Latore J, Gould P, Mortimer AM
Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX.
J Theor Biol. 1998 Feb 7;190(3):277-85. doi: 10.1006/jtbi.1997.0558.
Critical patch size is the minimum habitat size required for population persistence. The critical patch size of an annual plant population residing in a finite homogeneous habitat, using an integro-difference equation model is considered and this is found to be dependent on the basic population growth rate and dispersal characteristics. General analytical and numerical methods for the calculation of the critical patch size are presented with the inclusion of a simple new approximation technique. These methods are illustrated in the context of a species dispersing seeds on a Gaussian distribution. The approach is extended to incorporate a persistent seed-bank. Where the dispersion of seeds entering the seed-bank and those giving rise to adult plants is identical, the possession of a seed-bank influences the critical patch size through a scaling of the basic population growth rate. The wider implications of the approach are discussed in the context of metapopulation dynamics.Copyright 1998 Academic Press Limited
临界斑块大小是种群持续生存所需的最小栖息地面积。利用积分差分方程模型，对有限均匀栖息地中一年生植物种群的临界斑块大小进行了研究，发现其取决于基本种群增长率和扩散特征。提出了计算临界斑块大小的一般分析方法和数值方法，其中包括一种简单的新近似技术。这些方法在一个种子呈高斯分布扩散的物种背景下进行了说明。该方法被扩展到包含一个持久的种子库。当进入种子库的种子和产生成年植株的种子扩散情况相同时，种子库的存在通过对基本种群增长率进行缩放来影响临界斑块大小。在集合种群动态的背景下讨论了该方法的更广泛意义。版权所有1998年学术出版社有限公司
