BACKGROUND
dispersal affects fundamental processes in ecology and evolution such as gene flow, genetic drift, and inbreeding.
however, the evolution and regulation of dispersal are not yet fully understood.
dispersing individuals spend time and energy and, among other costs, may be exposed to uninhabitable environments, predation, and the risk of failing to find a new site in time for reproduction  <cit> .
classical theory suggests that individuals may disperse in order to change their environment  <cit> , to avoid competition with kin  <cit> , to avoid inbreeding  <cit> , or a combination of the above  <cit> .
these models, however, do not account for individual plasticity in dispersal behavior, in particular the ability of an individual to adjust its dispersal behavior according to circumstances .
such plastic dispersal has been observed in many species .
recently, various ecological drivers of plastic dispersal strategies have been suggested  <cit> .
plastic migration can be induced, among other causes, by density effects  <cit> , by competition with superior individuals  <cit> , by limited resources, e.g.
nutrients  <cit> , or by predation risk  <cit> .
in all these models, the dispersing individual is assumed to benefit directly from dispersal by moving to a different environment: one where there is a chance to find fewer or less intense competitors, more tolerable conditions, more food, or fewer predators  <cit> .
for such a mode of dispersal to be advantageous, the expected benefits resulting from moving to the new location should be greater than the expected cost of dispersal for the individual  <cit> .
consequently, one would not expect the evolution of plastic migration in a uniform and stable environment where the cost of dispersal is high, and sib competition is weak.
here we concentrate on the effect of dispersal on the rate of outcrossing.
outcrossing has been suggested in the past as a possible advantage of dispersal in general , and we suggest that it favors the evolution of plastic dispersal in particular.
from the point of view of a gene regulating dispersal tendency, dispersal can be viewed as a move in both the physical and the genotypic space, because a dispersing individual has a higher probability of mixing its genome with that of an unrelated individual.
both types of movement are more beneficial for a gene linked to a maladapted genetic background than to one linked to a well-adapted one.
in particular, even in the absence of environmental heterogeneity, and even if deleterious mutations are not recessive, selection can favor a gene inducing increased dispersal tendency among the less fit individuals.
thus dispersal may be regulated according to the well-being of the individual, so that fit individuals are less likely to disperse, i.e.
fitness-associated dispersal, or fad  <cit> .
indeed, such association between poor condition and dispersal has been observed in many organisms  <cit>  .
different terms, including condition-dependent dispersal and matching habitat  <cit> , are used in the literature to describe such associations.
since we concentrate on the genetic  aspects of individual condition rather than the environmental  ones, we use fad, which has been used in the past in the exact same sense  <cit> .
in this work, we used stochastic simulations to study the evolutionary dynamics of a modifier gene that determines the individual dispersal strategy in an homogeneous environment.
we show that fad can evolve even when the environment is homogeneous and the cost of dispersal is high.
we predict that stress will result in an increased tendency to disperse even when the cost of dispersal is very high, as long as there is potential for regulated plasticity in dispersal rates.
RESULTS
we found that fitness-associated dispersal  is favored by selection over uniform dispersal throughout the examined parameter range.
specifically, when alleles for fad invaded uni populations with the same average dispersal rate, invasion was successful throughout the parameter range .
takeover time generally decreased with the cost of dispersal, since the relative advantage of the high-quality fad genomes  was greater than that of the high quality uni genomes .
this trend was mainly noticeable for high values of the dispersal rate, since in this case the cost of dispersal is taken into consideration more often.
however, for a low cost of dispersal the takeover time actually increased with dispersal rate, since in this case fad leads to slightly decreased mean fitness .
in our model, fitness and heterozygosity are two distinct concepts – heterozygosity is defined by the number of loci in heterozygote state and fitness is defined by the number of loci both in a heterozygote state and in a homozygote state, according to the dominance coefficient h and the selection coefficient s. the interaction of these two key concepts with fad is complex and depends on the cost of dispersal.
under fad, the cost is paid mainly by individuals with a higher than average number of deleterious mutations, reducing their ability to reproduce.
therefore, when the cost is high, deleterious mutations are purged from the population more effectively with fad than with uni.
this purging effect drives an increase in the population mean fitness  and a reduction in the mean heterozygosity of deleterious mutations .
when the dispersal rate increases, more individuals pay the cost of dispersal and the purging effect becomes stronger .
under a low cost of dispersal with fad, unfit individuals disperse and outcross more often than their fit counterparts, leading to a more even distribution of deleterious mutations in the population, and less effective natural selection.
as a result, population mean fitness decreases , while mean heterozygosity of deleterious mutations increases .
mean heterozygosity of neutral mutations might also increase  <cit> , and heterozygosity could be advantageous in the very long term if the environmental conditions change  <cit> .
the effect of dispersal on the distribution of deleterious alleles is stronger than that of random genetic drift – when the cost of dispersal was removed entirely , a higher dispersal rate, which leads to a larger effective population size, was correlated with a reduced population mean fitness .
note that the invasion of fad did not depend on its long-term effect.
specifically, fad evolves even when it reduces mean fitness , because it reduces the mean fitness of the uni sub-population more than that of fad sub-populations.
in this scenario the major driving force of the evolution of fad is the abandon-ship effect of the modifier allele  <cit> : by increasing the dispersal rate when carrying a poor genetic background, the fad modifier allele increases its own probability to move to a different genetic background in the next generation.
that improves its chances to spread in the population by breaking away from less fit genetic backgrounds and associating with fitter ones.
this advantage of the fad modifier is “selfish” - both the individual and the population might not benefit from such a dispersal strategy that has evolved due to its selective advantage at the gene level  <cit> .
interestingly, fad alleles coding for increased average dispersal rate may invade a population with a uniform and lower dispersal rate, whereas similar uni alleles cannot .
similarly, fad alleles coding for decreased average dispersal rate invade populations with a uniform and higher dispersal rate under a wider parameter range than similar uni alleles .
together, these results suggest that the advantage of fad lies in its plasticity, and not necessarily in the direction of change in dispersal rate.
three major factors play a role in the evolution of fad:  through dispersal, fad alleles can find better genetic backgrounds, with fewer deleterious mutations overall;  through dispersal, fad alleles  can find genetic backgrounds with different deleterious mutations, resulting in the masking of deleterious mutations at a heterozygote state when the wild type allele is dominant; and  under fad, the cost of dispersal is paid primarily by the less fit individuals.
when invaders have a higher dispersal rate than residents and the cost of dispersal is low , the benefit from the masking of deleterious alleles in a heterozygote state can be higher than the costs of dispersal, and both fad and uni alleles can spread.
however, in the absence of masking , only fad can evolve, through efficiently associating itself with genetic backgrounds carrying fewer deleterious mutations.
similarly, intermediate masking , with intermediate costs , allow fad, but not uni, to invade.
when c is high and h is low, neither fad nor uni can invade and increase the dispersal rate.
altogether, no single factor accounts for the evolution of fad throughout the parameter range, with each factor being dominant in a different setting.
when fad alleles invade a uni population with a substantially lower dispersal rate there are cases where fad alleles do not take over or become extinct, and polymorphism of fad and uni alleles - coding for lower dispersal rate - is maintained .
this might be due to a frequency-dependent advantage of fad alleles when they increase dispersal rates above the optimum: when the invading fad alleles are rare, most of them occur in fad/uni heterozygotes, and exhibit an intermediate outcrossing rate closer to the optimum.
however, fad/uni polymorphism is unlikely to be stable: eventually, a fad allele coding for a more optimal dispersal frequency will appear by mutation and take over the population.
for example, a fad allele with dispersal rate α =  <dig>  did not take over or became extinct after invading the uni population with a dispersal rate of α =  <dig> ; but a fad allele with dispersal rate α =  <dig>  did take over - compare figures 5a and 5b for h =  <dig>  and  <dig>  ≤ c ≤  <dig> .
altogether, our model predicts that low quality individuals tend to disperse more often than high quality individuals.
we expect the effect to be noticeable, particularly in organisms featuring both very high rates of dispersal and high costs of dispersal.
discussion
our results show that fitness-associated dispersal  evolves under a wide parameter range, regardless of its effect on the population mean fitness, and even in an homogeneous habitat .
dispersal of less fit individuals can explain the evolution of high dispersal rates even under high costs of dispersal, and even when a uniform increase in dispersal rate is not favored by selection .
these results complement existing models showing that when the environment is heterogeneous, and mismatch between genotype and environment results in low fitness, selection favors conditional dispersal  <cit>  such as fitness-dependent dispersal  <cit>  or matching-habitat choice  <cit> .
altogether, we predict that organisms able to disperse or stay will disperse at higher rates under stress.
this prediction is consistent with empirical evidence in numerous species  <cit> .
our model suggests that plastic dispersal can be driven by the benefits of genetic mixing, and not only of environmental change.
focusing on the genetic benefits, the model assumes conditions that are unfavorable for the evolution of dispersal in classical models: a temporally and spatially homogeneous environment, minimal kin competition, and substantial costs of dispersal.
this model thus differs from classical models  that assume environmental heterogeneity  <cit>  and conditional dispersal  <cit>  from unsuitable environments  <cit>  or into suitable ones  <cit> .
our model does not assume within-deme competition.
it thus differs from studies that demonstrate or require direct competition between conspecifics as a driving force for the evolution of condition-dependent dispersal   <cit> .
our model can be viewed as an extension of inbreeding avoidance models for the evolution of dispersal  <cit> , as we assume conditional dispersal of individuals carrying poor genomes – individuals that are more likely to experience severe inbreeding depression.
the model offers unique predictions.
we predict that the least fit individuals within a population will be the ones that invest more in dispersal even if there is no direct competition, and even in a homogeneous environment.
however, it might be hard to exclude the possibility that individuals show this dispersal pattern because they do expect that the environment is heterogeneous, or because they do compete even when resources are currently unlimited, since they evolved in environments that on average are heterogeneous and competitive.
the concept of fitness associated dispersal is part of the more general concept of fitness-associated genetic variation generated through mutation  <cit> , recombination in a mixed population  <cit> , and in particular costly variation, such as condition-dependent sex  <cit> .
the marked difference between condition-dependent sex and fad is that, in condition-dependent sex, individuals that do not meet the conditions to reproduce sexually produce offspring that are identical to themselves.
however, in the case of conditional dispersal, such as fad, individuals that do not meet the conditions to disperse essentially increase the probability to produce offspring that are inbred and may experience inbreeding depression.
as a result, a gene for fad that is linked to a good genetic background does not benefit from staying linked with that exact background .
our dispersal model may be further developed in accordance with several recent studies.
first, there is no interaction among loci in this model.
however, previous work has shown that fad can facilitate adaptation even when the fitness landscape is rugged - where different mutations can be separately harmful but jointly advantageous  <cit> .
second, further work could test the effects of environmental heterogeneity.
we would expect that environmental heterogeneity would sometimes facilitate the evolution of fad, as dispersal is favored when either the environment is the cause of low fitness and the individual might prosper in a different environment  <cit> , or the genotype is the cause of low fitness regardless of the environment, and changing genetic backgrounds might be advantageous, as we have shown here.
in cases where the environment is heterogeneous and different genotypes match different patches in the environment, fad can result in better genotype-to-environment matching  <cit>  and accelerate local adaptation  <cit> .
third, our model assumes no temporal variation in the environment.
temporal variation often results in increased advantage for dispersal, whether uniform or plastic  <cit> .
fourth, our model assumes that the cost of dispersal is independent of condition.
however, if dispersal cost decreases with condition   <cit>  the predictions might change, possibly narrowing the parameter range allowing the invasion of fad.
if fitness is associated with high levels of heterozygosity  <cit> , our fad model suggests that highly inbred individuals  tend to disperse at a higher rate, as demonstrated in  <cit> .
the offspring of these dispersers are expected to show elevated levels of heterozygosity, and possibly increased fitness and decreased dispersal tendency.
since our model does not assume that dispersal is driven by direct competition, it can naturally be extended to describe the dispersal of sessile organisms, such as plants.
plants do not typically disperse during their adult life, but rather disperse as pollen or seeds  <cit> .
thus our model has two different predictions, one for seeds and one for pollen.
with respect to pollen, where gender bias is strong  it was observed that maladapted hermaphroditic plants invest more in male function than in female function  <cit> , usually explained through the different costs of male and female functions.
our model presents an alternative explanation for this phenomenon by suggesting that investment in pollen facilitates dispersal as well as outcrossing.
with respect to seeds, all else being equal, we would also expect the further dispersing seeds to be produced more often by maladapted parent plants.
such plasticity might even help to explain the evolution of long-distance dispersal involving a high cost of dispersal through high seed mortality  <cit> , but this topic calls for further research.
if dispersal is indeed fitness-associated in many organisms, it might have dramatic implications for evolutionary and ecological models  <cit> .
for example, fad in the form of matching habitat choice might change the distribution of variation across a species’ range, where clines are expected to become steeper with responsiveness of dispersal to environment, in the sense that individuals more often move out of the hybrid zone  in response to gradients affecting fitness  <cit> .
fad may further affect the stability of meta-populations, composed of core populations, where individuals are well adapted and are expected to disperse at lower rates, and peripheral populations, where individuals are expected to disperse at higher rates.
fad might thus maintain the size of core populations more stable in comparison with uniform dispersal, while allowing some gene flow of less successful individuals  <cit> .
the pattern of dispersal may also shape biodiversity.
directed and conditional dispersal may maintain species diversity by keeping core populations more separate, while random dispersal can allow species coexistence  <cit> .
CONCLUSIONS
our results show that fitness-associated dispersal , where less fit individuals are more likely to disperse, has an evolutionary advantage over non-regulated uniform dispersal, even in an homogeneous environment and in the absence of direct within-deme competition.
we have demonstrated that fad evolves regardless of its effect on the population mean fitness, because fad modifier alleles become associated with good genetic backgrounds .
thus, we suggest that plastic dispersal can be driven by the benefits of genetic mixing and not only by the benefits of environmental change.
we predict that the least fit individuals in the population will disperse at the highest rates.
this is expected even if environmental variability is low, individual strategy does not depend on interactions with neighbors, and dispersal carries significant costs.

 dispersal affects fundamental processes in ecology and evolution such as gene flow, genetic drift, and inbreeding. however, the evolution and regulation of dispersal are not yet fully understood. dispersing individuals spend time and energy and, among other costs, may be exposed to uninhabitable environments, predation, and the risk of failing to find a new site in time for reproduction. classical theory suggests that individuals may disperse in order to change their environment, to avoid competition with kin, to avoid inbreeding, or a combination of the above. these models, however, do not account for individual plasticity in dispersal behavior, in particular the ability of an individual to adjust its dispersal behavior according to circumstances. such plastic dispersal has been observed in many species. recently, various ecological drivers of plastic dispersal strategies have been suggested. plastic migration can be induced, among other causes, by density effects, by competition with superior individuals, by limited resources, e.g. nutrients, or by predation risk. in all these models, the dispersing individual is assumed to benefit directly from dispersal by moving to a different environment: one where there is a chance to find fewer or less intense competitors, more tolerable conditions, more food, or fewer predators. for such a mode of dispersal to be advantageous, the expected benefits resulting from moving to the new location should be greater than the expected cost of dispersal for the individual. consequently, one would not expect the evolution of plastic migration in a uniform and stable environment where the cost of dispersal is high, and sib competition is weak. here we concentrate on the effect of dispersal on the rate of outcrossing. outcrossing has been suggested in the past as a possible advantage of dispersal in general, and we suggest that it favors the evolution of plastic dispersal in particular. from the point of view of a gene regulating dispersal tendency, dispersal can be viewed as a move in both the physical and the genotypic space, because a dispersing individual has a higher probability of mixing its genome with that of an unrelated individual. both types of movement are more beneficial for a gene linked to a maladapted genetic background than to one linked to a well-adapted one. in particular, even in the absence of environmental heterogeneity, and even if deleterious mutations are not recessive, selection can favor a gene inducing increased dispersal tendency among the less fit individuals. thus dispersal may be regulated according to the well-being of the individual, so that fit individuals are less likely to disperse, i.e. fitness-associated dispersal, or fad. indeed, such association between poor condition and dispersal has been observed in many organisms. different terms, including condition-dependent dispersal and matching habitat, are used in the literature to describe such associations. since we concentrate on the genetic aspects of individual condition rather than the environmental ones, we use fad, which has been used in the past in the exact same sense. in this work, we used stochastic simulations to study the evolutionary dynamics of a modifier gene that determines the individual dispersal strategy in an homogeneous environment. we show that fad can evolve even when the environment is homogeneous and the cost of dispersal is high. we predict that stress will result in an increased tendency to disperse even when the cost of dispersal is very high, as long as there is potential for regulated plasticity in dispersal rates.  we found that fitness-associated dispersal is favored by selection over uniform dispersal throughout the examined parameter range. specifically, when alleles for fad invaded uni populations with the same average dispersal rate, invasion was successful throughout the parameter range. takeover time generally decreased with the cost of dispersal, since the relative advantage of the high-quality fad genomes was greater than that of the high quality uni genomes. this trend was mainly noticeable for high values of the dispersal rate, since in this case the cost of dispersal is taken into consideration more often. however, for a low cost of dispersal the takeover time actually increased with dispersal rate, since in this case fad leads to slightly decreased mean fitness. in our model, fitness and heterozygosity are two distinct concepts – heterozygosity is defined by the number of loci in heterozygote state and fitness is defined by the number of loci both in a heterozygote state and in a homozygote state, according to the dominance coefficient h and the selection coefficient s. the interaction of these two key concepts with fad is complex and depends on the cost of dispersal. under fad, the cost is paid mainly by individuals with a higher than average number of deleterious mutations, reducing their ability to reproduce. therefore, when the cost is high, deleterious mutations are purged from the population more effectively with fad than with uni. this purging effect drives an increase in the population mean fitness and a reduction in the mean heterozygosity of deleterious mutations. when the dispersal rate increases, more individuals pay the cost of dispersal and the purging effect becomes stronger. under a low cost of dispersal with fad, unfit individuals disperse and outcross more often than their fit counterparts, leading to a more even distribution of deleterious mutations in the population, and less effective natural selection. as a result, population mean fitness decreases, while mean heterozygosity of deleterious mutations increases. mean heterozygosity of neutral mutations might also increase, and heterozygosity could be advantageous in the very long term if the environmental conditions change. the effect of dispersal on the distribution of deleterious alleles is stronger than that of random genetic drift – when the cost of dispersal was removed entirely, a higher dispersal rate, which leads to a larger effective population size, was correlated with a reduced population mean fitness. note that the invasion of fad did not depend on its long-term effect. specifically, fad evolves even when it reduces mean fitness, because it reduces the mean fitness of the uni sub-population more than that of fad sub-populations. in this scenario the major driving force of the evolution of fad is the abandon-ship effect of the modifier allele: by increasing the dispersal rate when carrying a poor genetic background, the fad modifier allele increases its own probability to move to a different genetic background in the next generation. that improves its chances to spread in the population by breaking away from less fit genetic backgrounds and associating with fitter ones. this advantage of the fad modifier is “selfish” - both the individual and the population might not benefit from such a dispersal strategy that has evolved due to its selective advantage at the gene level. interestingly, fad alleles coding for increased average dispersal rate may invade a population with a uniform and lower dispersal rate, whereas similar uni alleles cannot. similarly, fad alleles coding for decreased average dispersal rate invade populations with a uniform and higher dispersal rate under a wider parameter range than similar uni alleles. together, these results suggest that the advantage of fad lies in its plasticity, and not necessarily in the direction of change in dispersal rate. three major factors play a role in the evolution of fad: through dispersal, fad alleles can find better genetic backgrounds, with fewer deleterious mutations overall; through dispersal, fad alleles can find genetic backgrounds with different deleterious mutations, resulting in the masking of deleterious mutations at a heterozygote state when the wild type allele is dominant; and under fad, the cost of dispersal is paid primarily by the less fit individuals. when invaders have a higher dispersal rate than residents and the cost of dispersal is low, the benefit from the masking of deleterious alleles in a heterozygote state can be higher than the costs of dispersal, and both fad and uni alleles can spread. however, in the absence of masking, only fad can evolve, through efficiently associating itself with genetic backgrounds carrying fewer deleterious mutations. similarly, intermediate masking, with intermediate costs, allow fad, but not uni, to invade. when c is high and h is low, neither fad nor uni can invade and increase the dispersal rate. altogether, no single factor accounts for the evolution of fad throughout the parameter range, with each factor being dominant in a different setting. when fad alleles invade a uni population with a substantially lower dispersal rate there are cases where fad alleles do not take over or become extinct, and polymorphism of fad and uni alleles - coding for lower dispersal rate - is maintained. this might be due to a frequency-dependent advantage of fad alleles when they increase dispersal rates above the optimum: when the invading fad alleles are rare, most of them occur in fad/uni heterozygotes, and exhibit an intermediate outcrossing rate closer to the optimum. however, fad/uni polymorphism is unlikely to be stable: eventually, a fad allele coding for a more optimal dispersal frequency will appear by mutation and take over the population. for example, a fad allele with dispersal rate α =  did not take over or became extinct after invading the uni population with a dispersal rate of α = ; but a fad allele with dispersal rate α =  did take over - compare figures 5a and 5b for h =  and  ≤ c ≤ . altogether, our model predicts that low quality individuals tend to disperse more often than high quality individuals. we expect the effect to be noticeable, particularly in organisms featuring both very high rates of dispersal and high costs of dispersal. discussion our results show that fitness-associated dispersal evolves under a wide parameter range, regardless of its effect on the population mean fitness, and even in an homogeneous habitat. dispersal of less fit individuals can explain the evolution of high dispersal rates even under high costs of dispersal, and even when a uniform increase in dispersal rate is not favored by selection. these results complement existing models showing that when the environment is heterogeneous, and mismatch between genotype and environment results in low fitness, selection favors conditional dispersal such as fitness-dependent dispersal or matching-habitat choice. altogether, we predict that organisms able to disperse or stay will disperse at higher rates under stress. this prediction is consistent with empirical evidence in numerous species. our model suggests that plastic dispersal can be driven by the benefits of genetic mixing, and not only of environmental change. focusing on the genetic benefits, the model assumes conditions that are unfavorable for the evolution of dispersal in classical models: a temporally and spatially homogeneous environment, minimal kin competition, and substantial costs of dispersal. this model thus differs from classical models that assume environmental heterogeneity and conditional dispersal from unsuitable environments or into suitable ones. our model does not assume within-deme competition. it thus differs from studies that demonstrate or require direct competition between conspecifics as a driving force for the evolution of condition-dependent dispersal. our model can be viewed as an extension of inbreeding avoidance models for the evolution of dispersal, as we assume conditional dispersal of individuals carrying poor genomes – individuals that are more likely to experience severe inbreeding depression. the model offers unique predictions. we predict that the least fit individuals within a population will be the ones that invest more in dispersal even if there is no direct competition, and even in a homogeneous environment. however, it might be hard to exclude the possibility that individuals show this dispersal pattern because they do expect that the environment is heterogeneous, or because they do compete even when resources are currently unlimited, since they evolved in environments that on average are heterogeneous and competitive. the concept of fitness associated dispersal is part of the more general concept of fitness-associated genetic variation generated through mutation, recombination in a mixed population, and in particular costly variation, such as condition-dependent sex. the marked difference between condition-dependent sex and fad is that, in condition-dependent sex, individuals that do not meet the conditions to reproduce sexually produce offspring that are identical to themselves. however, in the case of conditional dispersal, such as fad, individuals that do not meet the conditions to disperse essentially increase the probability to produce offspring that are inbred and may experience inbreeding depression. as a result, a gene for fad that is linked to a good genetic background does not benefit from staying linked with that exact background. our dispersal model may be further developed in accordance with several recent studies. first, there is no interaction among loci in this model. however, previous work has shown that fad can facilitate adaptation even when the fitness landscape is rugged - where different mutations can be separately harmful but jointly advantageous. second, further work could test the effects of environmental heterogeneity. we would expect that environmental heterogeneity would sometimes facilitate the evolution of fad, as dispersal is favored when either the environment is the cause of low fitness and the individual might prosper in a different environment, or the genotype is the cause of low fitness regardless of the environment, and changing genetic backgrounds might be advantageous, as we have shown here. in cases where the environment is heterogeneous and different genotypes match different patches in the environment, fad can result in better genotype-to-environment matching and accelerate local adaptation. third, our model assumes no temporal variation in the environment. temporal variation often results in increased advantage for dispersal, whether uniform or plastic. fourth, our model assumes that the cost of dispersal is independent of condition. however, if dispersal cost decreases with condition the predictions might change, possibly narrowing the parameter range allowing the invasion of fad. if fitness is associated with high levels of heterozygosity, our fad model suggests that highly inbred individuals tend to disperse at a higher rate, as demonstrated in. the offspring of these dispersers are expected to show elevated levels of heterozygosity, and possibly increased fitness and decreased dispersal tendency. since our model does not assume that dispersal is driven by direct competition, it can naturally be extended to describe the dispersal of sessile organisms, such as plants. plants do not typically disperse during their adult life, but rather disperse as pollen or seeds. thus our model has two different predictions, one for seeds and one for pollen. with respect to pollen, where gender bias is strong it was observed that maladapted hermaphroditic plants invest more in male function than in female function, usually explained through the different costs of male and female functions. our model presents an alternative explanation for this phenomenon by suggesting that investment in pollen facilitates dispersal as well as outcrossing. with respect to seeds, all else being equal, we would also expect the further dispersing seeds to be produced more often by maladapted parent plants. such plasticity might even help to explain the evolution of long-distance dispersal involving a high cost of dispersal through high seed mortality, but this topic calls for further research. if dispersal is indeed fitness-associated in many organisms, it might have dramatic implications for evolutionary and ecological models. for example, fad in the form of matching habitat choice might change the distribution of variation across a species’ range, where clines are expected to become steeper with responsiveness of dispersal to environment, in the sense that individuals more often move out of the hybrid zone in response to gradients affecting fitness. fad may further affect the stability of meta-populations, composed of core populations, where individuals are well adapted and are expected to disperse at lower rates, and peripheral populations, where individuals are expected to disperse at higher rates. fad might thus maintain the size of core populations more stable in comparison with uniform dispersal, while allowing some gene flow of less successful individuals. the pattern of dispersal may also shape biodiversity. directed and conditional dispersal may maintain species diversity by keeping core populations more separate, while random dispersal can allow species coexistence.  our results show that fitness-associated dispersal, where less fit individuals are more likely to disperse, has an evolutionary advantage over non-regulated uniform dispersal, even in an homogeneous environment and in the absence of direct within-deme competition. we have demonstrated that fad evolves regardless of its effect on the population mean fitness, because fad modifier alleles become associated with good genetic backgrounds. thus, we suggest that plastic dispersal can be driven by the benefits of genetic mixing and not only by the benefits of environmental change. we predict that the least fit individuals in the population will disperse at the highest rates. this is expected even if environmental variability is low, individual strategy does not depend on interactions with neighbors, and dispersal carries significant costs. 
using stochastic simulations we show that throughout the parameter range, selection favors fad over uniform dispersal. we show that fad evolves under a very wide parameter range, regardless of its effects on the population mean fitness. we predict that individuals of low quality will have an increased tendency for dispersal, even when the environment is homogeneous, there is no direct competition with neighbors, and dispersal carries significant costs. previous theoretical studies have shown that condition-dependent dispersal may evolve as a means to move to a different environment when environments are heterogeneous in space or in time. phenotypic plasticitygenetic mixingoutcrossingstress-induced variationfitness-dependent dispersalcondition-dependent dispersalpartial migrationstochastic simulations dispersal is a major factor in ecological and evolutionary dynamics.
 dispersal is a major factor in ecological and evolutionary dynamics. although empirical evidence shows that the tendency to disperse varies among individuals in many organisms, the evolution of dispersal patterns is not fully understood. previous theoretical studies have shown that condition-dependent dispersal may evolve as a means to move to a different environment when environments are heterogeneous in space or in time. however, dispersal is also a means to genetically diversify offspring, a genetic advantage that might be particularly important when the individual fitness is low. we suggest that plasticity in dispersal, in which fit individuals are less likely to disperse, can evolve due to its evolutionary advantages even when the environment is homogeneous and stable, kin competition is weak, and the cost of dispersal is high.  using stochastic simulations we show that throughout the parameter range, selection favors fad over uniform dispersal. fad also has significant long-term effects on the mean fitness and genotypic variance of the population.  we show that fad evolves under a very wide parameter range, regardless of its effects on the population mean fitness. we predict that individuals of low quality will have an increased tendency for dispersal, even when the environment is homogeneous, there is no direct competition with neighbors, and dispersal carries significant costs. phenotypic plasticitygenetic mixingoutcrossingstress-induced variationfitness-dependent dispersalcondition-dependent dispersalpartial migrationstochastic simulations 