Espenshade T J, Chan C Y
Demography. 1976 Aug;13(3):357-68.
This paper illustrates a method of studying changes in vital rate schedules which have no effect on the intrinsic rate of population growth. These changes are described as compensating changes in fertility and mortality. The analysis proceeds from the discrete perspective of Leslie matrices, wherein the central idea is to establish the set of all compensating changes by identifying that class of Leslie matrices which possess the same positive eigenvalue, lambda1. A root-squaring technique is adapted for the purpose of estimating lambda1. Finally, a variety of compensating fertility and mortality changes is illustrated using data from Japan.
本文阐述了一种研究生命率时间表变化的方法，这些变化对种群增长的内在率没有影响。这些变化被描述为生育力和死亡率的补偿性变化。分析从莱斯利矩阵的离散视角出发，其核心思想是通过识别具有相同正特征值λ1的莱斯利矩阵类别来确定所有补偿性变化的集合。为了估计λ1，采用了一种开平方技术。最后，利用日本的数据说明了各种补偿性生育力和死亡率变化情况。
