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	安定人口理論	生命表解析
分野	人口学	人口学
系統	Regression model	Survival analysis
提唱年	1972	1984
提唱者	Alfred J. Lotka; Ansley Coale	Demographic/actuarial tradition; Chiang
種類	Mathematical demographic model	Age-structured mortality estimator
原典	Coale, A. J. (1972). The Growth and Structure of Human Populations: A Mathematical Investigation. Princeton University Press. ISBN: 978-0-691-09357-4	Chiang, C. L. (1984). The Life Table and Its Applications. Robert E. Krieger Publishing. ISBN: 978-0-89874-565-2
別名	Lotka-Coale Stable Population Model, Stable Age Distribution Theory, Stationary Population Theory, Kararlı Nüfus Teorisi	Mortality Table, Actuarial Table, Survival Table, Yaşam Tablosu
関連	2	3
概要	Stable Population Theory is a mathematical framework in demography that describes the age structure and growth dynamics of a closed population subject to constant age-specific fertility and mortality schedules over a long period. Foundational work by Alfred J. Lotka established the core integral equation in the early twentieth century, and Ansley Coale's 1972 mathematical synthesis became the definitive theoretical reference, showing that any population exposed to invariant vital rates will converge to a unique stable age distribution growing at a fixed intrinsic rate of natural increase.	A life table is a systematic, age-structured summary of the mortality experience of a population. It traces a hypothetical cohort of births — conventionally 100,000 — through successive age intervals, recording how many survive, how many die, and how many person-years are lived at each interval. The method was formalized in its modern probabilistic form by Chiang (1984), synthesizing centuries of actuarial and demographic practice into a rigorous statistical framework applicable to human and biological populations alike.