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有限种群中的演化动力学：振荡、扩散和漂移逆转Evolutionary Dynamics in Finite Populations: Oscillations, Diffusion, and Drift Reversal |
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| 课程网址: | http://videolectures.net/eccs07_claussen_edf/ |
| 主讲教师: | Jens Christian Claussen |
| 开课单位: | 基尔大学 |
| 开课时间: | 2007-11-28 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | Coevolutionary dynamics arises in a wide range from biological to social dynamical systems. For infinite populations, a standard approach to analyze the dynamics are deterministic replicator equations, however lacking a systematic derivation. In finite populations modelling finite-size stochasticity by Gaussian noise is not in general warranted [1]. We show that for the evolutionary Moran process and a Local update process, the explicit limit of infinite populations leads to the adjusted or the standard replicator dynamics, respectively [2]. In addition, the first-order corrections in the population size are given by the finite-size update stochasticity and can be derived as a generalized diffusion term of a Fokker-Planck equation [2]. This framework can be readily transferred to other microscopic processes, as the local Fermi process [3] or the inclusion of mutations in the process [4]. We explicitely discuss the differences for the Prisoner's Dilemma, and Dawkin's Battle of the Sexes, where we show that the stochastic update fluctuations in the Moran process lead to a finite-size dependent drift reversal [2]. [1] J.C. Claussen and A. Traulsen, Phys. Rev. E 71, 025101(R) (2005); [2] A. Traulsen, J.C. Claussen, C. Hauert, Phys. Rev. Lett, 95, 238701; [3] A.Traulsen, M.A.Nowak, J.M.Pacheco, Phys. Rev. E 74, 011909 (2006); [4] A. Traulsen, J.C. Claussen, C. Hauert, Phys. Rev. E 74, 011901 (2006). |
| 关 键 词: | 协同进化; 总体建模; 漂移反转 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2023-03-15：chenjy |
| 最后编审: | 2023-03-15：chenjy |
| 阅读次数: | 44 |