Keywords
Extinction risk, Population resilience, Mate choice, Environmental stochasticity, Small
populations
Classifications: Biology, Evolution
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Abstract
Animal mating systems are hugely diverse, ranging from species where mating is essentially random
to those exhibiting complex systems of mate choice by one or both sexes. While polygyny and mate
choice are known to alter adaptation and persistence in a changing environment, there has been little
exploration of the ways that adaptation and evolutionary rescue are modulated by other types of
mating systems. We developed an individual-based model that allows random mating, female-only
choice, and mutual mate choice to be compared between monogamous and polygynous frameworks
and used it to explore how mating systems influence adaptive response, loss of heterozygosity, and
extinction risk under worsening environmental conditions. We find that mating systems interact with
population size in determining extinction risk: mate choice under polygyny lowers effective
population size, small polygynous populations with either mutual or female-only mate choice lose
heterozygosity quickly and so face higher extinction risks than randomly mating populations.
However, in larger populations where inbreeding and genetic drift are less important,
mate-choice-based polygynous systems enhance evolutionary rescue by allowing better-adapted
males to dominate reproduction, accelerating adaptation and increasing resilience to environmental
change. Among polygynous systems, female-only choice leads to slower loss of heterozygosity and
facilitates population resilience better than mutual mate choice. These findings demonstrate that
mating systems can critically shape a populationβs ability to adapt to environmental change and alter
extinction risks, emphasizing the need to consider mating systems in designing effective conservation
strategies.
Significance Statement
Environmental change threatens species survival, and sexual selection can have profound modulating
processes that determine extinction risk. Sexual selection operates in a variety of mating systems, and
the role of this diversity is often overlooked. Using individual-based simulations, we show that
mating systems with mate choice boost evolutionary rescue in larger populations via βgood genes,β
while in small populations, it has the opposite effect by elevating the loss of heterozygosity. These
Results
have critical implications for conservation biology. Conservation strategies should consider
mating system characteristics when assessing species vulnerability and planning management efforts
to support evolutionary resilience and long-term population persistence.
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Introduction
Rapid environmental change, driven by climate change, habitat destruction, and pollution, is
accelerating biodiversity loss and increasing extinction risks across taxa (1β6). Habitat fragmentation,
a pervasive consequence of anthropogenic disturbance, reduces population sizes, limits gene flow,
thus diminishing effective population size, leading to increased inbreeding, loss of adaptive potential,
and dominance of drift over selection (7, 8). Small populations are especially vulnerable to the
extinction vortex, a self-reinforcing process in which demographic, environmental, and genetic
factors interact to drive populations toward extinction. Understanding the mechanisms that either
exacerbate or mitigate this vortex remains a central challenge in evolutionary ecology (9).
Answers to questions about population persistence or extinction in the face of environmental
change have traditionally looked at ecological and demographic factors. Recently, however,
theoretical and empirical studies have demonstrated an important role for mating systems in
determining population viability: specifically, studies comparing random/ enforced monogamous
mating versus systems in which female choice or inter-male competition can operate have found
considerable differences in persistence and evolutionary rescue (10β13). Theory indicates that mate
choice in a polygynous system can have beneficial effects on population persistence by favouring
individuals with traits linked to higher condition or environmental match, promoting the spread of
beneficial alleles or removing deleterious mutations (14, 15), although the outcome may be modulated
by demographic feedbacks (13) or sexual conflict (16). A metaβanalysis of experimental evolution
studies shows that strong sexual selection on males can improve population fitness and accelerate
adaptation (17). However, comparative studies using different proxies for sexual selection strength
yield inconsistent results: some report reduced population persistence under stronger sexual selection
(18, 19), whereas others find the opposite pattern in systems experiencing anthropogenic disturbance
(20, 21), and several studies detect no clear relationship (22, 23). These discrepancies may reflect
variation in population size, the type and duration of environmental stressors, and whether studies
involve wild versus laboratory populations (24β31), but possibly could be modulated by differences
in mating systems between the species analysed.
Mating systems are extraordinarily variable across the animal kingdom, with varying degrees
of mate choice by both sexes plus a continuum from monogamous mating to fully polygamous
systems (32β34). However, how these varying mating systems could alter population resilience under
environmental change is not clear. Monogamy tends to equalize male contributions to the breeding
pool, thereby increasing effective population size and buffering populations against inbreeding and
drift (35β36). In contrast, polygynyβcharacterized by strong reproductive monopolization by a few
males and elevated male mortalityβincreases variance in reproductive success through both sexβratio
bias and overall demographic variance, reducing effective population size and potentially accelerating
genetic erosion (35β38). Mating systems can also, however, modulate the beneficial effects of sexual
selection. For example, mate choice in monogamous systems compared to polygamous systems
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increases the reproductive contribution of less attractive, lower quality males within the mating pool
(39), possibly limiting such benefits. Alternatively, mutual mate choice in monogamous systems
could lead to assortative mating with well-adapted individuals mating with each other and producing
well-adapted, vigorous offspring, while poorly adapted individuals or those carrying a large
mutational load would mate with each other, producing maladapted or otherwise unhealthy offspring,
potentially accelerating the removal of these maladaptive alleles.
Theoretical models of sexual selection under environmental change have demonstrated their
potential to increase population resilience (13, 40, 41) but did not address how differences in mating
system structure, such as monogamy versus polygyny or the direction of mate choice, affect
extinction risks. Furthermore, most models have not explicitly incorporated genetic effects such as the
loss of heterozygosity in small populations, a key process involved in generating extinction vortices
(42, 43). Fromhage et al. (44) demonstrated that in finite populations, female choice polygamy may
lead to increased inbreeding among descendants of the most successful mates but did not explore its
consequences for population resilience. Without modelling a range of mating systems while
accounting for the effects of co-ancestry of genomic regions, it is difficult to predict how sexual
selection acting via mate choice influences long-term population persistence, particularly under
worsening environments. Our work addresses these key limitations by integrating population
demography, mating system structure, and population-genetic processes within a single modelling
framework. With this model, we aim to evaluate extinction risks of populations differing in carrying
capacities and facing environmental change by comparing (i) random mating systems versus female
mate choice and mutual mate choice systems and (ii) monogamy versus polygyny.
Results
Using an individualβbased model that tracked environmental conditions, adaptation, and
heterozygosity, we compared extinction risk across a range of mating systems. The environment was
represented by a single environmental value (e), corresponding to any abiotic factor (e.g., temperature
or salinity, etc.) that could remain relatively stable or vary through time. Each individual possessed a
quantitative phenotype that determined its adaptation to the environment. Maladaptation was
quantified as the environmental mismatch (M), defined as the absolute difference between an
individualβs phenotype and the current environmental value. A separate finite-locus component of the
model tracked heterozygosity (H).
Using parameter values listed in Table
β
1, we evaluated each mating system under varying rates
of environmental changes, population sizes, costs of homozygosity, and phenotypic mismatch. Each
simulation generated two primary outputs: (i) population size dynamics, quantified as the numbers of
males, females, immatures, total and effective population sizes through time, and (ii) population
qualities with respect to the environment, including temporal changes in e, mean population
phenotype, H, and M.
Stable environments
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Under relatively stable environmental conditions (rate of directional change = 0, Fig. 1), with only
very small fluctuations in e, H declined over generations across all mating systems and parameter
combinations. The homozygosity penalty determined how strongly individuals with reduced H were
penalized and consequently how strongly selection acted against individuals with common ancestry.
The decline in heterozygosity through time depended on the penalty and was steepest when the
homozygosity penalty was set to zero. Across ranges of homozygosity penalties, polygynous systems
with mate choice showed the steepest declines in H in line with their low Nβ resulting from the
reproductive skew among males characteristic of this system. In stable environments, extinctions
occurred only at small and, much less frequently, at intermediate population sizes. Severe
homozygosity penalties increased extinction risk, and systems with mate choice were most prone to
faster and higher extinction rates (Fig.1).
Changing environments
Under changingβenvironment scenarios (directional change >
β
0), e was kept relatively stable with
small fluctuations during the initial 50 generations, allowing populations to stabilise, and then began
to change. During this initial period, the mean phenotype closely matched the environmental
optimum. Once e began to shift directionally, phenotypes followed but lagged behind the changing
optimum, in some scenarios leading to M increasing considerably with time. Rising M sometimes
reduced population sizes sufficiently to cause extinction (Fig. 2, S2, S3). At K
β=
β
500 and a
homozygosity penalty of 0.5, population sizes declined more drastically under random mating
compared to mutualβchoice and femaleβchoice systems (Fig. S3A), but in small populations (Kβ
=β
100)
with a homozygosity penalty of 1, populations under random monogamy persisted for a longer time
(Fig. S2B).
The proportions of populations that went extinct and median times to extinction at different
levels of M and homozygosity penalty are shown in Figure
β
S4. There was a general trend of lower
extinction risks in femaleβchoice polygynous systems compared to other systems at high K and, at
medium and low K, under lower homozygosity penalties. To visualise general trends, we calculated a
value referred to as resilience, defined as the rate of environmental change predicted to cause
population extinction 50% of the time; thus, higher values indicate a better tolerance for
environmental change. Conversely, a value of zero for resilience indicates extinction occurring for
that combination of parameter values even when the environment is stable.
Figure
β
3 shows resilience values across all combinations of K, mismatch penalty,
homozygosity penalty, and mating system. A complex interaction between mating systems,
population size, and homozygosity penalty was apparent. For all the population sizes modelled, when
the penalty for homozygosity was close to zero, female- and mutual-choice polygyny systems had the
highest resilience and random mating systems had the lowest, with mutualβchoice monogamy being
intermediate. As the penalty for homozygosity increased, however, these differences either
disappeared (in large populations) or reversed (in small populations), with mutual-choice polygyny
showing the lowest resilience in small-to-medium populations, female-choice polygyny and mutual
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choice monogamy converging on similar, low resilience values and the two random mating options
having the highest resilience. This interaction between population size and the cost of homozygosity
was more pronounced when the effect of phenotypic distance from the environmental optimum (the
mismatch penalty) was higher.
Discussion
The capacity of a population to adapt to environmental change and to maintain heterozygosity is a
crucial component of the persistence of small populations, but the role of the diversity of mating
systems found across the animal kingdom in shaping this capacity remains insufficiently understood.
To address this, we examined how population size, costs of heterozygosity loss, and the nature of the
mating system interact under environmental change to determine persistence using an
individual-based simulation model. In broad terms, our model shows that mate-choice systems
enhance resilience in large populations but may reduce it in small populations due to accelerated loss
of heterozygosity. Our results further reveal that within mate-choice-based systems, the
monogamy-polygamy axis is a key determinant: populations under polygynous systems exhibited
consistently higher population survival rates than monogamous systems, except when the cost of
homozygosity was high, when mutual choice polygyny had lower resilience. Within polygyny, female
choice conferred a higher resilience compared to mutual choice across all tested scenarios.
Previous theoretical works have largely compared femaleβchoice polygyny with systems
lacking mate choice but have not examined a broader array of mating systems or, critically, the
consequences of mate choice for heterozygosity loss in small populations. Our simulations show that
both these factors may have key consequences for population resilience. Polygynous systems
exhibited the most pronounced declines in heterozygosity over successive generations (Fig.
β
1, S2, S3).
As a consequence of the reduction in Nβ that arises from reproductive skew in these systems. In
contrast, mutual choice monogamous systems show comparatively larger Nβ and slower declines in
heterozygosity, despite both sexes experiencing increased mortality due to costs of signal trait
expression at the same level as in mate-choice based polygyny systems (Fig. 1, S2, S3). This pattern
suggests that the more substantial reduction in heterozygosity observed in polygynous populations is
driven primarily by reproductive skew among males. At low population sizes, this accelerated decline
in heterozygosity, and consequent exposure of recessive genetic load, may have particularly severe
consequences, leading to extinction in small populations even in the absence of additional stress, as
seen in our model, even in the absence of environmental change over 1000 generations.
Mate-choice based polygyny allows a rapid adaptive response because the best adapted males
achieve disproportionally high reproductive success (13, 14). Under sustained directional
environmental change, this more than offsets the negative consequences of mate-choice-based
polygyny on Ne and heterozygosity. In large populations, therefore, or when homozygosity penalty
was low, mate-choice based polygyny resulted in better resilience compared to monogamy (Fig. 3).
This increased rate of adaptation is, however, insufficient to buffer small populations from extinction
when homozygosity penalty is high, hence the lower resilience shown by mate choice polygynous
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systems. These findings highlight how demographic decline, heterozygosity erosion, and reduced
adaptive capacity interact to determine persistence under environmental stress. They also help explain
why empirical and comparative studies report inconsistent effects of sexual selection on population
viability (10β13, 18, 19). Our work suggests that future analyses should include mating systems,
population size, and heterozygosity as potential variables accounting for these varying outcomes.
Monogamy is common in birds (45) and in many other taxa (46), and mutual mate choice
likely occurs in many of these systems. An important question regarding this understudied mating
system is how it affects population persistence, especially under environmental change. As mentioned
in the introduction, with mutual mate choice, there is the possibility for well-adapted males and
females to pair up and thereby produce extremely well-adapted βsuperβ offspring, but whether this
would increase adaptation more than in, for example, female choice polygyny is not intuitively clear.
Our results show that when the cost of homozygosity is small, or populations are relatively large,
mutual choice monogamy leads to resilience that is intermediate between random mating and
mate-choice polygyny systems. In small populations with high homozygosity penalties, the additional
mortality arising from signalβtrait expression in both sexes can diminish the resilience of
mutualβchoice monogamous systems, making them less robust than randomβmating populations where
such costs do not occur. One limitation of the present model that is relevant here is that it does not
include the potential for extra-pair copulations, which are common in many socially monogamous
systems (47), which could alter this result; this will be the subject of a future study.
Differences in the direction and symmetry of mate choice further refine our understanding of
these broader dynamics. While comparing polygynous systems, in systems with femaleβonly choice,
signalling costs fall solely on males, increasing male mortality without directly affecting female
survival. In mutualβchoice systems, signalling costs occur in both sexes (48β50), producing more
balanced sex ratios and reduced reproductive skew (51, 52). However, costs incurred by females
Result
in higher female mortality under mutual mate choice compared to female-only choice (Fig. 2,
S2, S3). Since reproductive output is limited by the number of surviving females, mutualβchoice
systems consequently may generate fewer offspring than femaleβchoice systems, increasing the risk of
populations not being able to maintain the size admitted by carrying capacity.
Previous models investigating extinction risk in small populations under stable conditions
have likewise shown that elevated female mortality reduces resilience and increases vulnerability to
demographic stochasticity (53β55). These outcomes due to elevated female mortality are further
highlighted in the recent empirical work under environmental change (56). Our model extends these
findings by incorporating heterozygosity dynamics, which earlier behavioural models did not include.
We note that a similar level of female mortality to that in mutual-choice polygamy occurs in
mutual-choice monogamy. The reasons why these two systems nevertheless differ in resilience further
attest to the role of reproductive bias causing these differences, as discussed above.
Ultimately, whether a mating system enhances resilience or increases extinction risk depends
on how it interacts with population size and genetic processes. Our findings show that mating systems
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can shape demographic and evolutionary trajectories in contrasting ways, sometimes accelerating
adaptation, and other times amplifying vulnerability through reduced Nβ, increased heterozygosity
loss, or sexβspecific mortality. Recognizing this duality is essential for forecasting population
persistence under environmental change. Our model does not incorporate sexual conflict, which may
alter population responses (16, 56β58). Future extensions should include additional mating systems
such as polyandry and social monogamy. Integrating matingβsystem diversity, reproductive skew,
sexβspecific costs, and mating opportunity structure will improve predictions of species resilience and
inform conservation strategies in rapidly changing environments.
Methods
We developed an individual-based simulation model to explore the dynamics of mate choice
strategies, including symmetric (mutual mate choice), asymmetric (female-only choice), and random
mating, with monogamy and polygyny under varying environmental conditions. The model simulates
a spatially homogeneous population of individuals defined by their genetic architecture and sexual
traits, evolving over discrete time steps, following the ODD protocol for individual-based models
(59). Implemented in R (version 4.5.2) (60), the model operates across three hierarchical levels
(individual, population, and environment), each characterized by state variables that interact
dynamically. Variables and formulas used are additionally described in tables S1 and S2, and the
schematic flow of the model is described in Figure S1.
The model is coded in a single function, consistent with R-based simulation guidelines (61).
The population starts with an initial number of individuals equal to the carrying capacity K, with
probabilistically likely balanced ages uniformly distributed between 1 and 10. Each individual is
defined by state variables: survival status (alive or dead), sex, age, genotype, phenotype,
heterozygosity, environmental mismatch, and a sex-specific signal trait. In order to model both
adaptation and changes in heterozygosity within the manageable computational power required, we
use a mixed framework to model the genetic architecture of the system. Each individual thus has two
heritable components to its biology: the single value that determines adaptation to the changing
environment and an array of markers that trace co-ancestry of unlinked genomic regions that allows
us to model changes in heterozygosity.
Traits such as thermal tolerance are often highly polygenic: as an example, Williams-Simon et al. (62)
compared RNA-seq data for high and low thermal tolerance lines of Drosophila melanogaster and
found differential expression at 2,642 loci. A finite-locus model with a realistic number of loci in an
individual-based framework would be computationally challenging, hence our adoption of this mixed
approach. To model adaptation, we use an approach based on Fisherβs infinitesimal model. Phenotype
is a continuous trait drawn from a normal distribution (mean = 0.2, sd = 0.1) at initialization,
representing a trait under selection, with the optimum value depending on the environment (see
below). The offspring phenotype was inherited as the average of parental phenotypes plus a normal
mutation (sd = 0.01).
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To model the effects of loss of heterozygosity, following Fromhage et al. (44) we included a
component consisting of 50 diploid unlinked loci, each with two alleles (unique integers from 1 to
1000), initialized randomly. Offspring genotypes were generated following Mendelian inheritance
principles, in which one allele is randomly inherited from either of the strands from each parent at
every locus (63). This was used to calculate heterozygosity (H) as the proportion of loci where the
two allelic strands differ. 1-H thus measured co-ancestry across unlinked genomic regions, and thus
the probability of deleterious recessives in these regions being homozygous and thus exposed to
selection, but the loci themselves did not contribute to the individualβs phenotype when considering
environmental adaptation. We assume the populations we model to be a result of a fragmentation with
initial high population sizes under stable environments evolving for some time. We therefore initiate
our populations as completely outbred ones with starting heterozygosity of ~ 1. We aim to track the
population right after fragmentation has occurred.
The environment is represented by a single variable, e, initialized at 0.2. Environmental M is
the absolute difference between an individualβs phenotype and e (7). Upon reaching sexual maturity
(age β₯ I = 2), individuals develop a sex-specific signal trait, calculated as:
ππππππ π‘ππππ‘ = 0.5
1+ πππ πππ‘πβ ππππππ‘π¦Γπ+βππππ§π¦πππ ππ‘π¦ ππππππ‘π¦Γ 1βπ» ( )( )ΓΞ±
where the mismatch penalty and homozygosity penalty are variable parameters scaling environmental
mismatch and heterozygosity effects, and Ξ± (condition dependence, Ξ±m for males, Ξ±f for females, both
set to 2) determines the traitβs sensitivity to these factors. The homozygosity penalty in our model can
be interpreted as the effect which exposure of deleterious recessives to selection has on fitness, i.e. the
strength of inbreeding depression (64).
At each time step, the environmental variable e changes according to the rate of
directional change. For directional rate set to zero e fluctuates randomly (uniform distribution, range
Β±0.02); otherwise, it follows the same random fluctuation for the first 50 time steps and then increases
with a mean directional rate plus random variation (normal distribution, standard deviation Β±0.003).
Extinction occurs if the population size reaches 0 or no individuals of one sex remain, at which point
the simulation terminates, and the extinction time is recorded (7).
Each time step, individualsβ ages increase by one, and mismatch and signal traits are
recalculated based on the current e. Survival probability is determined as:
π· = ππππ ππ‘π¦ β πππ πππ‘πβ ππππππ‘π¦ Γ π + βππππ§π¦πππ ππ‘π¦ ππππππ‘π¦ Γ 1 β π»( ) + π πππππ π‘ππππ‘| | Γ πππ π‘( )
where density = K / population size, mismatch penalty and inbreeding penalty are variable, and cost
(cost.m for males, cost.f for females) represents the survival cost of expressing the signal trait.
Immature individuals (age < I) are exempt from signal trait costs. Individuals die if a random draw (0
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to 1) is less than or equal to their death probability. Dead individuals are removed, and the population
is checked for extinction each time step.
Mature individuals (age β₯ I) form mating pairs based on the mating system (mating system,
either monogamy or polygyny) and signal trait preferences (Ξ²m for males, Ξ²f for females). Adjusting
the values of Ξ² allows us to determine the mating system. For example, if Ξ²m = 0 and Ξ²f = 5, the
system is one with female choice but no male choice; if both Ξ²m and Ξ²f are equal to zero, the mating is
random, and if both are 5, there is a degree of mutual choice. A cost for the signal trait expression of
0.25 was borne by the sex opposite to the one exerting the preference; otherwise, the cost was set to
zero, resulting in the signal trait not having any effect even if it was calculated.
Females are assigned to mating groups (maximum number of females in a group = 10), and
males are randomly distributed across these groups. For female choice systems (Ξ²f = 5, Ξ²m = 0), males
assigned to each group are ranked, highest to lowest, by the degree of expression of the signal trait,
and for mutual choice systems (Ξ²f =50, Ξ²m = 0), both males and females are ranked (Petrie et al.,
1991). Females select mates with probabilities:
ππ =
ππ
βΞ²π
π=1
π
β ππ
βΞ²π
, βπππ Ξ²π > 0
or uniformly (1 / group size) if Ξ²f = 0, Pi is the probability that the female chooses male I, and pi is the
maleβs rank. Males follow a similar process if Ξ²m > 0.
In the monogamy treatment, group sizes were equalized by removing the more abundant sex
with the lowest signal trait values in the group to ensure one-to-one pairing. In the polygyny with
female choice, males were allowed to mate with multiple females, whereas each female mated only
once in all mating systems. This model does not include polyandry or femaleβchoice monogamy,
because our model structure would have produced outputs equivalent to polygyny (for polyandry) or
random monogamy with costly signalling (for femaleβchoice monogamy), the latter being unlikely to
represent an evolutionarily stable strategy.
Fecundity is calculated as:
ππ’ππππ ππ ππππ πππππ = π Γ 1 β ππππ πππππ ππππππ‘π¦
ππππ πππππ ππππππ‘π¦+1( )
where O = 5 is the maximum offspring. In monogamous systems with mutual mate choice, offspring
fecundity and survival depend on the contributions of both parents (65), as mutual choice arises from
shared parental investment in offspring (66β71). Accordingly, we modelled parental care as an
offspring penalty determined by the mismatch and heterozygosity of both parents in mutual-choice
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monogamous systems. In contrast, in all other mating systems, the penalty depended only on maternal
traits.
Biparental care:
ππππ πππππ ππππππ‘π¦ = πππ πππ‘πβ ππππππ‘π¦ Γ ππ+ππ
2( ) + βππππ§π¦πππ ππ‘π¦ ππππππ‘π¦ Γ 1 β π»π+π»π
2( )
Uniparental care:
ππππ πππππ ππππππ‘π¦ = πππ πππ‘πβ ππππππ‘π¦ Γ ππ( ) + ππππππππππ ππππππ‘π¦ Γ 1 β π»π( )
Where Mf is the motherβs mismatch, Mm is the fatherβs mismatch, Hf is the motherβs heterozygosity,
and Hm is the fatherβs heterozygosity.
The actual number of newborns is then determined via a binomial process with birth probability b =
0.5 (to keep the number of offspring in check according to K). Offspring are added to the population,
and the effective population size is computed based on the variance in reproductive success among
males and females (adults).
All simulations were run on the University of Hull βViperβ high-performance cluster using the R
packages foreach (72) and doparallel (73). The final simulation runs were replicated 50 times for each
parameter combination for all mating systems. The parameters for mating systems were set according
to Table 1. The model was run for all mating systems (Table 1) with a range of carrying capacities,
rates of directional change, mismatch, and inbreeding penalties (as described in Table S1).
Acknowledgements
and Funding sources
We would like to thank Mateusz Konczaal for his insights on the population genetics part of the code.
The project was funded by a grant from NCN UMO-2020/39/B/NZ8/00152/4 to J. Radwan, R.J.
Knell and T.C. Cameron.
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Figures and Table
Figure 1. Median (population) heterozygosity averaged over 50 simulations per parameter
combination across a thousand timesteps, under different mating systems with no environmental
change and zero mismatch penalty (M = 0). Vertical panels represent different carrying capacities (K),
while horizontal panels show varying homozygosity penalties (H). Heterozygosity is calculated only
for populations that persisted (i.e., did not go extinct) until respective timesteps. Blue lines represent
monogamy and orange lines represent polygyny in mating systems. Random, mutual choice and
female choice mating systems are indicated by solid, dashed and dotted lines respectively. Each
parameter combination was run 50 times and the median population heterozygosity was recorded for
every 25 time steps.
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Figure 2: Example outputs from simulation runs for each type of mating system when directional rate
= 0.002. A-C tracking the population demography. D-F tracks the environment, and the population
qualities with respect to the environment. A and D, shows random mating polygyny. B and E, shows
mutual choice monogamy. C and F, shows female choice polygyny. All three simulation runs were run
with K = 250, time steps = 200, mismatch penalty = 5 and inbreeding penalty = 0.5.
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Figure 3. Rate of environmental change, predicted to result in 50% extinction expressed as resilience
(y-axis), across parameter combinations and mating systems. Homozygosity penalties (H) are plotted
on the x-axis. Vertical panels represent different mismatch penalties (M), while horizontal panels
show varying carrying capacities (K). Blue lines represent monogamy and orange lines represent
polygyny in mating systems. Random, mutual choice and female choice mating systems are indicated
by solid, dashed and dotted lines respectively. Each parameter combination was run 50 times.
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Table 1: Parameter values assigned for different variables for different mating systems.
Choice System Female
Preference
for Males
(Ξ²f)
Male
Preference
for Females
(Ξ²m)
Mating
System
Parental
Care
Female
Signal
Trait
Cost
Male
Signal
Trait
Cost
Random
Monogamy
0 0 Monogamy FALSE 0 0
Mutual Choice
Monogamy
5 5 Monogamy TRUE 0.25 0.25
Random Polygyny 0 0 Polygyny FALSE 0 0
Female Choice
Polygyny
5 0 Polygyny FALSE 0 0.25
Polygyny with
Mutual Choice
5 5 Polygyny FALSE 0.25 0.25
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