Journal of Korean Society of Forest Science (한국산림과학회지)

Korean Society of Forest Science (한국산림과학회)
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Applicability Evaluation of a Mixed Model for the Analysis of Repeated Inventory Data : A Case Study on Quercus variabilis Stands in Gangwon Region

반복측정자료 분석을 위한 혼합모형의 적용성 검토: 강원지역 굴참나무 임분을 대상으로

  • Pyo, Jungkee (Forest Practice Research Center, Korea Forest Research Institute) ;
  • Lee, Sangtae (Forest Practice Research Center, Korea Forest Research Institute) ;
  • Seo, Kyungwon (Forest Practice Research Center, Korea Forest Research Institute) ;
  • Lee, Kyungjae (Forest Practice Research Center, Korea Forest Research Institute)
  • 표정기 (국립산림과학원 산림생산기술연구소) ;
  • 이상태 (국립산림과학원 산림생산기술연구소) ;
  • 서경원 (국립산림과학원 산림생산기술연구소) ;
  • 이경재 (국립산림과학원 산림생산기술연구소)
  • Received : 2014.07.28
  • Accepted : 2014.11.02
  • Published : 2015.03.31
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Abstract

The purpose of this study was to evaluate mixed model of dbh-height relation containing random effect. Data were obtained from a survey site for Quercus variabilis in Gangwon region and remeasured the same site after three years. The mixed model were used to fixed effect in the dbh-height relation for Quercus variabilis, with random effect representing correlation of survey period were obtained. To verify the evaluation of the model for random effect, the akaike information criterion (abbreviated as, AIC) was used to calculate the variance-covariance matrix, and residual of repeated data. The estimated variance-covariance matrix, and residual were -0.0291, 0.1007, respectively. The model with random effect (AIC = -215.5) has low AIC value, comparison with model with fixed effect (AIC = -154.4). It is for this reason that random effect associated with categorical data is used in the data fitting process, the model can be calibrated to fit repeated site by obtaining measurements. Therefore, the results of this study could be useful method for developing model using repeated measurement.

본 연구의 목적은 임의효과(random effect)를 포함하는 혼합모형(mixed model)을 이용하여 흉고직경과 수고의 변화량을 평가하는데 있다. 강원도 굴참나무 임분을 대상으로 흉고직경과 수고를 조사하고 3년 후 동일 임분을 재조사하였다. 혼합모형에서 굴참나무의 흉고직경-수고 관계는 고정효과(fixed effect)이고 초기측정과 반복측정의 흉고직경과 수고 차이를 임의효과로 설정하였다. 임의효과에 따른 모형의 적합도를 검정하기 위하여 아카이케의 정보기준(akaike information criterion, AIC)을 참고하고 반복 측정에 따른 분산-공분산 행렬과 오차항을 산정하였다. 추정된 공분산은 -0.0291이고 오차항은 0.1007을 나타내었다. 분산-공분산 행렬을 이용한 임의효과가 포함된 모형의 AIC(=-215.5)는 고정효과를 고려한 모형의 AIC(=-154.4)에 비해 낮은 수치를 나타내었다. 이러한 결과는 범주형 자료의 임의효과가 모형 개발에 반영되는 결과인 것으로 조사되었다. 그러므로, 본 연구에서 적용된 혼합모형은 반복 측정 자료를 이용한 모형 개발에 활용이 가능한 것으로 판단된다.

Keywords

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