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354 Journal of Vector Ecology December2010
Estimating reaction norms for predictive population parameters,
age specific mortality, and mean longevity in temperature-dependent
cohorts of Culex
quinquefasciatus Say (Diptera: Culicidae)
Filiz Gunay, Bulent Alten, and Ergi Deniz Ozsoy
Hacettepe University, Science Faculty, Department of Biology,
Evolutionary and Ecological Genetics Laboratory, 06800 Beytepe,
Ankara, Turkey
Received 11 March 2010; Accepted 18 July 2010
ABSTRACT: Culex quinquefasciatus plays a major role in the
transmission of important parasites and viruses throughout the
world. Because temperature is an important limiting factor on
growth and longevity of all mosquito species, estimating the
reaction norms provides very important basic information for
understanding both plasticity and individual variations of the
population. In the present study, Cx. quinquefasciatus were
maintained at five different constant temperatures (15, 20, 23, 27,
and 30C) for two subsequent generations. Reproductive population
parameters in blood-fed mated females and longevities of virgin and
blood-fed mated adults reared at different temperatures were
compared for the two generations. Longevity increased as
temperature decreased within a range of 15 to 30C for the unmated
adults, and 15 to 27C for the mated and blood-fed adults.
Generation times were as long as 124.07 and 106.76 days for two
subsequent generations reared at 15C, and the highest intrinsic
rate of increase (rm) values were estimated at 0.22 and 0.18,
respectively, from the cohorts reared at 27C. For survival rates,
reproductive rates (R0), and rm values, 30C was found to be a
critical temperature for this species. These cohorts produced the
smallest amount of eggs (R0= 5.06), rm values decreasing across
generations (from 0.11 to 0.06), and the survival rates from egg to
adult were found to be insufficient (16.1 and 10.8%). Additionally,
the rate of exponential increase with age and age specific
mortalities (b) were calculated for the virgin cohorts. Age
specific mortality rates increased as temperature decreased. The
increase in mortality rates started to accelerate at 27C and was
more pronounced at 30C, for both females and males. We estimated
the coefficients of variation for the b values in which females
have smaller coefficients than those of the males at all
temperatures. Journal of Vector Ecology 35 (2): 354-362. 2010.
Keyword Index: Culex quinquefasciatus, temperature, variation,
life table traits, longevity, age specific mortality.
INTRODUCTION
Life-history theory in evolutionary biology (Roff 1992, Stearns
1982) is a theory of fitness. The information regarding life
history traits of organisms, from experiments carried out under
laboratory conditions, could provide us with sound predictions of
the expressions of their genetic potential, and thus could
establish baselines for subsequent field studies. A fitness
framework enables generalizations to be made not only for the
species under study, but also for other species that could have
been subjected to similar selective pressures (Nylin and Gotthard
1998).
The reaction norm is used to quantitatively model the dependence
of fitness-related characters on environmental parameters such as
ambient temperature and nutrition (Stearns 1982). Therefore, it
defines phenotypic plasticity. As a generally accepted guideline,
increased temperature results in higher growth rates, shorter
development times and longevity, and smaller adult size in insects
and other ectotherms (Sibly and Atkinson 1994, Li and Jackson 1996,
Worthen 1996). Estimating the reaction norms in response to these
components, such as temperature variations effecting distribution
area of a given population, provides important basic information
for understanding both plasticity and individual variations of the
population.
The mosquito, Cx. quinquefasciatus Say 1823, plays a major role
in the transmission of bancroftian filariasis, Chikungunya, West
Nile, and St. Louis encephalitis world-wide. The species is widely
distributed in the tropical and subtropical areas of the world from
the Nearctic region to the end of the Palearctic region. It occurs
in all climatic zones, and altitude does not appear to limit its
distribution (Bhat 1975). Although waste water is a major larval
habitat, this species can develop in virtually any type of aquatic
habitat in the human environment. Females of Cx. quinquefasciatus
generally feed indoors or outdoors on human blood. Because of these
characteristics, Cx. quinquefasciatus is a good model organism to
study predictive life traits in relation to reaction norms.
The effects of temperature on the development of Cx.
quinquefasciatus have been reported previously (Shelton 1973,
Suleman and Reisen 1979, Rayah and Groun 1983, Service 1986, Rueda
et al. 1990, Mogi 1992). In this study, the effects of constant
temperatures on life table traits of Cx. quinquefasciatus were
determined. Longevity comparisons were also designed to reveal the
reaction norms of the adults with respect to the different constant
temperatures at which they developed. For this reason, as well as
the life table mortality outcomes, virgin adult cages were prepared
to exclude effects of mating and blood feeding on mortality.
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Vol.35,no.2 Journal of Vector Ecology 355
Age specific survivorship
yx = the number of females or males on each day, x.
Net reproductive rate per cohort
Age of mean cohort
reproduction
Intrinsic rate of increase
Maximum likelihood estimations of the rate of increase in age
specific mortality (b parameter of the Gompertz function) were
calculated in virgin Cx. quinquefasciatus cohorts. Variation in age
specific mortality in response to temperature was defined in terms
of a reaction norm after one generation of rearing.
MATERIALS AND METHODS
Maintenance of the colony in the laboratory The lab colony used
in this study was previously reared
in France (ISEM) but originated in California in the 1980s. Egg
rafts from the colony were transferred to the Ecological Research
Laboratory at Hacettepe University (ESRL) in Ankara, Turkey, in
2005. The rearing and feeding of adults and larvae followed the
methods of Kasap and Kasap (1983) with a temperature 271C, 605 RH%,
and 14:10 h (L:D) photoperiod. Individuals used in the experiments
were obtained from the same generation (F30) to avoid the effects
of genetic differences between generations.
Maintenance of cohorts in the climate chambers Age-specific
(horizontal) life tables were constructed
to determine whether temperature affects the basic demography of
Cx. quinquefasciatus adults. Three replicates of 750 1st instar
larvae were transferred into standard polyethylene cups (27x16x17
cm) that contained 1 liter of distilled water. The cups were placed
in five climate chambers programmed at five different temperatures
(15, 20, 23, 27, and 30C) and exposed to a 14:10 (L:D) photoperiod
with a constant relative humidity of 60%. The larvae were fed each
day with 0.04 g sinking Tetramin, which was spread evenly over the
water surface. Pupal development and the number of pupae present
were checked daily. All pupae were transferred to glass vials
before eclosion. For the virgin adults, female (100 individuals)
and male (100 individuals) cages were prepared separately, with
each chamber containing 30% sucrose solution, for the estimation of
the rate of exponential increase in mortality with age (the b
parameter of the Gompertz function). In this experiment, females
were not blood-fed. In another experiment, 100 females and 100
males were placed together in 20x20x20 cm cloth cages containing
plastic cups with distilled water as oviposition sites. Females fed
on quail blood every four days for 2 h. Experiments were replicated
three times for each temperature regime. This procedure was
followed for two subsequent generations.
Life tables and statistical data analysesHorizontal life table
parameters were calculated from
daily records of mortality and fecundity of each cohort of Cx.
quinquefasciatus. Life table attributes of adult mosquitoes, the
calculation procedures, formulae used, and their rationale in the
present study were according to Belen and Alten (2005) and
summarized in Table 1.
Homogeneity of the data was tested with the Shapiro Wilk test
and the predictive population parameters were compared using the
non-parametric Kruskall-Wallis test.
xlx mx /R0
lxmx
lx= yx/yo
m is the mean number of female progeny produced by females of
age x. The value of mx was calculated by mx=Exs where Ex is the
mean number of eggs produced per female per age x, and s=the
proportion of the offspring (eggs) that were females.
starting at x=1, the day of adult emergence.
l, m, w are as above, e is the base of natural logarithms, x is
the age interval, lxmx is the product of the survivorship of each
cohort female by its fecundity at an age x.
lxmxe-rmx
Table 1. Life table attributes used in this study and their
rationale.
Age specific mortality parameters from the Gompertz function
(Gompertz 1825), i.e., the baseline mortality rate (a) and the rate
of exponential increase in mortality with age (b), were estimated
with the virgins, per sex per treated temperature, by the method of
Pletcher (1999). A likelihood X2 ratio test with 1
degree-of-freedom (only b was constrained) was performed to assess
statistical significance.
RESULTS
The survival rates of the immature stages from egg to adult are
shown in Table 2. The highest survival rates were from the cohorts
at 23C and the lowest rates were seen at the highest temperature
condition (30C) for both generations.
Separate adult life tables were constructed for each of the
cohorts reared under different temperature regimes for two
subsequent generations, and predictive population parameters (R0,
Tc, rm) were also calculated. The results are compared in Table 3
for the first and second generations. While the net reproductive
rate, R0 was lowest at the highest temperature for two subsequent
generations, the highest value was calculated from the cohort
reared at 23C while it decreased at the second generation. As a
specific observation, at this temperature males lived longer than
expected, which could mean the death caused by mating was lower. R0
value was found to be slightly higher (52.31) at 15C than at 27C
(50.22), which is the laboratory
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356 Journal of Vector Ecology December2010
optimum for the first generation, but it decreased to 37.23 for
the second generation at the lowest temperature (15C). In spite of
these differences, for both generations there was no discrepancy
between the temperatures and R0 values statistically (p=0.1377,
p=0.0581). At the lowest temperature, the generation time, Tc, was
found to be almost three months (106.76 days) for the first, and
four months (124.07 days), for the second generation. Tc showed a
negative correlation with the temperature, except at 30C for both
generations and at 23C for the second generation, in which the
females produced fewer eggs than expected. There was a significant
difference between temperatures and Tc values for the first
(p=0.0102) and second (p=0.0193) generations. For generation times,
the greatest significant difference was between 15 and 27C
(p=0.0101, p=0.0127, respectively) for both generations among all
cohorts.
Although the R0 values were greater at 15C than at 30C in the
first generation, rm, the intrinsic rate of increase gave the
opposite outcome. Another important point was that the rm value
decreased in the course of one generation at 30C. The highest value
was calculated from the cohorts at 27C, and the differences between
the cohorts for both generations are statistically significant
(p=0.0159; p=0.0164, respectively).
Interaction between longevity and temperature variation is shown
in Table 5 and Figure 1 for mated (life table experiments) and
unmated females and males of the second generation. For mated
sexes, longevity was significantly affected by temperature and by
sex, but there were no significant differences between replicates
(Table 4).
While the longevity of Cx. quinquefasciatus was normally higher
at lower temperatures, the mean longevity of both female and male
adults was clearly low at extremely high temperatures (Table 5).
Although there were no significant differences between the
replicates, differences were obtained between females and males of
the temperature-dependent cohorts (Table 5, Figure 1). The
males demonstrated a significantly shorter longevity than
females at all temperatures (p
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Vol.35,no.2 Journal of Vector Ecology 357
respectively) except that of 23C which was not significant (X2=
0.1986, p= 0.6558). In contrast to the general trend of females
that showed lower age specific mortality rates than males presented
above, an opposite pattern was found for the adults at 27C. Mean
longevity of the females and males at this temperature were very
similar, unlike those from the other temperature regimes.
Figure 2 also shows the coefficient of variation (CV) of the b
between the temperatures for each sex. Females had less variability
than males at all temperature conditions. At 27C, the optimum
temperature of the laboratory colony,
both females (0.286) and males (0.357) had smaller variation
coefficients than those of the other temperature regimes.
DISCUSSION
Although there have been many studies on the effects of
temperature variation on the pre-adult and adult stages of
mosquitoes, few have collected data in the appropriate form and in
sufficient detail to provide a distribution of values required for
calculations in mathematical models or estimates for
temperature-dependent development (Gomez et al. 1977, Suleman and
Reisen 1979, Mogi 1992, Su and Mulla 2001). Our results showed Cx.
quinquefasciatus is a good model organism to study the predictive
life traits in relation to reaction norms of the temperature
variation affecting populations.
All of the temperature regimes we used affected re-productive
parameters. Even though the main colony was reared at 27C, the
optimum temperature on the basis of fecundity was 23C for the
first, and 20C for the second, generations. Nevertheless, there was
no significant differ-ence between the cohorts for R0 values for
both generations (p=0.1377, p=0.0581, respectively). As for the rm,
the opti-mum temperature was 27C for the two consecutive
gen-erations. It is well known that one of the most valuable
ap-plications of the intrinsic rate of increase concept is in the
delineation of the livable environment of a species (Vargas et al.
2000). Similar to the rm values calculated from differ-ent
populations around the world (Walter and Hacker 1974, Gomez et al.
1977, Suleman and Reisen 1979), rm values in our study were also
found to be positive under a wide range of temperature regimes (15,
20, 23, 27, and 30C), so
Table 4. General linear model for the effects of temperature,
replicate and sex on longevity from life table experiments with
mated + blood-fed adults of Cx. quinquefasciatus.
MS d.f. F PReplicate 899.0 2 1.3 0.267
Sex 527,975.0 1 775.9
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358 Journal of Vector Ecology December2010
Figure 1. Box and Whisker plots of longevity (+1 SE) for mated +
blood-fed and virgin adults of Cx. quinquefasciatus (a), survival
curves of mated and blood-fed females and males (b), virgin females
and males (c) at five different constant temperature (15C, 20C,
23C, 27C and 30C). Data were pooled across replicates (fm: female,
m: male).
A
B
C
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Vol.35,no.2 Journal of Vector Ecology 359
we can conclude that Cx. quinquefasciatus may increase its
population size under all these temperature conditions but with
some differences. This is one explanation for why the species has
the ability to disperse widely in nature.
Minimal and maximal temperature thresholds for embryonic
development of Cx. quinquefasciatus are 13 and 39C, respectively.
The hatching rate varies directly with temperature, up to 32C,
after which eclosion rates drop gradually (Rayah and Groun 1983).
We found that at 15C, this species could complete its life cycle
with a positive rm and a very long generation time (124.07 days)
(Table 3). Suleman and Reisen (1979) have shown that this species
could overwinter in Pakistan, in a gonoactive state, with females
emerging during late autumn, persisting through the cold winter
months and into early spring. Overwintering strategies of this
nature coupled with a high degree of human and bird feeding seemed
to indicate that this species could provide an overwintering
mechanism for West Nile Virus and perhaps for other disease agents
(Suleman and Reisen 1979). Regarding the variety of the viruses
transmitted by this species (Jozan et al. 2003, Kilpatrick et al.
2007, Peterson et al. 2008), our results suggest that Cx.
quinquefasciatus can overwinter in cooler areas than Pakistan
(Lanciotti et al. 1999, Epstein 2000, Githeko et al. 2000,
Kilpatrick et al. 2004, Hayes et al. 2005).
According to McCann et al. (2009), better larval conditions
result in females capable of greater reproductive output. In the
present study, the most suitable condition in terms of survival
rates for the immature stages was found to be 23C (Table 2). In the
second generation at 23C, we observed unexpected results. We were
expecting to find a greater R0 value at 23C, and indeed obtained it
for the first generation (Table 3), but in contrast, the R0 value
was found to be lower, and the Tc was longer, for the second
generation at the same temperature regime. One of the factors that
can
affect the observed decrease in R0 and rm is the production of
offspring at an older age (Futuyma 1998). Since we detected a delay
at the second generation, this factor may be responsible for the
decrease in these parameters and consequently in the increase of
mean longevity of the adults, eventually in Tc. Similar results
were found at 30C temperature regime for both generations. These
unexpected values of R0 and rm may also be the result of high
mortality among the cohort females that lived a maximum of 51 days
and started to reproduce at the age of 21, while the females that
lived at the optimum temperature laid eggs on the seventh day of
emergence (not shown). Even though at the coldest temperature rm
values were found to be smaller than those of the hottest for both
generations, rm increased with temperature increases for both
generations, but it was significantly decreased at 30C (Table 3).
Changes in the rm matters strongly for understanding the fitness
and permanency of the cohorts (Tatar 2001, Simsek et al. 2005).
These findings suggest that extremely warm temperatures could be
more detrimental, and possibly more limiting, than cold
temperatures for this species. For life span, the specific patterns
were mostly as expected and thus in agreement with the general
notion of pronounced differences between different rearing
temperatures (Tatar 2001). Like many of the previous studies, the
pattern of increasing life span of cohorts at low temperatures was
evident in both mated and unmated cohorts as shown previously (Su
and Mulla 2001, Norry and Loeschcke 2002, Gilles et al. 2005, Kasap
and Alten 2006, Aytekin et al. 2009, Karl and Fisher 2009). This
frequent pattern is related to increasing metabolic rates with
increasing temperatures in ectotherms, with higher metabolic rates
in turn being correlated with shorter life spans (Karl and Fisher
2009). Life table experiments at the highest temperature (30C) for
mated and blood-fed adults (Table 5) yielded a higher corresponding
adult
Figure 2. Exponential increase curves in age specific
mortalities (b values x 10-2) and coefficients of variation (CV) at
five different constant temperatures in Cx. quinquefasciatus.
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360 Journal of Vector Ecology December2010
longevity. Likewise, Rueda et al. (1990) found the same decrease
in lifespan in both Cx. quinquefasciatus and Aedes aegypti from 15
to 27C, but an increase at 30 and 34C. Interestingly, this trend
was not determined in unmated cohorts in our study. On the other
hand, Shelton (1973) showed that in the immature stages of Cx.
quinquefasciatus, longevity increased while the temperature
decreased in the range from 20 to 26C, but at 32C, longevity
increased. Because even the immature stages show this response to
the highest temperature, it might be expected that unmated adults
would show the same reaction. We estimate that this could have
occurred with the effect of mating as a specific trend. Perhaps
there was a trade-off between the rise of temperature and the
decrease of longevity in which, after some specific temperature is
reached, some buffering physiology of the organism may be
overturning the negative relationship between the temperature
increase and the longevity. It is thus possible that some overall
metabolic and genome expression changes could be linked to the
mating status of aging flies at higher temperatures, as mating
accelerates aging in general.
The longevity of a vector population is an extremely important
facet of its vectorial potential. Longevity patterns in Cx.
quinquefasciatus varied between sexes, with females living longer
than males, as are found in many other animals (Smith and Warner
1989, Nuzhdin et al. 1997). Males generally appear to sacrifice
viability for enhanced sexual performance, whereas females may
benefit by investing more in immunity and longevity (Rolf 2002). As
a rule, large animals tend to live longer than small animals
(Lindstedt and Calder 1976, Speakman 2005), which may also have an
impact on the pattern found in Cx. quinquefasciatus, as adult
females are larger than males at all constant temperatures (data
not shown). Sex differences were affected by temperature. While
males and females showed similar life spans at the higher
temperature, females lived much longer than males at the lower
temperatures. This suggests that females may have an enhanced heat
tolerance compared to males, which has already been shown in
Drosophila (Sorensen et al. 2001, Jensen et al. 2007). Mating and
blood feeding have important effects on adult survival (Yuval
2006), and that it is shown once again in this study. In what may
be somewhat aberrant results at 30C, virgin adults did not live as
long as those that were mated and blood fed, suggesting that
temperature stress combined with blood deprivation and the
inability to find mates caused an enhanced death rate.
We have excluded the effects of mating and blood feeding and
examined the longevity of the virgin individuals to observe the
reaction norm in response to temperature variation. Using the
Gompertz function, we estimated a, initial mortality rate, and b,
exponential rate of increase with age (Pletcher 1999). In general,
total vectorial capacity is more sensitive to changes in b than a,
which is understandable because b is exponentially, whereas a is
multiplicatively, related to overall mortality. As overall
mortality increases, the potential for mosquito populations to
transmit pathogens declines (Styer et al. 2007).
Supporting our findings, Cx. quinquefasciatus adults have more
vectorial importance at relatively low temperatures (15 and 20C).
Tests indicated that with increasing temperature, the exponential
rate of increase in mortality increased as we expected. Females at
higher temperatures (27 and 30C) showed considerably higher b
values than at lower temperatures. The reaction norm is a basic
tool of evolutionary analysis that quantifies the relationship
between environmental parameters and functional characters,
including reproduction and longevity (Phelan and Rose 2006). In our
study, the reaction norm relating the exponential rate of increase
in age specific mortality to ambient temperature was fairly steep
(Figure 2), especially for males at 30C. In addition, except at the
middle temperature of 23C, there was a significant difference on b
values at every constant temperature for adults. Variation
coefficients of the b parameter suggest that the population is
strongly adapted to 27C and females give more stable reactions than
males.
Temperature may also affect the vectorial capacity and changes
in the population densities of species (Olejnicek and Gelbic 2000).
We conclude that temperature is a crucial factor in the evolution
and ecology of Cx. quinquefasciatus. As climate changes could cause
some unexpected effects on the dispersal of disease (Epstein 2000),
our results show that this species is also a good candidate in this
respect across its distribution range.
Acknowledgments
We thank Dr. Utku Perktas and Murat Ylmaz for their help and
support. This study is part of an MSc thesis submitted to Hacettepe
University.
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