• Title/Summary/Keyword: 로트카-오일러식

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A Short Review for the Estimation Method of Intrinsic Rate of Natural Increase According to the Setting of Initial Age for the Study Cohort in the Lotka Life Table (로트카 생명표에서 연구 집단의 초기연령 설정에 따른 내적자연증가율 추정방법에 대한 고찰)

  • Dong-soon, Kim
    • Korean journal of applied entomology
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    • v.61 no.4
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    • pp.549-554
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    • 2022
  • Life table-related studies in insect ecology have been an interesting topic for insect researchers. Two calculation methods are commonly applied to estimate the intrinsic rate of natural increase (rm) in the life table statistics. The first method is to estimate an approximate rm by dividing the natural logarithm of the net reproductive rate (R0) by mean generation time (T) (namely mean generation time-based method). Another approach is to apply the Lotka-Euler equation derived from the population growth equation of Lotka-Volterra to estimate accurate rm using the maximum likelihood method (Lotka-Euler equation-based method). In the latter case, there is a difference in the estimated rm value when the initial age class of the target cohort was set to "0" or "1", which confused the application. In this short review, a brief history of the calculation process of the life table was reviewed. It was again confirmed in the Lotka-Euler equation-based method that the form of $\sum\limits_{x=1}^{w}e^{-rx}l_xm_x=1$ should be applied to estimate rm when the first age class was set to zero, while the form of $\sum\limits_{x=0}^{w}e^{-r(x+1)}l_xm_x=1$ when set to one.