• Title/Summary/Keyword: Schumacher growth function

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The Development of Growth and Yield Models for the Natural Broadleaved-Korean Pine Forests in Northeast China (중국(中國) 동북부(東北部) 지방(地方) 활엽수(闊葉樹)-잣나무 천연림(天然林)의 생장(生長) 모델과 수확(收穫) 모델 개발(開發))

  • Li, Fengri;Choi, Jung-Kee;Kim, Ji-Hong
    • Journal of Korean Society of Forest Science
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    • v.90 no.5
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    • pp.650-662
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    • 2001
  • The growth and yield models for five different kinds of natural forest types were systemically developed in the natural Broadleaved-Korean pine Forests in Northeast China. The data were collected from 359 temporary plots and 58 permanent plots with area ranged from 0.06 ha to 1.0 ha, ranging in stand age from 43 to 364 years. The Site Class Index (SCI) was introduced to evaluate site quality and the Crown Competition Factor (CCF) was selected as a measure of stand density for the mixed natural forest. The Chapman-Richards function was adopted to develop SCI equation and height-diameter curve. The Schumacher growth function was selected as base model to develop the DBH, basal area, and stand volume growth models by using re-parameterized method. In modeling mean DBH and basal area growth, it was found that the asymptotic parameter A of Schumacher function was exponentially related to site quality (SCI) and stand density (CCF). The rate parameter k was related to stand density and it was independent of SCI. Several validation measures for predicted stand variables were evaluated in the growth and yield models using independent data sets. The results indicated that relative mean errors (RME) in predicted stand attributes were less than ${\pm}5%$ and the estimated precision values of the stand variables were all greater than 95%.

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Estimating Diameter and Height Growth for Pinus densiflora S. et Z. Using Non-linear Algebraic Difference Equations (비선형(非線型) 대수차분(代數差分) 방정식(方程式)을 이용(利用)한 소나무 직경(直徑) 및 수고(樹高) 생장(生長) 추정(推定))

  • Lee, Sang-Hyun
    • Journal of Korean Society of Forest Science
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    • v.90 no.2
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    • pp.210-216
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    • 2001
  • Pinus densiflora S. et Z. has widely been distributed, and is one of the important main foret resources in Korea. Diameter and height growth patterns were estimated using non-linear algebraic difference equation, which requires two-measurement times $T_1$ and $T_2$. To maximize data use, all possible measurement interval data were derived using Lag and Put statements in the SAS. In results, of the algebraic difference equations applied, the Schumacher and the Gompertz polymorphic equations for diameter and height, respectively showed the higher precision of the fitting. In order to allow more precise estimation of growth than those of the basic Schumacher and the Gompertz, further refinement that combine biological realism as input into the equation would be necessary.

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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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Characteristics of Growth and Development of Empirical Stand Yield Model on Pinus densiflora in Central Korea (중부지방소나무의 생장특성 및 경험적 임분수확모델 개발)

  • Jeon, Ju Hyeon;Son, Yeong Mo;Kang, Jin Taek
    • Journal of Korean Society of Forest Science
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    • v.106 no.2
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    • pp.267-273
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    • 2017
  • This study was conducted to construct a empirical yield table for Pinus densiflora in real forest. Since existing normal yield tables have been derived by studying and analyzing communities in ideal environment for tree growth, those tables provide more over-estimated values than ones from real forest. Because of this, there are some difficulties to apply the tables to empirical forest except for normal forest. In this study, therefore, we estimated stand growth for real forest on P. densiflora as the representative species of conifers. We used 1,957 sample plot data of P. densiflora in central Korea from National Forest Inventory (NFI) system, and analyzed through estimation, recovery and prediction in order by using Weibull function as a diameter distribution model. Weilbull and Schumacher models were applied for estimating mean DBH and mean basel area and it was found that the site index for P. densiflora in central Korea ranges from 8 to 14 at reference age 30. According to site 12 in the stand yield table, the Mean Annual Increment (MAI) of P. densiflora was $4.42m^3/ha$ at 30 years of age. Compared to existing volume table constructed before, it is showed that MAI of this study were lower. According to the paired t-test that is conducted with the gap of volume values between normal forest and real forest by site index and age, the P-value was less than 0.001 which is recognized to have a statistically significant difference. Based on the results in this study, it is considered to be helpful for practical management and management policy on P. densiflora in central Korea.

Development of Site Index Curves and Comparison with National Scale for Cryptomeria japonica in Gyeongsang-do (경상도 지역 삼나무의 지위지수 곡선 개발 및 비교 검정)

  • Park, Hee-Jung;Choi, Suk-Won;Ko, Byung-Jun;Lee, Sang-Hyun
    • Journal of Korean Society of Forest Science
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    • v.110 no.4
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    • pp.658-664
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    • 2021
  • This study aimed to develop accurate status site index curves for C. japonica in Gyeongsang-do that reflect the regional characteristics. The development of high-growth models in Chapman-Richards, Schumacher, and Gompertz for 552 C. japonica growing in Gyeongsang-do. The Gompertz growth function is the most suitable for developing site index curves. The comparative test was analyzed using the F test at a significance level of 5% and the graph. As a result, compared with the national site index curves and site index curves under base age in Jeolla-do, the p-value was 0.05 or higher, and there was no statistically significant difference. The p-value was 0.05 or lower compared with site index curves over stand age in Jeolla-do, indicating a statistically significant difference. Therefore, it was determined that site index curves for C. japonica in Gyeongsang-do can be applied to the national site index curves and site index curves under base age in Jeolla-do, but not to site index curves over base age in Jeolla-do. Hence, based on the results of the study, it is possible to provide basic data on the forest management system for C. japonica in Gyeongsang-do and systematic and reasonable management through high field application reflecting regional characteristics.