LESLIE MODEL REVISITED - SOME GENERALIZATIONS TO BLOCK STRUCTURES
LESLIE MODEL REVISITED - SOME GENERALIZATIONS TO BLOCK STRUCTURES
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DOI：
10.1016/0304-3800(89)90052-5
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发表时间：
1989-11-01
影响因子：
3.1
通讯作者：
LOGOFET, DO
中科院分区：
文献类型：
--
作者：
CSETENYI, AI;LOGOFET, DO
在对种群进行建模时，除了考虑年龄结构外，还可以考虑将每个年龄类别细分为相对于另一个特征(例如，大小或生理状态)的有限数量的组。所得到的块结构人口预测矩阵的不可分解性(或不可约性)是人口内在增长率存在的必要条件，而原始性是稳态年龄结构存在的必要条件。给出了一般形式的块结构Leslie矩阵的不可分解和本原的构造性条件。矩阵的不可分解等价于它的有向图的强连通性。给出了一个在实际情况下检验不可分解性的方法。
In modelling populations, one can consider, in addition to age structure, a subdivision of each age class into a finite number of groups with respect to another character, e.g. size or physiological status. Indecomposability (or irreducibility) of the resulting block-structured population projection matrix is a prerequisite for the existence of the intrinsic rate of population increase, while primitivity is that for the existence of a steady-state age structure. In this paper, constructive conditions of indecomposability and primitivity are given for a block-structured Leslie matrix of a general form. Indecomposability of a matrix is known to be equivalent to strong connectedness of its directed graph. An procedure is derived to check indecomposability in practical cases.