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

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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.

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.

Assessing the Age and Growth of the Butter Clam Saxidomus purpuratus in Jinhae Bay Using Transmitted Light (투과광을 이용한 한국 진해만 개조개(Saxidomus purpuratus)의 연령과 성장)

  • Lee, Mi-Hee;Kim, Yeonghye;Cha, Byung-Yul;Yoon, Byoung-Sun;Ryu, Dong-Ki;Kim, Sung-Tae
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.51 no.5
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    • pp.556-565
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    • 2018
  • The age and growth of butter clams Saxidomus purpuratus were estimated using transmitted light on the shells of 364 samples from January 2017 to December 2017 in Jinhae Bay. Based on monthly variation in the marginal index (MI) of the shell, it is assumed that rings are formed once a year during the period from July to August in this species. The relationship between shell length (SL; mm) and shell height (SH; mm) was expressed by the equation SH=0.8053SL-2.9636 ($R^2=0.94$) and between SL and shell width (SW; mm) by the equation SW=0.5648SL-3.7105 ($R^2=0.90$). The relationship between SL and total weight (TW; g) was expressed by the following equation: $TW=0.00009SL^{3.2141}$ ($R^2=0.96$). von Bertalanffy's growth parameters were estimated using the regression wizard in the SigmaPlot computer program (Systat Software, Inc., v. 10.0). The maximum shell length ($SL_{\infty}$) was 126.16 mm, growth rate was 0.2030/year, theoretical age at shell length 0 ($t_0$) was -0.52 years, and asymptotic total weight ($TW_{\infty}$) was 509.17 g. Growth curves for SL and TW fitted to the von Bertalanffy's equation were expressed as follows: $SL_t=126.16(1-e^{-0.2030(t+0.52)})$, $TW_t=509.17(1-e^{-0.2030(t+0.52)})^{3.2141}$.

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.

Preliminary Survey of Age and Growth of the Short-necked Clam, Paphia undalate(Born), in Kwangyang Bay, Korea (광양만에 분포하는 농조개, Paphia undalata (Born)의 연령과 성장에 관한 기초연구)

  • 김영혜;장대수;박영철
    • The Korean Journal of Malacology
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    • v.17 no.1
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    • pp.7-12
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    • 2001
  • The age and growth of the short-necked clam, Paphia undalata, was investigated from 546 samples randomly collected in December 2000 in Kwangyang Bay, Korea. Ages were determined from ring radius of shell and the maximum age was observed to be 2 years. The relationship between shell length (SL) and shell height (SH) of Paphia undalata was SL = 0.2105 + 1.7569 $\times$ SH ($R^2$= 0.98), and the shell length (SL)-total weight (TW) relationship was TW = 2.5824 $\times$ 10$^{-4}$ $\times$ S $L^{2.6769}$ ($R^2$= 0.92). The von Bertalanffy growth parameters were estimated by the non-linear method, with values as follows: $L_{\infty}$ = 81.46 mm, K : 0.20/year, $t_{0}$ = -1.19 year. The von Bertalnanffy growth equation was $L_{t}$ = 81.46(1- $e^{-0}$.20(t+1.19)/), $W_{t}$ = 33.68(1- $e^{-0}$.20(t+1.19)/)$^{2.6769}$.

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Age and Growth of Three-lined Tonguefish (Cynoglossus abbreviatus) (Soleidae; Teleostei) (용서대 (Cynoglossus abbreviatus)의 연령과 성장)

  • BAECK Gun Wook;HUH Sung-Hoi
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.37 no.1
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    • pp.51-56
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    • 2004
  • Age and growth of three-lined tonguefish (Cynoglossus abbreviatus) were studied using samples from the waters off Yosu, Korea, from June to December, 2001. Sagittal otoliths had relatively clear annuli. Each annulus was formed once a year in April. The peak of the gonadosomatic index occurred also in April. The oldest fish observed in this study was 5 years old for females and 4 years old for males. The relationship between the otolith radius (R) and total length (L) was as follows: L=14.921R-2.5318 for females and L=13.527R-0.5584 for males. The relationship between total length and body weight (W) was as follows: $W=0.0008L^{3.54}$ for females and $W=0.0029L^{3.14}$ for males. The growth in length of the fish was expressed by the von Bertalanffy's growth equation as: $$L_t=44.54(1-e^{-0.16(t+2.69)})\;for\;females\;and\;L_t=41.52(1-e^{-0.15(t+3.34)})\;for\;males$$.

Management of the Hen Clam, Mactra chinensis Philippi, on the Coast of Kunsan. I. Age and Growth (개량조개 (Mactra chinensis Philippi)의 자원관리I. 연령과 성장)

  • 류동기;김용호
    • The Korean Journal of Malacology
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    • v.17 no.1
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    • pp.13-18
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    • 2001
  • The relationship between shell length and ring radius in each ring group was expressed as a regression line. Therefore, there is a correspondence in each ring formation. Based on the monthly variation of the marginal index (Ml') of the shell, it is assumed that the ring of this species was formed once a year during the period of August to October, and the main period of the annual ring formation was August through September. The relationship between shell length (SL) and total weight (TW) was expressed by the equation TW = 2.2476 $\times$ 10$^{-5}$ SL$^{3.536}$ ($r^2$= 0.90). Shell length (SL) and shell height (SH; mm) were highly correlated with the equation SH = 0.7545 SL - 0.0145 ($r^2$= 0.93). The shell length (SL)-shell width (SW) relation was expressed by the equation SW = 0.5336 SL- 2.4253 ($r^2$= 0.87). Growth curves for shell length and total weight fitted to the von Bertalanffy's equation were expressed as follows: SL$_{t}$ =60.02[1 - e$^{-0.6458(t-0.3895)}$ ], Twt = 43.63[1 - e$^{0.6458(t-0.3895)}$ ]$^{3.536}$ .

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Age and Growth of Shotted Halibut Eopsetta grigorjewi in the East China Sea (동중국해에 분포하는 물가자미(Eopsetta grigorjewi)의 연령과 성장)

  • Kim, Yeong-Hye;Kim, Young-Seop;Kang, Hyun-Jung;Kim, Jin-Koo;Chun, Young-Yull
    • Korean Journal of Ichthyology
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    • v.23 no.1
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    • pp.30-36
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    • 2011
  • Age and growth of shotted halibut Eopsetta grigorjewi were estimated using right sagittal otoliths of 389 fish specimens from February 2004 to January 2005 in the East China Sea. Examination of outer margins of the otolith showed that the opaque zone was formed once a year and annual rings were formed from December to March. The age of specimens examined ranged from 3 to 5 years. Shotted halibut begin spawning in February and show a peak in March. Length and weight relationships showed no significant difference between females and males (P>0.05), and can be expressed as TW=$0.5091{\times}10^{-2}TL^{3,222}(r^2=0.92)$. Estimated von Bertalanffy growth curve was $L_t=46.58(1-e^{-0.14(1+1.32)})$.

Age and Growth of the Hard Clam, Meretrix lusoria (Bivalvia: Veneridae) on the West Coast of Korea (한국 서해산 백합, Meretrix lusoria의 연령과 성장)

  • Ryu, Dong-Ki;Chung, Ee-Yung;Kim, Yong-Min
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.11 no.4
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    • pp.152-157
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    • 2006
  • Samples of Meretrix lusoria were collected monthly from the tidal flat of Simpo, Puan-gun, Chollabuk-do, west coast of Korea from April 2004 to March 2005. Age of M. lusoria was determined from the rings on the shell. The relationship between shell length and ring radius in each ring group was expressed as a regression line. Therefore, there is a correspondence in each ring formation. Based on the monthly variations in the marginal index (MI') of the shell, it is assumed that the ring of this species was formed once a year during the period of February to April. The relationship between shell length (SL) and shell height (SH; mm) was highly correlated with shell height as the following equation: SH = 0.8103 SL + 0.5145 $(r^2=0.991)$. The shell length (SL) - shell width (SW) relation was also expressed by the following equation: SW = 0.4897 SL + 0.0315 $(r^2=0.976)$. Shell length (SL; mm) and total weight (TW; g) was expressed by the following equation: $TW=2.9195\times10^{-4}\;SL^{2.9547}\;(R^2=0.991)$. Shell length (SL) and shell height (SH; mm) was highly correlated with shell height as the following equation: $SH=0.8103\;SL+0.5145\;(R^2=0.991)$ The shell length (SL) - shell width (SW) relation was also expressed by the following equation: $SW=0.4897\;SL+0.0315\;(R^2=0.976)$. Growth curves for shell length and total weight fitted to the von Bertalanffy's growth curve were expressed respectively as: $SL_t=104.9[l-e^{-0.2235(t+0.7677)}],\;TW_t=280.8[l-e^{-0.2235(t+0.7677)}]^{2.9547}$.

Age and Growth of the Brackish Water Clam, Corbicula japonica Prime on the West Coast of Korea (한국 서해산 일본재첩, Corbicula japonica Prime의 연령과 성장)

  • Ryu, Dong-Ki;Chung, Ee-Yung;Kim, Yeong-Hye
    • The Korean Journal of Malacology
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    • v.21 no.1
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    • pp.57-64
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    • 2005
  • Samples of Corbicula japonica Prime of Jujin estuary in Gochang were collected from July 2000 to September 2001. Age of C. japonica was determined from the rings on the shell. The relationship between shell length and ring radius in each ring group was expressed as a regression line. Therefore, there is a correspondence in each ring formation. Based on the monthly variation of the marginal index (MI') of the shell, it is assumed that the ring of this species was formed once a year during the period of February and March. The relationship between shell length (SL; mm) and total weight (TW; g) was expressed by the following equation: TW = 1.0942 ${\times}10^{-4}SL^{3.3217}$ ($r^2$ = 0.9905). Shell length (SL) and shell height (SH; mm) was highly correlated with shell height as the following equation: SH = 0.9174 SL - 0.9935 ($r^2$ = 0.9885). The shell length (SL) - shell width (SW) relation was also expressed by the following equation; SW = 0.5925 SL - 1.1706 ($r^2$ = 0.9726). Growth curves for shell length and total weight fitted to the von Bertalanffy's growth curve were expressed as: $$SL_t = 46.4861[1-e^{-0.3383(t+0.0958)}]$$, $$TW_t = 34.54[1-e^{-0.3383(t+0.0958)}]^3.3217$$.

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