• 제목/요약/키워드: height growth model

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Height Growth Models for Pinus thunbergii in Jeju Island

  • Park, Gildong;Lee, Daesung;Seo, Yeongwan;Choi, Jungkee
    • Journal of Forest and Environmental Science
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    • 제31권4호
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    • pp.255-260
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    • 2015
  • Height growth models for Pinus thunbergii in Jeju Island were developed in this study using four widely used nonlinear growth models; Exponential, Modified Logistic, Chapman-Richards, and Weibull. All functions were found to be significant at the 1% level. Chapman-Richards model for height-DBH allometry and Weibull model for height-age allometry was chosen as the best model on the all validation. All the model curves showed the similar pattern. Additionally, there was no abnormal pattern when the previous studies were compared. Therefore, these models are highly expected to be used to estimate the tree height using DBH or age for Pinus thunbergii especially in Jeju Island.

곰솔임분(林分)의 직경(直徑) 및 수고생장(樹高生長) 추정(推定)에 관한 연구(硏究) (Estimation of Diameter and Height Growth in Pinus thunbergii Stands Using Linear and Nonlinear Growth Functions)

  • 박명숙;정영관
    • 한국산림과학회지
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    • 제88권1호
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    • pp.47-54
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    • 1999
  • 지위지수(地位指數) 12등급인 곰솔임분에 대한 최적(最適)의 직경(直徑) 및 수고생장함수(樹高生長函數)를 linear transformation(1), linear transformation(2) 등 2개의 선형식(線型式)과 exponential, Gompertz, Chapman-Richards, Weibull 등 4개의 비선형식(非線型式)에 의하여 도출하였다. 이들 함수에 의하여 추정된 직경 및 수고생장과 실측치인 직경 및 수고생장간의 상호관계를 분석하였다. 곰솔임분의 임령에 따른 직경과 수고생장을 추정한 결과는 선형식보다 비선형식의 적합성이 높게 나타났으며, 직경생장에는 Gompertz식, 그리고 수고생장에는 Chapman-Richards식의 적합성이 높게 나타났으나, 이들 비선형식간의 큰 차이는 없는 것으로 나타났다. 따라서 앞으로 이들 비선형식을 적용하여 현실임분(現實林分)의 직경과 수고생장을 추정하여야 할 것으로 사료된다.

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한국 청소년(만 17세) 체격의 시대적 변천에 대한 통계적 모형 추정 -1983년부터 1993년까지- (Statistical Estimated Model of Chronological Change in Physical Growth and Development in Korean Youth(17 Years Old) - From 1983 To 1993 -)

  • 성웅현;윤석옥;윤태영;최중명;박순영
    • 보건교육건강증진학회지
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    • 제12권2호
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    • pp.36-47
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    • 1995
  • This research was obtained from analyzing how the physiques of the 3rd grade students of high school for males and females and developed for the last eleven years(from 1983 to 1993). By the physiques and nutritional index of physical growth and development, Relative Body Weight of 36.62 exceeded the standard, on the other hand females showed lower records than the standard. Relative Chest Girth Index belonged to the normal type of males and females in all, in the comparison of the records between 1983 and 1993, males increased in average 0.29 and females in average 0.55. Relative Chest Girth Index of females was greater than that of females. By the results of Relative Sitting Height Index, growth of the lower body for males and females was greater than that of males. In case of Vervaeck Index, males increased in average 2.04 but females increased in average 1, 20 relatively less than males. These phenomena provided for the evidence of the deficient nutrition in females. In the regression models of body height and body weight within a certain period, statistical regression model types which best indicated chronological average changes of body height and body weight, took 3rd Order Polynomial Regression Model rather than linear regression model. In females, statistical regression model types which best is suitable for chronological average change of body height and body weight, took 4th and 2nd Order Polynomial Regression Model respectively. The prediction value of 1995 by estimated polynomial regression model anticipated that body height of 3rd grade year students of high school of males in 1993 went on increasing from 170.87cm to 171.79cm in average 0.92cm growth and that of females from 158.99cm to 160.79cm in average 1.80cm growth. In addition, body weight of males seemed to increase from 62.58kg to 64.52kg in average 1.94kg growth and that of females seemed to increase from 54.05kg to 54.19kg in average 0.14kg growth. Linear Regression Model was suitable for the regression model of body weight for body height. Prediction on increase of an average body weight for body height was that, according to growth of body height 1cm in males, body weight increased 1.41kg averagely and that of females 0.86kg. For that reason, we came to conclusion that body weight increase for body height 1cm in males was greater than that in females on average.

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Growth curve estimates for wither height, hip height, and body length of Hanwoo steers (Bos taurus coreanae)

  • Park, Hu-Rak;Eum, Seung-Hoon;Roh, Seung-Hee;Sun, Du-Won;Seo, Jakyeom;Cho, Seong-Keun;Lee, Jung-Gyu;Kim, Byeong-Woo
    • 농업과학연구
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    • 제44권3호
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    • pp.384-391
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    • 2017
  • Growth curves in Hanwoo steers were estimated by Gompertz, Von Bertalanffy, Logistic, and Brody nonlinear models using growth data collected by the Hanwoo Improvement Center from a total of 6,973 Hanwoo (Bos taurus coreanae) steers 6 to 24 months old that were born between 1996 and 2015. The data included three parameters: A, mature size of body measurement; b, growth ratio; and, k, intrinsic growth rate. Nonlinear regression equations for wither height according to Gompertz, Von Bertalanffy, Logistic, and Brody models were $Y_t=144.7e^{-0.5869e^{-0.00301t}}$, $Y_t=145.3(1-0.1816e^{-0.00284t})^3$, $Y_t=143.1(1+0.7356e^{-0.00352t})^{-1}$, and $Y_t=146.8(1+0.4700e^{-0.00249t})^1$, respectively, while those for hip height were $Y_t=144.5e^{-0.5549e^{-0.00312t}}$, $Y_t=145.0(1-0.1724e^{-0.00295t})^3$, $Y_t=143.1(1+0.6863e^{-0.00360t})^{-1}$, and $Y_t=146.2(1+0.4501e^{-0.00263t})^1$, respectively. Equations for body length $Y_t=174.1e^{-0.8342e^{-0.00289t}}$, $Y_t=175.8(1-0.2500e^{-0.00265t})^3$, $Y_t=170.0(1+1.1548e^{-0.00363t})^{-1}$, and $Y_t=180.3(1+0.6077e^{-0.00215t})^1$, respectively, for the same models. Among the four models, the Brody model resulted in the lowest mean square error, with mean square errors of 31.79, 30.57, and 42.13, respectively, for wither height, hip height, and body length. Also, an estimated birth wither height, birth hip height, and birth body length (77.98, 80.57, and 70.97 cm, respectively) were lower in the Brody model than in other models. An inflection point was not observed during the growth phase of Hanwoo steer according to the growth curves calculated using Gompertz, Von Bertalanffy, and Logistic models. Based on the results, we concluded that the regression equation using the Brody model was the most appropriate among the four growth models. To obtain more accurate parameters, however, using data from a wider production period (from birth to shipping) would be required, and the development of a suitable model for body conformation traits would be needed.

전라도 지역 소나무와 편백에 대한 수고생장모델 및 지위지수곡선 개발 (Developing Dominant Tree Height Growth Curve and Site Index Curves for Pinus densiflora and Chamaecyparis obtusa Grown in Jeolla-do)

  • 박희정;이상현
    • 한국산림과학회지
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    • 제108권3호
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    • pp.364-371
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    • 2019
  • 본 연구는 전라도 지역의 주요 수종인 소나무와 편백의 흉고직경에 따른 우세목의 수고생장모델과 지위지수곡선을 개발하여 합리적인 경영과 지속가능한 산림경영체계의 기초자료를 제공할 목적으로 실시하였다. 데이터는 맞춤형 조림지도 제작을 위한 전라도 지역에 생육하고 있는 소나무 3,055본(611개 표본점), 편백 3,345본(669개 표본점)에 대한 표고, 경사도, 방위, 토양형, 우세목의 수고와 흉고직경, 수령 등을 측정하여 수집하였다. 전라도 지역 소나무와 편백에 대한 흉고직경에 따른 우세목의 수고생장모델은 Petterson식, Michailow식, Log식을 이용하였으며, 연령에 따른 우세목의 수고생장모델은 Chapman-Richards식, Schumacher식, Gompertz식을 이용하여 개발하였다. 흉고직경에 따른 우세목의 수고생장모델은 소나무와 편백 모두 잔차평균제곱의 값이 가장 낮은 Pettersosn식을 선정하였다. 연령에 따른 우세목의 수고생장모델은 국가수준에서 사용하고 있는 Chapman-Richards식을 선정하였다. 지위지수의 추정을 위하여 기준임령(Base age)은 30년을 사용하였다. 그 결과 소나무는 지위지수 6~18, 편백은 지위지수 6~22로 국가수준에서 사용하고 있는 지위지수곡선에 비해 매우 다양하게 지위를 추정할 수 있어, 현실임분의 합리적인 경영을 위한 자료제공에 적합한 것으로 판단된다.

지하 수위가 다른 조건에서 콩의 초장과 경태 모델링 (Modeling Growth of Canopy Heights and Stem Diameters in Soybeans at Different Groundwater Level)

  • 최진영;김동현;권순홍;최원식;김종순
    • 한국산업융합학회 논문집
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    • 제20권5호
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    • pp.395-404
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    • 2017
  • Cultivating soybeans in rice paddy field reduces labor costs and increases the yield. Soybeans, however, are highly susceptible to excessive soil water in paddy field. Controlled drainage system can adjust groundwater level (GWL) and control soil moisture content, resulting in improvement soil environments for optimum crop growth. The objective of this study was to fit the soybean growth data (canopy height and stem diameter) using Gompertz model and Logistic model at different GWL and validate those models. The soybean, Daewon cultivar, was grown on the lysimeters controlled GWL (20cm and 40cm). The soil textures were silt loam and sandy loam. The canopy height and stem diameter were measured from the 20th days after seeding until harvest. The Gompertz and Logistic models were fitted with the growth data and each growth rate and maximum growth value was estimated. At the canopy height, the $R_2$ and RMSE were 0.99 and 1.58 in Gompertz model and 0.99 and 1.33 in Logistic model, respectively. The large discrepancy was shown in full maturity stage (R8), where plants have shed substantial amount of leaves. Regardless of soil texture, the maximum growth values at 40cm GWL were greater than the value at 20cm GWL. The growth rates were larger at silt loam. At the stem diameter, the $R_2$ and RMSE were 0.96 and 0.27 in Gompertz model and 0.96 and 0.26 in Logistic model, respectively. Unlike the canopy height, the stem diameter in R8 stage didn't decrease significantly. At both GWLs, the maximum growth values and the growth rates at silt loam were all larger than the values at sandy loam. In conclusion, Gompertz model and Logistic model both well fit the canopy heights and stem diameters of soybeans. These growth models can provide invaluable information for the development of precision water management system.

Models Describing Growth Characteristics of Holstein Dairy Cows Raised in Korea

  • Vijayakumar, Mayakrishnan;Choy, Yun-Ho;Kim, Tae-Il;Lim, Dong-Hyun;Park, Seong-Min;Alam, Mahboob;Choi, Hee-Chul;Ki, Kwang-Seok;Lee, Hyun-Jeong
    • 한국초지조사료학회지
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    • 제40권3호
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    • pp.167-176
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    • 2020
  • The objective of the present study was to determine the best model to describe and quantify the changes in live body weight, height at withers, height at rump, body length and chest girth of Holstein cows raised under Korean feeding conditions for 50 months. The five standard growth models namely polynomial linear regression models, regression of growth variables on the first and second-order of ages in days (model 1) and regression of growth variables on age covariates from first to the third-order (model 2) as well as non-linear models were fitted and evaluated for representing growth pattern of Holstein cows raised in Korean feeding circumstances. Nonlinear models fitted were three exponential growth curve models; Brody, Gompertz, and von Bertalanffy functional models. For this purpose, a total of 22 Holstein cows raised in Korea used in the period from April 2016 to May 2020. Each model fitted to monthly growth curve records of dairy cows by using PROC NLIN procedure in SAS program. On the basis of the results, nonlinear models showed the lower root mean square of error (RMSE) for live body weight, height at withers, height at rump, body length and chest girth (12.22, 1.95, 1.55, 4.04, 2.06) with higher correlation coefficiency (R2) values for live body weight, height at withers, height at rump, body length and chest girth (0.99, 0.99, 0.99, 1.00, 1.00). Overall, the evaluation of the different growth models indicated that the Gompertz model used in the study seemed to be the most appropriate one for standard growth of Holstein cows raised under Korean feeding system.

우리나라 주요수종의 Allometry와 개체목 흉고단면적 생장모델 개발 (Development of Allometry and Individual Basal Area Growth Model for Major Species in Korea)

  • 최정기
    • Journal of Forest and Environmental Science
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    • 제27권1호
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    • pp.47-54
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    • 2011
  • Allometry and basal area equations were developed with various tree measurement variables for the major species; Quercus variabilis, Quercus mongolica, Pinus koraiensis and Larix leptolepis in Korea. For allometry models, the relationships between total height-DBH, crown width-DBH, height to the widest portion of the crown-total height, and height to base of crown-total height were investigated. Multiple regression methods were used to relate annual basal area growth to tree variables of initial size (DBH, total height, and crown width), relative size (relative diameter and relative height) as well as competition measures (competition index, crown class, and live crown ratio).

Nonlinear Height-DBH Growth Models for Larix kaempferi in Gangwon and North Gyeongsang Province

  • Lee, Daesung;Choi, Jungkee;Seo, Yeongwan;Kim, Euigyeong
    • Journal of Forest and Environmental Science
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    • 제30권2호
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    • pp.201-207
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    • 2014
  • This study was conducted to estimate the best-fit nonlinear height-DBH growth models for Larix kaempferi in Gangwon and North Gyeongsang province in South Korea. Exponential, Modified Logistic, Chapman-Richards, and Weibull function were used for estimating height-DBH models. To evaluate the selected models, $R^2$, RMSE, MD, MAD, and residual plots were performed in each model. Also, the coefficients and patterns in models of the previous studies were compared with those in this study. The result showed that Weibull equation was found to be the best-fit model with $R^2$=0.9837, RMSE=2.6133, MD=0.0089, and MAD=2.0896. All model parameters in our study had similar values to those in the previous models except for asymptotic parameter a. Our research result showed that Gangwon and North Gyeongsang province were superior to other provinces with regard to height growth for Larix kaempferi.

Schnute 생장함수를 이용한 오서산지역 소나무림의 지위지수 추정 (Estimation of Site Index Equation for Pinus densiflora at Mt. Osu Region using Schnute Growth Function)

  • 표정기;이영진;손영모;이경학;문현식
    • 농업생명과학연구
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    • 제43권4호
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    • pp.9-14
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    • 2009
  • 본 연구의 목적은 충남 오서산지역 소나무림을 대상으로 전반적인 수고생장 패턴과 지위지수식을 추정하고자 한다. 조사대상 지역은 충남 보령시와 청양군 일대의 소나무림을 대상으로 총 7개소의 조사지를 선정하여 매목조사를 실사하였으며, 이 중에서 총 21본의 표본목을 벌도하여 원판을 채취하였다. 채취한 원판들은 1/100mm의 정밀도를 가진 정밀연륜분석기(Model: DTRS-2000)를 사용하여 1년 단위의 수고, 직경, 재적 등의 생장량을 계산하였다 본 연구에서는 총 181개의 수고-수령 관측치를 사용하여 Schnute의 생장함수식에 적용하였고 일반적인 수고생장의 패턴을 추정하였으며, 또한 이를 이용하여 기준임령을 30년으로 한 동형의 지위지수 추정식을 유도하였다. 본 연구에서 제시된 수고 및 지위지수 추정식은 충남지역에서 소나무림이 가장 많이 분포하고 있는 오서산지역 소나무림의 생장을 파악하는데 중요한 정보를 제시해 줄 것으로 사료된다.