Mating systems will influence gene spread across the natural distribution of a plant species. Existing theories have not fully explored the role of mating systems on the wave of advance of an advantageous gene. Here, we develop a theory to account for the rate of spread of both advantageous and neutral genes under different mating systems, based on migration-selection processes. We show that a complex relationship exists between selfing rate and the speed of gene spread. The interaction of selfing with gametophytic selection shapes the traveling wave of the advantageous gene. Selfing can impede (or enhance) the spread of an advantageous gene in the presence (or absence) of gametophytic selection. The interaction of selfing with recombination shapes the spread of a neutral gene. Linkage disequilibrium, mainly generated by selfing, enhances the traveling wave of the neutral gene that is tightly linked with the selective gene. Recombination gradually breaks down the genetic hitchhiking effects along the direction of advantageous gene spread, yielding decreasing waves of advance of neutral genes. The stochastic process does not alter the pattern of selfing effects except for increasing the uncertainty of the waves of advance of both advantageous and neutral genes. This theory helps us to explain how mating systems act as a barrier to spread of adaptive and neutral genes, and to interpret species cohesion maintained by a low level of adaptive gene flow.

中文翻译：

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不同交配系统下的基因进步浪潮

交配系统将影响基因在植物物种的自然分布中的传播。现有理论尚未充分探讨交配系统对优势基因推进浪潮的作用。在这里，我们基于迁移选择过程开发了一种理论来解释有利基因和中性基因在不同交配系统下的传播速度。我们表明自交率和基因传播速度之间存在复杂的关系。自交与配子体选择的相互作用塑造了优势基因的行波。在存在（或不存在）配子体选择的情况下，自交会阻碍（或增强）有利基因的传播。自交与重组的相互作用塑造了中性基因的传播。连锁不平衡，主要由自交产生，增强与选择性基因紧密相连的中性基因的行波。重组沿着有利基因传播的方向逐渐打破遗传搭便车效应，产生减少的中性基因推进波。随机过程不会改变自交效应的模式，只是增加了有利基因和中性基因的前进波的不确定性。该理论帮助我们解释交配系统如何作为适应性基因和中性基因传播的障碍，并解释由低水平适应性基因流维持的物种凝聚力。产生减少的中性基因推进波。随机过程不会改变自交效应的模式，只是增加了有利基因和中性基因的前进波的不确定性。该理论帮助我们解释交配系统如何作为适应性基因和中性基因传播的障碍，并解释由低水平适应性基因流维持的物种凝聚力。产生减少的中性基因推进波。随机过程不会改变自交效应的模式，只是增加了有利基因和中性基因的前进波的不确定性。该理论帮助我们解释交配系统如何作为适应性基因和中性基因传播的障碍，并解释由低水平适应性基因流维持的物种凝聚力。