Ghang Whan, Nowak Martin A
Program for Evolutionary Dynamics, Harvard University, Cambridge, MA 02138, USA; Department of Mathematics, Harvard University, Cambridge, MA 02138, USA.
Program for Evolutionary Dynamics, Harvard University, Cambridge, MA 02138, USA; Department of Mathematics, Harvard University, Cambridge, MA 02138, USA; Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, MA 02138, USA.
J Theor Biol. 2014 Nov 7;360:129-136. doi: 10.1016/j.jtbi.2014.06.026. Epub 2014 Jun 30.
Staying together means that replicating units do not separate after reproduction, but remain attached to each other or in close proximity. Staying together is a driving force for evolution of complexity, including the evolution of multi-cellularity and eusociality. We analyze the fixation probability of a mutant that has the ability to stay together. We assume that the size of the complex affects the reproductive rate of its units and the probability of staying together. We examine the combined effect of natural selection and random drift on the emergence of staying together in a finite sized population. The number of states in the underlying stochastic process is an exponential function of population size. We develop a framework for any intensity of selection and give closed form solutions for special cases. We derive general results for the limit of weak selection.
聚集在一起意味着复制单元在繁殖后不会分离,而是彼此附着或保持紧密相邻。聚集在一起是复杂性进化的驱动力,包括多细胞性和群居性的进化。我们分析了具有聚集能力的突变体的固定概率。我们假设复合体的大小会影响其单元的繁殖率和聚集在一起的概率。我们研究了自然选择和随机漂变对有限大小种群中聚集现象出现的综合影响。潜在随机过程中的状态数是种群大小的指数函数。我们为任何选择强度建立了一个框架,并给出了特殊情况下的封闭形式解。我们推导出了弱选择极限的一般结果。