한국응용곤충학회지 (Korean journal of applied entomology)

  • 제61권4호
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  • Pages.549-554
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  • 2022
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  • 1225-0171(pISSN)
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  • 2287-545X(eISSN)
한국응용곤충학회 (Korean Society of Applied Entomology)
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로트카 생명표에서 연구 집단의 초기연령 설정에 따른 내적자연증가율 추정방법에 대한 고찰

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

  • 김동순 (제주대학교 생명자원과학대학(SARI))
  • Dong-soon, Kim (Majors in Plant Resource Sciences & Environment, College of Applied Life Science, SARI, Jeju National University)
  • 투고 : 2022.08.15
  • 심사 : 2022.10.04
  • 발행 : 2022.12.01
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초록

곤충생태 분야에서 생명표와 관련된 연구는 곤충연구자들에게 많은 관심을 받는 주제중 하나이다. 보통 두 가지 방법으로 생명표 통계량중 내적자연증가율을 추정하고 있는데, 첫 번째 하나는 순증가율(R0)에 자연로그를 취하고 평균세대기간(T)으로 나누어 근사치를 계산하는 방법이다(세대기간-기반 추정법). 다른 하나는 로트카-볼테라 개체군 생장 방정식에서 유도하여 최대우도법으로 정확한 내적자연증가율을 추정하는 방법이다(로트카-오일러식-기반 추정법). 후자의 경우 대상 집단의 초기 연령등급을 "0" 또는 "1"로 설정함에 따라 추정값에 차이가 발생하여 적용에 혼란이 제기되었다. 본 고찰에서는 생명표 통계량 계산과정의 역사를 간단히 정리하고, 로트카-오일러식-기반 추정법에서 최초 연령등급을 1로 설정한 경우 $\sum\limits_{x=1}^{w}e^{-rx}l_xm_x=1$의 형식, 반면 최초 연령등급을 0으로 설정한 경우 $\sum\limits_{x=0}^{w}e^{-r(x+1)}l_xm_x=1$의 형식을 적용해야 함을 재확인하였다.

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.

키워드

과제정보

This work was supported by the 2022 education, research and student guidance grant funded by Jeju National University. We are grateful to Sustainable Agriculture Research Institute (SARI) in Jeju National University for providing the experimental facilities.

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