随机进化稳定性研究进展

doi:10.17520/biods.2020213

生物多样性 ›› 2020, Vol. 28 ›› Issue (11): 1304-1310. DOI: 10.17520/biods.2020213 cstr: 32101.14.biods.2020213

随机进化稳定性研究进展

郑秀灯, 李聪, 冯天娇, 陶毅^*()

中国科学院动物研究所动物生态与保护生物学院重点实验室, 北京 100101

收稿日期:2020-05-23 接受日期:2020-06-03 出版日期:2020-11-20 发布日期:2020-06-10
通讯作者: 陶毅
作者简介:* E-mail: yitao@ioz.ac.cn
基金资助:
国家自然科学基金面上项目(31971511)

Introduction of stochastic evolutionary stability

Xiudeng Zheng, Cong Li, Tianjiao Feng, Yi Tao^*()

Key Laboratory of Animal Ecology and Conservation Biology, Institute of Zoology, Chinese Academy of Sciences, Beijing 100101

Received:2020-05-23 Accepted:2020-06-03 Online:2020-11-20 Published:2020-06-10
Contact: Yi Tao

摘要/Abstract

摘要：

在过去的三十多年, 演化博弈理论及其进化稳定对策的概念不仅被广泛地应用于解释动物行为的进化, 而且也被成功地应用于分子生物学、经济学、政治学和社会学等诸多学科。然而, 在随机波动环境中演化博弈动态的随机动力学性质始终没有被清晰地认识, 并且这是一个极具挑战性的理论问题。本文简单介绍了我们最近所提出的随机进化稳定性(stochastic evolutionary stability, SES)的概念。随机进化稳定性不仅是经典进化稳定对策(evolutionarily stably strategy, ESS)概念在随机环境下的自然扩展, 而且为揭示在随机环境中动物行为的演化动态提供一个基本的理论框架。

关键词: 随机局部稳定, 随机进化稳定, 随机收敛稳定, 随机支付

Abstract

Over the past 30 years, evolutionary game theory and the concept of an evolutionarily stable strategy (ESS) have been not only extensively developed and successfully applied to explain the evolution of animal behaviors, but also widely used in molecular biology, economics, politics and social sciences. However, the stochastic dynamical properties of evolutionary games in randomly fluctuating environments are still unclear. In this paper, we briefly introduce the concept of stochastic evolutionary stability (SES) that we recently proposed. The stochastic evolutionary stability not only extends the classic concept of the evolutionarily stably strategy but also provides a fundamental theoretical framework for understanding the evolutionary dynamics of animal behavior in a stochastic environment.

Key words: stochastic locally stability, stochastic evolutionary stability, stochastic convergence stability, random payoff

郑秀灯, 李聪, 冯天娇, 陶毅 (2020) 随机进化稳定性研究进展. 生物多样性, 28, 1304-1310. DOI: 10.17520/biods.2020213.

Xiudeng Zheng, Cong Li, Tianjiao Feng, Yi Tao (2020) Introduction of stochastic evolutionary stability. Biodiversity Science, 28, 1304-1310. DOI: 10.17520/biods.2020213.

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链接本文: https://www.biodiversity-science.net/CN/10.17520/biods.2020213

https://www.biodiversity-science.net/CN/Y2020/V28/I11/1304

参考文献 22

[1]	Bjørnstad ON, Grenfell BT (2001) Noisy clockwork: Time series analysis of population fluctuations in animals. Science, 293, 638-643. DOI URL PMID
[2]	Foster D, Young P (1990) Stochastic evolutionary game dynamics. Theoretical Population Biology, 38, 219-232.
[3]	Hofbauer J, Sigmund K (1998) Evolutionary Games and Population Dynamics. Cambridge University Press, Cambridge.
[4]	Karlin S, Lieberman U (1974) Random temporal variation in selection intensities: Case of large population size. Theoretical Population Biology, 6, 355-382. DOI URL PMID
[5]	Karlin S, Liberman U (1975) Random temporal variation in selection intensities: One-locus two-allele model. Journal of Mathematical Biology, 2, 1-17.
[6]	La Cognata A, Valenti D, Dubkov AA, Spagnolo B (2010) Dynamics of two competing species in the presence of Lévy noise sources. Physical Review E, 82, 011121.
[7]	Lande R, Engen S, Saether BE (2003) Stochastic Population Dynamics in Ecology and Conservation. Oxford University Press, New York.
[8]	Li C, Zheng XD, Feng TJ, Wang MY, Lessard S, Tao Y (2019) Weak selection can filter environmental noise in the evolution of animal behavior. Physical Review E, 100, 052411. DOI URL PMID
[9]	Maynard Smith J (1974) The theory of games and the evolution of animal conflicts. Journal of Theoretical Biology, 47, 209-221. URL PMID
[10]	Maynard Smith J (1982) Evolution and the Theory of Games. Cambridge University Press, Cambridge.
[11]	Maynard Smith J, Price G (1973) The logic of animal conflict. Nature, 264, 15-18.
[12]	May RM (1973) Stability and Complexity in Model Ecosystems. Princeton University Press, Princeton, NJ.
[13]	May RM (2001) Stability and Complexity in Model Ecosystems: Princeton Landmarks in Biology. Princeton University, Princeton, NJ.
[14]	Nowak MA (2006) Evolutionary Dynamics: Exploring the Equation of Life. Harvard University Press, Cambridge.
[15]	Nowak MA, Sasaki A, Taylor C, Fudenberg D (2004) Emergence of cooperation and evolutionary stability in finite populations. Nature, 428, 646-650. DOI URL PMID
[16]	Spagnolo B, Fiasconaro A, Valenti D (2003) Noise induced phenomena in Lotka-Volterra systems. Fluctuation and Noise Letters, 3, L177-L185.
[17]	Spagnolo B, Valenti D, Fiasconaro A (2004) Noise in ecosystems: A short review. Mathematical Biosciences and Engineering, 1, 185-211. URL PMID
[18]	Taylor PD, Jonker LB (1978) Evolutionary stable strategies and game dynamics. Mathematical Biosciences, 40, 145-156.
[19]	Turchin P, Oksanen L, Ekerholm P, Oksanen T, Henttonen H (2000) Are lemmings prey or predators? Nature, 405, 562-565. URL PMID
[20]	Zheng XD, Deng LL, Qiang WY, Cressman R, Tao Y (2017a) Limiting similarity of competitive species and demographic stochasticity. Physical Review E, 95, 042404. DOI URL PMID
[21]	Zheng XD, Li C, Lessard S, Tao Y (2017b) Evolutionary stability concepts in a stochastic environment. Physical Review E, 96, 032414.
[22]	Zheng XD, Li C, Lessard S, Tao Y (2018) Environmental noise could promote stochastic local stability of behavioral diversity evolution. Physical Review Letters, 120, 218101.

随机进化稳定性研究进展

Introduction of stochastic evolutionary stability

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