means a

party with national organization is a party which expands its activities and struc-

ture throughout a country, so it can eventually dispute the elections effectively not

only in specific regional spots.

A logical next step for such disseminated effective competition to become possible

is, of course, that a party decides to enter the electoral dispute throughout the

country. Which leads to our second dimension, the (b)nationalization of the electoral

supply. It aims on how well spread across the territory is the offer of candidates

presented by parties in a given election. Schattschneider (1960) was probably the

first to somehow call attention to the issue of spreading candidatures. As previously

mentioned, he pointed that the past decision of Democrats and Republicans to

withdraw from dispute in some areas due to regional issues shaped a regionalized

pattern to the American politics, with great consequences to the country’s electoral

competitiveness. Caramani (2003), by his turn, focused on the offer of candidatures

to claim that the expansion of parties entering the electoral disputes in different

electoral circumscriptions was related to the big historical change that he called the

end of silent elections, i.e. the emergence of really competitive dispute.

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However, it was certainly in the works of Cox (1997, 1999) that this dimension

of the supply got the most centrality in the political literature. In fact, the modern

idea of electoral coordination focused much more on the Duvergerian (1954) problem

of the prudent withdraw of candidatures - to use Cox’s (1997) words - than on the

complementary Duvergerian question of the avoidance of wasted votes by the voters2.

The nationalization of the supply of candidates has to do precisely with the extent

to which parties decide to back away from dispute in some areas of the countries.

Consequently, nationalization of supply is, for all effective purposes, a synonym of

Cox’s famous concept of cross-district linkage.

It may be true that at some points Cox uses his concept more loosely, maybe in

broader sense. But he is always referring to candidates, not to electoral support. To

the coordination among political elites, which is precisely what the nationalization

of electoral supply is about, rather than to the electorate. That is why, for him,

“the question becomes, why do politicians seeking election to the national legislature

from different districts find it useful to run under a common party label” (1997:186).

Or, even more clearly, “will a national market in which candidacies and withdrawals

are traded emerge?” (1997:181). More than that, though, the nationalization of the

electoral supply entails not only a scenario in which that market becomes national,

but actually one in which a party or parties increasingly offer candidates throughout

2As it is well known, the propositions of Duverger are that single-member district electoralsystems with only one turn would lead to bipartism, while other systems, namely proportionalsystems, would lead to multipartism. The two main explanations for that are roughly the degreeof incentives given by the systems a) for a party to withdraw candidates where they see to not havechances and b) for the voters to change their choices to avoid wasting votes with candidates thatare unlikely to win. In systems like the ones with proportional rules, parties may offer candidatesjust in case, with hopes of getting one of the many seats distributed per district, just like votersmay cast sincere-preference votes because even if the chosen party is not the winner, it may winsome seats. There is the increase in the number of participants and of winners. While in systemslike the single-member district with one turn, where there is only one winner per district, therewould be no point in offering candidates just to compete or in voting for loose-all candidates.

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the given country. And that is why, later, Cox himself properly defined his idea of

linkage, exemplifying that “at one extreme, each party in a country might field

candidates in just one district (..) At the opposite extreme, every party might run

candidates in every district” (1999:155).

To declare such dimension explicitly is specially important in order to separate

what is supply from what is the corresponding demand. Indeed, our third dimension

is what we could call the (c)nationalization of the electoral (realized) demand. Con-

trary to what Cox’s interpretation often leads us to assume, deploying candidates is

not enough to determine the behavior of the voters - as if supply and demand would

achieve a natural equilibrium. Or, in other words, as if there would rarely be can-

didatures without corresponding electoral support. Routinely, there are. Specially

in systems other than the single-member district with one turn (SMD) - which are

the far majority in the democratic World (see Golder, 2005) - but also in the SMD.

The undeniable greater tendency for supply-demand equilibrium under SMD does

not mean it is always, or even often, achieved. In general, under any system, while

it is true the possible responses from the electorate are previously bounded by the

political options offered by the elites (Schumpeter, 1950), these two dimensions of

electoral supply and demand cannot and should not be confounded as being the

same phenomena. Neither be seen as an always good enough proxy of each other.

Still, such mixing of concepts is very common. Even Cox somewhat mixed his un-

derstanding about the supply with the usual definitions of nationalization present in

the literature (see Cox and Knoll, 2003), which were mostly referring to something

that one could actually put at the demand side: the observed electoral support (e.g.

Claggett, et al, 1984, Rose and Urwin, 1970, 1975; Caramani, 2004; Morgenstern et.

al., 2009, Boschler, 2010).

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I will subscribe to that same interpretation, considering nationalization of the

demand as based on the territorial distribution of electoral results. Even though,

an important digression is due as a cautionary note. Of course that is not the

only possible meaning of the term “electoral demand”. On the contrary, this can

be quite an ambiguous concept. For some audience, it may evoke the idea we

could call “sincere demand”, hence referring to the nationalization of the preferences

present in the electorate. Often, this is connected to the set of needs or cleavages

of the electorate, that change sociologically and structurally over time. In this

case, the nationalization of the electoral demand is seen as a over-reaching historical

phenomena, as a process regarding the homogenization of the electorate itself trough

the substitution of the local territorial cleavages for the functional ones (see Taylor

and Johnston, 1979 and the review made by Caramani, 2003, 2004). Two of the

problems with this interpretation, nonetheless, are that it is very difficult to be

empirically assessed and, moreover, it deals with diachronic phenomena that usually

changes over centuries (Caramani, 2003, 2004). However, the most important issue is

the following. Certainly, even in a simplistic rational choice perspective, there would

surely exist a priori preferences within one’s utility function, given by whatever

cleavages one might see in the electorate. Still, any effective, realized demand that

is observable would be, in any case, intrinsically the result of the evaluation of the

real options at stake.

It is why the other, more promising (for empirical purposes) way to interpret

electoral demand may be as simply the electoral purchase, in terms of votes, that

is synchronously realized in a given election. Or, in other terms, it is what we

could call “realized demand”. It means the effective final electoral support, which

is due to the mere strategic choices made by voters in a given election, given the

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political options offered by parties. In this case, as aforementioned demand may

partially refer to Schumpeter’s “manufactured will”, since it is bounded by the

supply presented by the parties. But it also refers partially to the appeal parties

are able to exert over the electorate across the country where they offer candidates.

Therefore, the nationalization of the electoral realized demand talks about how much

the parties are able to appeal to all the electorate, i.e. to either appeal to voters

above regional differences that might still exist or to deal with electorate diversities

so to become appealing despite of them. That is why its usual assessment aims on

how homogeneous across a given country are the vote shares effectively gathered by

parties or candidates. This the way I will treat the nationalization of the demand,

as realized demand. In a word, as the nationalization of the effective final electoral

support.

Lastly, the fourth dimension of party nationalization is the (d)nationalization of

the electoral outcomes. It means, how nationalized are the allocated seats. Differen-

tiating voters’ electoral support and the electoral outcome is important, of course,

due to the dis-proportionality between votes and seats, caused in different degrees

by all electoral formulas. Let’s imagine, for instance, a plurality election in a given

country with N number of n electoral circumscriptions. Suppose all parties running

offered candidates in every n, making the system to be perfectly nationalized in

terms of supply. Also, suppose all parties ended up with very similar - although not

identical - percentage of total votes in each n. Hence, the 3 most voted parties, A,

B and C had everywhere close to 33% of the votes each. This would be also a highly

nationalized system in terms of the electoral supply. Now, let’s suppose party A

always won in the northern electoral circumscriptions, with around 34% of the votes

in each. By its turn, party B always won in the southern circumscriptions with

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around 34% of the votes, while party C always won in the circumscriptions at the

central pat of the country. Clearly, the electoral outcomes in such a country would

be very regionalized, despite the electoral supply and the demand being perfectly

or very highly nationalized. Such reasoning can, of course, also affect proportional

electoral systems - specially those that have devices to favor bigger parties. As well

as proportional systems where the magnitudes of the electoral circumscriptions vary

widely3.

The possible differences between electoral demand and outcome are also good

examples of why distinguishing types of party nationalization is also interesting from

an ontological point of view, besides the clear epistemological gains. It means, it

is not only a matter of conceptual detailing for the sake of clarity. The reality

itself presents a scenario in which parties can be in different positions regarding

each dimension of nationalization. Logically, a party can be nationalized in terms

of organization, but not offer candidates throughout the territory. Also, a party

can have nationalized offer of candidates, but end an election having a regionalized

electoral support. And as discussed, a winner party can have a nationalized elec-

toral support, but end up having a regionalized distribution of allocated seats. It

means these dimensions have some degree of independence. Specifically, a party

being highly nationalized in one of them doest not mean it will be deterministically

nationalized in the next. Although, of course, one might claim it increases such

3After all, even if all parties have exactly the same share of electoral support in all circumscrip-tions of a country, the distribution of seats could end up being quite uneven if many circumscriptionshave few seats to be allocated (say, for instance, 1 to 3), while others have plenty (e.g. dozens).The reason is that no matter how similar is the electoral support across circumscriptions, in theones with low magnitude very few parties would be able to get seats, while plenty of others couldlogically be awarded a seat in the circumscriptions with grater magnitudes. Now suppose thesebigger circumscriptions are localized only in the south part of a country. Consequently, the partieswhich are only able to get seats in the bigger circumscriptions will be southern patterns in termsof electoral outcome.

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likelihood. After all, for any given party, having more nationalized organization may

increase the odds of presenting candidates in more areas of the country. Presenting

candidates everywhere may reasonably increase the odds of achieving a less uneven

electoral support, and so on.

On the other hand, being regionalized in one dimension may in fact be determin-

istic to how the party will end up being in the next dimension. Let’s see. Considering

the same territorial units, a party with regionalized organization simply cannot offer

candidates throughout the whole territory. Also, a party with regionalized offer of

candidates simply cannot end up having a nationalized electoral support. Lastly, a

party with regionalized electoral support shall not have a nationalized presence in

the national Legislative4. It means that being regionalized in one dimension in fact

bounds the possibility of being nationalized in the next.

In summary, one could say that being regionalized in one dimension precludes

from being nationalized in the next dimension, while being nationalized in one di-

mension does not precludes from being regionalized in the next dimension (although

decreases likelihood). Such complex relationship between the dimensions gets clearer

if we think that in a sense each dimension is a subset of each other, as can be seen

in Figure 1.1. In that Venn diagram, when a circle expands, it does not mean its

inner circles will do the same, but when it shrinks it certainly bounds the space that

its inner circles can occupy - or even press then to shrink too.

The nationalization of the electoral supply is a subset of the nationalization of

the party organization, what makes intuitive sense. A party can only offer candi-

dates where it exists. Next, notice the less intuitive relationship that shows the

4Of course, this last step of the reasoning is not fully deterministic. Depending on how theelectoral rules translate votes into chairs, one could eventually find a scenario where a regionalizedelectoral support end up achieving a more nationalized seat distribution. This is probably a rareexception, however

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Figure 1.1: Venn diagram of the 4 dimensions of party and party system national-ization

Natorganiz.

Natsup.

Natdem.

Natout.

nationalization of the electoral demand as a subset of the nationalization of the

electoral supply. As previously debated, indeed voters can only opt to vote for can-

didatures that exist. It means not only that electoral demands can be created by

the political supply to which voters are exposed, instead of the other way around.

But more importantly here, it means even if there is such a thing like an a priori

set of preferences that is homogeneous across the territory, it will be of no effect

if the corresponding political parties that could fulfill such demands do not offer

candidates, by any reason, in all the territory. Similarly, the electoral demand itself

mostly bounds the electoral outcome5.

However, once we move from one broad and fuzzy concept of nationalization to

a more refined understanding of its dimensions, we pay a price in easiness regard-

ing how to design the empirical data gathering. The reason is when we include

dimensions that are not necessarily from the electoral arena, the geographical units

in consideration do not have to be the electoral circumscriptions anymore. More

than that, each dimension has different degrees of flexibility in what regards the

5Again, a nationalized electoral support might frequently be distorted by the electoral rulesinto a more regionalized electoral outcome. A regionalized electoral support logically could betransformed in nationalized electoral outcome, but it is certainly quite an unlikely scenario.

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geographical unit it will refer to. For instance, consider a country like Brazil, where

the electoral circumscriptions for the national Lower Chamber are the 26 states plus

the capital, adopting proportional representation (PR). It would not make sense to

ask whether or not the parties are nationalized across the municipalities of a state

in what regards the electoral supply, since offering a candidate in a state means

necessarily offering such candidature in all of that state’s municipalities. However,

depending on the research question it would be quite reasonable to ask whether

the parties are nationalized across municipalities in terms of electoral demand or

electoral organization, since parties can achieve dissimilar electoral support in each

city of a state, despite the electoral district being the whole state.

Evidently, the chosen geographical units always matters. Actually, in case one

considers different territorial units for each dimension, the previously appointed

relationship between the four dimensions ceases to be what we could roughly call

“one-way deterministic, one-way probabilistic” and moves towards being only proba-

bilistic, at most. Again in the example of Brazil, a given party may easily be present

and have organizational apparatus in every one of the 27 electoral circumscriptions,

since they are so few circumscriptions. But, if we look at a more disaggregated

geographical levels, like the municipalities in which the states are divided, the same

party can be actually very badly nationalized in terms of organization. It means,

the party can be present just in very few municipalities (e.g. the urban or the rural

ones, the big or the small ones, etc). Now, suppose that party eventually offers

candidates in every one of the 27 electoral circumscriptions. The absence of party

organization from many municipalities does not preclude that the party will have

homogeneous electoral support across states. However, it is reasonable to think that

such a result is less likely than it would be had the party a strong organization in

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all of the country’s municipalities.

Before moving to the empirical examples with the Brazilian data, however, sec-

tion 2 starts by reviewing the literature on the nationalization of the Brazilian par-

ties and party systems, in order to prepare us to get to the analysis of the country’s

system.

1.2 The debate about nationalization in Brazil

The broad issue of the nationalization of politics is an old acquaintance of the

Brazilian debates, both in academia and in the political history of the country. It

is well known that in 1930 the first coup d’etat of the Brazilian Republic aimed

precisely at, among other things, counterbalancing the political force of the regional

oligarchies that had ruled the country until then (e.g. Skidmore, 1967; Fausto, 1987;

Hentschke, 2007). Therefore, when the transition to democracy was at sight in the

1940s, naturally the project of the ending dictatorship involved avoiding the return

of the only-regional parties that existed since 1889.

Such objective was pursued trough both formal and concrete measures. The

new Electoral Code that finally brought democratic elections to Brazil in 1945 was

the first to explicitly request the creation of any new party should need signatures

from supporters located in more than one state of the country (Souza, 1976). It

was meant as a way to enforce, at the formal level, that all parties would have to

somehow seek to spread their organizations across the country. At the same time,

the falling government used its public apparatus to collect signatures and to create

two State-born parties all over Brazil (idem), while a third big party emerged from

joining the opposition of the regime across the country (Oliveira, 1973). The result

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was that with two to three big national parties, i.e. serious national contenders from

the beginning, the following creation of regional parties by regional forces would

become less tempting6.

Lamounier (1982) has claimed that even the very adoption of the proportional

representation in Brazil in that period, after many decades of majoritarian electoral

systems, had to do in part with the concern with the nationalization of politics.

After all, Assis Brasil (1893), who was the country’s main scholar on and main

advocate of the PR system, had been claiming since the 19th century that such

system would be the way to create truly national representation in the country. For

him, if the electoral circumscriptions were big enough, with a big enough magnitude

and proportional representation, “the representative will be, by the virtue of the

law, protected from the pressure of the particular interests that are incompatible

with the common good (...) The members of the majority will be, in fact and by

right, attorneys of their whole party, for they would have received from the whole

party the votes to get elected” (Assis Brasil, 1893:198-200)7. As can be easily seen,

he was worried about overcoming localized forces and localized interests, in favor

of the Lower Chamber being pushed to handle nationalized issues. A concern that

was shared by plenty of other authors and politicians. Amado (1931), for instance,

was even clearer when he claimed the vote under proportional rules is “cast to the

ideas, to the party, to the group”, while under majority rule it is given to the local

candidate, to the “individual, to the godfather, to the friend, to the boss, to the

6A divergent understanding is offered by Lima Jr. (1983). For him, while the country in practicestarted with these few big national parties, the legal requirements for new parties didn’t block thebirth of parties that, while were not fully regional like the ones before 1930, were still much moreregionalized.

7In the original: “o representante estara, pela unica virtude da lei, obrigado contra a pressaodos interesses particulares que forem incompatıveis com o bem geral (...) Os membros da maioriaserao, de fato e de direito, procuradores de todo o seu partido, que de todo ele receberam os votosque os elegeram”

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local chief” (p:71)8.

This reasoning was the very same that lead Duverger (1951) to later say that

while “majority vote accentuates geographical divisions of opinion” (p.331), the

proportional representation “compels the elector to vote for a party rather than for

personalities, that is to say, for a system of ideas and an organization of national

scale rather than for the champions of local interests” (p.333). Besides, for Rose and

Urwin, multi-member electoral circumscriptions that are typical in PR systems give

“much more incentive for parties to offer a full slate of candidates in all regions”

(1975:19). While Caramani (2003:436) puts it even more directly, that PR systems

“had a major effect on reducing territorial opposition [in Western Europe]. After

its introduction, competition mainly opposes groups and parties on an ideological

non-territorial basis”. In fact, most Brazilian analysts and scholars were seeking

to stimulate a Brazilian version of the nationalization process Caramani (2003) de-

scribed when studying the Western European countries. Which, of course, they felt

Brazil was still lacking. This is the process by which regionalized, geographically

bounded cleavages historically gave place to others non-territorial, like ideology.

In his words, Caramani (2003:434) states that “with the gradual disappearance of

territorial strongholds, competition transformed from territorial into functional”.

And, drawing from Sartori, he clarifies that the functional–ideological dimensions of

conflict “are mainly the left–right and religious dimensions” (idem).

Such quest for political nationalization, and more specifically for the nation-

alization of the partisan competition, however, has to be split into the different

dimensions I delineated in the last section. It is clear for the Brazilian literature

that, during the democracy of 1945-64, the previously mentioned incentives for the

8In the original: “dado as ideias, ao partido, ao grupo”, while under majority rule it is given tothe local candidate, to the “indivıduo, ao compadre, ao amigo, ao boss, ao chefe local”.

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nationalization of party organization were effectively present. Maybe even incen-

tives for a higher nationalization of the electoral supply as well. After all, under

the new PR system with big district magnitudes the parties would tend to offer

candidates in electoral circumscriptions where they had less chance, once PR gives

more hope for minor parties. At the same time, literature on Brazil has always

been quite pessimistic about anything related to the nationalization of the demand.

But it is important to stress that, informed by a sociological reading, earlier stud-

ies on that period focused on the structural characteristics of the electorate itself,

rather than on the electoral choices. Therefore, differences between urban and rural

areas, or between rich and poor regions, have long been identified as hedges that

created multiple actual countries within one formal Brazil (e.g. Lambert, 1971),

and which posed considerable challenges to the proper development of a national,

institutionalized political system (see Britto, 1965; Soares, 1973). The analysis of

the nationalization of the electoral support itself got mostly neglected until Lima

Jr. (1983) and Santos (1987).

Indeed, the different levels of nationalization of electoral supply and of electoral

demand constitute a particularly central question. As Kawato (1987:1237) puts it,

“if reaction to the national party plays the most important role in an election and

the composition of the electorate in most districts is similar, then it is probable that

every district will show a similar level of partisan support” (emphasis mine). To be-

come fully nationalized, parties would have to be well spread across a country in as

least two of the dimensions defined previously: supply and demand. Regarding the

democratic period of 1945-1964, the general assessment of the Brazilian situation

is, until today, controversial. Lima Jr. (1983) claimed that over time the political

system was indeed becoming more nationalized, since during those years regional

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parties would expand their presence around the country, while national parties pene-

trated in the regions and states. Later, Santos (1987), Lavareda (1991) and Nicolau

(2004) argued that, in reality, small and medium parties ended the period being

either more or at least equally regionalized as they were at the beginning. While

the larger, more important parties, were in fact growing more national. Still, it is

common to find case studies of the larger parties that claim the opposite, i.e. that

they never became actually national (e.g. Benevides, 1981, 1989; Hippolito, 1985)

be it in their presence, supply or demand.

By one hand, it has never been clear neither how nationalized the Brazilian par-

ties became, nor whether their level of nationalization was increasing with time.

The reason for the confusion is that scholars usually lacked an a priori specific defi-

nition of what they have been understanding for “nationalized”. By the other hand,

hardly an observer or a scholar would deny that the political issues under debate

became increasingly national (see Souza, 1976; Abrucio, 1998), and that cleavages

in fact became ideological, rather than as territorial as they were until the 1930s or

1940s. As a matter of fact, never again the regionalized politics were to become such

a prominent issue in Brazil, as it had been before. After that democratic period,

of course the issue even ceased making sense during the dictatorship that followed

the 1964 coup d’etat - a coup some attribute to the lack of governability caused by

the fragmentation and polarization of the political forces in the Legislative branch

(see Santos, 1979). The military junta soon forced a two-party only system that

lasted for almost twenty years. Such authoritarian interlude had a clear nationalist

discourse and centralized the country in what regards many of the state powers,

helping to further rub out past regional quests.

All summed, during the transition to the current democratic period in the 1980s,

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the issue of nationalization deserved much fewer attention. But still, with quite di-

vergent conclusions. Lima Jr. (1983:301) claimed that the Brazilian states currently

are “politically different in their electoral and partisan manifestations”9. While

Mainwaring (1999:318-319) goes further to say that, in Brazil, “a rigor, os partidos

nacionais sao federacoes de partidos estaduais” and that “uma ultima consequencia

da importancia da dinamica estadual no sistema partidario e seu baixo grau de na-

cionalizacao - no sentido de que os padroes de voto variam significativamente entre

os estados”. By his turn, Samuels (1998) points that the recent politics in Brazil are

strongly state-based, while Ames (2001) concludes that Brazil does not even have

what could be called national parties. Recently, diagnostics following the opposite

direction started to show up, arguing that the Brazilian party system is becoming

more nationalized. Roma and Braga (2001) have claimed that since the presiden-

tial and legislative elections became simultaneous in 1994, the large parties have

been pursuing a national strategy when forming alliances10, in a reasoning about

the presidential elections that resembles Cox’s (1997). Braga has also sustained

that the partisan organization (2006) and the electoral presence of parties (2010)

had become more nationalized in Brazil since the 1990s. While Speck and Campos

(2014) argued that the TV airtime given to parties for propaganda would be one of

the reasons for such nationalization.

In any event, as it is easy to notice, the subject of party system nationalization

in Brazil remains quite open. Scholars have been debating about the general sub-

ject using very different concepts, very different understandings, summoning very

different evidence. Below, I hope to show how better defining nationalization helps

solving part of these questions. I will present data for the Brazilian case, on the

9In the original: “politicamente diferentes em suas manifestacoes eleitoral e partidaria”.10For a relativization of those findings, see Krause (2005).

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33

four dimensions of party and party system nationalization, focusing on the country’s

Lower Chamber. In order to proceed, a brief introduction on the electoral system

used for these elections might be useful. In all democratic elections for the Lower

Chamber since 1945, Brazil has adopted an Open-List PR system, with the elec-

toral circumscriptions being the country’s states plus the capital city area (there

have been from 22 to 27 in the period). Magnitudes of electoral circumscription

ranged from 1 to 70, currently the minimum being 8 and the maximum being 70.

The Brazilian version of open list system has been working as follows.

In each election, voters have only one vote for the Lower Chamber, which can be

either cast for a specific candidate or for a party label. Electoral alliances between

parties, per electoral circumscription, have been allowed. The great majority of

voters cast votes for specific candidates and, in this case, the vote is firstly counted

for the party/alliance to calculate how many seats are going to be won, if any, by

that party/alliance. Next, the vote is used to determine which candidates of the

party/alliance are going to fill the seats won. As an example, suppose the case of

candidate C, from party P, which is a member of alliance A. A vote given for C is

first used to determine how many seats A will win in C’s electoral circumscription.

Let’s say A won S seats. Then, the S most voted candidates in the circumscription

are going to fill the S seats.

I will present data covering different periods of time depending on the type of

nationalization being analyzed, according to availability. All raw data comes from

Brazil’s official Electoral Justice branch, the Tribunal Superior Eleitoral (TSE).

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34

1.2.1 Nationalization of organization

Since in both Brazilian democratic periods there have been very few electoral

circumscriptions and the country never had many registered parties (at most around

thirty), it is no surprise that pretty much in every national election all registered

parties have been somewhat present (i.e. had directories, offices, members) in every

electoral district (i.e. the states plus capital). Being so, if the geographical units

of interest are these circumscriptions, the Brazilian system has always been almost

perfectly nationalized in what regards nationalization of the partisan presence across

the territory. It is, therefore, of no use to present specific data on party presence

per circumscription since the results are the same in every state. But what I will

double-check is how nationalized has been the organizational strength of each party

in Brazil recently. As a loose proxy, I will use the share of official party members

that were held by each party, during the last four elections. Geographical data on

electorate affiliated to the registered parties were available only from 1994 onwards.

More precisely I will assess, for each party, the territorial homogeneity, across the

country’s electoral circumscriptions, of the percentage of partisan members that are

official members of the given party in each circumscription.

To measure it, I employ a weighted regional Gini index of territorial inequality.

Specifically, I will employ the complement-Gini index version proposed by Bochsler

(2010) for measuring party nationalization, which takes the usual weighted spatial

Gini and standardizes it by the number of electoral circumscriptions (in this case,

the states plus capital). It is usually called party nationalization score, or PNSsw,

with the subscripts standing for standardized and weighted. This measure has many

advantages. First, the Gini index and its interpretation are well known, unlike most

other common options for assessing party nationalization (for a comprehensive list

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35

Figure 1.2: Nationaliz. of organization: homogeneity of % membership across elec.circumscriptions

PR

TB

PT

NP

CB

PT

DO

B PV

PR

PP

ST

UP

SC

PR

NP

MN

PF

LP

DT

PC

DO

BP

PS

PS

BP

MD

BP

PP

TB

PS

DB

PT

PL+

PR

ON

A

00.10.20.30.40.50.60.70.80.9

11994

PC

BP

CO

PR

TB

PS

TU

PT

NP

SN

PT

DO

BP

SL

PS

DC

PV

PR

PP

PS

PS

CP

RN

PM

NP

DT

PF

LP

SB

PC

DO

BP

MD

BP

PB

PL+

PR

ON

AP

TB

PT

PS

DB

00.10.20.30.40.50.60.70.80.9

11998

PC

BP

CO

PR

ON

AP

ST

UP

RT

BP

T D

O B

PG

TP

TN

PT

CP

SD

PD

TP

SL

PR

PP

HS

PAN

PS

TP

SC

PS

DC

PV

PM

NP

FL

PC

DO

BP

PS

PP

BP

MD

BP

SB

PT

BP

TP

LP

SD

B

00.10.20.30.40.50.60.70.80.9

12002

PR

BP

CB

PS

OL

PS

TU

PC

OP

RO

NA

PR

TB

PT

DO

BPA

NP

DT

PT

CP

RP

PS

CP

TN

PF

LP

PP

SL

PM

NP

SD

CP

PS

PC

DO

B PV

PM

DB

PH

SP

SB

PT

PT

BP

SD

B PL

00.10.20.30.40.50.60.70.80.9

12006

PC

BP

CO

PS

TU

PT

DO

BP

RB

PR

TB

PR

PP

SO

LP

TC

PC

DO

BP

MN

PS

LP

SC

PT

NP

DT

PS

DC

PH

SD

EM PV

PS

BP

PS

PP

PT

BP

RP

MD

BP

TP

SD

B

00.10.20.30.40.50.60.70.80.9

12010

PC

BP

CO

PE

NP

ST

UP

RO

SP

SO

LP

RT

BS

DP

T D

O B

PR

PP

SD

PT

CP

C D

O B

PR

BP

TN

PD

TP

MN

PS

LP

PL

PS

DC

PS

CD

EM

PH

SP

VP

PP

PS

PS

BP

TB

PM

DB

PR PT

PS

DB

00.10.20.30.40.50.60.70.80.9

12014

0% 2 5 8 10 12 15 18 20 22 25%Registered parties / Legend: countrywide elec.support:

Wei

ghte

d te

rrito

rial h

omog

enei

ty o

f mem

bers

hip

rate

s

of these options, see Caramani, 2004 and Bochsler, 2010). It assess precisely what

we want, which is territorial homogeneity versus heterogeneity, of the quantities of

interest. Second, the weighted Gini accounts for the sometimes huge differences

that may exist between electoral circumscriptions in terms of size of the electorate.

Third, by applying the standardization proposed by Bochsler, we make the index

also comparable among countries with very different number of electoral circum-

scriptions11. Here, the quantity of interest that I will apply the index on is the

11Although here that is not particularly useful since there is no international comparison, lateron I will use the index again for measuring nationalization of the electoral demand and will put

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36

partisan membership force rate. It is, for each party p of the set of parties P , the

percentage given by the number of voters who are members of party p in circumscrip-

tion c, i.e. pc, divided by the total number of voters that are members of any party

P in c, i.e. Pc. In the end, the index ranges from 0, which means extremely unequal

distribution of membership force across the electoral circumscriptions (or extremely

poor nationalization of organization), to 1, which means perfectly equal distribution

of membership force across electoral circumscriptions (or perfect nationalization of

organization)12. Figure 1.2 has the results.

In fact, it seems in the years of the last four elections to the Lower Chamber,

the Brazilian parties had not only been present in all electoral circumscriptions, but

they also have been able to penetrate their organization somewhat evenly too. It

means that, taking into account the demographic differences of the electoral cir-

cumscriptions, most parties have proven to have a quite nationalized distribution of

their membership force. Only very few parties show lower levels of nationalization

of the membership and these are precisely the very smallest parties in the country13.

It suggests Brazilian parties are in fact at least in a good position to compete evenly

across the circumscriptions. If they in fact do that, it is something I will show in a

moment. Before, however, it may be interesting to make a very quick detour and

show how results can be dissimilar when we break the concept of nationalization

and start playing with the geographical units being considered.

It means, there is something we can do to better understand the penetration of

the parties’ infrastructure across Brazil. We can focus on a different geographical

the Brazilian data in comparative perspective. Anyway, it is always useful to deliver figures thatcan be further compared by the readers themselves to data they might have on other countries.

12The original formula for Bochsler’s index can be found in Annex 1.A13From now on, any reference to the size of parties will be made in terms of final national results

for the Lower Chamber.

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37

Figure 1.3: Presence of parties’ organization across the Brazilian municipalitiesP

RT

BP

TN

PS

TU

PC

BP

VP

T D

O B

PP

SP

RP

PM

NP

SC

PC

DO

BP

RN

PS

BP

L+P

RO

NA

PT

BP

TP

DT

PS

DB

PP

PF

LP

MD

B

0102030405060708090

1001994

PC

OP

TN

PC

BP

RT

BP

ST

UP

SN

PS

DC

PT

DO

BP

SL

PV

PR

PP

MN

PR

NP

PS

PC

DO

BP

SC

PS

BP

L+P

RO

NA

PT

PD

TP

TB

PF

LP

PB

PS

DB

PM

DB

0102030405060708090

1001998

PC

OP

CB

PS

TU

PG

TPA

NP

TN

PR

ON

AP

HS

PR

TB

PS

DC

PT

DO

BP

ST

PV

PS

LP

TC

PR

PP

MN

PC

DO

BP

SC

PS

DP

PS

PS

B PL

PD

TP

TP

TB

PS

DB

PF

LP

PB

PM

DB

0102030405060708090

1002002

PR

BP

CO

PS

OL

PC

BP

ST

UP

RO

NA

PAN

PT

NP

RT

BP

T D

O B

PH

SP

SD

CP

SL

PT

CP

VP

RP

PM

NP

C D

O B

PS

CP

SB

PP

S PL

PD

TP

SD

BP

TB

PT

PF

LP

PP

MD

B

0102030405060708090

1002006

PC

OP

ST

UP

CB

PS

OL

PT

NP

RT

BP

T D

O B

PS

DC

PH

SP

RB

PS

LP

RP

PT

CP

MN

PC

DO

B PV

PS

CP

PS

PS

BP

RP

DT

PT

BD

EM PP

PS

DB

PT

PM

DB

0102030405060708090

1002010

PC

OP

CB

PS

TU

PE

NP

PL

SD

PR

OS

PS

OL

PR

TB

PS

DC

PT

NP

T D

O B

PH

SP

TC

PR

PP

SL

PM

NP

RB

PC

DO

BP

SC

PV

PS

DP

PS

PS

BP

RP

DT

DE

MP

TB

PS

DB

PP

PT

PM

DB

0102030405060708090

1002014

0% 2 5 8 10 12 15 18 20 22 25%Registered parties / Legend: countrywide elec.support:

% o

f mun

icip

aliti

es w

here

par

ties

are

offic

ially

pre

sent

unit, since TSE has been also collecting data on party membership at municipal

level since 1994. Municipalities are the cities into which the Brazilian electoral cir-

cumscriptions are divided. Therefore, I will go down in geographical disaggregation.

Figure 1.3 shows in how many cities each Brazilian party has been officially present,

which means in how many cities they have had a directory, an office. To measure

it, I consider a given party was present in a given municipality if it had at least

one member in there, since to establish an office, a directory or any sort of official

presence a party would have to have at least one member.

As it can be seen, even in recent elections few Brazilian parties were present in

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38

close to all municipalities of the country. Most parties have been present, actually,

in less than 50% to 60% of the municipalities. However, not surprisingly, the parties

that have a more well spread presence across municipalities are exactly the biggest

ones, who have had the greatest electoral support for the national Lower Chamber

elections. It even looks like the system can be divided in two general groups. One

with the parties that get the greatest share of electoral support and are present in

almost all municipalities of Brazil. The other with the parties that gather medium

to low levels of country-wide electoral support and are present in less than 60%

of the Brazilian municipalities. Certainly, using the diagonal reference line, it is

possible to see that the organizational-nationalization of the party system has been

increasing, with these low and medium nationalized parties spreading a bit more

over the years. For an additional but similar assessment, see the figure at Annex

1.B, showing similar results but with data for the percentage of cities where parties

have presented at least one candidate in the municipal elections - be it for mayor or

for local Legislative.

Still, that movement in Figure 1.3 has been a small one. It is unfortunate

that similar data are not available for previous years for us to compare the recent

situation to that of the beginning of the current system in the 80s to that of the

previous democratic period in 1945-1964. But if the visual pattern was consistent

backwards, it looks like at least in the 80s and 90s the system was probably steeply

divided between a small group of parties with national presence and a majority

group of parties with only regional presence. Of course, these results use a different

geographical unit than the one I employed before and will use from now on. But

it helps to understand that the territorial presence and the idea of nationalization

can have multiple faces. It is even reasonable to expect interconnections, like for

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39

instance that the badly spread presence of parties in the cities of Brazil may affect,

for instance, the capability of the parties to win votes in certain areas of the country

despite of offering candidates.

1.2.2 Nationalization of the supply

Talking about offering candidates, I have just mentioned that in terms of the

electoral circumscriptions (states+capital), the Brazilian parties are in a good posi-

tion to offer candidates for the Lower Chamber all over the country, since they are

present in all circumscriptions and with well spread membership force. It means

they have a first condition for achieving a high cross-district linkage, to use Cox’s

(1997, 1999) expression. To asses it, Figure 1.4 shows in how many Brazilian elec-

toral circumscriptions each party has presented candidates for the Lower Chamber

in each democratic election since 1945.

The situation is quite different for each of the democratic periods of Brazil. From

1945 to 1962, there was a clear pattern of low nationalization of the partisan supply.

Only three parties offered candidates in close to all electoral circumscriptions. And

as it is shown by taking into consideration the cumulative line of electoral support

in the right Y-axis, these few nationalized parties in terms of electoral supply were

exactly the three biggest parties that dominated such electoral period. All other

parties had a less spread supply of candidates, with most being fairly regionalized

in such terms. There was a division, therefore, between national big parties and

regional small and medium parties, just like we saw it was claimed by the Brazilian

literature. And the system didn’t look like it was presenting any major change

across time, specifically it does not look like the smaller parties were getting more

nationalized in terms of the electoral supply - like Santos (1986) and Nicolau (2004)

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Fig

ure

1.4:

Nat

ional

izat

ion

ofth

esu

pply

:num

ber

ofel

ec.

circ

um

scri

pti

ons

wher

epar

ties

offer

edca

ndid

ates

PR

PL

PAN

PDC

PRD

PRProg.

PPS

PRP

PTB

PCB

PSD

UDN246810121416182022

0102030405060708090100

1945

POT

PRB

PDC

PL

PTN

PSB

PRT

PRP

PST

PR

PSP

PTB

UDN

PSD

24681012141618202224

0102030405060708090100

1950

PST

PRP

PRT

PTN

PL

PSB

PDC

PR

PSP

UDN

PSD

PTB

24681012141618202224

0102030405060708090100

1954

PRT

PTN

PL

PRP

PST

PSB

PDC

PR

PSP

PTB

UDN

PSD

24681012141618202224

0102030405060708090100

1958

PRT

PL

MTR

PR

PRP

PTN

PST

PDC

PSB

PSP

UDN

PTB

PSD

24681012141618202224

0102030405060708090100

1962

PTB

PDT

PT

PDS

PMDB

24681012141618202224

0102030405060708090100

1982

PASARTPDI

PNRPRTPTNPMNPRPPTRPCN

PNPSPJ

PMCPPBPND

PHPMBPSCPDCPCB

PLPCdoB

PSBPTBPDSPDTPFL

PMDBPT

2468101214161820222426

0102030405060708090100

1986

PAPPBMPEBPRSPSU

PDPLHPNT

PSPAS

PRONAPSLPCNPRP

PTdoBPSDPSTPMNPSCPCBPTBPTRPSBPDC

PCdoBPDS

PLPDTPFL

PMDBPRN

PSDBPT

2468101214161820222426

0102030405060708090100

1990

PTdoBPCB

PTRBPRONA

PRPPRN

PSTUPSDPSC

PVPMN

PLPCdoB

PPPPSPDTPFL

PMDBPPRPSB

PSDBPT

PTB

2468101214161820222426

0102030405060708090100

1994

PCOPGTPTNPCB

PSDCPSLPSNPRN

PRTBPSTPANPSDPRP

PSTUPTDOB

PSCPMN

PVPPSPSB

PLPRONA

PTBPCDOB

PDTPFL

PMDBPPB

PSDBPT

2468101214161820222426

0102030405060708090100

1998

PCOPRONA

PCBPSTU

PSLPTCPRPPSD

PSDCPAN

PRTBPSTPHSPTNPGT

PTdoBPVPL

PSCPCdoB

PDTPFL

PMDBPMNPPBPPSPSB

PSDBPT

PTB

2468101214161820222426

0102030405060708090100

2002

PRBPCOPCBPRPPSLPAN

PSTUPHSPMN

PRONAPSC

PSOLPTC

PSDCPTdoB

PTNPRTB

PCdoBPDTPFL

PLPMDB

PPPPSPSB

PSDBPT

PTBPV

2468101214161820222426

0102030405060708090100

2006

PCOPCB

PSDCPSTU

PTNPTDOB

PSLPRTB

PTCPRPPHSPPSPRBPSB

PSOLDEMPMNPSC

PCDOBPDT

PMDBPPPR

PSDBPT

PTBPV

2468101214161820222426

0102030405060708090100

2010

PCOPCBPENPSLPPL

PSTUPTNPTC

PTdoBPRTBPSDC

PCdoBPPS

PROSPSDB

PDTPHSPMNPRP

PVDEM

PMDBPPPR

PRBPSBPSCPSD

PSOLPT

PTBSD

2468101214161820222426

0102030405060708090100

2014

Reg

iste

red

part

ies

N. of elec. circumscriptions where candidates to the Lower Chamber were presented

Cummulative % of votes for the Lower Chamber in the whole country

N. o

f ele

c. c

ircum

scrip

tions

whe

re p

artie

s pr

esen

ted

cand

idat

es fo

r th

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wer

Cha

mbe

r an

d fin

al e

lect

oral

sup

port

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argued.

By the other hand, in the current democratic period, there is a trend of temporal

change, with the first election (i.e. 1986) after the transitional election (i.e. 1982)

presenting a pattern that was similar to the one of 1945-1964. It means, with a lowly

nationalized party system in terms of the electoral supply. Few parties in 1986

presented candidates in numerous electoral circumscriptions of Brazil, and these

were exactly the parties with the greatest electoral support. However, election after

election such scenario gradually changed, in a way that all parties gradually started

presenting candidates in more electoral circumscriptions. To the point that in 2002

the far majority of the parties offered candidates in close to all circumscriptions. In

the last elections, in 2014, the system was already strongly nationalized in terms

of the electoral supply. Or, in Cox (1997, 1999) wording, Brazil currently presents

a system with very high cross-district linkage, in which politicians do link to each

other under a same party label all over the country, in order to face elections. As

the cumulative line support shows, even parties with small and medium electoral

support are in such a situation.

In summary, although in 1945-1964 the electoral supply of Brazilian party sys-

tem was actually fairly non-nationalized, since 1982 it displayed a changing pattern

from non-nationalized to very strongly nationalized. This tendency could not be

explained solely by institutional factors like the presence of the PR system that

stimulates small parties to present candidates in different electoral circumscriptions,

since the two democratic periods had the same macro electoral institutions. One

possibility to explain why the system became rapidly supply-nationalized in the cur-

rent period, and didn’t in 1945-1964, may be the recurrence to electoral alliances

between small and big parties. Although such strategy was available and becoming

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42

increasingly common in the earlier democratic period too (Soares, 1964; Schmitt,

1999), it was no way as prevalent as it is in the current regime. In the current period,

in every electoral circumscription, pretty much every party always enters an alliance

with another, in order to offer candidates for the Lower Chamber. Certainly, this

almost universal use of the electoral alliances raises the likelihood of electing at least

one deputy, what makes it interesting for smaller parties to try their luck an offer

candidates in as many electoral circumscriptions as they can14.

1.2.3 Nationalization of the demand

We have seen so far that in the supply side, the Brazilian party system has grown

over time to become highly nationalized. Nevertheless, I now analyze how it has

performed in the demand side. It is to say, how national or regional has been the

appeal of parties to the voters in Brazil. It can be the case that although presenting

candidates all over the country - which, again, is tempting, considering the electoral

system - parties may have specific regional clienteles.

In order to address this dimension, I will assess the territorial inequality of the

shares of votes obtained by each Brazilian party across the country’s electoral cir-

cumscriptions. I will measure that once again resorting to Bochsler’s (2010) PNSsw.

However, now I will apply it to the electoral support (share of total votes) of par-

14Of course, that explanation would ask for another: why parties enact electoral alliances moreoften in the current system than in 1945-1964? Although that is not my central question here, onereasonable guess would be the changes in the role and powers of state governors from one periodto the other. Lavareda (1991), Souza (2005), Schmidt (1999) and others claimed that, for the bigparties, these electoral alliances for the Lower Chamber were of interest in order to bring the smallparties to their alliances in the elections for state governors. If that is true, the more rewarding thegovernor position is, the more frequently the big parties would accept enacting electoral allianceswith the smaller parties for the Lower Chamber, provided that these accept to be on board inthe given state govern elections. Although there are few studies about the institutional powers ofgovernors in Brazil in the first half of the last century, many claim that after the 1988 Constitutiongovernors got either important powers (e.g. Abrucio, 1998; Samuels, 1998) or policy attributions(Arretche, 2007).

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ties across electoral circumscriptions. Which means in the end, the index ranges

from 0, which means extremely unequal distribution of electoral support across the

electoral circumscriptions (or extremely poor nationalization of the demand), to 1,

which means perfectly equal distribution of electoral support across electoral cir-

cumscriptions (or perfect nationalization of the demand).

Figure 1.5 has the results for all Brazilian parties in all of the country’s demo-

cratic elections. Indeed, as expected, in 1945-1964 the overall degree of nationaliza-

tion of the electoral demand was quite low, following the also low nationalization of

the supply we saw previously. Very few parties had more than medium-level scores,

which were the biggest parties. The overall picture was of low nationalization of

the demand, and in fact it seems Lima Jr. was incorrect in his interpretation that

the regional parties were nationalizing over time. On the other hand, since the

80s the picture is more nuanced, with more mixed results. The country has had

some parties with better nationalization of their demand, but most have what we

could temporarily call medium or low levels of nationalization of their electoral de-

mand. More interestingly, this is a scenario that happens in spite of the very high

nationalization of the electoral supply.

Actually, the electoral demand in Brazil has been much less nationalized when

compared to the previous dimensions. Surely, it is possible to notice the parties with

medium and low nationalization have seen an increase over time in the homogeneity

of their electoral support, especially from 1990 to 1994. Still, it is worth noting that

few parties scored higher degrees of nationalization even in the most recent elections.

Similar to previous dimensions, it can be said that in general lines the parties with

higher nationalization of the electoral demand are the bigger parties, the ones that

end up having the greatest electoral support. However, this pattern is less clear

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44

Fig

ure

1.5:

Nat

ional

izat

ion

ofth

edem

and:

elec

.su

pp

ort

hom

ogen

eity

acro

ssel

ec.

circ

um

scri

pti

ons

(mea

sure

dw

ith

Boch

sler

’s(2

010)

PN

Ssw

PL

PR

PRD

PPS

PRProg.

PDC

PAN

PRP

PTB

PCB

UDN

PSD0.1.2.3.4.5.6.7.8.91

1945

PRB

POT

PL

PST

PRP

PRT

PDC

PSB

PTN

PSP

PR

PTB

UDN

PSD

0.1.2.3.4.5.6.7.8.9119

50

PRT

PRP

PTN

PST

PL

PSB

PDC

PR

PSP

UDN

PTB

PSD

0.1.2.3.4.5.6.7.8.9119

54

PL

PTN

PST

PRT

PRP

PSB

PR

PDC

PSP

PTB

UDN

PSD

0.1.2.3.4.5.6.7.8.9119

58

PL

PRT

PTN

MTR

PSB

PRP

PST

PSP

PR

PDC

PTB

UDN

PSD

0.1.2.3.4.5.6.7.8.9119

62PDT

PTB

PT

PDS

PMDB

0.1.2.3.4.5.6.7.8.9119

82

PJPMNPRPPDI

PASARTPNRPRTPTNPTR

PSPN

PCNPNDPDCPPBPMC

PLPH

PSBPTB

PCdoBPSCPMBPDTPCBPDSPFL

PTPMDB

0.1.2.3.4.5.6.7.8.9119

86

PBMPEB

PSPASPRSPAPPSUPNT

PRONAPSCPLHPSDPSLPSBPSTPCN

PDPMNPTRPRPPCBPDC

PTdoBPDTPFL

PCdoBPDS

PSDBPTB

PLPRN

PTPMDB

0.1.2.3.4.5.6.7.8.9119

90

PTdoBPCB

PTRBPMNPSCPSB

PVPRPPPSPRN

PRONAPSD

PPPFL

PCdoBPL

PDTPPR

PSTUPTB

PSDBPT

PMDB

0.1.2.3.4.5.6.7.8.9119

94

PSLPTdoB

PCOPGTPSDPSTPMNPTNPSC

PSDCPRPPANPSBPSN

PSTUPLPV

PRTBPPS

PRONAPCdoB

PRNPCBPDTPTB

PMDBPFLPPB

PTPSDB

0.1.2.3.4.5.6.7.8.9119

98

PRONAPTdoBPSDC

PSLPSDPSCPST

PRTBPAN

PMNPCBPGT

PCdoBPTC

PVPSBPRPPCOPHSPTNPTBPFLPDTPPS

PLPPB

PSTUPMDBPSDB

PT

0.1.2.3.4.5.6.7.8.9120

02

PRBPMNPAN

PTdoBPRTB

PTNPTC

PRONAPCB

PSOLPSDC

PHSPSCPPSPCOPRP

PVPCdoB

PSLPSB

PSTUPFLPTB

PMDBPLPP

PSDBPDT

PT

0.1.2.3.4.5.6.7.8.9120

06

PCOPCB

PTdoBPRTB

PSLPSDCPMN

PSOLPTCPTNPHSPRP

PVPSCPSB

PCdoBPPS

PSTUPMDB

PRBPTB

PRDEMPDT

PSDBPPPT

0.1.2.3.4.5.6.7.8.9120

10

PRTBPTdoB

PCOPROS

PMNPSDC

PENPSLPTNPRP

PSOLPCBPTC

PVPSCPHSPPLPPSPRB

PCdoBPSB

PSTUDEMPDT

PPPSDB

PTBPSD

PMDBPRSDPT

0.1.2.3.4.5.6.7.8.9120

14

0%2

58

1012

1518

2022

25%

Lege

nd:

coun

tryw

ide

elec

.sup

port

Reg

iste

red

part

ies

Standardized/Weighted cross−circumscriptions homogeneity of the electoral support

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than it was in the previous dimensions. Actually, in some years parties with not so

high nationalization won some of the greatest shares of electoral support (notice for

instance the case of PFL, the Liberal Front Party). Even more importantly, in recent

elections, especially the last one in 2014, the electoral preponderance of parties with

more nationalized demand diminished. Still, most of the Brazilian parties seem to

have at least what we could call medium level nationalization, not getting closer to

zero.

Notwithstanding, it might seem too abstract to judge the nationalization of

electoral demand in Brazil as being high or low without a comparative benchmark.

This is especially important when we talk about results achieved trough a secondary

index. For instance, thinking of the nationalization of the electoral supply, imagine

a party which offers candidates in 50% of the electoral circumscriptions of a given

country. Probably, it would not be too off the target to interpret, just with the

given information, that such a party had a not high nationalization of the electoral

supply. However, when we move to the measures of the nationalization the demand,

the meaning of each level of the index is not so straight-forward. In Brazil, most

parties score above 0.5 in the recent elections. But how low or how high is 0.5? I

claim it is actually quite low. It is very unlikely that a party would score extremely

low levels of nationalization of the demand, no matter what. In order to show the

Brazilian situation in perspective, I will also present a summary measure per party

system and compare it to the ones from other countries. The procedure is intuitive.

Recapitulating: for the last figure, I calculated for each party the Bochsler’s (2010)

standardized version of the weighted regional Gini, applied to the share of votes of

parties across electoral circumscriptions. Now, for each election, I get the results

of all parties and calculate a weighted average, i.e. weighting for the final size of

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46

national votes share of parties. Bochsler calls it the party system nationalization

score, or PSNSsw.

To permit international comparison, I calculate the same for many other country-

elections since 1945. I use my own data with electoral results of countries at the

electoral circumscription level, as well as similar data from the Constituency Level

Electoral Archive - CLEA project (Kollman et al, 2014). In the end, it totals more

than 700 elections, in 82 countries. Figure 1.6 brings the results, where each dot

represents the PSNSsw of a party-system of a country-tier in a given election. The

Brazilian party systems are colored in red to ease visualization.

Figure 1.6: Party system nationalization of demand among countries

●● ●

● ●

●●

● ●● ● ● ● ●

1945

1947

1949

1951

1953

1955

1957

1959

1961

1963

1965

1967

1969

1971

1973

1975

1977

1979

1981

1983

1985

1987

1989

1991

1993

1995

1997

1999

2001

2003

2005

2007

2009

2011

2013

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

● ●Brazil Others

Year

Nat

. of e

lec.

dem

and

at p

ty s

yste

m le

vel

In fact, when compared to other countries, the Brazilian party systems have

always been amidst the less nationalized in terms of electoral demand. Although the

dots corresponding to Brazil may be in the middle of the dot cloud, it is important

to keep in mind that it is a scatter-plot with color-density layer, which means the

darker the gray-to-black dots are, the more cases are concentrated in the region

of the plot. So, in reality, the great mass of democratic elections for which data

at the electoral circumscription level were available, stay quite above the Brazilian

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47

elections. That means, in comparative perspective the Brazilian party systems have

been quite lowly nationalized in terms of electoral support of the parties. And in

both democratic periods

1.2.4 Nationalization of the outcomes

Of course, as mentioned at the beginning, even with the possible dis-proportionality

between votes and seats, it is unlikely that an election with medium-to-low level of

nationalization of the electoral demand would end up presenting nationalized dis-

tribution of seats, i.e. nationalized outcomes. On the contrary, it is more likely that

the seats will end up distributed similarly or less evenly than the electoral demand

is. In order to see what has been happening with the Lower Chamber seats in Brazil,

Figure 1.7 shows in how many electoral circumscriptions (states plus capital) the

elected parties were able to win seats, since 1945. Notice that the graphic also

brings a cumulative line to see how many of the total seats were won by parties

with given levels of nationalization of the outcomes. Also, the colors in the figure

show the results of a simulation for which data were available only for the 1994-2014

period. The red shades show the parties that would loose seats in case the official

distribution of seats disregarded the electoral alliances (the darker the red, the more

seats lost) while blue means the party would actually win more seats (the darker,

the more).

The result here is fairly clear. The electoral outcomes in Brazil are not nation-

alized. Almost no party was able to win seats in all the electoral circumscriptions.

On the contrary, the norm has been that only one or two parties, among the dozens

that win seats, are able to get at least close to winning in the whole country. In

2014, for instance, the cumulative line shows that around 70% of the seats were won

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48

Fig

ure

1.7:

Nat

ional

izat

ion

ofth

eou

tcom

es:

num

ber

ofel

ec.c

ircu

msc

ripti

ons

wher

epar

ties

won

seat

s

PL

PDC

PRProg.

PPS

PR

PCB

PTB

UDN

PSD13579111315171921

1945

0.1.2.3.4.5.6.7.8.91

PRT

PSB

PTN

PDC

PRP*

PST

PL

PR

PSP

PTB

UDN

PSD

13579111315171921232519

50

0.1.2.3.4.5.6.7.8.91

PRT

PDC

PRP

PTN

PSB

PL

PR

PSP

PTB

UDN

PSD

13579111315171921232519

54

0.1.2.3.4.5.6.7.8.91

PTN

PRT

PST

PL

PRP*

PDC

PSB

PR

PSP

PTB

UDN

PSD

13579111315171921232519

58

0.1.2.3.4.5.6.7.8.91

PRT

MTR

PR

PL

PRP

PSB

PST

PTN

PDC

PSP

UDN

PTB

PSD

135791113151719212325

1962

0.1.2.3.4.5.6.7.8.91PTB

PDT

PT

PMDB

PDS

13579111315171921232519

82

0.1.2.3.4.5.6.7.8.91PSB

PSC

PCdoB

PL

PCB

PDC

PT

PTB

PDT

PDS

PMDB

PFL

135791113151719212325

1986

0.1.2.3.4.5.6.7.8.91

PMNPSDPSTPRSPTRPCBPSC

PCdoBPSB

PLPDC

PTPTB

PSDBPDTPRNPDS

PMDBPFL

1357911131517192123252719

90

0.1.2.3.4.5.6.7.8.91

PRNPRP

PVPPSPSDPSCPMN

PLPSB

PCdoBPTBPDT

PTPP

PSDBPPRPFL

PMDB

1357911131517192123252719

94

0.1.2.3.4.5.6.7.8.91

PRONAPSLPST

PVPMNPSCPPSPSD

PCdoBPL

PSBPDTPTB

PTPPB

PSDBPFL

PMDB

1357911131517192123252719

98

0.1.2.3.4.5.6.7.8.91

PMNPSC

PSDCPSL

PRONAPSTPSD

PVPSB

PCdoBPPSPDTPTB

PLPSDB

PPBPT

PMDBPFL

1357911131517192123252720

02

0.1.2.3.4.5.6.7.8.91

PANPRB

PTdoBPHS

PRONAPMN

PSOLPTC

PVPSC

PCdoBPTB

PLPDTPPSPSB

PPPSDB

PFLPT

PMDB

1357911131517192123252720

06

0.1.2.3.4.5.6.7.8.91

PSLPTCPHSPRP

PRTBPSOL

PTdoBPMNPRBPPS

PVPCdoB

PSCPTBPDTPSB

PRPP

DEMPSDB

PTPMDB

1357911131517192123252720

10

0.1.2.3.4.5.6.7.8.91

PRTBPSL

PTdoBPEN

PSDCPTCPMNPRP

PSOLPTNPHS

PVPPS

PROSPSC

PCdoBPRB

SDDEMPDTPTBPSBPSD

PRPPPT

PSDBPMDB

1357911131517192123252720

14

0.1.2.3.4.5.6.7.8.91

−100%

−80

−60

−40

−20

0

+20

+40

+60

+80

+100%

Lege

nd:

seat

s lo

st/g

aine

d if

disr

egar

ding

alli

ance

s

− N

o in

fo.

Par

ties

that

won

at l

east

one

sea

t

N. of elec. circumscriptions where deputies were elected (min=1)

Line of cumulative share of seats in the Lower Chamber

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49

by parties which were able to get candidates elected in less than two-thirds of the

country’s electoral circumscription. Almost half of the seats were elected by parties

that only won seats in less than half of the territory. It is possible to see, as well,

that the party system has seen little to no change over time, since the beginning

of the democratic periods. Also, the situation seems to have been pretty similar

between both periods.

Lastly, from 1994 to 2014, it is also possible to see that, generally, the parties

with worst nationalization of the outcomes were precisely the ones who have been

profiting with the possibility of establishing electoral alliances. They are the ones

who would loose seats if the distribution of seats disregarded these alliances. While

the parties with higher levels of nationalization of the outcomes have been generally

in the opposite position, it is, they would profit the most if electoral alliances were

disregard when TSE calculates the distribution of seats. This result is in line with

claims made by the Brazilian literature, that electoral alliances might have been

helping the small parties at expense of the big ones, in what regards the elections for

the Lower Chamber (Nicolau, 1996; Schmitt, 1999). In fact, it seems these alliances

have been helping also to de-nationalize the electoral outcomes, it is, to strengthen

the potential of regionalized parties to win seats, while harming the potential of

better nationalized countries to end up with a nationalized outcome.

1.2.5 Overall scenario

The Brazilian case shows vividly how important it is to split the concept of

nationalization into its different dimensions, as well as how important are the geo-

graphical units one wants to take into consideration. On the one hand, the system

is both almost perfectly nationalized in terms of party presence/organization if the

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electoral circumscriptions are the parameter, and also has become over the years

almost perfectly nationalized in terms of electoral supply/cross-district linkage. On

the other hand, the electoral demand is much less nationalized, being actually among

the lowest nationalized in the democratic World, with the electoral outcome present-

ing even lesser degrees of nationalization. In summary, the Brazilian system has been

presenting an interesting discrepancy between the high nationalization of what po-

litical elites have to offer and do offer, and the low capacity of these elites to appeal

homogeneously to the electorates over the country.

1.3 Nationalization and fragmentation of party

systems in Brazil

The importance of studying the nationalization of parties and party systems can

be of multiple orders. One of the most relevant suggestions at the theoretical level,

and which has stayed mostly untested empirically, is Cox’s (1997) claim that the

cross-district linkage (or roughly what I’ve called nationalization of the supply) is

what makes the Duvergerian propositions move from the local to the national level.

For him, “if all candidates find it necessary to join a party that runs candidates in all

districts, then local bipartism will indeed turn into national bipartism” (1997:201).

While he only mentioned the first of the two Duverger’s propositions, i.e. the one

about the plurality vote, that reasoning should logically fits the other as well. In

fact, although less formally, he extends the idea to other system in a later work (Cox,

1999). It means that, generalizing it for other electoral systems, in Cox’s terms the

lack of cross-district linkage would tend to increase the national-level party system

fragmentation. The reason is that even in systems like proportional representation,

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if parties that offer candidates were not the same in every electoral circumscription,

the final national party system would become even more fragmented than the average

(or median) fragmentation found within electoral circumscriptions.

That’s a particularly important issue for the Brazilian case. Beyond the debate

on nationalization, the fragmentation of party systems in the Legislative branch

has been one of the up-most concerns both for the Brazilian political literature

(e.g. Goes, 1992; Kinzo, 1989, 1993, 1997; Lamounier, 1992, 1994; Lima Jr.,1999;

Nicolau, 1996; Nicolau and Schmitt, 1995) and also for the international literature

on Brazil (e.g. Ames, 1995; Geddes and Ribeiro Neto, 1992; Mainwaring, 1991,

1993a, 1993b, 1999; Mainwaring and Scully, 1995; Sartori, 1994). Already in 1872,

Belisario de Souza, one of the earliest Brazilian scholars on electoral systems, feared

the adoption of proportional representation by the Brazilian Monarchy with an eye

in the consequences to the legislative party system fragmentation: “In a country

carved up by several parties or factions, that system would raise grave difficulties

(...) How to form legislative majority? No party would have a majority capable of

governing. Even if not coming to that extreme point, the legislative majorities could

be so minute that any government would be always in crisis, at the mercy of the

whims of its members and of the coalitions of these with the oppositionist groups”

(1979:133-134)15.

Such attention is not undue. Figure 1.8(a) brings the effective number of leg-

islative parties in every democratic election of 153 countries since 1945. The data

mixes my own data with Golder’s (2005) data, covering now more than one thou-

15In the original: “Num paıs retalhado por varios partidos ou faccoes este sistema traria gravesdificuldades (...) Qual o meio de obter maioria parlamentar? Nenhum partido reuniria maioriacapaz de governar. Nao chegando mesmo a este ponto extremo, as maiorias parlamentares poderiamser tao diminutas, que qualquer governo estaria sempre em crise, a merce dos despeitos dos seuscorreligionarios e das coligacoes destes com os grupos oposicionistas”.

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Figure 1.8: Effective num. of parties at the Lower Chamber - Brazil vs. World andwithin Brazil

●●● ●●

●● ●●

●● ●

1945

1948

1951

1954

1957

1960

1963

1966

1969

1972

1975

1978

1981

1984

1987

1990

1993

1996

1999

2002

2005

2008

2011

2014

1

3

5

7

9

11

13● ●Brazil Others

(a) International comparison:num. parties in Brazil vs. other countries

1945

1950

1954

1958

1962

1982

1986

1990

1994

1998

2002

2006

2010

2014

1

3

5

7

9

11

13

(b) Within Brazil: num. of parties in eachelec. circumsc. (boxplots) vs. whole country (line)

Year

Effe

ctiv

e nu

m. o

f leg

isla

tive

part

ies

at th

e Lo

wer

Cha

mbe

r

sand and three hundred elections. The plot shows Brazil has not only been having

the most fragmented Lower Chamber in the World, but such fragmentation is also

on the raise. Of course, the usual reasons called to explain such scenario have

to do with electoral system characteristics, like the PR system, the high median

electoral magnitudes of the electoral circumscriptions, the possibility of electoral al-

liances per circumscription, among others. However, Samuels (1998) has suggested

that the regional characteristic of the Brazilian parties would have been contribut-

ing too, which was endorsed by Cox (1999) and also pointed somehow by Nicolau

(1996), when commenting on the effect caused by the “federative characteristic” of

the Brazilian party systems.

Figure 1.8(b) brings the effective number of legislative parties for the Lower

Chamber within Brazil, i.e. in each of the electoral circumscriptions (represented by

boxplots) as well as a line with the overall number of parties in the country. There

are important differences between the two democratic periods. Firstly, during 1945-

1964 there was a scenario of much less fragmentation (contrary to what literature

diagnosed; see Britto, 1965; Santos, 1979; Lamounier, 1982; Lavareda, 1991) than

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in the current period. Secondly, it is possible to see the party system fragmentation

has been raising steeply since the 80s. In the third place, there has been a great

difference between the overall number of parties in the country and the number of

parties for the Lower Chamber within electoral circumscriptions. Samuel’s argument

(1998) later followed by Cox (1999) was precisely based on that characteristic. The

idea is when the number of parties for the Lower Chamber in the whole country is

much greater than the average (or median) number of parties for the Lower Chamber

within electoral circumscriptions, it could be only a result of each circumscription

having dissimilar party systems. In other words, we could say that in my plot, it

means the distance between the black line and the median mark of the boxplots

would represent the final effect of some low nationalization on the party system

fragmentation. Hence, that figure alone is an evidence that in fact nationalization

has been of great importance to understand the party system fragmentation in

Brazil.

Still, for the sake of precision, the problem with these lines of reasoning is al-

though they make sense, they are often not theoretically specified and they have

never been tested in a more formal, rigorous fashion. I mention that they are of-

ten not specified in a theoretical level because it is usually not clear what authors

define by regionalized, nationalized of federative characteristic. Cox is an excep-

tion, but the question is: if it is a fact that the low nationalization affects party

system fragmentation in Brazil, it cannot be the dimension of nationalization that

Cox was more talking about. As we have seen previously, Cox was mostly talking

about politicians taking part in parties that would offer candidates all over a coun-

try. However, Brazil is a country with almost perfect nationalization of the electoral

supply. Almost all parties offer candidates for the Lower Chamber in all electoral

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54

circumscriptions. Therefore, if there is a dimension of nationalization affecting frag-

mentation in Brazil, it has to be another one, namely the low nationalization of

electoral demand or of the electoral outcomes. Consequently, it would mean that

Cox’s proposition would need to be slightly reviewed. It is, if there is evidence that

some other dimension of nationalization affects party system fragmentation even

when cross-district linkage is perfect, we will then have a great example of major

theory in the literature that must be revised in light of a better detailing of the

concept of nationalization.

Additionally, when I mention that these blur relationships between nationaliza-

tion and fragmentation still lack a more formal test in the literature, I mean the

following. Looking at the difference between country-wide number of parties and

average/median number of parties within circumscription is a nice way of starting,

but cannot be the finish point. For one thing, a country can have the local party

systems distributed across the territory in infinite ways. Take my previous plot as

a reference. In case of perfect nationalization, who knows if the country-wide line

would approximate the median of the boxplot or some other point depending on

the magnitudes of the circumscriptions? In order to properly test the impact of

nationalization on party system fragmentation in Brazil, first of all I specify my

concept. Since nationalization in Brazil is very high in terms of party organization

and of electoral demand, I will focus on the other two dimensions of nationalization

that we have seen are not high in Brazil. Of course, to formally test whether such

lack of nationalization has an impact on the national party system fragmentation,

I cannot resort to historical data since Brazil had only 14 democratic elections for

the Lower Chamber during the country’s history. The solution I propose here is to

simulate how fragmented the Brazilian party system would be in terms of electoral

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55

outcome in the hypothetical case of perfect nationalization of the electoral demand.

Fortunately, for the five elections from 1998 to 2014, the TSE provides the electoral

results for the Lower Chamber disaggregated at the level of the more than 450 thou-

sand polling sites16. I took these and programmed a script that does the following.

First, it picks one of these polling sites at random. Then, it extrapolates the rela-

tive electoral results of the picked polling site to all the others in the country. Next,

it calculates the electoral outcomes of each electoral circumscriptions, taking into

consideration the real observed parties and electoral alliances per circumscription.

Finally, it calculates the final overall effective number of legislative parties at the

Lower Chamber for that iteration. I repeat the procedure for around 20% of the

voting sites in each of the five elections.

The result, with the probability distribution of the simulated effective number of

legislative parties, can be found in Figure 1.9. Basically, what the density plots show

is how likely it would be for the effective number of legislative parties to decrease

in case of perfect nationalization of the electoral demand. The fairly biggest parts

of the distributions are to the left of the lines that mark the observed number of

parties. That makes it possible to conclude that in fact there would be a very high

probability the fragmentation would decrease in case of perfect nationalization of the

demand. In all of the five elections, actually, there is more than 83% probability that

the effective number of parties would diminish. The simulation also offers additional

information. It is possible to search for where is the peak of each distribution and

therefore to assess more or less what would be the most likely magnitude of change

in the number of parties. In general, it seems that it would be possible to expect

16I also tried the same approach, but just simulating across the 26 Brazilian states plus capitaldistrict, which are the electoral constituencies of the country. The results found support my claimeven more strongly. But due to the small N and to my attempt to be conservative, which meansto play against my hypothesis as much as possible, I sticked with the approach per polling sites.

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Figure 1.9: Effec. num. of legislative parties at the Lower Chamber, according tosimulated perfect nationalization of the electoral demand

x=7.1

Pr=.83

2 4 6 8 10 12 14

(−72

%)

(−44

%)

(−16

%)

(+13

%)

(+41

%)

(+69

%)

(+97

%)

0.00

0.05

0.10

0.15

0.20

0.251998

x=8.5

Pr=.92

2 4 6 8 10 12 14 16

(−76

%)

(−53

%)

(−29

%)

(−6%

)

(+18

%)

(+41

%)

(+65

%)

(+88

%)

0.00

0.05

0.10

0.15

0.20

2002

x=9.3

Pr=.87

2 4 6 8 10 12 14

(−78

%)

(−57

%)

(−35

%)

(−14

%)

(+8%

)

(+29

%)

(+51

%)

0.00

0.05

0.10

0.15

0.20

2006

x=10.3

Pr=.83

2 4 6 8 10 12 14 16

(−81

%)

(−61

%)

(−42

%)

(−22

%)

(−3%

)

(+17

%)

(+36

%)

(+56

%)

0.00

0.05

0.10

0.15

0.20

2010

x=13.2

Pr=.85

2 4 6 8 12 16 20

(−85

%)

(−70

%)

(−55

%)

(−39

%)

(−24

%)

(−9%

)

(+6%

)

(+21

%)

(+36

%)

(+51

%)

0.00

0.05

0.10

0.15

2014

●simulatedobserved

Effective num. of legislative parties at the Lower Chamber(simulated % lost/gained)

dens

ity

a decrease in the number of parties in the Lower Chamber of the following order:

around -46% to -15% in 1998, around -30% in 2002, around -25% in 2006, around

-20% in 2010 and -15% in 2014.

These are, in most cases, fairly great decreases if one considers that effective

number of legislative parties are usually small quantities. Most countries in the

World, as we could see, have less than 5, in general around 3 effective parties at

their Lower Chambers. Therefore, a decrease of, say, 2 effective parties (which is

the number of parties in the US, for instance) in case of perfect nationalization

of the demand, is a result of substantive importance. As expected, these findings

regarding the Brazilian case exemplify the usefulness of better defining what one

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understands nationalization and, especially, of splitting the concept into its further

dimensions. The application of Cox’s (1997, 1999) proposition would not directly

work in Brazil, which is a country with almost perfect nationalization of the electoral

supply, i.e. where parties are national in the sense that they offer candidates in

pretty much every electoral circumscription. Contrary to how Cox restates the

Duvergerian proposition, the cross-district linkage, if understood as the offer of

candidates throughout a territory, is not a sufficient condition for the party system

fragmentation within circumscriptions to become mirrored at the national level. It

is necessary to also look at the nationalization of the electoral demand and/or of the

electoral outcomes (depending on whether one is interested in the effective number

of electoral or legislative parties). Once we look at these dimensions, then Brazil

becomes a good example of low nationalization affecting party system fragmentation.

But at the same time, the result suggests that the impact of low nationalization

of demand or outcomes on the party system fragmentation in Brazil is diminishing

over time in relative terms. It is, the levels of nationalization are roughly the same

across these five elections and have an important impact upon the fragmentation,

but at a first glance it seems that such impact is decreasing rapidly. How can the

medium to low level of nationalization of the demand stay the same but its impact

diminish across elections? The reason is that the other factors affecting fragmenta-

tion have grown in importance. Mostly, this is a result that matches with what we

had just seen about the party system fragmentation within Brazil. The country has

been facing a considerable increase in the party system fragmentation for the Lower

Chamber within electoral circumscriptions. Therefore, despite nationalization re-

maining roughly constant, it is only natural that 1) the overall fragmentation would

increase if the within-circumscription fragmentation increases and 2) the relative

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importance of nationalization for that fragmentation would decrease in face of the

increased relative importance of the within circumscription fragmentation.

1.4 Conclusion

In this chapter, it was my intent to achieve three aims. Firstly, to present a better

theoretical framework from which we could understand party system nationalization,

by further detailing what one means when talking about nationalization. Second, I

wanted to offer an example application for such conceptual detailing, by using the

case of the Brazilian party system. I hope I was able to show, trough the Brazilian

example, the importance of splitting the concept of nationalization. When we do

that, the political party systems of Brazil across the years have shown considerable

differences both over time and across different dimensions of party nationalization.

In 1945-64, the party system of the country was low nationalized in terms of electoral

supply, of electoral demand and of electoral outcomes (we do not have data on party

organization for any year of that period). But since the re-democratization in the

80s, the new party system has faced important changes.

Firstly, in the recent years for which data are available, the political parties

became almost perfectly nationalized in terms of organization if we consider the

electoral circumscriptions for the Lower Chamber (states plus capital), but are still

very badly nationalized if we go down in geographical unit disaggregation and take

a look at the number of cities where parties are present. Still, over time almost

all parties became perfectly nationalized in terms of electoral offer for the Lower

Chamber. Which means, they grew to offer candidates in every electoral circum-

scriptions, achieving the strongest cross-district linkage possible between politicians

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across the country. However, although offering candidates wherever possible, the

parties have been unable to appeal to the electorate in a homogeneous fashion. For

the majority of the parties, the electoral demand in Brazil is not highly national-

ized, although for some of the biggest parties it is more nationalized. In the end,

the winner parties for the Lower Chamber are generally unable to win seats in all

electoral circumscriptions. On the contrary, the far majority of the seats belong to

parties that won seats in few parts of Brazil.

Therefore, the current Brazilian party system presents different scenarios de-

pending on which type of nationalization one takes into account. More than that,

depending on the concept of nationalization on choses, even the possible conse-

quences of party nationalization may change. As an example, I have shown that if

one extends to Brazil Cox’s (1997, 1999) proposition about the relationship between

cross-district linkage and party fragmentation, it would not work properly. While

Cox claimed that the offer of candidates was crucial to make Duvergerian proposi-

tions move from the local to the national level of countries, I show that in fact the

offer of candidates is not enough in the Brazilian case. It is necessary to take into

account the correct dimension of nationalization, which is the one of the electoral

demand, for Cox’s proposition to work. Hopefully, my propositions of better de-

tailing the concept of party nationalization will prove useful to help scholars in the

future. Particularly, in finding other applications for which results can be sensible

to the definition of what means to be nationalized.

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1.5 Annexes

Annex 1.A – Formula of Bochsler’s index of Party and Party system

nationalization

Jones and Mainwaring (2003) were the first to proposed the use of the (inverse of)

Gini index of inequality to assess the degree to which a given party has equal/similar

electoral support across geographical units within a country. They claimed that “In

addition to being widely known and used, the Gini coefficient is technically superior

to most existing alternatives” (2003:142). However, the unweighted Gini coefficient

as they have proposed is expected to present more technical issues than previous

measures present in the literature, for at least two reasons. The plain Gini index is

at the same time sensitive to the number of geographical units being considered and

also does not account for discrepant population sizes among those units. Morgerstern

and Swindle (2009) warn that the first issue is especially problematic to the analyses

across countries, while the second affects specially the analyses within countries.

But not weighting each geographical unit by their population size also affects

cross-country comparison as it can greatly change the final nationalization score of

parties and of party systems. It is easy to understand the impact of not weighting

for different sizes of geographical areas. Geographical units with very few voters

should not penalize the final nationalization score in the case a given party had

abnormally few votes in there, as much as units with heavy proportion of voters

should penalize the score in case the same thing happened there.

Fortunatelly, Bochsler (2010) proposed solutions for both issues pointed above.

The insensitivity to different sizes of geographical units is solved by a weighted ver-

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sion of the spatial Gini. While the sensitivity to the number of units is dealt with by

a post-calculation reweighting function. The weighted Gini calculated by Bochsler,

which he calls weighted party nationalization score (PNSw), has the following for-

mula:

PNSw = 1−Giweighted = 2 ∗∑D

i (popi ∗ (∑i

j ptyj − ptyi/2))∑Di popi ∗

∑Di ptyi

(1.1)

Where D is the total number of territorial units in the given country, ordered

according to the increasing vote share of the party pty being evaluated. Then, popi

is the voters population in district i and ptyi and ptyj are the votes of pty in districts

i and j, respectively. The resulting PNSw is, therefore, an inversed weighted Gini

index calculation to ensure that if a party has similar vote shares in all districts, the

index approaches 1. While in case it has very dissimilar vote shares across districts,

each district will lower the final score according to its share of the national voters.

After that, Bochsler’s proceeds to a final standardization for the countries’ num-

ber of districts. It s is what he calls weighted and standardized party nationaliza-

tion score (PNSsw), achieved by raising the former PNSw to the power of a given

weighting function (let’s call it S), which is proposed to be as follows:

PNSsw = (PNSw)S (1.2)

S =1

log10(E)(1.3)

E =1∑D

i (popi/popnat)2(1.4)

Where E is the effective number of territorial units in the given country, analo-

gous to the usual Laakso and Taagepera (1979) effective number of parties. Accord-

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ing to Bochsler, this is used instead of the plain number of districts in the country

“since the units were weighted by their size (number of voters) for the calculation of

the Gini coefficient, they should be weighted as well for the standardisation in this

step” (2010:164). Therefore, the standardization follows an inversely proportional

base-10 log function of the effective number of districts. The standardization via

log function has the desirable effect of assuming “an increasing heterogeneity of the

vote as the number of districts rises, but with a decreasing marginal effect of the

number of districts. For example, splitting a single district into two should almost

always have a greater effect on decreasing static nationalization than moving from

fifty to fifty-one districts (or even fifty to sixty)” (Morgenstern et. al., 2014:4).

Lastly, the party system version of PNSsw, which is called PSNSsw, is just the

weighted mean of the PNSsw of each party in the given party system, with the

weights being the share of nation votes received by each party.

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Annex 1.B – Parties’ organization: % of municipalities where parties

have presented candidates for the municipal Executive or Legislative

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Chapter 2

Party system nationalization and the

national effective number of elec-

toral parties

It is surprising that party system nationalization has never been directly included

in the empirical models of party system fragmentation, beyond sparse side-related

efforts (e.g. Chhibber and Kollman, 1998, 2004; Cox, 1997, 1999). Certainly, schol-

ars have been offering increasingly elaborate treatments of the other covariates of

number parties. From the original sociological factors (Duverger, 1954; Grumm,

1958; Lipson, 1959; Lipset e Rokkan, 1969; Rose e Urwin, 1970; Campbell, 1989)

and from the dominant electoral institutions (Duverger, 1954; Rae, 1971; Sartori,

1976; Riker, 1982; Taagepera e Shugart, 1989, 1993; Lijphart, 1984, 1990), to the re-

cently modeled interaction between both (Amorim Neto and Cox, 1997; Coppedge,

1997; Jones, 1994; Ordeshook and Shvetsova, 1994; Taagepera, 1999; Penas, 2004;

Clark and Golder, 2006; Stoll, 2008). However, since we operationalize these co-

variates at the national aggregate level, missing what puts the electoral districts

together - to use Cox’s (1997) words – might be a problem.

The importance of what connects the results of each national electoral district

comes from the recognition that the national party system of a given country in a

given election is, in fact, a junction of the many (possibly dissimilar) party systems

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that arise from each electoral district. Hence, the number of parties that are effec-

tively important (Laakso and Taagepera, 1979) in a country is, ceteris paribus, a

function of how homogeneous from one district to the other, i.e. nationalized, are

the electoral supplies offered by the parties, like Cox (1997) has claimed, but more

importantly the electoral demands represented by voters’ choices. Still, although

some role of party system nationalization in the causation of the effective number

of parties is sometimes acknowledged in a theoretical perspective (e.g. Cox’s cross-

district linkage), it has not been dealt with empirically. As I intend to demonstrate,

the risk of not including more specifically a measure for the degree of the nationaliza-

tion of the electoral demand in the empirical models of party system fragmentation

is to incur in omitted variable bias. A bias that makes many of the established find-

ings in the literature to become dubious. Nevertheless, I will propose that scholars

might have had their reasons for avoiding such proper specification of the models of

party system fragmentation. Mostly, they have been probably afraid of two types

of endogeneity that can reasonably exist between party system nationalization and

the number of national parties - the measurement endogeneity and the simultaneity

(reciprocal causality) endogeneity.

I will try to address both problems. Firstly, I will resort to the literature on

party system nationalization for an external Gini based measure (Bochsler, 2010)

that escapes the measurement endogeneity peril. As for the reciprocal causality

endogeneity, I follow the claim that the better way we can deal with such a menace in

the context of observational data is to model explicitly the reciprocity (c.f. Antonakis

et. al. 2010). By doing so, I will be able to include party system nationalization

as an explanatory variable in an empirical model of number of parties for the first

time. This will show that, first, in fact nationalization of the electoral support has

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crucial role on the fragmentation of party systems. Second, by curing the traditional

omitted variable bias, the effects of some variables on the national number of parties

are changed. Namely, the famous effect of social diversity upon the party system

fragmentation changes from the usual direct effect pointed by literature to an indirect

effect only, which is mediated by the party system nationalization. In all the analysis

I will employ a new data on 62 countries with democratic electoral results since 1945

disaggregated at the electoral district level.

2.1 The omitted party system nationalization

At present, it seems firmly established that Duverger’s (1954) propositions, as

well as their consolidation by Cox (1997) in the M + 1 rule, operate at the electoral

constituency level only (cf. Leys, 1959; Wildavsky, 1959; Cox, 1997)1. It means that

it is within electoral districts2 that the number of seats at contest and the electoral

rules at play can restrict or permit the fragmentation of partisan choices made by

voters. These district-level electoral institutions would impose an upper limit to the

fragmentation of political choices that are demanded by - or at least related to - the

socio-political cleavages of these districts (Ordeshook and Shvetsova, 1994; Amorim

Neto and Cox, 1997; Coppedge 1997; Cox 1997; Penas, 2004; Jones 1994, 1997;

Taagepera, 1999; Clark and Golder, 2006; Geys, 2006).

However, because these effects all happen at the district level, each district of

a country might end up having different degrees of electoral choice fragmentation

1Although such acknowledgment took much longer to become common matter in the discipline,it is worth recalling that Duverger had established at the very beginning that “simple-majoritysingle-ballot system (...) tends to the creation of a two-party system inside the individual con-stituency; but the parties opposed may be different in different areas of the country” (1954:223).

2The terms electoral constituency, or even better electoral circumscription like I have used inthe previous chapter, are certainly more accurate than the widely used electoral districts. However,for consistency with the literature being reviewed and employed here, I will stick with the latter.

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and, in fact, even different parties chosen by voters. By consequence, in reality the

final national party system and its degree of fragmentation would be the result of

the aggregation of these many district-level party systems that happen to be chosen

across the territory of a given country (Cox, 1997, 1999, Chhibber and Kollman,

1998, 2004, Hicken, 2009; Hicken and Stoll, 2008, 2011). For instance, even if

in a plurality system each district may have, in accordance to Duverger’s main

proposition, only two effective electoral parties, in case the two parties are not the

same across the districts, then the final national party system electoral fragmentation

would positively become greater than two. It is what happens, for instance, in

Canada and India (e.g. Riker, 1982; Gaines, 1999; Chhibber and Kollman, 1998,

2004).

Generalizing this idea to any type of electoral system, let D be the number of

districts d in a given country, each with magnitude Md where up to Md + 1 effective

parties tend to emerge (Cox, 1997). The final national effective number of parties

(ENEPnat) can range from the minimum value of Md + 1 if chosen parties were

the same in all districts; up to a theoretical maximum of∑D

d=1(Md + 1) if chosen

parties were different in each district. However, in practice, of course one can expect

ENEPnat to be very distant from this theoretical celling3, since approximating it

would require an unrealistically diverse party system across districts. Hence, while at

the district level the effective number of electoral parties (ENEPd) is approximated

by the Md + 1 rule, the ENEPnat will actually fall at some point of the interval:

min1≤d≤D

(Md + 1) ≤ ENEPnat ≪D∑

d=1

(Md + 1) (2.1)

3Empirically, it is certainly not usual for ENEPnat to approximate this ceiling∑D

d=1(Md + 1).In fact, it would be more precise to expect that (∃ENEPnat ∈ R+)(∀M,d ∈ N)|(ENEPnat �∑D

d=1(Md + 1)) ∝ (∑D

d=1(Md + 1) ≫ min1≤d≤D

(Md + 1))

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At exactly which point of this interval, it will depend, therefore, on how similar

are the party systems that emerge in each of the national electoral districts. Which

means how nationalized it is, in the end, the country’s overall party system. The

most well-known theorization of that phenomenon comes from Cox’s commonly used

concept of cross-district linkage, that deals with the extent to which “(. . . ) would-be

legislators from different districts find it necessary or valuable to link together in

[common] national parties” (1997:201). For him, the decision of parties on entering

or withdrawing the competition in each district might have to do not only with

the conditions of the local (within district) competition, but might be also a sub-

product of candidates and parties bargaining across districts. Consequently, Cox

proposes that with regard to Duverger’s main proposition, “if all candidates find

it necessary to join a party that runs candidates in all districts [i.e. nationally],

then local bipartism will indeed turn into national bipartism” (1997:201). In other

words, Cox sees the nationalization of the electoral supply (offer of candidates) as a

necessary and a jointly sufficient condition for the Duvergerian propositions to work

at the national level. However, there is no reason to expect that a party that offers

candidates in all parts of a country would also necessarily gather a similar electoral

support everywhere. It is, while for parties who offer only a regionalized supply

of candidates it is logically impossible to end up having a nationalized electoral

support, for parties who offer a nationalized supply of candidates it is quite possible,

and actually common, to end up with a non-nationalized electoral support.

Consequently, it is of the nationalization of the electoral demand that party

system fragmentation is a direct function. Not of the nationalization of the electoral

supply/cross-district linkage. Probably one of the reasons why the focus has been

cast so much on the electoral supply, is the fact the appealing idea of a national

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market for electoral coordination is much more difficult to be applied to voters.

It is dubious how much the voters would be able to coordinate strategically their

choices across the boundaries of their electoral districts as Leys (1959), for instance,

has imagined. More than that, it is also uncertain if such coordination would even

make practical sense (Cox, 1997, 1999). Still, even if it does not, there at least

two other ways of thinking about how the electoral demand can be more or less

nationalized. One has to do with the extent to which voters in different parts

of a given country deeply share their political identities and preferences. It has

to do, as such, with a sociological structural feature that has to do with what,

based on Schattschneider (1960) and using Kawato’s (1987) decription, we could

name as the over-time process of nationalization of the electorate. In Caramani’s

(1996:206) words, the “homogenisation of political characters (. . . ) [when] political

identities are moulded by wider environmental contexts, and parochial memberships

are replaced by cosmopolitan identities” (see also Sartori, 1976; Caramani, 1996,

2004; Chhibber and Kollman, 1998, 2004). The second way of thinking about de

degree of nationalization of the electoral support is how much parties are able to

evenly appeal to the electorate across the country in a given election. In fact, even if

there are no specific territorial cleavages in the electorate, parties may have diverse

electoral appeal in each area of the country, like it happens in Brazil. While even

if there are territorial cleavages, parties may be able to adapt accordingly in the

localized areas and end up having a nationalized appeal.

In fact, although usually forgotten, the exceptions Duverger (1954) himself made

to his propositions were a few countries with strong regional parties - such as pre-

war Belgium, Denmark and Sweden, as well as modern Canada. Noticing this

and reformulating the propositions to accommodate the exceptions, Rae probably

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became the first to recognize explicitly the impact regional parties could have on the

functioning of Duvergerian reasoning: “Plurality formulae are always associated with

two-party competition except where strong local minority parties exist” (1971:95).

After him, others have suggested that, theoretically, regional parties (Riker, 1982;

Sartori, 1976; Geddes and Benton, 1997), regional social cleavages (Rose and Urwin,

1975; Kim and Ohn, 1992) or geographically heterogeneous party systems (Cox,

1997, 1999; Chhibber and Kollman, 1998, 2004) can raise the final national party

system fragmentation in comparison to what the electoral systems would allow to

expect otherwise.

However, while scholars may implicitly recognize such important role played by

party system nationalization, this is a dimension seldom accessed empirically in the

literature about party system fragmentation4. The following equation represents

the most general form of the model of number of parties given by the literature, i.e.

omitting the party system nationalization (PtyNat):

ENEPnat = β0 + βj

J∑j=1

Xj + ζ (2.2)

Yet, we know from theory that ENEPnat = f(PtyNat), so:

4This is especially problematic when we consider how scholars measure the quantities of interestin this field of study: it is rare that scholars do model such relationship empirically at the districtlevel (one exception is Geys, 2006, on the Swiss system). In reality, published works on thedeterminants of the party system fragmentation always resort (as I will do here, following them)to some sort of aggregation. They generally (and I will) model the final ENEPnat instead of eachdistricts’ ENEPd. They usually use (as I will) the national average/median of districts’ magnitudesas covariate, instead of each districts’ M . As well as they always employ (as I also will) socialdiversity measured at the national level of countries instead of at each electoral district of eachcountry. Consequently, a theory we know works at the local level can only be empirically testedby using national aggregations. One of the most important consequences of this problem, usuallyneither clear nor made clear, is precisely the fact that it leads us to end up encapsulating the issueof party system nationalization in our models and inadvertently hiding them from our analyses.It means, we empirically model ENEPnat, not ENEPd, but omit from the set of covariates theparty nationalization that has generated ENEPnat from the many ENEPd. To do that meansflirting with an especially problematic omitted-variable bias.

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E[ENEPnat, P tyNat] 6= 0 (2.2a)

So if:

E[Xj, P tyNat] 6= 0 (2.2b)

Then:

E[ζ,Xj] 6= 0 (2.2c)

It means that by missing PtyNat at the right hand side, the usual models in

the literature are likely victims of endogeneity. The reason is that it only displaces

PtyNat (and its effect on ENEPnat) into the error term ζ. The consequence is that

βj found for covariate Xj will be biased in case such Xj is related to PtyNat. Even

worse, if as usual this is a model with more than one explanatory variable (J > 1),

we cannot even know the direction of the bias. Further mathematical proof is in the

Annex 2.A.

This can have important consequences for our previous knowledge about the

number of parties. Let’s assume the number of parties is indeed strongly related

to party system nationalization (what is quite likely according to theory) but we

model ENEPnat without using PtyNat as a covariate (as we know scholars have

been doing). At the same time, suppose that an important covariate such as social

diversity can be expected to affect both ENEPnat and PtyNat (what is reasonable,

as I will argue and demonstrate). How can we know whether the effect of social

diversity in the model of number of parties is not actually mostly or exclusively

related to the omitted variable party system nationalization?5

5Incidentally, the same applies the other way around, that is, for the literature on the predictorsof cross-district aggregation or of its related static party system nationalization. By not includingnumber of parties in equation 2.2, how can we know whether an explanatory variable in the model

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It is hopefully clear at this point that to disentangle this, it is necessary to

include party system nationalization as an additional variable that explains number

of parties. Yet, there might be, of course, good reasons for scholars to have refrained,

for so long, from doing so. While to the best of my knowledge, surprisingly no one

has ever clearly stated a reason for such notorious absences, I would argue that

authors have been, quite likely, usually concerned with two other types of potential

endogeneity that could be present were they to include party system nationalization

as covariate of number of parties. One is the measurement endogeneity and the

other is the reciprocal-causation type of endogeneity. After handling both issues,

I will be able to test i) whether in fact nationalization of electoral support affects

party system fragmentation; ii) whether there is a reciprocal effect the other way

around; iii) if nationalization affects party system fragmentation, how its inclusion

in the model of number of parties might change the role of other covariates such as

established by literature (e.g. that of social diversity).

2.2 The endogeneity obstacles for including party

system nationalization

The concern about measurement endogeneity is, of course, easily justified if we

recall that literature has often assessed party system nationalization, cross district

aggregation or linkage by what has been called party inflation indices (Chhibber

and Kollman, 1998; Cox, 1999; Hicken, 2009; Hicken and Stoll, 2008, 2011). These

indices, from the original version proposed by Chhibber and Kollman (1998) to the

further enhancements made by Cox (1999) and by Moenius and Kasuya (2004),

of party system nationalization is not actually related to the omitted number of parties?

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actually do not measure the cross-district homogeneity of partisan support in itself.

They measure the very impact that this has on the national number of parties,

since the core of all different versions of these indices rely on the subtraction of the

average number of parties at the districts from the total national number of parties

(ENEPnat −∑D

d=1ENEPd/D). The problem, here, is that since national number

of parties is a constituent part of the indices, party inflation obviously cannot be

used as an explanatory variable in models where the national number of parties is

the response variable6. In reality, this measurement endogeneity clearly precludes

any possibility of estimating a model where both national number of parties and

party inflation indices are present in different hand sizes of a same equation.

Let PtyInf represent party inflation measures. The following model cannot be

estimated as it is:

ENEPnat = β0 + β1PtyInf + βj

J∑j=2

Xj + ζ (2.3)

Because PtyInf ∝ ENEPnat.

Yet, we can opt for a different way to assess party system nationalization that

allows us to disentangle its effect on the national number of parties, instead of mixing

them together even more. There is quite a developed debate on the better ways to

measure the degree of homogeneity of the electoral support of parties and of party

systems (for a comprehensive summary of them, see Caramani, 2004; Bochsler, 2010;

6In fact, as a side note, I would also be cautious about the overall use of party inflation indicesas dependent variable as well. If our empirical knowledge on the determinants of the number ofparties was given by models at the district level as it should be, then there would be no problem,since in all versions of the inflation indices the

∑Dd=1ENEPd/D is subtracted and therefore goes

out. However, as our empirical knowledge actually comes usually from modelling ENEPnat, theconfounded effects when using party inflation indices as dependent variable can become unpre-dictable.

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Morgenstern et. al., 2014). Most of the recent ideas are based on regional coefficients

of variations or regional measures of dispersion, what is good because none of these is

mathematically related to any usual way we measure number of parties (i.e. Laakso

and Taagepera, 1979). My option here will be for the increasingly used Bochsler’s

(2010) index of party nationalization. It is essentially the inverse of a weighted

regional Gini index of inequality calculated for the electoral support of parties across

electoral districts. There is no reason to suppose a priori that a Gini index formula is

endogenous to the national number of parties at the measurement or matemathical

levels.

Undoubtedly, however, it still leaves the problem of party nationalization and

national number of parties possibly being endogenous at the theoretical level. First,

because these two phenomena surely can be thought of as sharing political and

social determinants, as well as sharing omitted determinants. Secondly, and much

more interesting, because they can be reasonably thought of as reciprocally causing

each other. As I have mentioned, higher party system nationalization is usually

expected to decrease number of parties. But it is not absurd to think that more

effective parties in a country should difficult the nationalization of the party system

as well. For instance, more parties could mean increased difficulty in the cross-

district coordination, i.e. in deciding who enters and who quits competition across

electoral districts. As well as a greater probability that some party may try (and

eventually succeed) to conquer regionalized electorates of a country.

In the end, it still looks like a saddening choice between harmful omitted variable

bias and hurtful reciprocal endogeneity. It is not difficult to visualize such trade-off.

Consider that the conceivable reciprocal causation between number of parties and

party nationalization, specified in equation format, has the following general form:

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ENEPnat = γ1,0 + γ1,1PtyNat+J∑

j=1

β1,jX′

j + ζ1 (2.4a)PtyNat = γ2,0 + γ2,1ENEPnat +

K∑k=1

β2,kX′′

k + ζ2 (2.4b)

Where γ represents the coefficients of the effect of one endogenous variable on

the other; β represents the coefficients of the effects of exogenous variables; X′j and

X′′

k are the sets of exogenous variables of each equation; and ζ1 and ζ2 represent the

error or disturbance terms of each equation.

One can easily notice why estimating the equation 2.4a alone would be prob-

lematic. The explanatory variable PtyNat would be correlated with ζ1, since an

increase in ζ1 would increase ENEPnat, who in turn would increase PtyNat in the

absent equation 2.4b, creating a loop. Hence, E(ζ1|PtyNat) 6= 0, meaning that

PtyNat introduces endogeneity in equation 2.4a. The same reasoning, of course,

is true for ENEPnat and ζ2 in equation 2.4b. This is a treacherous scenario for

researchers because it violates one of the most important assumptions for usual es-

timation techniques, since it means that a simple separate estimation of each of the

above will be biased and inconsistent. For further mathematical proof, see Annex

2.B. However, as we have seen, omitting PtyNat from equation 2.4a, as literature

has been doing, does not exactly solve the problem as well.

Fortunately, there is another option that improves on these two. One can stop

omitting PtyNat but, instead of estimating equation 4 only, one can estimate the

whole system of equations jointly. It means specifying explicitly the reciprocity,

hence testing and controlling for it, instead of vainly trying to avoid the problem.

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Moreover, this also actually follows more closely the theoretical specification we

usually have in mind: if we think of the subject as a system of equations, why not

estimate it as such? In the econometric literature, these multi-equation systems

with reciprocal causation are known as nonrecursive simultaneous equation models

(c.f. Bollen, 1989; Kaplan, 2008; Greene, 2011, Wooldridge, 2010)7 and are con-

sidered one of the types of quasi-experimental techniques (Antonakis et. al., 2010).

This type of model can be estimated by the separate-equation instrumental variable

approach (2SLS, WSLS) or, as I will do here, truly simultaneously by iterating the

system to parcel out the endogeneity that the dependent variable of one equation

introduces in the other equation (3SLS, MLE)8.

For any of these options to become possible, each equation will need at least

one excluded covariate, i.e. at least one exclusive explanatory variable working as

an instrument, for the system to become mathematically over-identified9. If the

model includes a correlation between the error terms ζ1 and ζ2, then more than one

exclusive covariate will be necessary. There is also an additional advantage of using

a system of equations instead of estimating only equation 2.4a. More than just see

which covariates of ENEPnat still have significance when PtyNat is included, the

7A very good introduction for social scientists in general on the specification, estimation andassessment of nonrecursive models can be found in Paxton et. al. (2011).

8 Limited information techniques like 2SLS estimate one equation at a time, but using in-strumental variables to deal with the endogeneity. Their advantage is that they do not carrymisspecification error from one equation to the other. But they also disregard possible correlationsbetween the error terms of equations, i.e. between ζ1 and ζ2 in our system above. Full informationtechniques estimate the two (or more) equations at the same time, thus allowing for this possiblecorrelation between errors to be specified, but they also spread eventual misspecification error fromone equation to the other(s). In this research, I will opt to present results of ML estimations, as inone of the models presented for comparison I will specify correlation between the errors. However,all main models were also tested with 2SLS to check for misspecification robustness, and resultswere very similar.

9Although just-identification is enough for the estimations to be reliably performed, actuallywe want the models to be over identified. Otherwise, assessment tests become either unavailableor unreliable.

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system of equations enables us to precisely find, calculate and test which are the

covariates that have direct effect on ENEPnat from the ones that have an indirect

effect through PtyNat.

2.3 Description of dataset and of variables

To make these analyses possible, I have built an original dataset10 that covers

nearly all democratic elections in 6211 countries, from 1945 to 2012. Starting from

1945, I have considered for inclusion any democratic period of all countries in the

world that had at least three consecutive democratic elections. The ones for which

data were found in time for this version of this chapter were included, covering all

continents and a wide variety of institutional, historical and social backgrounds. A

detailed list is in Annex 2.C. Notice that the cases I will work with are country-tier-

elections, not countries. For instance, each German election appears once for its

proportional tier, once for its single-member district tier12. Although this procedure

is not always used in the literature, it should be, once the effects of electoral rules

are supposed to be tier-specific. Of course, this choice can raise a concern about

the fact that different tiers in mixed systems quite possibly affect each other’s elec-

toral results (for a recent debate on this, see Crisp et. al., 2012), being therefore

inherently correlated. It is a justified concern, but one that can be dealt with if

authors resort to multilevel models or, in my case here, to clustered standard error

10The electoral data come from a broader original dataset that contains electoral results for eachparty, in each tier, disaggregated at the constituency level. Here, all partisan data will be usedaggregated for the party system at each election tier of each country.

11There will be 80 countries in the final version of the paper. Their data are already pre-processed, but there was not enough time to mount them into the dataset before this version ofthe paper was prepared.

12However, countries’ tiers that have only one nationwide constituency were, of course, droppedfrom the dataset, as it becomes pointless to calculate nationalization in such cases. The countrylist in the annex has a list of these dropped tiers.

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Figure 2.1: Party system nationalization (PtyNat) with bootstrapped measure un-certainty and Effective number of electoral parties (ENEPnat), per country-tiers

estimation. It is always better to address this issue at the estimation stage, where

non-independence can be explicitly modeled, than to mix countries’ tiers by an ar-

bitrary procedure (average, summing, etc) at the data preparation level, or to throw

away data. Besides, models with many elections for each country should always

employ techniques that account for clustering anyway.

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2.3.1 Endogenous variables

As previously explained, there will be two dependent variables, each also ap-

pearing as an explanatory variable of the other. The traditional effective number of

electoral parties as proposed by Laakso and Taagepera (1979) will be the measure

of party system electoral fragmentation at the national level (ENEPnat)13. Mean-

while, my measure of static party system nationalization (PtyNat) will be based on

the standardized Party Nationalization Score (PNSs) proposed by Bochsler (2010).

This score applies a weighted Gini index of regional inequality to the share of votes

each party receives in each electoral constituency, accounting for differences in pop-

ulation size across constituencies. Then, a log function is used to standardize it,

accounting for differences that exist in countries’ number of districts. I have used

bootstrapping to calculate the PNSs of each of the about 18300 parties-election-tier

covered by my data. Then, to get a party system version (PSNSs), I have used the

weighted average of all parties in a given election-tier-year. PNSs can range from

0 (total party system regionalization) to 1 (perfect party system nationalization).

Figure 2.1 shows the time-averaged PSNSs of each country-tier in the dataset, with

confidence intervals, as well as the time-averaged ENEPnat.Notice that the graphic

is ordered from the lowest to the highest estimate of PSNSs. It broadly confirms

the notion that to the extent PSNSs increases, the cloud of grey points formed by

ENEPnat tends to decrease. Additionally, this graphic shows that PNSs does not

vary according to the electoral type of tier being considered. This is good news.

Otherwise the very use of this measure would become problematic, because since we

13I have tried variants of this measure that claim to correct for the presence of the aggregated‘others’ category in the electoral results (e.g. Taagepera, 1997), even if few elections have suchcategory in my dataset. Using these alternatives did not yield any different results, so for the sakeof simplicity I opt for the usual index calculation.

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already know electoral type of tier is strongly correlated with ENEPnat, it would

become unfeasible to disentangle the effects of PSNSs, ENEPnat and tier type

altogether.

2.3.2 Exogenous shared variable of interest

The canonical variable mobilized by scholars to explain countries’ effective num-

ber of parties, and which might also affect party nationalization, is social diversity.

A great variety of measures for it were proposed by the political and econometric

literatures, but roughly all are based on identifying the demographic size of the

linguistic, ethnic and, sometimes, religious groups present in each country. Then,

these indices calculate some sort of effective number of groups or its mathemati-

cally equivalent fractionalization index. From the many available, the measure I

will adopt as reference is the recent ethno-linguistic fractionalization measure based

on politically relevant groups, delivered by Cederman et. al. (2009). This is the

only recent dataset on ethnic groups in a sort of panel format instead of covering

a static point of countries in time14. However, Stoll (2008) has undeniably shown

that the role played by social diversity in the model of effective number of parties is

not robust to measurement variability, meaning that the measures of social diversity

we choose in fact alter the results we get. Therefore, I will also replicate my main

model other 19 times, each with a different measure of social diversity15. All of

14There were two older datasets that covered more than one time point. Krain (1997) hadspecific estimates of ethno-linguistic fractionalization for the 1940s, 1950s, 1960s and 1970s, whileRoeder (2001) used the 1960s and 1980s versions of the famous soviet data.

15For the sake of space, I will only replicate models using measures of ethnic, linguistic andethno-linguistic diversity, not religious. Examples of indices I will use from literature are: Selway’s(2011), Amorim Neto and Cox’s (1997) and Roeder’s (2001) ethno-linguistisc fractionalization;Alesina et. al.’s (2003) measures for Linguistic and Ethnic fractionalization; Fearon’s (2003) Ethnicdiversity index and Cultural diversity index ; Klaus et. al. (2012)’s Ethnologues’s ethnolinguisticfractionalization and Desmet et. al. (2012) linguistic diversity at language aggregation levels 1, 2,5 and 15. Regarding measures of religious fractionalization, literature on number of parties does

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them in the format of fractionalization indices, i.e. the probability from 0 to 1 that

two individuals picked at random would not belong to the same social group. More

details on each social diversity measure will be found in the online supplementary

material.

2.3.3 Exogenous exclusive (instrumental) variables

The main covariate of effective number of parties in the literature is, of course,

some national aggregation of districts’ magnitudes. Likewise, here I employ the

usual average of magnitudes as a covariate in the ENEPnat equation, also adopting

the usual log transformation (ln(Mavg)). The justification of why it is also a good

exclusive variable of number of parties in the current setting is that there is no

reason - and no theory whatsoever that would suggest - to expect it to have any

direct effect on party nationalization. It means, there is no reason to expect the

average district magnitude of countries to impact on the party system nationalization

without first affecting the number of parties. It is true that many authors (e.g.

Caramani 2004; Hicken 2009; Bochsler, 2010; Hicken and Stoll, 2011) suggest that

number of districts may affect party nationalization; and since ln(Mavg) might be

related to number of districts, it could become important to include ln(Mavg) in

the models of party nationalization, therefore preventing it from being an exclusive

covariate of number of parties. However, as previously mentioned, because our

measure for PtyNat is standardized by the number of districts, this concern is not

necessary. Also, models that also include number of districts as control do not

present any difference in results. Moreover, additional tests with the inclusion of

number of districts or ln(Mavg) as control in the party nationalization equation

not often includes them and in any case, their inclusion does not change the results.

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(therefore making the system just-identified) did not yield different overall results.

As for the party nationalization equation, the main instrumental variable will be

V trsGeoHomog, or the degree of how much homogeneous vs. concentrated is the

distribution of voters across the territory of a country in a given year. It is measured

using the same logic as PNSs, but for number of voters16. The main motive why this

can be used as an important instrumental variable for party nationalization is that,

first, it can be obviously expected that de degree of demographic regionalization

will affect the degree of nationalization of the political system. It is reasonable

to expect that regional parties will have extra incentives to emerge or to survive

where population is regionally concentrated or very unevenly distributed. Second,

V trsGeoHomog is a good instrument of party system nationalization in the setting

of this chapter because there is no reason to expect it to affect the number of parties

directly, it is, unless trough first affecting party system nationalization.

Two other variables will appear as shared variables in the first models and then

as exclusive covariates, one of ENEPnat and the other of PtyNat, in order to allow

for the comparison of different model specification.

The additional instrument for number of parties can be PersV oting, a bi-

nary identification of which country-tiers allow vote pooling, i.e. allow voters to

choose specific candidates instead of only parties (c.f. Karvonen, 2010; Norris 2002;

Colomer 2009). I have followed Renwick and Pilet (2011)’s typology17 and applied

it to information provided by Bormanna and Golder’s (2013). It is clear that the

16To anticipate concerns with possible measurement endogeneity between PtyNat and this mea-sure of V otersHomog, I have also tested the main models measuring this covariate differently.Instead of valid votes across electoral districts I have used demographic figures across the highestsubnational administrative divisions of countries. These data came from various editions of theThe World almanac and book of facts. As the general findings were the same, I have opted toreport here only the results using VotersHomog.

17They are: Open list PR, Block vote, Cumulative vote, Limited vote, SNTV, Single TransferableVote.

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ability of choosing different candidates from a same party can alter the strategic

calculations voters do within their districts (e.g. Carey and Shugart, 1995). Du-

verger’s psicological effect can become much harder to happen, as strategic voting

may be harder to achieve (Cox, 1997). However, there is no established theory to

make us suspect a priori that it would affect party system nationalization.

While the additional instrument for party nationalization will be Federalism,

which is Gerring et. al.’s (2005) scale of unitarianism inverted and divided by two,

so in the end it ranges from 0 (descentralization) to 1 (strongly federative). Lijphart

(1994), Jones (1997), Geddes and Benton (1997) and Gaines (1999) offered some of

the theorizations about how federalism could be expected to affect the party system

fragmentation. The general idea is always that there is a “propensity of parties

in federal systems to split” due to “the viability of parties that play an important

role in provincial politics even though they have little weight nationally” (Geddes

and Benton, 1997:7). Which means, the expectation is that federalism would alter

the degree of nationalization of party systems and just then impact on the party

system fragmentation. There is no reason to expect that federalism would have a

direct impact on ENEPnat. On the contrary, it would be only indirectly, through

PtyNat. And that is precisely why Federalism should be safely included as an

exclusive covariate of PtyNat.

2.3.4 Other exogenous control variables

Additional exogenous controls will be also included in the model. UpperT ierSize

will be the percentage of seats distributed at compensatory upper tiers18, “(. . . )

18It is worth noticing that not necessarily compensatory upper tiers have to be neither nationwidetiers nor exclusive. Austria is a good example of country where after the primary proportionaltier where voters cast their votes, two other compensatory levels complement the seat distribution.One is an upper tier formed by macro regions and the next is a nationwide upper tier.

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within which unused votes (and sometimes unallocated seats) from primary elec-

toral districts are aggregated and distributed” (Cox, 1999:157)Following Cox (1999),

Hicken and Stoll (2011) and others, I expect it to alter the incentives for cross-

district coordination of parties. First, because the more nationalized parties are the

ones who tend to better profit by the seats’ allocation at compensator upper tiers.

Second, because countries that have such tiers normally have nationwide electoral

thresholds for parties to be included in this last stage of seat distribution. Examples

of countries with upper tiers are Austria, Denmark, Norway, Sweden, Venezuela

before 2000, among others. President is a binary variable detecting presidential

systems, a control for the possible impacts of the existence of presidential powers

and presidential elections in a given country19.

Graphics with the statistical distribution of all variables can be found in Annex

2.D.

2.4 Results

Altogether, I will present results from 5 different models. Two of them will be

also replicated 19 times, as mentioned above, each with a different measure of social

diversity. The first model will serve for comparison purposes, as it is a naıve separate

OLS estimation of each equation in our system, one for ENEPnat omitting PtyNat

and another for PtyNat omitting ENEPnat. The other models are the proper

simultaneous equations, where the whole system of equations is estimated at the

same time by Maximum Likelihood estimation robust to non-normality (Asymptotic

19The literature about how these presidential system characteristics may impact on theENEPnat (Cox, 1997; Amorim Neto and Cox, 1997; Jones, 1994; Hicken, 2009; Hicken and Stoll,2011), on the party nationalization (Morgensterns et. al., 2009; Penas, 2004) or on both (Hockenand Stoll, 2011) is abundant. Therefore, President will be a variable included as shared covariatesin all models.

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Figure 2.2: Path diagrams of the models 1 to 4

ENEPnatln(M)

𝜁1

Social Diversitynat

Upper TierSize

Models 1 (excludes bidirectional blue arrows) and 2 (includes bidirectional blue arrows) :

PSNSs

𝜁2

VotersHomog.

Federalism

Presidential

PersonalVoting

ENEPnatln(M)

𝜁1

Social Diversitynat

Upper TierSize

Models 3 (excludes dashed curved blue arrow) and 4 (includes dashed curved blue arrow):

PSNSs

𝜁2

VotersHomog.

Federalism

Presidential

PersonalVoting

-Note: endogenous paths are in blue and exclusive exogenous covariates are in red.

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Distribution Free - ADF) and with clustered standard errors. Let’s recall that

simultaneous estimation of the two equations means that models 2 to 5 must have

excluded covariates in each equation working as instruments.

In more detail, model number 2 specifies only ln(Mavg) as exclusive covariate

of ENEPnat and V trsGeoHomog as exclusive covariate of PtyNat. Which means,

PersV oting and Federalism are specified as shared covariates of ENEPnat and of

PtyNat. This is important to show that besides not having theoretical justifica-

tions for V trsGeoHomog to affect directly ENEPnat or for PersV oting to affect

directly PtyNat, there are also no indication of such effects empirically. Models

3 and 4 specify PersV oting as an additional exclusive covariate of ENEPnat and

V trsGeoHomog as an additional exclusive covariate of PtyNat. Recalling, the rea-

son for that is we need more than one exclusive covariates per equation to estimate

and assess a model that allows covariance between the equations’ error terms (to

test the hypothesis of shared omitted variable). That model is the number 4, which

has the exact same specification as model 3 but allowing error covariance. Figure

2.2 presents the path diagrams of these fours models as form of visualizing each

specification.

Model 4 is a trickier model to estimate, because in case our additional instru-

ments are weak or theoretical grounds for considering the variables as exclusive

covariates are flawed, results of model 4 would become doubtful. Model 3 is more

parsimonious. However, testing the differences between a preferred model (the num-

ber 3) and its version with correlated disturbances, is a crucial step for the reliability

of results (see Antonakis et. al., 2010). The specialized software Mplus 7.11 was

used for estimation, with connection to R 3.0.2 through the package MplusAutoma-

tion.

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Table 2.1: Simultaneous Eq. Models of the reciprocal relationship between partysystem nationalization (PtyNat) and national effective number of electoral parties(ENEPnat)

Model 1 Model 2 Model 3 Model 4OLS MLE MLE MLE

Coef. Rob.SE Coef. Rob.SE Coef. Rob.SE Coef. Rob.SE

ENEPnat ON:Intercept 2.73 (.31) 3.76 (.83) 3.87 (.78) 3.92 (.95)ln(PtyNat) -5.32 (2.46) -5.54 (1.93) -4.68 (2.70)ln(Mavg) .32 (.14) .23 (.11) .23 (.11) .26 (.13)PersVoting .78 (.36) .63 (.32) .61 (.30) .60 (.33)SocialDiversity 1.57 (.63) .51 (.66) .50 (.64) .70 (.76)President -.40 (.38) -.37 (.26) -.35 (.23) -.34 (.24)UpperTierSize .26 (1.60) 1.29 (1.60) 1.30 (1.56) 1.16 (1.61)Federalism .41 (.39) -.14 (.33)

R2: .15 .41 .41 .39

ln(PtyNat) ON:Intercept -.40 (.08) -.32 (.09) -.32 (.09) -.37 (.17)ENEPnat -.02 (.01) -.02 (.01) -.01 (.03)VtrsGeoHomog .33 (.09) .29 (.08) .29 (.08) .32 (.12)Federalism -.06 (.03) -.05 (.03) -.05 (.02) -.05 (.03)UpperTierSize .19 (.07) .19 (.06) .19 (.06) .18 (.07)SocialDiversity -.19 (.05) -.17 (.05) -.17 (.05) -.18 (.07)President .05 (.04) .04 (.03) .04 (.03) .04 (.04)PersVoting -.02 (.03) -.00 (.02)

R2: .29 .45 .45 .38

Disturbances covariance: fixed at zero fixed at zero fixed at zero -.03 (.07)

Over-all fit assessment:M.fit Chi2 p-value: .38 .79 .63CFI / TLI: 1.00 / 1.03 1.00 / 1.08 1.00 / 1.07Pr(RMSEA)≤.05 / SRMR: .73 / .01 .98 / .01 .93 / .01AIC / SampleSize adj.BIC: 1584 / 1612 1581 / 1606 1582 / 1608N 832 (both) 832 832 832

- Model 1 has separate equations estimated by OLS with clustered standard errors. Models 2 to 4 are systemof equations estimated jointly by Maximum Likelihood, with standard errors and chi-square test statisticsthat are robust to non-normality and non-independence of observations (clustered).- In Model 2, the exclusive covariate of ENEPnat is ln(Mavg) and the exclusive covariate of PtyNat isV trsGeoHomog. In Models 3 and 4, the exclusive covariates of ENEPnat are ln(Mavg) and PersV oting,while the exclusive covariates of PtyNat are V trsGeoHomog and Federalism.- Parameters with p-values greater than 0.10 are in grey, to ease visualization of inference.- In models 2 to 4, equation-level R2 are the Bentler-Raykov’s (2010) adjusted version for explained variancein nonrecursive models.- In these models, the measure for Social Cleavages is the ethno-linguistic fractionalization index based onpolitically relevant groups (Cederman et. al., 2009).

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The Table 2.1 has the results of models 1 to 4. Model 1 gives the results with

the omitted variable bias, resembling the general approach that is common in the

literature. First, notice that even this naıve approach gives some support for my

theoretical expectations about the variables that should be exclusive covariates in

the next models. For instance, as expected ln(Mavg) and PersV oting do not have

statistically significant effects on PtyNat, only on ENEPnat even under this omitted

variable bias. The same can be said about Federalism, which seems to affect

only PtyNat20. A result confirmed by model 2 under the simultaneous equation

framework, where PersV oting and Federalism are still treated as shared variables,

being included in both equations. That is what is changed in Models 3 and 4, where

PersV oting is now also specified as an exclusive covariate of ENEPnat (in addition

to the exclusive covariate ln(Mavg)) and Federalism is now also specified as an

exclusive covariate of PtyNat (in addition to V otersHomog).

Model 3 has, in general, the same results as model 2, but it is the only model

where the direct effect of ENEPnat on PtyNat is also statistically significant. It

means, where there is ready evidence of the reciprocal causality between number of

parties and party nationalization. Model 4 shows, for instance, that this very same

model specification, but allowing the possibility of covariance between the error

terms of the ENEPnat and of the PtyNat equations, once again makes the reciprocal

causation not significant. However, there is evidence that the error covariance is

not statistically significant. What means that we cannot reject the null hypothesis

that ENEPnat and PtyNat have no additional shared covariate left out from our

model. Or phrasing it differently, we cannot reject the null that the model is not

20Of course, also V otersHomog is clearly a covariate with no expectation to affect directlyENEPnat, what is confirmed by alternative model specifications not presented in here due tosimilarity of result

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omitting additional shared covariates between equations. Of course, this does not tell

anything about one-equation omitted variables, only about shared omitted variables.

Also, it can not be read as a positive proof that omitted variables do not exist -

which is something that can not be directly tested. It should be read as a negative

evidence: the model lacks evidence that shared omitted variables exist.

It also means that, as there is no evidence of error covariance, we should stay

with the more parsimonious models, like models 2 or 3. The chosen one is the

number 3, since it has the best fit, as it can be seen by the higher probability that

RMSEA is lesser than .05, by the greatest Chi2 p-value and by the lower CFI and

TLI measures21.

The greatest difference across models was the effect of ENEPnat on PtyNat,

i.e. the existence of reciprocal causation. This result proved to be quite sensible to

model specification. But in general, the models with better fit showed a statistically

significant reciprocal path22. This should be enough to claim that in general lines,

to include PtyNat in the models of ENEPnat without either modeling the recipro-

cal causality or at least using instrumental variable estimation, would mean to risk

having unaddressed endogeneity depending on the rest of the model specification.

21Talking about model selection, models 2 to 4 all have similarly good CFI, TLI and SRMRabsolute fit statistics for the system of equations, as well as reasonably good equation-level Bentler-Raykov’s (2010) R2 - which is an adjusted version for nonrecursive systems. In addition, allthe three models pass safely in the Chi2 tests of model fit, rejecting the null hypothesis thatmisspecification issues would have affected the fit to the data. Under ML, these Chi2 tests are alsothe tests for validity of instruments (Antonakis et. al., 2010), showing that the set of instrumentsin the two models are statistically valid in all our simultaneous models. Lastly, the AIC and BICmeasure of relative model fit are quite similar between models. Still, model 3 has a much betterprobability that RMSEA is lesser than 0.05, what is a sensible and therefore powerful indicationof absolute fit. As well as it has the greatest Chi2 p-value. Therefore, and because its version withdisturbance covariance proved to be not necessary, model 3 will be used hereafter as the preferredmodel specification. As robustness checks, additional specifications with different combinations ofexcluded variables were tried and yielded the same general results.

22In the Annex 2.E, I show that different expectations of measurement error for PtyNat alsobring different results for the reciprocal causation. To the extent we assume more measurementerror, it becomes more likely that the reciprocal path is statistically significant.

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However, the results make even clearer that not including it at all is definitely a

problem. Looking back at model 1, it can be seen that in the usual OLS framework

with omitted variable bias, some shared covariates have statistically significant ef-

fect on both ENEPnat and PtyNat, like SocialDiversity and Presidential. Yet,

once we address the omitted variable bias by introducing ENEPnat and PtyNat as

covariates of each other, thus also explicitly specifying the possible reciprocal cau-

sation, the results for these shared covariates change quite radically. In all models

2 to 4 the direct effect from Presidential became only statistically significant to

ENEPnat, not anymore to PtyNat. While, even more important for the canonical

literature on this field, SocialDiversity loses the statistical significance of its direct

effect to ENEPnat, as well as the strength of such coefficient is halved. At the same

time, the direct effect of SocialDiversity to PtyNat stays significant, with similar

strength and expected sign.

This is a clear indication that party nationalization, or cross-district linkage, have

a mediator role for social diversity. It means, the effect of social diversity on number

of parties only comes through first altering the party nationalization. But instead of

just conjecturing such indirect effects, an additional gain we have for modelling the

relationship between ENEPnat and PtyNat through a system of equations is that we

can easily decompose the direct and indirect effects of all covariates, as well as their

statistical inference. Assessing that is important, because a significant relationship

between the endogenous variables not necessarily means that the covariates of one

of them have indirect effects on the other. Conversely, a non-significant relationship

between the endogenous variables not necessarily prevents indirect effects from being

relevant. Consequently, the coefficients of indirect effects must have their inference

tested separately. I present in Table 2.2 the indirect effects from all variables in

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previous model 3.

Overall, we can see in this table that no covariate of ENEPnat has an indirect

effect on PtyNat , but all important covariates of PtyNat do have statistically

significant indirect effects on ENEPnat. A first interesting finding among these

covariates is the result of V trsGeoHomog. It shows that, actually, even the degree

of demographic regionalization of population in a country ends up strongly affecting

the national number of parties indirectly, what is quite possibly something we are

not used to think about. Even more importantly, as we can see social diversity and

the size of upper tiers, two commonly used variables to explain the number of parties,

are in fact only indirectly related with it. Compare the results to the model number

1 in the previous figure, with the results of omitted variable biased OLS estimation.

The indirect effects of SocialDiversity and of UpperT ierSize and Federalism on

ENEPnat are of similar strength to their direct effects on ENEPnat when PtyNat

is omitted. Therefore, their effects indeed exist, are significant and are quite strong.

However, they reach the national number of parties only by altering the party system

nationalization, not directly as we may be used to think, especially in the case of

SocialDiversity. The theoretical underpinning of this is important. It means that,

at least as far as the available measures can tell, we actually do not have evidence

of social diversity being relevant for the within district electoral coordination. The

evidence that scholars in general have been collecting seems to point, in reality, more

to the role that social diversity has in changing the cross-district coordination.

Recall, nonetheless, that we know since Stoll (2008) that different measures of

social diversity can bring different results about its impact on the number of parties.

Hence, we still have to check whether the results I have found are robust to different

measures of social diversity. I replicate model three 19 times, and in each I have

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Table 2.2: Indirect effects to effective number of electoral parties (ENEPnat) andto party ystem nationalization (PtyNat) in previous Model 3

Indirect effects to: ENEPnat ln(PtyNat)Indirect effects from: Coeff. R.SE p-val Coeff. R.SE p-val

ln(Mavg) .02 (.02) .13 .00 (.00) .25PersVoting .06 (.05) .19 -.01 (.01) .33SocialDiversity 1.09 (.52) .04 -.03 (.02) .19President -.27 (.24) .27 .01 (.01) .24VtrsGeoHomog -1.77 (.88) .04 .03 (.01) .02Federalism .30 (.18) .10 .00 (.00) .16UpperTierSize -1.04 (.43) .02 -.00 (.02) .86ln(PtyNat) -.57 (.23) .01 .10 (.05) .03ENEPnat .10 (.05) .03 .00 (.00) .35

- Model was estimated by Maximum Likelihood, with standard errors robust to non-normality and non-independence of observations (clustered).- Parameters with p-values greater than 0.10 are in grey, to ease visualization of inference.- In this model, the measure for Social Cleavages is the ethno-linguistic fractionalizationindex based on politically relevant groups (Cederman et. al., 2009).

used a different variable to measure social diversity. Figure 2.3 shows, from these

replication models, the coefficients of the direct effects of SocialDiversity in each

equation. Other coefficients are omitted for the sake of space.

The difference is quite clear. While the impact of SocialDiversity on the number

of parties is almost never statistically significant, its impact on the party system

nationalization is almost always significant, with expected sign, and quite strong.

There are only two exceptions. One is Desmet et. al. (2012)’s measure of linguistic

fractionalization at their level 1 of linguistic tree aggregation. But even though,

this has clearly to do with their procedures to qualify language diversity according

to different levels of language in the Ethnologue’s language tree, since if we use

their measures at any other of their 14 levels, results are again consistent with other

social diversity proxies. The other only exception is Krain’s (1997). With this result,

it seems clear that, fortunately, the results presented here do not suffer from the

measurement sensitivity found by Stoll (2008) regarding the original debate.

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Figure 2.3: Coefficient of the direct effects of SocialDiversity in 19 replicated ver-sions of previous Model 3, each with a different measure for SocialDiversity

−2 −1 0 1 2Coefficient

●Classic Soviet EF (Fearon, 2003)ELF at the 1960s (Roeder, 2001)

Ef (Krain, 1997)ELF (Taylor and Hudson, 1972)

LF (Anckar et. al, 2003)EF (Anckar et. al, 2003)

EF (Annett, 2001)LF at Level 15 (Desmet et.at., 2012)LF at Level 10 (Desmet et.at., 2012)

LF at Level 2 (Desmet et.at., 2012)LF at Level 1 (Desmet et.at., 2012)

Ethnologue's ELF (Klaus et.al., 2012)Culture [Ethnoling] Frac.(Fearon, 2003)

EF (Fearon, 2003)LF (Alesina et.al., 2003)

EF (Alesina, 2003)ELF at the 1980s (Roeder, 2001)ELF (Amorim Neto & Cox, 1997)

LF (Selway, 2011)Pol.relevant EF (Cederman et.al., 2009)

ENEPnat

−0.3 −0.2 −0.1 0.0Coefficient

PSNSs

Direct effectfrom SocialDiversity to:

Models:

Lastly, I now introduce my model number 5, which is also exactly the same

as the preferred model 3, but it includes an interaction between ln(Mavg) and

SocialDiversity in the ENEPnat equation. It is important to try this specifica-

tion since it has recently become the standard way of translating the main theory

on the determinants of the number of parties. It means, the idea that the permis-

siveness of the electoral system works as a break or an incentive for latent social

and political cleavages to increase the number of parties (Duverger, 1954; Amorim

Neto and Cox, 1997; Ordeshook and Shvetsova, 1994; Clark and Golder, 2006; Stoll,

2008). Again, I replicate this model 19 times, each with a different measure of so-

cial diversity. Figure 2.4 shows the conditional direct effects of SocialDiversity on

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ENEPnat for each value of ln(Mavg), in each of the replicated versions of model 5.

Figure 2.4: Conditional direct effects of Social Cleavages on the effective numberof parties (ENEPnat), in 19 replication versions of Model 5, each with a differentmeasure for SocialDiversity

−4−2

0246

1: Pol.relevant EF (Cederman et.al., 2009)

2: LF (Selway, 2011)

3: ELF (A. Neto & Cox, 1997)

4: ELF at the 1980s (Roeder, 2001)

−4−2

0246

5: EF (Alesina, 2003)

6: LF (Alesina et.al., 2003)

7: EF (Fearon, 2003)

8: Culture [Ethnoling] Frac.(Fearon, 2003)

−4−2

0246

9: Ethnologue's ELF (Klaus et.al., 2012)

10: LF at Level 1 (Desmet et.at., 2012)

11: LF at Level 2 (Desmet et.at., 2012)

12: LF at Level 10 (Desmet et.at., 2012)

−4−2

0246

13: LF at Level 15 (Desmet et.at., 2012)

14: EF (Annett, 2001)

15: EF (Anckar et. al, 2003)

16: LF (Anckar et. al, 2003)

−4−2

0246

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

17: ELF (Taylor and Hudson, 1972)

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

18: Ef (Krain, 1997)

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

19: ELF at the 1960s (Roeder, 2001)

0.0

0.5

1.0

1.5

2.0

2.5

3.0

3.5

20: Classic Soviet EF (Fearon, 2003)

natural log of the average District Magnitude

Mod

erat

ed d

irect

effe

ct o

f Soc

ialD

iver

sity

on

EN

EP

nat

Figure 2.4 clearly shows that, once we include party nationalization in the equa-

tion of number of parties and also account for the possible reciprocity between them,

there is no unmediated (direct) effect of social diversity on ENEPnat, not even mod-

erated by districts’ magnitudes. Again, all effect of social diversity on the number of

parties actually is mediated by party system nationalization, coming to ENEPnat

only indirectly. The only exception is the measure of social diversity called Culture

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Diversity, by Fearon (2003). It is an ethnic fractionalization index that takes into

account cultural distance of languages and is the only that has part of its condi-

tional effect not crossing the zero line in the graphics above. Even though, only

the very beginning of its plot is significant, meaning that only in cases with low

average magnitudes social diversity measured by such measure would have a real

impact on ENEPnat. Besides, it has the opposite direction than expected. Greater

average district magnitude appears to decrease the conditional effect of this measure

of social diversity on ENEPnat, what is inconsistent with the theory. Therefore, it

is clear that the results point in the general direction found in the previous figures,

i.e. social diversity only affects number of parties by first affecting party system

nationalization.

2.5 Conclusion

Primarily, I have shown a way through which we can start including party sys-

tem nationalization in the models of number of parties. I argue that, actually, no

empirical research modeling number of parties at the national level should ever omit

such a constitutive term. However, although I have found evidence suggesting that

there may be a reciprocal causation between party nationalization and number of

parties, thus leading to simultaneity endogeneity, I have also pointed that this result

is non-robust to different specification and is weak. Still, researchers that want to

stop omitting party nationalization from the models of number of parties should not

risk the possibility that their specification is suffering from endogeneity.

To deal with it, I have proposed that researchers can model this through a si-

multaneous system of equations. But of course, considering the lack of strong and

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consistent evidence on the reciprocal causation, one could also model number of

parties with party nationalization as covariate and estimate the model using sim-

pler instrumental variable techniques. I would claim that this is probably the most

generalizable solution: to not omit cross-district linkage from the models of national

number of parties, but to estimate always in an instrumental variable framework.

I have even offered here some initial suggestions of good instruments for party na-

tionalization. Measures of federalism seem to be one. But above all, measures of

geographical distribution of population or of voters seem to be the best options. In

addition, if a researcher is operating in a simpler framework, out from the simul-

taneous equation world, another obvious option would be using a temporal lag as

instrument (getting closer to an Arellano and Bond approach). I hope these first

findings can help scholars to feel freer to explore directly the relationship between

number of parties and cross-district coordination.

Furthermore, I have shown that all this effort is not a detail. By including party

system nationalization in the model we actually alter consolidated results present

in the literature. Or rather, we displace them to their correct location. Given

the evidence usually mobilized by the literature, national-level measures of social

diversity and upper tier size are variables that do not affect strategic voting at the

electoral level. They change the degree of cross-district homogeneity of partisan

electoral support. They change party system nationalization. It is not my intention

to make the bolder theoretical claim that social diversity does not matter at all

within electoral districts. They may have a role there as well, it is just that we

really have no evidence as we usually think we do. The evidence that we usually

relied on is spurious. In the end, it is only a matter of defending once more the idea,

now empirically, that we should not make local conclusions using our aggregate data.

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Interestingly, we still lack good theories about why and how social diversity would

alter the level of cross-district linkage of parties, candidates and voters. Maybe this

is a good start to incentive future efforts in this direction.

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2.6 Annexes

Annex 2.A - Proof of endogeneity due to omitted variable bias in

models of ENEPnat that do not include PtyNat

Suppose that, as usual, a researcher does not include party system nationalization

(PtyNat) in a model of number of parties (ENEPnat), like the following:

ENEPnat = β0 + β1SocDiversity +J∑

j=2

βjXj + ζ (2.5)

Where SocDiversity is the social diversity (but could be any other variable of

interest), Xj is the vector of J additional explanatory variables and ζ is the distur-

bance term. The assumption of regular regression estimation is that all variables at

the right hand side of the equation are not correlated with ζ.

However, theory clearly tells us that E[ENEPnat|PtyNat] 6= 0. Therefore, be-

cause PtyNat was not explicitly included in the initial equation, it is actually being

absorbed by ζ:

ζ = γ1PtyNat+ ε (2.6)

Where ε is the true disturbance term of ENEPnat, were PtyNat included in the

model as a covariate.

Now suppose that cov(PtyNat, SocDiversity) 6= 0, i.e. that they are correlated.

Because PtyNat is within the error term ζ, the consequence is that SocDiversity

ends up being correlated with this error term as well.

To understand why, we substitute the formula of ζ into cov(SocDiversity, ζ):

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cov(SocDiversity, ζ) = cov(SocDiversity, γ1PtyNat+ ε) (2.7)

= cov(SocDiversity, γ1PtyNat) + cov(SocDiversity, ε)

Here the last term can be canceled out since the expected covariance between

SocDiversity and ε is zero, otherwise it would mean that there are additional omit-

ted variables confounding the effect of SocDiversity on ENEPnat.

Then,

cov(SocDiversity, ζ) = γ1cov(SocDiversity, P tyNat) (2.8)

Therefore, if γ1 6= 0 (i.e. PtyNat indeed has an effect on ENEPnat) and if

cov(SocDiversity, P tyNat) 6= 0 (i.e. PtyNat is related to SocDiversity), then,

not including PtyNat in the original equation would make SocDiversity become

endogenous, because of being related to the error term, i.e. cov(SocDiversity, ζ) 6=

0. This scenario will yield biased and inconsistent estimation of β1, that is, of the

effect of SocDiversity on ENEPnat.

In order to see why, it is easier to represent the terms β1SocDiversity+∑J

j=2 βjXj

with matrices. Let X1×p be a matrix of all p explanatory variables in the model while

Bp×1 is the matrix with the coefficients of the effects of these variables on ENEPnat.

The parameter estimates will be usually given by the following formula:

B = (X′X)−1X′Y (2.9)

Then we substitute Y:

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B = (X′X)−1X′(XB + γ1PtyNat+ ε)

= (X′X)−1X′XB + (X′X)−1X′PtyNatγ1 + (X′X)−1X′ε (2.10)

= B + (X′X)−1X′PtyNatγ1 + (X′X)−1X′ε

Since the expectation of ε is zero, once its mean is assumed to be zero, the last

term of this equation can be canceled out. So,

B = B + (X′X)−1X′γ1PtyNat (2.11)

Where (X′X)−1X′γ1PtyNat is the bias that makes B deviate from B. Notice that

such bias depends on both γ1, i.e. the effect of PtyNat on ENEPnat, and also on the

correlation between PtyNat and the other explanatory variables being considered,

due to the term (X′X)−1X′PtyNat.

Besides, as the correlation between SocDiversity and the omitted PtyNat has

the same sign as the correlation between PtyNat and ENEPnat, i.e. a negative

sign, we can also know in advance that the bias in the estimation of the effect of

SocDiversity on ENEPnat in the original model with omitted variable is positive.

That means, the omission of PtyNat artificially inflates the result of the effect of

SocDiversity.

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Annex 2.B - Proof of endogeneity in models of ENEPnat that include

PtyNat, if they do not explicitly model the possible reciprocal causa-

tion between these variables

Suppose that a researcher naıvely includes party system nationalization (PtyNat)

in a model of number of parties (ENEPnat), like the following:

ENEPnat = γ1,0 + γ1,1PtyNat+J∑

j=1

β1,jX′j + ζ1 (2.12)

Where X ′j is the set of additional explanatory variables and ζ1 is disturbance

term. The assumption of regular regression estimation is that all variables at the

right hand side of the equation are not correlated with ζ1.

However, although not specifying it, the researcher is afraid that the following

relationship may also be true:

PtyNat = γ2,0 + γ2,1ENEPnat +K∑k=1

β2,kX′′k + ζ2 (2.13)

Where X ′′k is the set of exogenous variables of this equation and ζ2 is its distur-

bance term.

The proof that E[PtyNat|ζ1] 6= 0 in the first equation is as follows. First we

isolate PtyNat, what I will do here by substituting the first equation into the second.

In this step, I will omit the intercepts of both equations to simplify the mathematical

steps. Dropping the intercepts for this proof is usual practice and does not alter

anything. So,

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PtyNat = γ2,1

(γ1,1PtyNat+

J∑j=1

β1,jX′j + ζ1

)+

K∑k=1

β2,kX′′k + ζ2 (2.14)

PtyNat = γ2,1γ1,1PtyNat+ γ2,1

J∑j=1

β1,jX′j + γ2,1ζ1 +

K∑k=1

β2,kX′′k + ζ2 (2.15)

PtyNat− γ2,1γ1,1PtyNat = γ2,1

J∑j=1

β1,jX′j + γ2,1ζ1 +

K∑k=1

β2,kX′′k + ζ2 (2.16)

PtyNat(1− γ2,1γ1,1) = γ2,1

J∑j=1

β1,jX′j + γ2,1ζ1 +

K∑k=1

β2,kX′′k + ζ2 (2.17)

PtyNat =1

1− γ2,1γ1,1

(γ2,1

J∑j=1

β1,jX′j + γ2,1ζ1 +

K∑k=1

β2,kX′′k + ζ2

)(2.18)

Assuming γ2,1γ1,1 6= 1, we can transform the above into the reduced form equa-

tion for PtyNat:

PtyNat = Π2,1X′ + Π2,2X

′′ + Z2 (2.19)

Where:

Z2 =γ2,1ζ1 + ζ21− γ2,1γ1,1

(2.20)

As a result, if the reciprocal path in fact exists, i.e. γ2,1 6= 0, then PtyNat is

a function of ζ1. It means that PtyNat and ζ1 are not independent in the first

equation. In more detail, let’s see why cov(PtyNat, ζ1) 6= 0. We substitute the last

structure form equation for the PtyNat inside this cov function:

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cov(PtyNat, ζ1) = cov

(γ2,1

∑Jj=1 β1,jX

′j + γ2,1ζ1 +

∑Kk=1 β2,jX

′′k + ζ2

1− γ2,1γ1,1, ζ1

)(2.21)

= cov

(γ2,1

∑Jj=1 β1,jX

′j

1− γ2,1γ1,1, ζ1

)+ cov

(γ2,1ζ1

1− γ2,1γ1,1, ζ1

)(2.22)

+cov

(∑Kk=1 β2,jX

′′k

1− γ2,1γ1,1, ζ1

)+ cov

(ζ2

1− γ2,1γ1,1, ζ1

)

By definition, the first, third and fourth terms in the above equation are equal

to zero. The first and the third because it is assumed that cov(X ′j, ζ1 = 0) and that

cov(X ′′k , ζ1) = 0, since they are specified as exogenous variables. The fourth term

because here we are also assuming cov(ζ1, ζ2) = 0, which mean a model without

shared omitted variables for the sake of simplicity. One of the models in the paper

considers the possibility that this is not the case, but its results show that such null

specification between the error terms holds true. Going further and canceling these

three terms here, we end up with:

cov(PtyNat, ζ1) = cov

(γ2,1ζ1

1− γ2,1γ1,1, ζ1

)(2.23)

=γ2,1

1− γ2,1γ1,1V ar(ζ1) (2.24)

Therefore, provided that there is a reciprocal path, i.e. γ2,1 6= 0, cov(PtyNat, ζ1)

will certainly be different from zero as well. Thus, PtyNat will be endogenous.

Of course, all the reasoning in this proof also applies for ENEPnat and ζ2 in

equation two.

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Annex 2.C – List of countries’ elections per tier in the data

Country Tier Elect.years N.Elec. Country Tier Elect.years N.Elec.

Albaniaab PR 2009-2013 2 Japan MMD 1947-1993 18

SMD 1996-2005 4 PR 1996-2012 6

Australia AV 1946-2010 26 SMD 1996-2012 6

Austria PR 1945-2008 20 Koreab SMD 1948-2008 19

Barbados MMD 1966 1 Latvia PR 1993-2011 7

SMD 1971-2008 9 Lithuaniaab SMD 1992-2008 5

Belgium PR 1946-2010 21 Luxembourg PR 1945-2013 15

Bolivia PR 1985-2009 7 Macedoniaa PR 2002-2011 4

SMD 1997-2009 4 SMD 1994 1

Brazil PR 1945-1962 5 Malta PR 1966-2013 11

1982-2010 8 Mexico PR 1991-2012 8

Bulgaria PR 1991-2009 6 SMD 1991-2012 8

SMD 2009 1 Netherlands PR 1946-2012 21

Canada SMD 1945-2011 22 New Zealandb SMD 1946-2011 23

Chile MMD 1989-2009 6 Norway PR 1945-2009 17

Colombia MMD 1958-1990 12 Peru PR 1963 1

PR 1991-2010 6 1980-2011 8

Costa Rica PR 1953-2010 15 Poland PR 1991-2011 7

Croatiaab PR 1995-2007 4 Portugal PR 1976-2011 13

SMD 1992 1 Romaniaab PR 1990-2004 5

Cyprus PR 1981-2011 7 Russiab SMD 1993-2003 4

Czech Rep. PR 1990-2013 8 Sloveniaa PR 1996-2011 5

Denmark PR 1945-2011 24 South Africab PR 1994-2009 4

Domin.Rep.a PR 1962-2010 12 Spain PR 1977-2011 11

Ecuador PR 1979-2009 12 Sri Lanka PR 1960-1977 6

Estonia PR 1995-2011 6 SMD 1989-2010 7

Finland PR 1945-2011 19 Sweden PR 1948-2010 20

Francea PR 1986 1 Switzerland PR 1947-2011 17

SMD 1973-1981 3 Taiwanb MMD 1992-2004 5

1988-2012 6 SMD 2008-2012 2

Germany PR 1949-2009 17 Trin.y Tobago SMD 1966-2010 12

SMD 1949-2009 17 Turkey MMD 1950-1957 3

Ghana SMD 1996-2008 4 PR 1961-2011 13

Greecea MMD 1952,1956 2 Ukraine SMD 1994-2012 4

PR 1946,1951 2 United King. SMD 1945-2010 17

1958-2007 14 United States SMD 1946-2012 34

Honduras PR 1981-2009 8 Uruguay PR 1954-2009 11

Hungary PR 1990-2010 6 Venezuelaa PR 1958-2000 11

SMD 1990-2010 6 SMD 2005-2010 2

Iceland PR 1959-2013 21 Zambia SMD 1968 1

Indiaa SMD 1977-2004 9 1996-2011 5

Ireland PR 1948-2010 18

Italy PR 1948-1992 11 Overall MMD 47

1994-2008 5 PR 506

SMD 1994-2001 3 SMD+AV 276

Jamaica SMD 1962-2011 11 Total 829

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a Missing elections: Albania (1992/smd); Croatia (2011/pr); Dominican Republic(1990/pr); France (1945-1977/smd); Greece (1950/pr); India (1951-1977/smd); Lithua-nia (2012/smd); Macedonia (1998/smd); Romania (2008-2012/smd); Slovenia (1992/pr);Venezuela (1993/pr, 1993-2000/smd).b In some or all elections, these countries also had an additional PR tier with only onenation-wide constituency, which was dropped from the sample since they make it mean-ingless to talk about cross-district homogeneity: Albania (1992-2005); Croatia (1992 and1995); Korea (1963-2012); Lithuania (1992-2012); New Zealand (1996-2011); Romania(2008-2012); Russia (1993-2011); South Africa (1994-2009); Taiwan (1992-2012).

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Annex 2.D – Distribution of variables used in the main models of this

chapter

ENEPnat

0 5 10 15

0.000.050.100.150.200.250.30

PtyNat

0.0

0.2

0.4

0.6

0.8

1.0

0

1

2

3

4

M

0 10 20 30 40

0.00

0.02

0.04

0.06

0.08

0.10

VtrsGeoHomog

0.0

0.2

0.4

0.6

0.8

1.0

0.0

0.5

1.0

1.5

2.0

2.5

UpperTierSize

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0

5

10

15

20

Federalism

0.0

0.5

1.0

0.0

0.5

1.0

1.5

SocDiv (Cederman et.al., 2009)

−0.

2

0.0

0.2

0.4

0.6

0.8

1.0

0.0

0.5

1.0

1.5

2.0

PersVoting

0.0

0.5

1.0

0.0

0.5

1.0

1.5

President

0.0

0.5

1.0

0.0

0.5

1.0

1.5

2.0

2.5

Variable

Den

sity

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Annex 2.E - Measure sensitivity of the main results for the effects

between ENEPnat and PtyNat

One should not forget the warning made by Mustillo and Mustillo (2012), that

measures of party system nationalization are not fixed, but estimates. They have,

therefore (and as I have shown in Figure 2.1), an uncertainty associated with them.

Such uncertainty is hidden within the measure, meaning that the default assumption

of zero measurement is not only unlikely, but certainly violated. This leads results

to be biased to an unknown extent. Although this is a difficult issue to solve, it is

not difficult to be addressed. Once more, it is just better to explicitly model the

measurement error rather than assume it, as usual, to be zero. In order to do so, it is

only necessary to recall that any observed measurement is, in the end, an indicator of

a latent unobserved construct. In the context of this chapter, it means that PtyNat

measured by PSNSs is actually a single indicator of a latent unobserved variable

that we could call Nationalization:

PtyNat = λ1Nationalization+ δ (2.25)

When we assume zero measurement error, all we do is to fix (consciously or not)

λ1 to 1 and δ to zero (c.f. Bollen, 1989). Of course, it is not possible to know

how much error there is in our measure of PtyNat as we do not really observe

Nationalization. But if we usually assume zero measurement error, what in other

words means one hundred percent reliability on the used measure, why couldn’t we

simply make different, less optimistic assumptions? The reliability ρ of PtyNat in

the above equation is given by the following:

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ρ =explainedvariance

totalvariance=λ21var(Nationalization)

var(PtyNat)(2.26)

Still fixing λ1 to 1, we can re-estimate previous models with different assumptions

about ρ, i.e. about var(Nationalization)/var(PtyNat). I have done so, by estimat-

ing one hundred replications of the chapter’s model 3, each time decreasing in one

percent point the assumed reliability of PtyNat as a measure of Nationalization.

Figure below shows two graphics with selected coefficients from these replications.

One has the coefficient and confidence interval of the direct effect from PtyNat to

ENEPnat, at each level of assumed reliability of PtyNat. The other is the coefficient

and confidence interval of the direct effect from ENEPnat to PtyNat at each level os

assumed reliability of PtyNat. The other coefficients are omitted for obvious space

limitation, but their results do not change in any important way when altering the

reliability of PtyNat.

The first graphic shows that the direct effect from PtyNat to ENEPnat in pre-

vious model 2 is fairly robust to measurement error in the PtyNat variable. The

results we get when assuming 100% reliability are the same we get until the level

of assumed reliability is of only 10%. As bad as our observed measure may be, it

is reasonable to suppose that it is not that bad. By the other hand, the second

graphic shows a different story about the direct effect from ENEPnat to PtyNat.

It is possible to notice that the result showed in Table 2.1 for this direct effect, i.e.

non-significance and coefficient around −0.02, is fairly dependent on PtyNat not

having measurement error. If our level of assumed reliability for this measure drops

from 100% to around 90%, it is enough to change the inference. The direct effect

from ENEPnat to PtyNat becomes significant and the less reliability we assume for

the measure of PtyNat, the greater becomes the magnitude of the coefficient of the

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Annex 2.E.1 - Changes in the direct effects from ENEPnat to PtyNat and fromPtyNat to ENEPnat according to the reliability assumed for PtyNat as a measureof latent Nationalization

−10

−6

−2

Assumed reliability of PSNSs

Coe

ffici

ent o

f

PS

NS

s→

EN

EP

nat

1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1

−0.

05−

0.02

0.00

Assumed reliability of PSNSs

Coe

ffici

ent o

f

EN

EP

nat→

PS

NS

s

1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1

direct effect from ENEPnat to PtyNat.

The interpretation of this finding is that, actually, the result about the impact

of the number of parties on the party system nationalization that we have seen

in the previous table, is not totally reliable. It is not necessarily wrong, but it is

too much dependent on PtyNat having at least 90% of reliability as a measure of

the latent Nationalization. Therefore, I would claim that the correct conclusion

about the reciprocal causation is the following. We have clear evidence that party

system nationalization has a strong impact on the effective number of parties at

the national level. While the result for the other way around is less clear in what

regards its statistical significance (it depends on how well we are measuring party

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system nationalization), but is in any case weak in what regards its coefficient. In

the end, we have good evidence that nationalization is an important variable to be

included in the models of number of parties, and few evidence about any important

reciprocal causation.

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Chapter 3

Personal voting and localism: ge-

ographical distribution of electoral

support under open list PR systems

In this chapter, I examine the often-assumed relationship between voting for

candidates instead of for parties, and the emergence of political localism at the

electoral arena. More precisely, first I investigate to which extent candidates for the

national Legislatives under personal voting (PV) systems end up with a localized

electoral support instead of a territorially dispersed one. Next, I also verify how

much electorally profitable a localized support has been in terms of winning odds.

Literature has largely taken the connections between PV and localism as a given.

More than that, it is not uncommon for PV to be criticized for it. Just as institution-

alized parties are, often, normatively expected to be nationalized across a country

(e.g. Sartori, 1968; Jones and Mainwaring, 2003), candidates from PV systems are

usually expected to gather similar electoral support across the inner areas of their

electoral circumscriptions. Like most established parties in developed democracies

moved from a regionalized electoral support to a nationalized one (Caramani, 1996,

2003), candidates under PV are expected to cease being local, parochial, to become

candidates of their whole electoral circumscription. In a sense, to “nationalize”

within the circumscription.

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Should they fail and therefore end up having geographically concentrated votes

in specific local areas, candidates are invariably associated to negative ideas such

as those of pork barrel, parochialism and localism (e.g. Mayhew, 1974; Fiorina,

1977; Ames, 1995, 2001; Allen, 2012). Regionalized and localized politics are in-

variably disparaged. When foundational scholars as Mayhew (1974) and Fiorina

(1977) claimed that, seduced by local politics, national representatives would tend

to overemphasize localized interests in the legislative arena, they were, as a matter of

fact, reviving regarding the American system the same concern that made Edmund

Burke advocate his normative paradigm of the free mandate when thinking of the

Westminster.

The problem with the American and Westminster cases, however, is that while

their single member district system (SMD) certainly is a PV system, since voters

directly chose candidates, they are also based on localized electoral circumscriptions.

It means under SMD localism is a given of the formal rules, making it difficult to

proper separate whether the Burkerian concerns should be put more on the shoul-

ders of the given localism or of the PV feature. Even so, such uncertainty has not

prevented scholars from frequently exporting the concern that PV would breed lo-

calism – and consequently parochial politics – to systems where localism is not given

de jure (see Katz, 1986, Shugart and Carey, 1995, Shugart et. al., 2005). It turns

out that the open list proportional representation (OLPR) type of electoral system

constitutes the ideal scenario for investigating it more fittingly. OLPR is also a PV

system since voters cast direct votes for candidates. But it happens in at-large elec-

toral circumscriptions with much greater magnitudes, where parties are allocated

seats in proportion to the votes received and PV determines which candidates take

the seats. It is an ideal scenario to check how much PV is in fact related to localism

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since localism is not a given of the formal rules.

Here, I contribute towards testing it by mobilizing electoral results for the na-

tional (Lower) Chamber of five countries that use OLPR: Belgium (2007 election),

Brazil (2006), Ecuador (2009), Finland (2007) and Latvia (2011). These are electoral

data for each candidate, disaggregated at the local administrative level (municipali-

ties) that lies within countries’ electoral circumscriptions (cantons/states/provinces/regions).

The intention is two-folded. First, it is to verify how often candidates have or have

not been presenting geographically demarcated electoral support (to where they

could eventually deliver pork) analogous to what happens in single member district

(SMD) systems. Second, it is to verify whether this pattern is electorally profitable

in comparison to spreading votes territorially. In the next section, I further develop

the theoretical framework about the link between PV and parochialism. Then, in

the following, I measure the territorial distribution of votes of candidates in dif-

ferent ways. Mainly, trough an Empirical Bayes Index of spatial autocorrelation

and trough a weighted regional Gini index. In the last session, I finally present

a multilevel model to assess the electoral gain of concentrating electoral support

geographically.

3.1 Does voting for a candidate mean voting for

a local constituency service?

Amidst the controversy over whether worldwide electoral systems are moving

towards the personalization of the electoral choices at the expense of the partisan

vote (e.g. Cain, Frejohn and Fiorina, 1987; Manin, 1997; Colomer, 2009; Karvonen,

2010), literature has been paying increasing attention to such personal dimension

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of the vote. Be it in systems that adopt the personal vote as a formal separate

choice from the partisan vote (i.e. preferential voting systems), be it as an informal

component of how voters would be more and more making choices in closed partisan

voting systems (Norris, 2002; Margetts, 2010; Karvonen, 2010). However, while we

are just beginning to focus our attention on and to understand the PV, it has already

been accused of plenty of unfortunate consequences.

The most common idea is that PV links candidates more directly to voters,

disregarding the mediation of parties. In different degrees and formulations, this

issue has been remarked by numerous authors (Ames, 2001; Mayhew, 1974; Cain,

Ferejohn and Fiorina, 1987; Carey and Shugart, 1995; Bowler and Farrell, 1993;

Samuels, 2001; Shugart et. al., 2005; among many others). Such a direct link

would have further undesirable impact in the legislative arena, triggering from the

fragmentation of party systems (Katz, 1986; Lijphart, 1994; Taagepera, 1994) to the

impairment of party strength and cohesion (Blais, 1991; Katz, 1986; Petersson et.

al., 1999). Other broader consequences to larger political outcomes could include

also affecting the focus and quality of implemented policies (Hicken and Simmonds,

2008), the increase of the particularism of transfers (Rickard, 2009) and increased

corruption (Chang and Goldgen, 2006; Kunicova and Rose-Ackerman, 2005; Persson

et., al 2003). Not to mention a series of additional penalties PV would bring to

different economic outcomes (Diaz-Cayeros et. al., 2009; Milesi-Ferreti, Millesi-

Feretti et. al., 2001).

Permeating most arguments about the unfortunate effects of PV, there is an

often present, but not always explicit assumption. It is that PV’s supposed direct

link between candidates and voters would cause the localization of politics, i.e. the

breeding of localism and parochialism. This intuition is, of course, a descendant

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of the classic debate on how the PV present in the American SMD system would

have stimulated pork-barrel practices and constituency-services. The concept was

popularized by Cain, Ferejohn and Fiorina (1987), whose definition is cited from

Fenno (1978): “many activities can be incorporated under the rubric of ‘district

service’ or ‘constituency service’, but the core activity is providing help to individ-

uals, groups and localities in coping to the federal government (. . . ) Private groups

and local governments need assistance in pursuing federal funds”. This intuition

later matched the classic theorization of Mayhew (1974) about the district system

adopted in the United States, besides other works as those from Lancaster (1986)

and Cain et al (1987). After all, pork barrel would be a result of members of the

Lower chamber (MC) trying to build dominance over their original districts, since

there is only one representative per district. Delivering enough resources and ser-

vices to their localities could, in practice, close the future competition and assure,

within districts, the reelection of their always reelection-seeker representatives.

However, in the context of multi-member PV systems, candidates and MCs usu-

ally come from much wider electoral circumscriptions and have many more competi-

tors in the legislative arena who also come from the same circumscription. Nonethe-

less, literature has frequently transposed the idea of the link between PV and pork

barrel politics from the American context to multi-member systems1. The usual rea-

soning is that “to build and maintain a personal base that can set them apart from

co-partisan, candidates focus their activities on particularistic distribution” (Allen,

1A frequently forgotten caveat of such transposition would be the fact that most of the strongstatements of the distributive theory regarding the American case inexplicitly depend on the exis-tence of district magnitude = 1. Only in this scenario an elected candidate would be certain thatshe or he does not have other legislators competing for future votes in the same electoral area.Thus, the possibility of pork barrel depends on the magnitudes of districts (Lancaster, 1986). Thisis a basic logical need for making plausible the giant logroll idea criticized by Krehbiel (1992). Fol-lowing this logic, as PR systems usually have much greater magnitudes it gets much more difficultfor a legislator under this system to adopt parochial behavior at the legislative arena.

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2010:4). It means that, in order to compete against a high number of opponents,

including co-partisans, candidates would behave in particularistic fashion, looking

for particularistic goods to deliver to a particular clientele.

More than that, for many authors, it seemed just logical and natural, likewise,

to assume that the particularistic goods per excellence would be the local goods.

The clientele per excellence would be the geographical ones and, thus, candidates

would build their personalism by delivering service and goods to political homeland

(general arguments can be found, for instance, in Katz, 1986, Shugart and Carey,

1995, Shugart et. al., 2005). Just like it happened in the single-member PV system

of the United States. This overall logic has been applied to many countries using

different PV systems, such as Italy (Golden and Picci, 2008), Colombia (Crisp and

Ingall, 2002), Estonia (Tavits, 2010), Indonesia (Allen, 2010) and, largely, about

the Brazilian case (Ames, 1995, 2001; Pereira and Muller, 2002, 2003; Samuels,

2001; Mainwaring, 1991, 1999)2. Few of these works have put this idea as clear

as Shugart et. al. (2005). Take for instance one of their statements which is a

good representative of this overall interpretation: “Where voters vote on the basis

of the personal distinctiveness of politicians, candidates for elective office often seek

to advertise the ways in which they will serve local interest” (p.437).

Yet, the not often asked question is: why? Why should we logically expect

such a link between PV and localism? Could not a candidate compete against co-

partisans and against other adversaries using personal but not local attributes or

actions? For instance, his/her appealing personal attributes, his/her linkage with

syndicates, associations, religions, in a way to seek clienteles that are not necessarily

geographically demarked? It is far from clear why we usually assume this mix of

2Although the same claim is usually not made regarding other countries with Open-List PRsystems such as Finland, Norway or Sweden.

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personalism and localism, almost as if they were equivalent. PV is institutionally

present in varied electoral systems and can be operated quite differently (see Cox,

1997, Karvonen, 2004). It is unknown how this personal connection between electors

and candidates would happen in contexts different from the SMD that characterizes

the American system. How the personal connection links to geography in order to

open gates to parochialisms and pork barreling in other types of electoral system?

Should we rightfully expect localism and parochialization even in a framework that

is not based on local districts with extremely low magnitude?

Specifically, the usual logical path goes as follows. The presence of PV is assumed

to foster personalism, and personalism is assumed to lead to localism, therefore PV

is assumed to foster localism:

PV −→ Personalisme;Personalisme −→ Localisme ∴ PV −→ Localisme (3.1)

Where:PV : is the existence of formal/institutional personal voting systems.

Personalisme: is the incentive from the electoral system for politicians to engage

in personalistic behavior in the electoral arena.

Localisme: is the further incentive for locality-focused, i.e. parochial, behavior in

the electoral arena.

Evidently, this is certainly a chain of too many and too strong assumptions. To

begin with, it is even debatable whether PV would naturally breed particularisms

and personalisms of any type. In other words, it is not undisputed that PV −→

Personalisme. But it is not my intent to develop this issue and thus I will have

to accept this first part of the statement as a given in order to proceed. So, let’s

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assume Personalisme ' PV for now on. I do so because my interest relies in better

understanding and assessing the second part of this chain, namely the assumption

that Personalisme −→ Localisme, which leads here to PV −→ Localisme

Theoretically, such an assumption that personalized voting in general should be

expected to breed local politics just as the particular PV in the American system

would do, is in fact a case of spurious association. As mentioned, the literature on

the American system deals with an electoral mechanism that is at the same time

small-district-based and candidate-centered. It is a PV because voters do not have

to choose only a party for the House of Representatives but, at the same time, a

specific candidate. And it is small-district-based since voters make such choice in a

previously given specific local circumscription called district. The problem is that

due to this framework, it is difficult to know whether it is the PV or the district-based

nature of the system what fosters localism.

It means that we need to make explicit the following distinction, as obvious as

it may sound, since it is often forgotten: districtalization cannot be always taken

as equal to personal voting. Put more accurately, they may sometimes be undistin-

guishable (“equal”), but cannot be confused as the same set of phenomena. Using

set theory, the assumption is that:

E(Dist ∩ PV ) 6= Dist ∪ PV (3.2)

Where:Dist is the occurrence districtalization of the vote.

While it seems quite straight forward why one expects local-district-based sys-

tems to foster localization of candidates’ interests, pork barrel and parochialism, it

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is not that easy to logically assume that personalized voting itself should always

necessarily cause the same situation. Thus, for PV systems to start fostering local-

ism, it may also be required for them to be framed by geographical demarcation of

the votes, once it is only the localized vote that can lead to localized politics. This

argument, that reformulates the first half of proposition (1), can be put as follows:

Dist −→ (PV −→ Localisme) ∴ Dist¬ −→ Localism¬e (3.3a)

Or, to keep with the set theory:

Localisme ⊂ (Dist ∩ PV ) (3.3b)

Localisme

DistPV

While it is even questionable whether the presence of electoral local-districts

should be taken as sufficient condition for a parochial political behavior of candidates

and of congressmen, it is in fact a necessary one. Therefore, PV systems can just

lead to such behaviors if districtalization is also present. Certainly, nevertheless,

by existence of districtalization I do not mean only the existence of legally pre-

defined districts as the American. Using Taylor and Johnston (1979) terms, we

could say that a given PV system can present either de jure districts or de facto

districts. The former means having districts pre-defined by law, while the latter is

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the case when the election is not organized in a small local district-based voting

system, but electoral results present patterns of effective geographical concentration

of candidates’ electoral support in local areas.

However, an important note of caution is necessary. Although both the pres-

ence of districts and PV can be seen as necessary conditions for the emergence of

localism in the electoral politics, it is not difficult to see why not even their joint

presence can be stated as a jointly sufficient condition for the existence of parochial

legislative behavior. Such a view of sufficiency would disremember the fact that we

can find, and general do find, considerable differences between what happens in the

electoral arena and what happens in the legislative arena (Bowler, 2000; Cox, 1987;

Cox e McCubbins, 1993). Both arenas can be strongly separated by institutional

frameworks within the legislative arena that shape MCs behavior despite of which

incentives have emerged from the electoral arena. It means that one thing is to

say that legislators elected in local districts under PV will probably prefer parochial

politics and pork barrel to deliver to those districts in order to maximize their fu-

ture electoral outcomes. Another different matter is to say they are really capable

of endorsing and of carrying this desire, given the rules of the legislative game they

will eventually face. That’s why even the presence of local electoral districtalization

is not sufficient, although necessary together with the PV, to strengthen the total

incentives for parochial behavior in the legislative arena.

With this, we complete the reformulation of proposition (3.1), by rewriting its

second half, given that Parocl means the final parochial behavior at the legislative

arena:

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Parocl ∝ f(Dist→ (PV → Localisme), P ermissiveLeg)|

(Dist¬ → Localism¬e ;Localism¬e → Paroc¬l ;PermissiveLeg¬ → Paroc¬l ) (3.4a)

Or, to keep with the set theory:

Parocl ⊂ (Localisme ∩ PermissiveLeg)|Localisme ⊂ (Dist ∩ PV ) (3.4b)

Localisme

Parocl

DistPV

PermissiveLeg

Given this schema, one can adopt three different logical approaches to verify

the link between PV and localism. The first is to verify empirically if the final

outcome really does happen at the legislative arena (∃Parocl). Second and third

approaches mean to verify if the two conditions for it are present (∃Localisme and

∃PermissiveLeg). The approach represented in proposition 3.1 usually has the

afore mentioned issue of spurious association because it resembles the problem of

omitted variable bias, since when scholars assume direct relationship between PV

and Parocl they are disregarding Dist and PermissiveLeg. However, empirical

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critiques to the deterministic relationship established by 3.1 are often insufficient as

well. Take for instance the counterarguments present in the extensive literature con-

cerning the Brazilian case. They rely on either sustaining that the final result just

does not happen, i.e. @Parocl (Ricci, 2003; Amorim Neto e Santos, 2003; Figueiredo

e Limongi, 1995, 1998; Mesquita, 2009), or that the condition PermissiveLeg is not

true (Figueiredo e Limongi, 2002, 2005; Santos, 2003). Evidently, eventual demon-

stration of both arguments (@Parocl or @PermissiveLeg) is enough to what they

propose: to demonstrate the insufficiency of the traditional deduction represented

by proposition 3.1. But they do not help identifying the size of E(Dist ∩ PV ), i.e.

the extent to each personal voting and districtalization are related.

Identifying this can be actually quite important. By one hand, to infer that the

electoral system does not create parochial incentives (@Localisme ) only because in

the end legislators are proved to not behave parochially (@Parocl ), would mean

incurring in the type of formal fallacy known as denying the antecedent3. By the

other hand, to affirm that parochial incentives from electoral systems do not exist

(@Localisme) just because in the legislative arena there is a restrictive framework for

these incentives to flourish (@PermissiveLeg), would be not only illogical due to the

sequence of the events. More than that, by relying only on this we would not know

what should happen in case any changes were made to the intra legislative framework

in order to make it more permissive (i.e. creating a case of ∃PermissiveLeg).

The OLPR systems offer us the opportunity to access this possible feature of PV

in a very unique way. By one hand, it would be obviously impossible to test it in

SMD or multimember districts (MMD) systems because in there PV and Dist always

perfectly coexist, then E(Dist∩PV ) = (Dist∪PV ). By the other side, the question

3It means: in the alleged situation where the occurrence of X is said to make Y happen, to saythat Y not happening is a consequence of the fact that X did not happen, is not necessarily true.

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would also be meaningless or hard to evaluate in proportional closed-list systems, as

although we know PV can still informally exist in these electoral systems (Norris,

2002), it is formally inexistent, so PV = ∅ ∴ (Dist∩PV ) = ∅. By the other hand,

in the PR-Open list the PV is given: under this system, the votes go first to the

parties of chosen candidates to define each party’s seats, then go to the candidates

themselves to define who in each party will take partisan allocated chairs (pooling

vote). At the same time, Dist is not given, i.e. there is no de jure local districts,

but it may be possible to exist some de facto ones. It means that with OLPR we

can fix PV and see the variation of Dist, making this the ideal combination for us

to test E(Dist ∩ PV ). It is exactly what I will do shortly, by mobilizing data from

Belgium, Brazil, Ecuador, Finland and Latvia.

3.2 Data

It is important to begin by describing a few details about the data used in the

following analysis. My sample covers the electoral results of all candidates for the

national (Lower) Chamber in five different country/elections that used PR Open

List systems. Belgium elected 150 legislators in 2007; Brazil, 513 in 2006; Ecuador,

103 in 20094; Finland, 200 in 2007; Latvia, 100 in 2011. Among these countries,

only Finland does not allow voters to cast party-list votes (i.e. to skip choosing a

candidate trough PV). While in the Belgium election of 2007 about 27.9% of the

voters cast a list vote, they were 9.8% in Brazil-2006, 33.6% in Ecuador-2009 and

41.9% in Latvia-2011. Other important differences between countries’ institutions

are: Latvia and Ecuador allow multiple voting and Latvia allows negative voting

4Ecuador also elects 15 legislators using the whole country as electoral circumscription, whichI dropped.

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(which I dropped, considering only the ordinal votes). There are a few differences

between how final votes are summed in the five countries, in order to calculate

number of chairs for each party5. In total, Brazil and Finland have the purest PR-

Open List system, being also almost identical in both countries. The other three

countries represent here some variations of the pure formula.

The electoral figures for each of the 10340 candidates in the original data are

disaggregated at the local administrative level (municipalities) that lies within the

countries’ electoral circumscriptions (cantons/states/provinces/regions). These cir-

cumscriptions are respectively 10 Belgian cantons, 26 Brazilian federated states, 23

Ecuadorian provinces, 14 Finnish electoral macro-regions and 4 Latvian planning-

regions6. What means that, in the five countries, the electoral circumscriptions are

indeed not formally local. So, as mentioned, from these systems one can only ex-

pect the personal voting to lead to parochial incentives and pork barrel politics if

elections end up drawing de facto districts across the localities that lay inside those

bigger and wider electoral circumscriptions. In my data, such localities into which

cantons/states/provinces/macro-regions are divided are officially called municipali-

ties in the cases of Belgium, Brazil and Latvia, the administrative parishes in the

case of Ecuador7 and cities in Finland. It is across these lowest administrative en-

5The greatest is in Ecuador, where votes nominally cast for candidates were counted after beingweighted by how many personal votes were cast.

6A few notes are needed here. I dropped a 11th Belgian canton, Wallon-Brabant (-5 legislators),and a 24th Ecuadorian province, Galapagos Islands (-2), as both have too few municipalities forthe computations being done. I also dropped a Brazilian 27th electoral district (city of Brasılia,-8), a 15th Finnish electoral district (city of Helsinki, -21), and a Latvian 5th electoral district(city of Riga, -30), as they are single cities-districts and the spatial statistics computed here needstudy areas divided in municipalities.

7More specifically, the official Ecuadorian administrative parishes are the cities and ruralparishes. Urban parishes into which cities are divided are not legally administrative units, noreven have the same representative status and political representation. I follow strictly the Ecuado-rian oficial INEC: Instituto Nacional de Estadıstica y Censos (National Institute for Statistics andCensus) in considering rural parishes and cities as the official local administrative units.

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tities of each electoral circumscription of the countries that I will test how often

candidates do concentrate votes geographically.

3.3 Spatial assessment: one needs parishes to be

parochial

Unfortunately, the size of the literature about localism, parochialism or pork

barrel politics seems to be inversely proportional to the quantity of works on how

to empirically define and assess these concepts. Consequently, it is not only a chal-

lenge to empirically verify the “degree to which individual politicians can further

their careers by appealing to narrow geographic constituencies on the one hand,

or party constituencies on the other” (Seddon et. al., 2001:1). It is even hard to

conciliate what is a “narrow geographic constituency” in the many diverse systems.

Here, I will use two different measures to assess different aspects of the geographi-

cal electoral support of candidates under PR Open-List systems. One is based on

spatial autocorrelation (to detect geographical clustering), the other is based on the

regional GINI index (to detect territorial homogeneity of electoral support).

3.3.1 Geographical clustering: Moran‘s I through an Empirical Bayes

Index

To look for electoral support concentrated in specific localities of a territory

means to check for geographical clustering. It is, to check whether there are ter-

ritorial strongholds where electoral support is similar across neighbor areas. The

usual way of testing that is trough spatial autocorrelation. Put in a simple form,

spatial autocorrelation means that neighbor observations of the same variable are

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correlated, thus configuring an autocorrelation in similar sense to its well-known

counterpart from panel analysis. But here, in spite of a variable being correlated

with itself over time periods, it is correlated with itself across areal units in a space

dimension. The usefulness of this in order to look for de facto electoral districtal-

ization and pork barrel loci is that strong positive autocorrelation in space usually

reveals spatial concentration of similar values across close neighbors (see Cliff and

Ord, 1981; Goodchild, 1991).

Spatial autocorrelation has been frequently measured trough indices like Moran’s

I, Geary’s C Ratio and Global G statistic, which all describe the overall spatial rela-

tionship of a given variable across all areal units (see, for instance, Fotheringham et.

al., 2003). Even in the literature about electoral support, it is no original proposal.

Ames (2001), for instance, has already used spatial autocorrelation to claim that

Brazilian candidates would have geographically concentrated electoral support. I

will follow a similar path. Like Ames, I will also opt to use Moran’s I8, but instead

of working with the traditional formula for this measure I employ here the Bayesian

version proposed by Assuncao and Reis (1999) to “adjust Moran’s I for the variation

on population size” (p.2160) among geographical areas. Their version of the index,

called Empirical Bayes Index for spatial autocorrelation (EBI), is an improvement

over previous measures at least for the field of electoral studies, due to the fact that,

as we know, voters are usually unevenly distributed across countries’ territories. I

slightly adapted Assuncao and Reis EBI so it can be bounded within the range

8I prefer Moran’s I over its similar Geary’s C, due to both its more spread use in the PoliticalScience and to its commonly pointed desirable distributional characteristics (Cliff and Ord, 1981).And over Getis-Ordis’ Global G, because Moran’s I does not differentiate hotspots and cold spotsin the territory, i.e. concentration of high values from concentration of low values. At first glancethis differentiation could be seen as welcome for my purposes in this chapter, since it would avoidfalse positive detection of electoral parishes. However, at the same time we would incur in greater(and in my case less conservative) risk of having false negatives, because simultaneous hotspotsand cold spots cancel each other in the Global G calculation.

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[−1, 1] like the traditional Moran’s I9, by subtracting the mean smoothed rate from

the numerator of their index. I will call it the Empirical Bayesian Moran’s I, for

differentiation.

Therefore, for each candidate in the sample, I calculated EBMoran’s I using as

input the candidate’s votes per city. Instead of using the proportion of votes, the

index uses the absolute number of votes of a given candidate and of total voters to

calculate the deviation of the estimated marginal z. Then, the formula is as follows:

EBMoran =n∑I

i

∑Jj wij(zi − z)(zj − z)

WI×J∑I

i (zi − z)2

(3.5)

zi = ci/ei − b√υi

Where:wij is the cell value in the spatial weight matrix WI×J , identifying whether mu-

nicipality i is a neighbor of municipality j; ci is the absolute number of votes a

candidate c had in municipality i; ei is the size of the electorate that voted in i;

the marginal expectation of ci/ei and υi is its variance.

For each municipality i in a given WI×J neighbor structure matrix, if municipality

j is its neighbor, the formula calculates how much the votes of a given candidate

deviates from the expected by the population distribution. Then, these deviations

zi and zj are multiplied and all products of deviations of all pairs ij are summed.

Here is where the final statistic comes from: for each pair of neighbor spatial units

i and j, if deviations zi and zj are both above or below the expected value given by

9Moran’s I and its derivations are bounded only when calculated with a raw standardized weighneighborhood matrix, which is a standard procedure that I also adopt here.

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the population distribution, than their product will be a positive number. But if zi

is above the expected and zj is below, or zi is below with zj being above, the product

of their mean will be a negative number. Similarly to Moran’s I, the EBMoran’s

I will range between -1 to 110. Following Cliff and Ord (1981), here this range

would also mean: -1 = negative autocorrelation (perfect concentration of dissimilar

values11); 0 = random spatial distribution; 1 = positive spatial autocorrelation

(perfect concentration of similar values). Notice, however, that big negative values

are, hence, unlikely for our purposes since it is quite uncommon to expect a candidate

to have concentration of dissimilar electoral support. I will come back to this point

in a moment.

The spatial matrix WI×J is where we input information about, within a given

electoral circumscription, which municipalities are neighbors of each other. I opt to

use the matrix type known as Queen contiguity, which basically identifies neighbor-

hood by contiguity of borders. But I present results both for Queen contiguity of

orders 1 and 2. The first order type (Queen 1) means that, for each municipality,

its neighbors are only the other municipalities who share direct boundaries. While

the second order type (Queen 2) means that, for each municipality, the neighbors

are the ones who share direct boundaries and also the first neighbors of the direct

neighbors. Of course, it seems evident that Queen 2 is more realistic than Queen

1 for our purposes. Suppose a candidate has strong electoral support in city A, a

weak support in the neighbor city B, but again a strong support in city C - which

is neighbor of B, but not of A. Even if A and C are not contiguous cities, they can

10That is true particularly in the case of row-standardized neighbor matrices, i.e. when theweight matrix has all values dived by the sum of their rows, so the sum of any row equals 1. Thisis the case of the matrices used in this chapter.

11Again, notice that negative values in Moran’s I do not mean concentration of low values neareach other, as it happens with Global G. It means concentration of dissimilar values near eachother.

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Figure 3.1: Distribution of the geographical concentration of electoral support (mea-sured by EBMoran’s I) of all candidates

Countries

spG

INI

−0.4

−0.2

0.0

0.2

0.4

0.6

0.8

1.0

Belgium Brazil Ecuador Finland Latvia

(a) neighbors = contiguous municipalities (WIxJ = Queen1)

Not elected Elected

Countries

spG

INI

−0.4

−0.2

0.0

0.2

0.4

0.6

0.8

1.0

Belgium Brazil Ecuador Finland Latvia

(b) neighbors = contiguous municip. + 1st neighbors of neighbors (WIxJ = Queen2)

Countries

Geo

grap

hica

l clu

ster

ing

(EB

Mor

an's

I)

Note: solid lines represent quantiles .25, .5 and .75.

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be part of a same electoral stronghold. I show both results as a robustness check of

sensitivity to the matrix specification12, and also for further discussion.

To implement such calculation of the spatial auto-correlation, I took the poly-

gon maps of countries divided into their lowest administrative level divisions and

adjusted these maps for their situation in the years of the elections, using official

information on the creation of new cities and merging of old cities. Then, for each

of the electoral circumscriptions (cantons/states/provinces/regions) I calculated the

spatial weights. Lastly, to calculate candidates’ EBMoran’s I statistic, I run one

thousand Monte Carlo simulations for each of the 2514 Belgian, 4840 Brazilian,

1272 Ecuadorian, 1754 Finnish and 761 Latvian candidates, so the statistics were

inferred based on random permutations13. Figure 3.1 brings the distribution of the

EBMoran’s I of each candidate per country, and per electoral outcome.

It is essential to keep in mind that each electoral circumscription is a different

study area for the calculation of EBMoran’s I, with a singular neighbor structure

of its municipalities. And as neighborhood structures are part of the formulae of

EBMoran’s I (the WI×J matrix), thus affecting the index, it is not advisable to di-

rectly compare magnitudes of results from one area against another (for a recent

example on this discussion, see Van Meter et. al., 2011). This figure aggregates the

study areas (electoral circumscriptions) of each country, therefore the most impor-

tant here is the trend. First of all, it should be noticed that the EBMoran’s I of

candidates reach greater levels of geographical concentration when computation is

done with WI×J of type Queen 1, which means the less realistic one. Still, in 3.1(a)

12I have also tried Queen matrices with order greater than 2, as well as other types of matrices.The results do not differ from the ones yielded with the matrices presented here, as can be seen inthe Annex 3.A.

13Both calculations of the spatial indices and also of the neighborhood matrices were done byusing the spdep and rgeos packages of the R software, version x64 3.0.1. Fine adjustments at theshape polygon maps of the countries were made with ArcGIS Desktop 10.

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in general 75% of the candidates scores EBMoran’s I of less than 0.4, and the dis-

tributions clearly show that most cases are concentrated in even lower values. The

exception is, probably, the distribution of elected candidates in Finland, which have

their bimodal distribution with one peak going towards 0.6. Overall, the median

elected candidate had a EBMoran’s I of around 0.3, and the median non-elected

candidate scored around 0.15. If one considers WI×J of type Queen 2, which is ar-

guably a more realistic formulation of municipal neighbor structure for our cases,

than the values of EBMoran’s I decrease even more. In 3.1(b), distributions go even

closer to zero, with median elected candidates scoring 0.2 and median non-elected

scoring around zero.

With any of the neighbor matrices, and in spite of the differences of neighbor

structures between electoral circumscriptions, the general results is that few to very

few candidates really had electoral support highly concentrated geographically in

the elections included in my data. More importantly, no matter what one might

consider as a low or high results, it is not negligible that most candidates in all

countries have values of EBMoran’s I that are close enough to zero for the reader to

question him or herself whether these electoral supports are something more than

randomly distributed across the territories. This is certainly an indication that con-

centrating votes is, at least, not exactly an unanimous pattern. Another support

for such conclusion is in the reasonably big variation that exists between candi-

dates. It means, the EBMoran’s I of candidates in all countries, maybe with the

exception of Belgium, range from very low, even negative values, to somewhat high

positive values. If nothing else, this is an additional evidence that concentrating

votes geographically is not a necessary behavior for candidates under OLPR sys-

tems. At the same, it is easy to see that there was a general pattern of more elected

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candidates having geographically concentrated electoral support than defeated can-

didates. In all countries, the median EBMoran’s I of the elected was at around the

third quartile of the non-elected, which might be an indication that while very few

candidates have high concentration of electoral support, concentrating it might still

be an advantageous scenario.

In any case, of course this is not a formal test yet. The formal assessment will

come in more detail in the last section of this chapter. But before getting there,

the reader should be made aware of two flaws of relying only on measures of geo-

graphical clustering like the EBMoran’s I to detect the importance of geographical

concentration of votes. One of the flaws is that victorious candidates may be just

concentrating votes in bigger cities, just following the overall geographical concen-

tration of voters. The other flaw is that while spatial autocorrelation measures are

ideal to detect geographical concentration of electoral support, they are not apt of

measuring the opposite: the well spread electoral support. This is both a substan-

tively important and, as we will see, a methodologically important matter.

3.3.2 The impact of cities with big population: Local G index

Let’s deal first with the issue of the impact of the geographical concentration

of population/voters on the concentration of electoral support of candidates. I

will use here the Anselin (1995)’s LISA: local indicators of spatial associations.

LISA are local versions of spatial autocorrelation indices (e.g. local Moran’s I,

local Geary’s C), capable of identifying the contribution of each municipality to

the spatial autocorrelation of the electoral support of each candidate in his/her

electoral circumscription (state/province/canton). In the same way, Getis and Ord

(1992) have proposed a local version of their global-G statistic, which is capable

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of differentiating spatial clusters of high values (hotspots) and of low values (cold

spots). It means, in our case, to differentiate, for each candidate, the cities in which

he or she concentrates more (hotspots, when local-G > 0) or less of their electoral

support (cold spots, when local-G < 0).

Figure 3.2: Concentration of population in each city and the average concentrationof candidates’ electoral support in that city (using local-G)

This is the option I follow here14. Accordingly, for all municipalities in a given

14Recall that, before, I have discarded Global G as a good measure, preferring the ones basedon Moran’s I such as the EBMoran’s I, because in the Global G the cold and hotspots cancel

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electoral circumscription (study area) I calculated how much each municipality con-

tributes (its local-G) for the overall spatial autocorrelation of each candidate. It

means, for instance, that we can assess how much, on average, the city of Turku in

Finland has contributed for the geographical concentration of votes of candidates

that run in the electoral area of Varsinais-Suomen, where Turku is located. We

end up having one score for each city regarding each candidate. Then, I took the

average of local G contributions given by each city for all candidates, so our cases

here become one value per municipality. We can call it average concentration of

candidates’ votes in each city. For comparison purposes, I also calculated the local-

G of the whole electorate itself, to get a score of the contribution of each city for

the geographical concentration of the electorate. In the former example, it would

mean to assess how much the Finish city of Turku contributes to the demographic

concentration in Varsinais-Suomen. In all cases, here I used again binary Queen

contiguity matrix of second order as the spatial weights matrix.

Now, we can see whether it is true and to which extent that, on average, the cities

with more concentration of population receive more concentration of candidates’

electoral support. The scatterplots in Figure 3.2 positively demonstrate that, on

average, the geographical concentration of electoral support of candidates follows

the very concentration of the demographic distribution of the electorate across the

territory. Notice how the lowess line of fit and, in some cases, even a linear line

of fit, closely approximate the diagonal line of reference that represents perfect

linearity. This result means that, besides the number of candidates who concentrate

votes geographically being a far minority, the concentration of votes in the territory

each other. However, this time we can chose to use local G instead of local EBI or local Moran’sI because we are moving the unit of analysis. From candidates to city, i.e. disaggregating, sohotspots and cold spots do not cancel each other anymore as in Global G.

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mostly follows the electorate itself15. In that sense, it starts getting a bit harder to

sustain that the majority of those candidates with more geographically concentrated

electoral support would be pursuing the formation of electoral parishes for electoral

purposes. Candidates mostly seem to be following the votes, i.e. concentrating their

gathering of votes where there are concentrations of voters. Or should one expect

that candidates would try to get less votes in the biggest cities on purpose? Now

let’s move to the second issue I have mentioned above: how spatial autocorrelation

is incapable of measuring the opposite of geographical concentration.

3.3.3 Territorial homogeneity of electoral support: Spatial GINI in-

dex

While the evidences so far seem to be sufficient to question the usual assumptions

about the automatic link between PV and localism, more work is still needed. The

problem is that, if we proceed to econometric analysis using EBMoran’s I alone as

a variable to measure spatial patterns of electoral support of candidates, we would

incur in one of two errors. If not in both - measurement error and misspecification.

Autocorrelation measures are ideal to detect geographical concentration of votes

(taking proximity into account), but are less than ideal to measure the opposite

scenario, the spreading of votes. The reason for that lies in the trick about what

means the lower range of spatial autocorrelation statistics such as Moran’s I and

EBMoran’s I (i.e. below zero and close to zero).

15The most numerous exception are a few cases in the peak above the diagonal reference line inBrazil. Interestingly, however, all these cities are in two of the Brazilian electoral circumscriptions,which are Parana and Santa Catarina. These are two of the states with most even distribution ofthe electorate across the territory. Santa Catarina is, for instance, the only state where the capitolis not even the greatest city. Therefore, it is maybe natural that in these states where many citiesare of medium size and none is gigantic compared to the rest, candidates are able to profit fromgeographical concentration in different parts of the territory

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Remember that, as afore mentioned, neither the negative nor the null autocor-

relation do mean homogenization of votes across units. As it is pointed by Lee and

Wong (2000) when talking about Moran’s I, “if the value of one areal unit is above

the mean and the value of the neighboring unit is below the mean, the product of

the two mean deviations will be negative, indicating the presence of negative spatial

autocorrelation”. So, negative autocorrelation shows the dissimilarity between what

happens in two neighbor areas, not the homogeneity. It is possible to visualize these

outcomes by comparing the schema in Figure 3. Naturally, it is probably impossible

to find electoral geographical patterns that resemble the chess board-like schema (a)

in this figure. Accordingly, when studying electoral distribution of votes in a given

country’s territory, it is not feasible to expect values of measures based on Moran’s

I to be either systematically below zero or even strongly below zero16. The more

realistic geographic pattern of electoral support that is opposite to the parish-like

concentration of votes exemplified in schema (c) would be, then, not (a) but in the

worst case (b) and in the ideal case, the (d).

In both cases, Moran’s I or EBMoran’s I approximate zero. Therefore, since

spatial autocorrelation statistics do not allow for a further differentiation between

the more homogeneous voting of schema (d) in Figure 3 and random voting in schema

(b), if we did not look for an additional measure and proceed to econometric models

using only EBMoran’s I as an independent variable, we would be leaving much

of the impact of spreading-votes-pattern out of our models. And so, biasing the

equation in favor of the parochial-pattern result. So, it seems necessary to try

16Actually, even in logical grid spaces as those of Figure 3, it seems that in higher orders ofQueen or Rook neighbor matrices, dissimilar results near each other are increasingly difficult tobe differentiated from random spatial pattern. Hence, schema (a) scores a negative Moran’s I farfrom zero only when using a Rook contiguity matrix of order 1. Queen contiguity matrices of anyorder or Rook contiguity with orders greater than 1 give, in practice, scores close to zero.

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137

Figure 3.3: Logical outcomes of territorial distribution and how EB-Moran is ex-pected to score*

(a)

I ∼ −1

(b)

I ∼ 0

(c)

I ∼ 1

(d)

I ∼ 0, . . . ,@I

Inspired by the approach of Lee and Culhane (2009).*Using Rook contiguity W matrix in order to assess the extreme logical possibilities.

another tactic to access the spreading-pattern or, in other words, the homogeneity

versus heterogeneity of candidates’ electoral support across the municipalities that

lay within their electoral circumscriptions. Probably the most accessible and yet

reliable option is to apply the concept of the well-known regional Gini index. Here,

it would measure the spatial inequality of electoral support of each candidate of

our sample, across the municipalities of his/her electoral circumscription. In the

same way that it is routinely done for examination of regional inequalities, but here

using as input the percentages of votes of candidates in each municipality of a given

electoral circumscription.

In the political science this experience is not new, but it is usually applied to

the study of nationalization, as I myself have done in the previous chapters. Take

for instance the index created by Jones and Mainwaring (2004) to study the na-

tionalization of electoral votes, i.e. territorial homogeneity of votes. It is precisely a

Gini-based distribution of the votes of each party across the electoral districts, called

PNS (Party nationalization score). Of course, here I would apply the index for each

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138

candidate, not for parties. And across local administrative units of Belgium, Brazil,

Ecuador, Finland and Latvia, that are inside electoral circumscriptions. However,

Bochsler (2010) has shown that this index, as several others, is biased by the number

of spatial units. Consequently, Bochsler proposed a standardized version of this PNS

from Jones and Mainwaring (the PNSsw), which also accounts for the differences of

number of voters in each spatial unit. This is especially important because of what

we have just found above - candidates frequently follow the concentration of popu-

lation in the territory. Hence, the index, that I will call here spatial Gini (spGINI)

to avoid confusion due to the fact we are not applying it here to a national scale,

will score 1 for a candidate with perfectly homogeneous territorial distribution of

his electoral support, i.e. with equal percentage of votes in every municipality (zero

spatial inequality=homogeneity). While a candidate with a totally concentrated vot-

ing across municipalities will score 0 (total spatial inequality=perfect heterogeneity.

The correlation between spGINI and EBMoran’s I is not big: -0.15 (statistically

significant). Figure 3.4 has the descriptive summary of this measure for my sample.

Differently from what we saw regarding the EBMoran’s I, the spGINI varies

a bit more across countries. Belgium and Ecuador generally have the higher fig-

ures, meaning that it is more common in these countries for candidates to achieve

very good territorial spread of their electoral support across the municipalities that

lay within their electoral circumscriptions. On the other side, Brazil and Finland

present more diverse patterns. Quite a few candidates seem to have moderate to

low territorial homogeneity of the electoral support, which again does not mean

geographical concentration but only a not even distribution of votes. At the same

time, this figure does not show a clear pattern of elected candidates having less well

spread electoral support than non elected candidates. But likewise the EBMoran’s

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139

Figure 3.4: Distribution of the geographical homogeneity of electoral support (mea-sured by spGINI of all candidates

Countries

spG

INI

Not elected Elected

0.0

0.2

0.4

0.6

0.8

1.0

Belgium Brazil Ecuador Finland Latvia

Countries

Geo

grap

hica

l hom

ogen

eity

(sp

atia

l GIN

I)

Note: solid lines represent quantiles .25, .5 and .75.

I results, this figure shows a noticeable dispersion of scores. That means candidates

ended up their elections with diverse patterns of territorial distribution of electoral

support. Which, again, is by itself a great indication that the link between PV and

Localisme is not direct and certainly not deterministic. Multiple situations coexist

under the same OLPR system. But now we have all the instruments we need to

move on to the statistical test of whether having geographical electoral parishes were

or not an electorally profitable electoral pattern in the elections covered here.

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140

3.4 Statistical models: does electoral localism pay

off?

In order to answer this question, I will model the impact of EBMoran’s I and

of spGINI on the odds of a candidate being elected. Both concentrating votes ge-

ographically and spreading the votes across the territory are expected to improve

the odds of winning17. This model will be specified as a bayesian multilevel logistic

regression equation. Therefore, the unit of analysis in the first level are, of course,

each candidate i, and the outcome variable is a binary identification of whether each

candidate was or not elected. At the second level, the clusters j will be the electoral

circumscriptions. Besides the general importance of using multilevel models to take

the shared electoral contexts of candidates into account, it will be also specifically

helpful in order to deal with the aforementioned fact that EBMoran’s I is dependent

on the geographical configuration of municipalities in each electoral circumscription.

In other words, besides modeling the non-independence between candidates, using

multilevel models here also isolates in the error term of the 2nd level the variance

introduced by each circumscription’s neighbor structure. All models will be specified

with intercepts and slopes for EBMoran’s I and spGINI varying per electoral circum-

scription, with correlation between the random effects. The general specification of

17Notice that I do not include here the local G, used for Figure 3.2, as an explanatory variable.Recall that in the analysis with the local G measure the unit of analysis were the municipalities,while the statistical model uses the candidates as cases.

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141

the preferred model is represented in equation 3.6:

elected ∼ Bern(θi) logit(θi) = β0ij + β1ijx1 + β2ijx2 +K∑k=3

βkXk

β[0:2]j = γ[0:2]j γ[0:2]j ∼ N(0, ξ) β[3:K]j ∼ N(0, 10) (3.6)

ξ = diag(σ)P diag(σ) σ ∼ Cauchy(0, 2) P ∼ LKJcorr(2)

In the general model specification, x1 is the variable EBMoran’s I, x2 is the

spGINI and Xk is the vector of fixed effects predictors, including the controls18. As

a brief description of the control variables, Incumbent is a binary predictor that

identifies whether each candidate was elected for the national (Lower) Chamber in

the former election. PctP ty is the percentage of total votes earned by the party

of candidate i at the circumscription k. It is expected to increase the electoral

performance, showing that despite of geographical patterns of electoral support,

the partisan label is still crucial even in PV systems. PctClosedList is the total

percentage of votes in a circumscription k that were cast directly for parties, i.e. from

voters who chose not to do PV. It is expected to decrease the electoral performance of

individual candidates, because when controlled for PctP ty, PctClosedList measures

only pooling votes that were lost by all candidates. NCand and NMunicip are,

respectively, the total number of candidates and the total number of municipalities

in a given circumscription k. Both enter the model not for substantive reasons, but

to account for the possibility that they might have residual relationship with both

EBMoran’s I or sptGINI, and also marginally with the odds of winning (at least in

the case of NCand). Graphics with the statistical distribution of all variables can

18Also notice in the third line of the equation that the covariance matrix for the correlatedrandom effects applies the separation approach proposed by Barnard et.al.(2000) and uses theLKJ correlation distribution, defined by Lewandowski et.al.(2009), as hyperprior.

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142

be found in Annex 3.B.

I will present results for 3 different models, each one in two versions. Model

number 1 will include EBMoran’s I, but exclude spGINI, while model 2 will invert

that. Model 3 will include both variables. Each of these models will appear once

with EBMoran’s I calculated using a neighbor matrix WI×J of type Queen 1, and

another time with Queen 2. All models were fitted using Stan software version 2.6.0,

in 4 chains with 50 thousand iterations each, half burned-in, and thinned at each

tenth iteration to ease computational manipulation of the results. Usual convergence

checks show no evidence of non-convergence for any of the models19. The results of

the estimates appear in Table 3.1.

Comparing the models 1a or 1b to models 2a or 2b, one can see why it was im-

portant to also calculate a variable like spGINI, which is, in a way, a complementary

measure to EBMoran’s I. Because spGINI is capable of detecting votes well spread

in the territory, while EBMoran’s I is not, models 1a and 1b without spGINI could

give a false impression that only concentrating votes in the territory gives electoral

payoff, since on average the effect of EBMoran’s I in both these models has 100%

probability of having the right sign and is of great magnitude. However, if we substi-

tute EBMoran’s I for spGINI, like in models 2a and 2b, we also find that spreading

votes across the territory pays off similarly well. On the contrary of that being a

paradox, it actually shows that both things should be modeled together so we avoid

having only a partial picture of the question being studied. It is exactly what it is

done in models 3a and 3b, where the two complementary measures appear together.

One can easily notice that, first of all, no matter which neighbor matrix we calcu-

late EBMoran’s I with, these models that include both EBMoran’s I and spGINI are

19Traceplots of the chains, as well as R-hat statistics and effective sample size of the parameterscan be found online at: http://vasselai.net/usp/final/chapter3

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143T

able

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144

clearly the ones with the best relative fit, as it is shown by WAIC and DIC statistics

being very much smaller in models 3a and 3b than in the other models20. Also the

absolute fit represented by the correlation between the outcome variable and the

logit of the posterior mean of the predicted values is slightly greater in models 3.

Considering that no evidence of relevant multicollinearity between EBMoran’s I and

spGINI was found, the fact the preferred models are those with number 3 is an initial

evidence of the importance of including both measures to get a better assessment of

the importance of geographical distribution of votes under OLPR systems. In any

event, the most interesting part, of course, are the results regarding the effects of

our predictors of interest. From now on, I will focus on models 3a and 3b to better

detail these results.

In these models, the posterior mean of the effect of EBMoran’s I actually shows

the average fixed-effect of the most extreme geographical concentration of electoral

support (EBMoran’s I=1). While the posterior mean of the effect of spGINI shows

the average fixed-effect of the perfectly homogeneous distribution of electoral sup-

port across municipalities (spGINI=1). The most important things to notice are

that, firstly, no matter which neighbor matrix was used to calculate EBMoran’s I,

both the effects of EBMoran’s I and spGINI have 100% probability of having the ex-

pected sign, i.e. of increasing by some amount the odds of a candidate being elected.

Secondly, in both cases such amount seems to be of great magnitude. Which means

that, ceteris paribus, both concentrating votes geographically or spreading votes ge-

ographically increased considerably the chances of winning for the candidates in the

elections covered by my sample. When EBMoran’s I was calcualted with a neighbor

20The difference in DIC even surpasses by far the standard threshold of a difference of 2, proposedby Raftery (1995) for the related BIC measure, as the rule of thumb of relevant differences of fitbetween models

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145

matrix of type Queen 1, the average effect of perfectly homogeneous distribution

of the electoral support on the chances of being elected was even slightly greater

than that of the most extreme index of geographical concentration. While when

EBMoran’s I was calculated with a neighbor matrix of type Queen 2, it was the

opposite. As for the other results, the most relevant is to point out that, as ex-

pected, being an incumbent at the national (Lower) Chamber had a positive and

strong effect on the odds of being elected, as did the total percentage of partisan

votes. The latter means that even under a PV system where there is more than one

candidate per party running in the same electoral circumscription, party electoral

strength matters.

Now, let’s focus a bit more on the effect of concentrating votes geographically.

One way to have a better idea of its effect on the electoral outcome of candidates is to

specifically calculate predicted probabilities of winning for each value of EBMoran’s

I. In a single level model, it would be trivial. It would be just a matter of fixing

a given value for each other predictor, then let EBMoran’s I vary. However, in a

multilevel-model it can get more complicated, due to the need of taking the ran-

dom effects into account. A computationally reasonable solution is to calculate a

point-prediction for each case in the data, considering the posterior of intercepts

and slopes of EBMoran’s I and of spGINI in each 2nd level cluster (i.e. each elec-

toral circumscription of the five countries), and then summarize. Hence, the overall

prediction will be the median prediction of all the predictions run at each of the 77

electoral circumscriptions in the data.

Figure 3.5 shows that, in fact, overall, higher levels of EBMoran’s I (e.g.> .45)

are expected to bring, on average, a steep increase in the probability of a candidate

being elected. While lower levels of positive EBMoran’s I (e.g.<0.45) seems to bring

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Figure 3.5: Median cross-level predicted probabilities of being elected, according tothe level of geographical concentration of votes

−.5

−.4

−.3

−.2

−.1 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1

0.1.2.3.4.5.6.7.8.91

(a) neighbors = contiguous municipalities

WIxJ = Queen1)

distrib. of EBMoran's I

Overall

−.5

−.4

−.3

−.2

−.1 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1

0.1.2.3.4.5.6.7.8.91

(b) neighbors = contiguous municip. + 1st neighbors

of neighbors (WIxJ = Queen2)

.25−.75 qtile .1−.9 qtile

Overall

0

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Geographic concentration of electoral support (EBMoran's I)

Pre

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ed p

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win

ning

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almost no change. That pattern varies a little between countries and the strength

of the effect of EBMoran’s I also depends on the neighbor matrix used to calculate

it. However, it is possible to see that in all cases, the density distribution (dashed

lines) of real EBMoran’s I in the data does not cover most the effect of EBMoran’s

I. That density shows where the real data lay, so very few cases in the data achieve

the higher values of EBMoran’s I that are the ones that really increase the predicted

probability. In substantive words, it means that only very rarely candidates present

a level of geographical concentration of votes that is capable of predicting a more

profound impact on the probabilities of getting elected. Again, notice that this is

true for all countries and with both definitions of weight matrix.

Lastly, it is worth exploring the random effects of the electoral circumscriptions.

More precisely, we can look at how much the particular posterior mean of the effect

of EBMoran’s I at each electoral circumscription contributes to its overall posterior

mean. It is a good way of assessing if the results seen in table 3.1 are consistent

across each electoral area of the countries, or if them vary widely. In Figure 3.6,

I show the contribution of these within cluster random effects on the fixed effect

of EBMoran’s I. For the sake of space, I will only present the result for model 3b,

i.e. the one where EBMoran’s I was calculated with the neighbor matrix of type

Queen 2. But the same patterns are yielded by model 3a as well. As it can can be

seen in the graphics, in fact the impact of concentrating votes geographically on the

odds of being elected is different across the electoral circumscriptions. It is much

greater in some parts of the countries, while much smaller in others, indicating that

not only the pattern of geographical distribution of electoral support varies among

candidates and that very few have strongly concentrated votes in the territory, but

also that the payoff of concentrating votes in the territory is not the same in every

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Figure 3.6: Random effects at the electoral circumscriptions - contribution of thevarying slopes of EBMoran’s I to its overall slope

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parts of countries. Different electoral patterns emerge, which suggests that if they

were to be pursued consciously as strategy, different strategies would be at hand,

depending on the candidates and depending on where they are competing. This

is, in fact, yet another clear evidence that, although there is definitively room for

electoral localism under the PV of the OLPR systems, such pattern is not close to

be as an hegemonic and decisive as the literature usually assumes. Although I do

not present similar graphics for other parameters for the sake of space, results are

the same, i.e. different levels of effect across electoral circumscriptions.

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3.5 Conclusion

This chapter aimed at the common assumptions about what would be the incen-

tives of electoral systems that adopt the personal voting mechanism in what regards

the geographical distribution of candidates’ electoral support. In a word, does such

a system really leads candidates to end up having electoral bunkers to where they

might deliver pork in the future? Substantively, one first conclusion was that, in

general, most candidates do not have great levels of geographical concentration of

electoral support, when measured by a version of the widely used Moran’s I.

Notice that it is not that concentrating votes geographically isn’t the only pat-

tern presented by candidates, what by itself already demystifies the common idea of

that automatic link seen in proposition 3.1, between PV and localism. More than

that, I have found evidence that having high levels of geographical concentration of

votes is actually the exception, not the rule. The scenario is, indeed, far from the

assumptions that are usually made. It is true, on the other hand, that elected can-

didates generally concentrate their votes more than defeated candidates. However, I

have found that most candidates are only following the demographic distribution of

electors, what means that great part of those who concentrate votes might be only

following the geographical concentration of voters.

Regarding the pay off of each electoral geographical pattern, both concentrat-

ing votes and spreading votes proved to be profitable. Of course, it is difficult to

say whether a given distribution of the final result is the one intended by a former

deliberate strategy of a given candidate. Still, it seems that I have offered enough

evidence to sustain that in fact different territorial configurations pay off electorally,

be them designed configurations or not. Or, what is more important, there is more

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than one way to look for votes under PV were candidates able to fully control that.

There is no unique incentive for an automatic tendency of candidates under PV to

seek the formation of electoral parishes where to deliver parochial goods. Also, the

effect of concentrating votes geographically varies across the electoral circumscrip-

tions of countries. It means that in some, concentrating votes pay off much more

than in others, which is yet another evidence of the multiplicity that might exist

under a PV system.

Additionally, the results have shown that while the potential contribution of con-

centrating votes geographically, to the odds of being elected, can be very strong, in

reality it is rare that candidates achieve scores of concentration that are predicted

to really increase those odds substantively. Or in other words, geographically con-

centrated votes can be really valuable, but few are the candidates that have been

able to mine such an asset in high scale. Lastly, a side result also showed that

the partisan performance is still of great importance for the odds of being elected,

even under PV systems. There is, in conclusion, no empirical motivation to keep

assuming a link between PV and localism - an assumption that means, after all, to

assume what remains to be proven. On the contrary, there is evidence that such

relationship is less frequent, weaker or at least more nuanced. In a broader sense, my

findings suggest that we should be more aware about the meaning and the strength

of the incentives we expect from electoral institutions. Both politicians and voters

can play the institutional game, and win or loose it, in varied ways.

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3.6 Annexes

Annex 3.A – Distribution of EBMoran’s I according to additional spec-

ifications of the neighbor matrix WI×J

queen1

−0.5

0.0

0.5

1.0

Bel

gium

Bra

zil

Ecu

ador

Fin

land

Latv

ia

−0.5

0.0

0.5

1.0

queen2

−0.5

0.0

0.5

1.0B

elgi

um

Bra

zil

Ecu

ador

Fin

land

Latv

ia−0.5

0.0

0.5

1.0

queen3

−0.5

0.0

0.5

1.0

Bel

gium

Bra

zil

Ecu

ador

Fin

land

Latv

ia

−0.5

0.0

0.5

1.0

powerdist1

−0.5

0.0

0.5

1.0

Bel

gium

Bra

zil

Ecu

ador

Fin

land

Latv

ia

−0.5

0.0

0.5

1.0

doublepower

−0.5

0.0

0.5

1.0

Bel

gium

Bra

zil

Ecu

ador

Fin

land

Latv

ia

−0.5

0.0

0.5

1.0

Country

EB

Mor

an's

I

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Annex 3.B – Distribution of variables used in the main models of this

chapter

EBMoran's I

−0.

4

−0.

2

0.0

0.2

0.4

0.6

0.8

0

1

2

3

4

5

spGINI

0.2

0.4

0.6

0.8

1.0

0.0

0.5

1.0

1.5

2.0

PctPty

0.0

0.2

0.4

0.6

0.8

0

2

4

6

8

10

12

PctClosedList

0.0

0.1

0.2

0.3

0.4

0.5

01234567

NCand

2 3 4 5 6 7 8

0.0

0.1

0.2

0.3

0.4

0.5

NMunicip

2 3 4 5 6 7

0.0

0.1

0.2

0.3

0.4

Incumbent

0.0

0.2

0.4

0.6

0.8

1.0

0

2

4

6

8

Variable

Den

sity

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