Evolutionary stability under the replicator and the gradient dynamics

被引:0
作者
Peter Taylor
Troy Day
机构
[1] Queen’s University,Department of Mathematics and Statistics
来源
Evolutionary Ecology | 1997年 / 11卷
关键词
evolutionary stability; gradient dynamics; quantitative genetics; replicator dynamics;
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学科分类号
摘要
We unite two general models for evolutionary change under the forces of selection, mutation and reproduction, a genetic model (replicator dynamics) and a cultural model (gradient dynamics). Under the assumption of normality, we find that the mean and variance dynamics are essentially identical under the two models and we relate these to the ESS and convergence stability conditions.
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页码:579 / 590
页数:11
相关论文
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[1]  
Abrams P.A.(1993)Evolutionarily unstable fitness maxima and stable fitness minima of continuous traits Evol. Ecol. 7 465-487
[2]  
Matsuda H.(1989)Maintenance of genetic variability by mutation-selection balance: A child’s guide through the jungle Genome 31 761-767
[3]  
Harada Y.(1986)On the maintenance of genetic variation: Global analysis of Kimura’s continuum-of-alleles model J. Math. Biol. 24 341-351
[4]  
Bulmer M.G.(1991)Moments, cumulants and polygenic dynamics J. Math Biol. 30 199-213
[5]  
Burger R.(1991)On conditions for evolutionary stability for a continuously varying character Am. Nat. 138 37-50
[6]  
Burger R.(1964)The theory of genetic loads Proceedings of the XIth International Congress of Genetics 2 495-505
[7]  
Christiansen F.B.(1983)Evolutionary and continuous stability J. Theor. Biol. 103 99-111
[8]  
Crow J.F.(1981)Kin selection and strong evolutionary stability of mutual help Theor. Pop. Biol. 19 420-433
[9]  
Kimura M.(1937)The wave of advance of advantageous genes Ann. Eugen. 7 355-360
[10]  
Eshel I.(1979)A note on evolutionary stable strategies and game dynamics J. Theor. Biol. 81 609-612