Kim Y J
Demography. 1985 Aug;22(3):455-68.
By restricting the number of age groups to two and by introducing continued fractions, the dynamics of populations with deterministically changing vital rates are completely specified at all times. Explicit expressions for the sequence of the product of population projection matrices are given. From these, relative age distribution and reproductive values to any desired accuracy are obtained as functions of the vital rates. Thus, the results given in this paper are stronger than any existing weak ergodic theorems.
通过将年龄组数量限制为两个并引入连分数，具有确定性变化的生命率的种群动态在任何时候都能被完全确定。给出了种群投影矩阵乘积序列的显式表达式。由此，作为生命率的函数，可以得到任意所需精度的相对年龄分布和繁殖值。因此，本文给出的结果比任何现有的弱遍历定理都更强。
