Top Banner
1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de Madrid Spain
26

1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

Dec 16, 2015

Download

Documents

Mary Potter
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

1

CLUSTER ANALYSIS OF EUROPEAN DAILY

TEMPERATURE SERIES: AN EXTREME VALUE APPROACH

Andrés M. Alonso Departamento de Estadística

Universidad Carlos II de MadridSpain

Page 2: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

2

JOINT WORK WITH

Page 3: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

3

OUTLINE OF THE TALK

Page 4: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

INTRODUCTORY REMARKS

Page 5: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

INTRODUCTORY REMARKS

Page 6: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

MAIN PURPOSE

Page 7: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

TIME SERIES CLUSTER METHODOLOGY

Page 8: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

8

TIME SERIES CLUSTER METHODOLOGY

Page 9: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

9

COMPUTATION OF THE PDF’s

Page 10: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

10

COMPUTATION OF THE PDF’s

Page 11: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

11

COMPUTATION OF THE PDF’s

Page 12: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

12

COMPUTATION OF THE PDF’s

Page 13: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

COMPUTATION OF THE PDF’s

13

Our parameter of interest will be the quantile xp for a specified exceedance probability p

Assuming that the Generalized Extreme Value corresponds to the annual maximum.

Then, roughly speaking, xp is the return level that is associated with the return period 1/p for small p, in unit of years.

Page 14: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

14

COMPUTATION OF THE PDF’s

Page 15: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

15

COMPUTATION OF THE PDF’s

Page 16: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

COMPUTATION OF THE PDF’s

Page 17: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

17

COMPUTATION OF THE PDF’s

Page 18: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

18

DISSIMILARITY MATRIX

Page 19: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

Exploring the European Climate Assessment dataset

Page 20: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

Exploring the European Climate Assessment dataset

Page 21: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

21

TEMPERATURES

Page 22: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

RESULTS

Page 23: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

RESULTS

Page 24: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

24

DENDROGRAM FOR 25-YEARS RETURN VALUES (AVERAGE LINKAGE METHODS)

Page 25: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

CONCLUSIONS

Page 26: 1 CLUSTER ANALYSIS OF EUROPEAN DAILY TEMPERATURE SERIES: AN EXTREME VALUE APPROACH Andrés M. Alonso Departamento de Estadística Universidad Carlos II de.

REFERENCES