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Gompertz, von Bertalanffy, Logistic 및 Brody 모형을 이용한 우리나라 Jersey 암소의 체고 성장 곡선 모수 추정

Estimation of Wither Height Growth Curve Parameters of Korean Female Jersey Cattle Using Gompertz, von Bertalanffy, Logistic, and Brody Models

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초록

본 연구의 목적은 우리나라 Jersey 암소 56두로부터 조사된 체고 데이터에 대해 성장 모형을 추정하고, 추정된 체고 성장 모형의모수를 활용하여 우리나라 Jersey 암소의 체고 성장 기초 자료를 제공하고자 실시하였다. 추정된 Gompertz, von Bertalanffy, Logistic 및 Brody 모형의 체고 성장 곡선 함수식은 각각 이었다. 추정된 Gompertz, von Bertalanffy 및 Logistic 모형의 모수를 이용하여 성장 특성을 분석한 결과 변곡점월령이 각각 -0.3880, -5.235 및 -0.426월로 성장 기간 중 존재하지 않았다. Gompertz, von Bertalanffy, Logistic 및 Brody 모형에 대한오차 평균 제곱합은 각각 14.189, 14.083, 14.730 및 14.011로 추정되었으며, 모형 결정 계수는 각각 0.971, 0.972, 0.970 및 0.972로 추정되었다. 각 모형의 오차 평균 제곱합과 모형 결정 계수의 결과를 종합해보면 Brody 모형이 Jersey 암소의 체고 성장 곡선에 적합도가 좋은 것으로판단된다.

Abstract

Growth curve parameters and characteristics of 56 heads of female Jersey cattle from South Korea were estimated using wither height data. Growth curve functions for wither height according to Gompertz, von Bertalanffy, Logistic, and Brody models were respectively. An inflection point of wither height was not observed during the growth period of female Jersey cattle calculated by Gompertz, von Bertalanffy, and Logistic models parameters. The estimated residual mean squares were 14.189, 14.083, 14.730, and 14.011, the estimated correlation coefficients were 0.97146, 0.97167, 0.97037, and 0.97182 for Gompertz, von Bertalanffy, Logistic, and Brody models, respectively. Based on the results, we concluded that the Brody model was the most appropriate compared to Gompertz, von Vertalanffy, and Logistic models.

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