dorsal/arxiv
View SchemaEvolution of Variance in Offspring Number: the Effects of Population Size and Migration
| Authors | Max Shpak |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0501034 |
| URL | https://arxiv.org/abs/q-bio/0501034 |
Abstract
It was shown by Gillespie (1974) that if two genotypes produce the same average number of offspring on but have a different variance associated within each generation, the genotype with a lower variance will have a higher effective fitness. Specifically, the effective fitness is W(effective)=w-var/N, where w is the mean fitness, var is the variance in offspring number, and N is the total population size. The model also predicts that if a strategy has a higher arithmetic mean fitness and a higher variance than the competitor, the outcome of selection will depend on the population size (with larger population sizes favoring the high variance, high mean genotype). This suggests that for metapopulations with large numbers of (relatively) small demes, a strategy with lower variance and lower mean may be favored if the migration rate is low while higher migration rates (consistent with a larger effective population size) favor the opposite strategy. Individual based simulation confirms that this is indeed the case for an island model of migration, though the effect of migration differs greatly depending on whether migration precedes or follows selection. It is noted in the appendix that while Gillespie 1974 does seem to be heuristically accurate, it is not clear that the definition of effective fitness follows from his derivation.
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"abstract": "It was shown by Gillespie (1974) that if two genotypes produce the same\naverage number of offspring on but have a different variance associated within\neach generation, the genotype with a lower variance will have a higher\neffective fitness. Specifically, the effective fitness is W(effective)=w-var/N,\nwhere w is the mean fitness, var is the variance in offspring number, and N is\nthe total population size. The model also predicts that if a strategy has a\nhigher arithmetic mean fitness and a higher variance than the competitor, the\noutcome of selection will depend on the population size (with larger population\nsizes favoring the high variance, high mean genotype). This suggests that for\nmetapopulations with large numbers of (relatively) small demes, a strategy with\nlower variance and lower mean may be favored if the migration rate is low while\nhigher migration rates (consistent with a larger effective population size)\nfavor the opposite strategy. Individual based simulation confirms that this is\nindeed the case for an island model of migration, though the effect of\nmigration differs greatly depending on whether migration precedes or follows\nselection. It is noted in the appendix that while Gillespie 1974 does seem to\nbe heuristically accurate, it is not clear that the definition of effective\nfitness follows from his derivation.",
"arxiv_id": "q-bio/0501034",
"authors": [
"Max Shpak"
],
"categories": [
"q-bio.PE"
],
"title": "Evolution of Variance in Offspring Number: the Effects of Population Size and Migration",
"url": "https://arxiv.org/abs/q-bio/0501034"
},
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