School size statistics of fish
School size statistics of fish
复制标题
鱼群规模统计
DOI：
10.1006/jtbi.1998.0801
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发表时间：
1998
影响因子：
2
通讯作者：
Hiro
中科院分区：
文献类型：
--
作者：
Hiro
考虑了一种固定种群数量的系统，在该系统中，鱼群分裂并与其他鱼群合并。根据Smoluchowski方程模型的平均场理论，在平衡方程的基础上，研究了凝聚-破碎过程中颗粒的大小分布。裂变和聚变的速率是从简单的学校教育的动态观点来确定的。实际上，在截止尺寸之前，尺寸分布遵循指数规律，这可以用数据来拟合。幂指数和截止大小取决于种群大小。它还阐明了系统的统计特性如何受总人口规模的调节。随着人口规模的增加，学校的数量也会增加，并逐渐接近一个固定值。如果人口规模很大，平均学校规模与人口规模成线性关系。学校规模分布的标准差与平均学校规模成正比，并用数据进行了检验。版权所有1998年学术出版社
A system of a fixed population size is considered in which fish schools break up and unite with other schools. The size distribution of schools is investigated on the basis of a balance equation, which corresponds to the mean-field theory of Smoluchowski-equation model of the coagulation-fragmentation process. The rates of fission and fusion are determined from a simple dynamic viewpoint of schooling. The size distribution, in effect, follows a power law up to a cutoff size, which can be fitted to data. The power index and the cutoff size depend on the population size. It is also elucidated how statistical properties of the system are regulated by the total population size. As the population size increases the number of schools increases, and asymptotically approaches a fixed value. If the population size is large, the mean school size depends linearly upon the population size. The standard deviation of the school-size distribution is proportional to the mean school size which is checked with data. Copyright 1998 Academic Press