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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Euler–Lotka equation ： ウィキペディア英語版 Euler–Lotka equation In the study of age-structured population growth, probably one of the most important equations is the Lotka–Euler equation. Based on the age demographic of females in the population and female births (since in many cases it is the females that are more limiting in the ability to reproduce), this equation allows for an estimation of how a population is growing. The field of mathematical demography was largely developed by Alfred J. Lotka in the early 20th century, building on the earlier work of Leonhard Euler. The Euler–Lotka equation, derived and discussed below, is often attributed to either of its origins: Euler, who derived a special form in 1760, or Lotka, who derived a more general continuous version. The equation in discrete time is given by :$1\; =\; \backslash sum\_^\backslash omega\; \backslash lambda^\backslash ell(a)b(a)$ where $\backslash lambda$ is the discrete growth rate, ''ℓ''(''a'') is the fraction of individuals surviving to age ''a'' and ''b''(''a'') is the number of individuals born at time ''a''. The sum is taken over the entire life span of the organism. ==Derivations== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Euler–Lotka equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.