Spontaneous pattern formation and genetic invasion in locally mating and competing populations

被引:28
|
作者
Sayama, Hiroki [1 ,2 ]
De Aguiar, Marcus A.M. [1 ,3 ,4 ]
Bar-Yam, Yaneer [1 ,5 ]
Baranger, Michel [1 ,4 ]
机构
[1] New England Complex Syst. Institute, Cambridge, MA 02138
[2] Department of Human Communication, University of Electro-Communications, Chofu, Tokyo 182-8585, Japan
[3] Inst. de Física Gleb Wataghin, Universidade Estadual de Campinas, 13081-970, Campinas, São Paulo, Brazil
[4] Center for Theoretical Physics, Laboratory of Nuclear Science, Massachusetts Inst. of Technology, Cambridge, MA 02139
[5] Dept. of Molec. and Cellular Biology, Harvard University, Cambridge, MA 02138
来源
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 05期
关键词
Computer simulation - Dynamics - Iterative methods - Mathematical models - Parameter estimation - Substrates;
D O I
10.1103/PhysRevE.65.051919
中图分类号
学科分类号
摘要
We present a theoretical model of evolution of spatially distributed populations in which organisms mate with and compete against each other only locally. We show using both analysis and numerical simulation that the typical dynamics of population density variation is a spontaneous formation of isolated groups due to competition for resources. The resulting spatial separation between groups strongly affects the process of genetic invasion by local reproductive mixing, and spatially inhomogeneous genetic distributions are possible in the final states. We then consider a specific version of this model in the presence of disruptive selection, favoring two fittest types against their genetic intermediates. This case can be simplified to a system that involves just two nonconserved order parameters: population density and type difference. Since the coexistence of two fittest types is unstable in this case, symmetry breaking and coarsening occur in type difference, implying eventual dominance by one type over another for finite populations. However, such coarsening patterns may be pinned by the spontaneously generated spatial separation between isolated groups. The long-term evolution of genetic composition is found to be sensitive to the ratio of the mating and competition ranges, and other parameters. Our model may provide a theoretical basis for consideration of various properties of spatially extended evolutionary processes, including spontaneous formation of subpopulations and lateral invasion of different types. © 2002 The American Physical Society.
引用
收藏
页码:1 / 051919
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