摘要
年龄特定的富饶率和女性的全部的富饶率是在人口动力学的最重要的参数。这份报纸建议一个算法从起始的年龄分发和年跟随了的全部的人口得到这些参数。这个想法在全部的人口是的意义是自然的容易在一个关上的社会被获得。作者使用一个分离人口模型提出这个问题进一个反的问题，它通常是提出病的。为 identifiability 的一个必要、足够的条件被建立。为年龄特定的富饶率的重建的一个算法被开发。
Age-specific fertility rate and total fertility rate of females are the most important parame- ters in population dynamics. This paper proposes an algorithm to get these parameters from the initial age distribution and the total population the years followed. The idea is natural in the sense that the total population is easily to be obtained in a closed society. The authors use a discrete population model to formulate this problem into an inverse problem, which is ill-posed generally. A necessary and sufficient condition for the identifiability is established. An algorithm for reconstruction of age-specific fertility rate is developed.
基金
supported by the National Natural Science Foundation of China
the National Research Foundation of South Africa
