• Title/Summary/Keyword: Schumacher projection equation

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Selection of Growth projection Intervals for Improving Parameter Estimation of Stand Growth Model (임분(林分) 생장(生長) 모델의 모수(母數) 추정(推定) 능력(能力) 향상(向上)을 위(爲)한 생장(生長) 측정간격(測定間隔)의 선택(選擇))

  • Lee, Sang Hyun
    • Journal of Korean Society of Forest Science
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    • v.87 no.1
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    • pp.40-49
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    • 1998
  • This study aimed to provide a strategy for selecting an adequate combination of growth intervals(i.e. times between age $T_1$ and age $T_2$) to be used to improve the reality of the growth equation through obtaining better precision of parameter estimates. Variety of growth functions were fitted to the data and one equation which best fitted the data was chosen for the analysis. A modified Schumacher projection equation, selected as a best equation, that included dummy variables representing locality as a predictor variable was fitted for basal area and height equations with nonoverlapping growth interval and all possible growth interval data sets of Douglas-fir(Pseudotsuga menziesii Mirb.Franco). The data were measured in all parts of the South Island of New Zealand. It was found that the precision of parameter estimates was increased in both basal area and height equations by using data set which contained a range of measurement intervals from short to long term.

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Derivation of Basal Area Projection Function for Forest Plantation Using Medium (3-5years) Measurement Cycles (중간(中間) 측정(測定) 주기(週期) (3-5년)를 이용(利用)한 인공림(人工林)의 흉고단면적(胸高斷面績) 추정(推定) 함수(函數)의 유도(誘導))

  • Lee, Sang-Hyun
    • Journal of Korean Society of Forest Science
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    • v.89 no.4
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    • pp.463-469
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    • 2000
  • Douglas-fir (Pseudotsuga menziesd Mirb. Franco) is highly regarded as a commercial timber species throughout the world in part due to its fast growth relative to many other species. In this study, basal area per hectare equation for Douglas-fir plantations in Southland of New Zealand has been developed based on medium measurement cycles of permanent sample plots data set. The function was developed using the algebraic difference equation method, and various sigmoid-shaped projection equations were used. Parameter estimation was obtained by non-linear routine of the SAS. As a result, of the functions tested a variant of the Schumacher polymorphic function including site index and thinning term as predictor variables showed the higher precision of the fitting. The results indicate that site index is positively correlated with basal area growth. And the thinning term was found to be useful to increase precision of the model.

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Estimation of Diameter and Basal Area Growth Pattern for Thuja orientalis Stand Grown in Yeongcheon (영천 측백림의 직경 및 흉고단면적 생장추정)

  • Lee, Sang-Hyun;Lee, Hoi-Seon;Kim, Hyun;Choi, Soo-Im;Cho, Young-Jin;Lim, Ho-Sub
    • Journal of Korean Society of Forest Science
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    • v.96 no.1
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    • pp.29-33
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    • 2007
  • The objective of this research was to provide basic information of Thuja orientalis stand for prediction system, which consists of the best model of diameter and basal area. Data was from cores of 45 sample trees of Thuja orientalis stand that was designated as a natural monument (No. 62) in Yeongcheon, Chungbuk. Of the projection functions tested, polymorphic equation using the overlapping data showed higher precision of the fitting than anamorphic equation using. In diameter growth, Schumacher polymorphic equation of $D_2={\exp}({\ln}(D_1)(T_1/T_2)^{0.4495}+3.8535(1-(T_1/T_2)^{0.4495}))$, and in basal area growth, Schumacher polymorphic equation of $BA_2={\exp}({\ln}(BA_1)(T_1/T_2)^{0.1235}+11.3793(1-(T_1/T_2)^{0.1235}))$ showed the highest precision of the fitting among them. The equation, therefore, could be available as basic information for estimation of growth and management of Thuja orientalis stand.