Compensating changes in fertility and mortality | Zendy

Thomas J. Espenshade | Zendy; C. Y. Chan | Zendy

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Compensating changes in fertility and mortality

Author(s) -

Thomas J. Espenshade,

C. Y. Chan

Publication year - 1976

Publication title -

demography

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.099

H-Index - 129

eISSN - 1533-7790

pISSN - 0070-3370

DOI - 10.2307/2060533

Subject(s) - fertility , perspective (graphical) , population , total fertility rate , variety (cybernetics) , set (abstract data type) , class (philosophy) , econometrics , demography , mathematics , statistics , research methodology , computer science , family planning , sociology , geometry , artificial intelligence , programming language

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, λ1. A root-squaring technique is adapted for the purpose of estimating λ1. Finally, a variety of compensating fertility and mortality changes is illustrated using data from Japan.

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