• Title/Summary/Keyword: von Bertalanffy's growth model

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Estimation of growth curve in Hanwoo steers using progeny test records

  • Yun, Jae-Woong;Park, Se-Yeong;Park, Hu-Rak;Eum, Seung-Hoon;Roh, Seung-Hee;Seo, Jakyeom;Cho, Seong-Keun;Kim, Byeong-Woo
    • Korean Journal of Agricultural Science
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    • v.43 no.4
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    • pp.623-633
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    • 2016
  • A total of 6,973 steer growth records of Hanwoo breeding bull's progeny test data collected from 1989 to 2015 were analyzed to identify the most appropriate growth curve among three growth curve models (Gompertz, Logistic and von Bertalanffy). The Gompertz growth curve model equation was $W_t=990.5e^{{-2.7479e}^{-0.00241t}}$, the Logistic growth curve model equation was $W_t=772(1+8.3314e^{-0.00475t})^{-1}$, and the von Bertalanffy growth curve model equation was $W_t=1,196.4(1-0.646e^{-0.00162t})^3$. The Gompertz model parameters A, b, and k were estimated to be $990.5{\pm}10.27$, $2.7479{\pm}0.0068$, and $0.00241{\pm}0.000028$, respectively. The inflection point age was estimated to be 421 days and the weight of inflection point was 365.3 kg. The Logistic model parameters A, b, and k were estimated to be $772.0{\pm}4.12$, $8.3314{\pm}0.0453$, and $0.00475{\pm}0.000033$, respectively. The inflection point age was estimated to be 445 days and the weight of inflection point was 385.0 kg. The von Bertalanffy model parameters A, b, and k were estimated to be $1196.4{\pm}18.39$, $0.646{\pm}0.0010$, and $0.00162{\pm}0.000027$, respectively. The inflection point age was estimated to be 405 days and the weight of inflection point was 352.0 kg. Mature body weight of the von Bertalanffy model was 1196.4 kg, the Gompertz model was 990.5 kg, and the Logistic model was 772.0 kg. The difference between actual and estimated weights was similar in the Logistic model and the von Bertalanffy model. The difference between market weight and estimated market weight was the lowest in the Gompertz model. The growth curve using the von Bertalanffy model showed the lowest mean square error.

Length-weight Relation and von Bertalanffy's Growth Model of Zacco koreanus Population Distributed in the Tributaries of the Nakdong River (낙동강 지류에 분포하는 참갈겨니 개체군의 전장과 체중 관계 및 von Bertalanffy의 성장모델)

  • Choi, Eui-Yong;Choi, Jae-Seok;Seo, Jin-Won
    • Korean Journal of Ecology and Environment
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    • v.39 no.2 s.116
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    • pp.226-235
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    • 2006
  • Populations of Zacco koreanus, distributed in four different tributaries of mid-upper reach Nakdong River were investigated to analyze a length-weight relation and von Bertalanffy's growth model. Fish sampling was conducted by common method (cast net and kick net) during March to October 2005. Fishes caught in the field were identified immediately, and then individuals of Zacco koreanus were preserved in 10% formalin to further measure their total length and weight in the laboratory. As the results of the equation based on length-weight relation, values of parameter b on the population of all tributaries were greater than 3.0 and the value on Bohyeon Stream was the maximum (3.26), indicating that the fish in the stream became more rotund as the length increases. In the mean time, we examined Brody growth constant (k) induced by the von Bertalanffy's growth model, and we found more steady state population in Wi (-0.18) and Byeongbo (-0.21) Streams than in fan (-0.38) and Bohyeon (-0.37) Streams. The findings would be used to assess local water environment on tributaries of the Nakdong River with understanding of ecological characteristics on the population of Zacco koreanus, as well as provide us fundamental information on domestic study of fish ecology.

Growth and Carrying Capacity of Pacific Oyster, Crassostrea gigas, in Kamak Bay, Korea (가막만 양식 참굴의 성장과 환경용량 추정에 대한 연구)

  • 박영철;최광식
    • Korean Journal of Environmental Biology
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    • v.20 no.4
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    • pp.378-385
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    • 2002
  • Growth of Pacific oystey, Crassostrea gigas, in Kamak Bay, Korea was modeled using Von Bertalanffy growth function, seasonal Von Bertalanffy growth function and generalized growth equation of Schnute and Richards' growth model, based on shell length and wet weight frequency data of 9208 oysters. Carrying capacity in the oyster culture ground was also estimated using Schaefer's and Fox's surplus production model. The present results suggest that the generalized growth equation of Schnute and Richards' model is fitter to describe the length growth pattern of C. gigas than Von Bertalanffy growth functions. This results also suggest that the current number of culture facility per unit area in 2000 is similar to the number of facility that produces the maximum production of oyster per unit area.

Growth of Ammodytes personatus in Korean waters 1, Daily Growth Increment, Early Growth and Spawning Time in Juvenile Stage (까나리, Ammodytes personatus의 성장 1. 치어의 일령, 초기성장 및 산란시기)

  • KIM Yeong Hye;KANG Yong Joo;RYU Dong Ki
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.32 no.5
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    • pp.550-555
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    • 1999
  • The growth and spawning time of juvenile Ammodytes personatus were analyzed based on the daily growth increment in otolith reading of the sample caught in the coastal waters of Shinsudo, Sacheon from March 20 to May 1, 1988. Daily growth increment in otolith was formed once a day. The estimated spawning time ranged from November, 1987 to March, 1988. The von Bertalanffy growth model and the Gompertz growth model were expressed as, $TL=87.80(1-e^{-0.0074(t+10.79)})$ and $TL=72.59 e^{-1.8417\;e-0.0152t}$ respectively, where TL is total length in mm, t is age in day.

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Population Dynamics of Korean Chub(Zacco koreanus, Cyprinidae) in the Upstream and Downstream of Lake Hoengseong (횡성호 상.하류에 분포하는 참갈겨니(Zacco koreanus, Cyprinidae)의 개체군 동태)

  • Choi, Jae-Seok;Park, Seung-Chul;Jang, Young-Su;Lee, Kwang-Yeol;Choi, Jun-Kil
    • Korean Journal of Environment and Ecology
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    • v.20 no.4
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    • pp.391-399
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    • 2006
  • The population dynamics of Zacco koreanus in the upstream and downstream of Hoengseong Lake, Korea were investigated from April to October 2005. As the result of a comparison of variations regarding the time of I koreanus populations, it was confirmed that downstream was a place to remain compared to upstream Also the b value, assessed by Length-weight relationship in upstream and downstream, were $3.21{\sim}3.35,\;and\;2.94{\sim}3.37$, respectively indicating the fish in downstream had better than upstream. Additionaly condition factor(K) of each population in upstream and downstream were $0.0292{\sim}0.0693\;and\;-0.0165{\sim}0.0499$, respectively, K value in upstream lower than downstream. On the other hand, the maximum-growth value$(L_{\infty})$ calculated by von Bertalanffy's growth model in upstream and downstream were 279.7mm and 303.9mm, respectively, indicating that the potential-growth ability of population in downstream was higher than population in upstream. Therefore, Z. koreanus population in upstream became worse based on matters of age structure, Length-weight relationship, and von Bertalanffy's growth model. These results are considered to show the change of the physical environment by the constructing of Hoengseong Dam.

A Study on the Stock Assessment and Management Implications of the Hairtail, Trichiurus lepturus Linne in Korean Waters 1. Estimation of Population Ecological Characteristics of the Hairtail, Trichiurus lepturus Linne in Korean Waters (한국 연근해 갈치의 자원평가 및 관리방안 연구 1. 한국 연근해 갈치의 자원생태학적 특성치 추정)

  • ZHANG Chang-Ik
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.29 no.5
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    • pp.567-577
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    • 1996
  • This study is to estimate population ecological parameters, including growth parameters, survival rates, instantaneous coefficients of natural and fishing mortalities, and age at first capture, as well as growth rates at age of the hairtail, Trichiurus lepturus Linne in Korean waters. For describing the growth of the hairtail, three growth models were fitted, and the von Bertalanffy growth model was adopted for the purpose of the further stock assessment work. The von Bertalanffy growth parameters estimated from a nonlinear regression using EXCEL Solver were $L_\infty=46.01cm$, K=0.3868, and $t_0=-0.3220$. Annual survival rate (S) of the hairtail was estimated to be 0.277 (variance=0.00035) and the instantaneous coefficient of natural mortality (M) was estimated to be 0.441/year. Instantaneous coefficient of fishing mortality (F) for the recent years was calculated as 0.843/year, implying an impact from fishing about two times greater than that of natural mortality. The age at first capture $(t_c)$ was estimated to be 0.787 years, which is much younger age than $50\%$ mature age. Finally, the growth rates at age were estimated.

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Estimation of Energy Budget from Food Consumption and Growth of Hexagrammos agrammus (노래미, Hexagrammos agrammus의 섭식양과 성장양으로부터 에너지 대사의 추정)

  • KIM Chong-Kwan;ZHANG Chang-Ik
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.31 no.1
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    • pp.121-126
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    • 1998
  • This study is to examine the energy budget of Hexagrammos agrammus in the natural habitat, based on the von Bertalanffy's growth model using food consumption and growth data of the fish. The fish were collected at the coasts of Tongbaek Island in Pusan and Shinsu Island in Samchonpo, Korea. The standard energy budget model was adopted for this study and the model has the components of toed consumption (C), production (G), assimilation (A), absorption ($A_b$), catabolism (R), excreta (U) and feces (F). These components were expressed as mass unit, not as calorie unit as usual. Both the mass and the proportion of each component varied with age of the fish, The mass of annual excreta declined as the fish became older, while those of the other components increased with the age. The relationship between mean weight (W) and annual absorption ($A_b$) was a non-linear one with the equation of $A_b=4.592W^{0.666}$, while that between mean weight (W) and annual catabolism (R) was linear as R=0.007+0.567W. On the other hand, the annual food consumption (C) showed linear relations both with annual assimilation (A) and annual catabolism (R) as A= -7.026+0.061C and R=-20.749+0.048C, respectively.

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Estimation of Growth Curves and Suitable Slaughter Weight of the Liangshan Pig

  • Luo, Jia;Lei, Huaigang;Shen, Linyuan;Yang, Runlin;Pu, Qiang;Zhu, Kangping;Li, Mingzhou;Tang, Guoqing;Li, Xuewei;Zhang, Shunhua;Zhu, Li
    • Asian-Australasian Journal of Animal Sciences
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    • v.28 no.9
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    • pp.1252-1258
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    • 2015
  • The Liangshan pig is a traditional Chinese small-sized breed; it has a relatively long feeding period and low meat production ability but superior meat quality. This study utilized three non-linear growth models (Von Bertalanffy, Gompertz, and logistic) to fit the growth curve of Liangshan pigs from an unselected, random-bred pig population and estimate the pigs most suitable slaughter weight. The growth development data at 20 time points of 275 Liangshan pigs (from birth to 250 d) were collected. To analyze the relative gene expression related to development, seven slaughter weight phases (50, 58, 66, 74, 82, 90, and 98 kg) (20 pigs per phase) were examined. We found that the Liangshan pig growth curve fit the typical S-curve well and that their growth turning point was 193.4 days at a weight of 62.5 kg, according to the best fit Von Bertalanffy model based on the goodness of fit criteria. Furthermore, we estimated that the most suitable slaughter weight was 62.5 to 74.9 kg based on the growth curve and the relative expression levels of growth-related genes.

Growth and Production of Pholis nebulosa (Temminck & Schlegel, 1845) in a Seagrass (Zostera marina) Bed of Southern Korea

  • Park, Joo Myun;Kim, Ha Won;Kwak, Seok Nam;Riedel, Ralf
    • Ocean and Polar Research
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    • v.43 no.2
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    • pp.89-98
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    • 2021
  • The seagrass habitats are a highly productive marine ecosystem which provides nursery ground and shelter for many fish and invertebrate species. Pholis nebulosa (Temminck & Schlegel, 1845) is one of the most abundant seagrass fishes in the coastal waters of Korea. The estimation of fish production is key for devising conservation measures and ensuring fish resources sustainability. A total 894 P. nebulosa ranging from 3.83 to 26.5 cm total length (TL) were collected monthly in 2006 with a small beam trawl in a seagrass bed of southern Korea. Growth parameters of P. nebulosa were estimated using the von Bertalanffy growth model, and production was estimated using a general equation which relates daily fish production to ash-free dry weight (AFDW), biomass, and water temperature. The von Bertalanffy's growth equation was estimated as: Lt = 28.3823(1-e-0.7835(t+0.9864)). The densities, biomass, daily, annual production, and P/B ratio were 0.069±0.061/m-2, 1.022±0.621 g/m2, 0.005±0.004 g AFDW/m2/day, 1.676 g AFDW/m2/yr, and 1.641, respectively. Monthly variation in production of P. nebulosa peaked during March and April 2006 (0.0139 and 0.0111 g AFDW/m2/day), whereas the lowest value of 0.0005 g AFDW/m2/day was in December. Monthly change in production of P. nebulosa was positively correlated with biomass and condition factor. Our results will contribute to the conservation of seagrass ecosystems, which are still undisturbed in the study area.

Population Ecological Characteristics of the Soft-shelled Clam, Mya japonica in the Intertidal Zone of South Sea in Korea (한국 남해안 조간대에 서식하는 우럭, Mya japonica의 자원생태학적 특성)

  • 이선길;장창익
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.36 no.3
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    • pp.234-243
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    • 2000
  • This paper is to study population ecological characteristics, including growth parameters, survival rate, instantaneous coefficients of natural and fishing mortalities, and age at first capture of the soft-shelled clam, Mya japonioa in the intertidal zone of South Sea in Korea. For describing growth of the clam a von Bertalanffy growth model was adopted, The von Bertalanffy growth curve had an additive error structure and the growth parameters estimated from a non-linear regression were SH/sub ∞/=79.83mm, K=0.26, and t/sub 0/= -0.01. Survival rate (S) of the soft-shelled clam was 0.26 (SD=0.02). The instantaneous coefficients of natural mortality (M) was estimated to be 0.78/year and fishing mortality (F) 0.57/year for the soft-shelled clam. The age at first capture (t/sub c/) was estimated as 2.69 year. The mean densities of the soft-shelled clam by bottom type were 3.40 inds./m²(SE=0.18) in the sand, 63.4 inds./m²(SE= 0.53) in the muddy sand, and 0 inds./m2 (SE=0) in the gravelly sand. The mean densities of the soft-shelled clam by 3 different areas were 4.88 inds./m²(SE=0.09), 2.61 inds./m²(SE=0.13), 7.20 inds./m²(SE=0.18), respectively and the biomass of the clam were estimated as 131mt, 121mt, 665mt, respectively. An yield-per-recruit analysis showed that the current yield-per-recruit of about 8.30g with F=0.57/year and the age at first capture (t/sub c/) 2.69 year, was lower than the maximum possible yield-per-recruit of 9.60g. Fixing to at the current level and increased fishing intensity (F) could produce an increase in the predicted yield-per-recruit from 8.30g to about 9.40. However, estimated yield-per-recruit increased to 1.30g by decreasing to from the current age (2.69 year) to age two with F fixed at the current level. Yield-per-recruit was estimated under harvest strategies based on F/sub max/ and F/sub 0.1/.

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