Summary. I consider the stochastic lattice model for sexual reproduction process on one-dimensional lattice investigated by Dickman and Tome (1991), Noble (1992) and Neuhauser (1994). This model concerns the reproduction to the empty neighboring habitat by a pair of individuals on one-dimensional lattice. Noble (1992) and Neuhauser (1994) mathematically analysed the model with rapid stirring and long-range interaction, respectively. In this chapter, after reviewing the process with rapid stirring briefly, I concentrate on the case with the nearest neighboring interactions and without stirring, and the qualitative features of the dynamics for this model are studied by using pair approximation, which shows the comparative difference from the mean-field approximation.
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机译：概括。我认为Dickman and Tome（1991），贵族（1992）和Neuhauser（1994）调查的一维格子的性繁殖过程随机格子模型。该模型涉及一对一维格子上的一对单独的邻近栖息地的再现。 Noble（1992）和Neuhauser（1994）分别以快速搅拌和远程相互作用分析模型。在本章中，在审查快速搅拌的过程之后，我专注于最接近的相邻相互作用，并且在不搅拌的情况下，通过使用对近似来研究该模型的动态的定性特征，从而显示与之相比差异平均场近似。
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