• Title/Summary/Keyword: VON BERTALANFFY GROWTH EQUATION

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Age and Growth of Small Yellow Croaker, Larimichthys polyactis in the South Sea of Korea (한국 남해 참조기의 연령과 성장)

  • Kim, Yeong Hye;Lee, Sun Kil;Lee, Jae Bong;Lee, Dong Woo;Kim, Young Seop
    • Korean Journal of Ichthyology
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    • v.18 no.1
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    • pp.45-54
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    • 2006
  • Age and growth of the small yellow croaker, Larimichthys polyactis were estimated using right sagittal otoliths of 506 fish specimens from March to December, 2002 and from January to February, 2005 in the South Sea, part of the East China Sea of Korea. Examination of outer margins of the otolith showed that the opaque zone was formed once a year. Marginal increment of the otolith formed annual rings from May and June at the beginning of spawning season. In the relationship between total length and body weight, a multiplicative error structure was assumed because variability in growth increased as a function of the length, and the estimated equation was $BW=0.0044TL^{3.2502}$ ($R^2=0.97$). The relative growth as body weight at total length has significant difference between females and males (P<0.05). For describing growth of the small yellow croaker, Larimichthys polyactis a von Bertalanffy growth model was adopted. The von Bertalanffy growth curve had an additive error structure and the growth parameters estimated from non-linear regression were $L_{\infty}=33.88cm$, K=0.20/year and $t_0=-2.39year$. Growth at age of males and females shows no significant difference (P>0.05). Most examined fish were 1, 2 and 3 years old, although the oldest fish were 7 old for males and 8 for females.

Age and Growth Characteristic of Pacific Anchovy, Engraulis japonicus, in the Southern Waters of Korea Based on the Year Ring of Otolith and Collection Date (이석 윤문 및 채집시기를 이용해 분석된 남해 멸치(Engraulis japonicus)의 연령과 성장특성)

  • Lee, Hae Won;Hwang, Sun Do;Kim, Heeyong
    • Korean Journal of Ichthyology
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    • v.33 no.1
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    • pp.31-36
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    • 2021
  • In order to understand the age and growth characteristics of Pacific anchovy, Engraulis japonicus, the 506 otoliths of individuals collected in the southern waters of Korea in 2004 were analyzed. Monthly age of anchovies was estimated based on the age determined through the year rings and their collection date. The growth parameters obtained using the monthly folk lengths were a theoretical maximum body length of 132.9 mm, a growth coefficient of 0.1079/month and a theoretical age of 0.0262 month when the fork length is zero. The growth equation of von Bertalanffy presented by the growth parameters was Lt=132.9(1-e-0.1079(t-1.0262)). The estimation of growth parameters based on the monthly age established through year ring and collection date was deemed appropriate for understanding the growth characteristics of anchovies.

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
    • Korean Journal of Agricultural Science
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    • v.44 no.3
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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.

Age Determination and Growth Using the Transverse Section Method of Otoliths Sandfish, Arctoscopus japonicus, in the Eastern Sea of Korea (한국 동해산 도루묵의 이석횡단절단법에 의한 연령사정 및 성장)

  • Lee, Hae-Won;Kang, Yong-Joo
    • Ocean and Polar Research
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    • v.28 no.3
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    • pp.237-243
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    • 2006
  • The ages of sandfish, Arctoscopus japoninis sampled from the eastern sea of Korea, were determined by the transverse section method of otoliths. Ages were assigned to every individual according to the number of opaque zones, and then fitted to the von Bertalanffy growth equation. Estimated equations were $L_t=25.90(1-e^{-0.2976(t+0.4447)})$ for females and $L_t=21.38(1-e^{-0.2917(t+1.2087)})$ for males, where t is age (year) and $L_t$, is body length (mm) at age t. These two equations were significantly different and the body length of females calculated from the equation was larger than that of males except at 1 year old.

Age and Growth of Great Tellin, Megangulus venulosus in the Coastal Waters of Gangneung, Korea (강릉해역 접시조개(Megangulus venulosus)의 연령과 성장)

  • AN, Heui-Chun;HONG, Sung-Eic;BAE, Jae-Hyun;KIM, Jae Won;YOON, Byoung-Sun
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.51 no.4
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    • pp.592-599
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    • 2015
  • To investigate the characteristic of age and growth, samples of Megangulus venulosus were collected monthly by dredge in the coastal waters of Gangneung, Korea from January to December 2014. The age of M. venulosus was estimated by measuring the ring radius on the shell. Because the relationship between shell lengths and ring radii in each ring group was regressed well, each ring was considered as an annual growth ring. Based on the monthly variation of the marginal index (MI) of the shell length, it is assumed that the ring of this species was formed once a year during September and November. From the parameters calculated using the average length when the year ring was formed, the estimated von Bertalanffy growth equation were $SL_t=236.3(1-e^{-0.061(t+0.184)})$ in age.

Age and Growth of the Stone Flounder Rareius Bocolortus in Approaches to Kyongyolto of Yellow Sea Korea (한국 서해안 격열비열도 근해산 동가자미의 연령과 성장)

  • 박종수
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.31 no.2
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    • pp.121-126
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    • 1995
  • Age and growth of stone flounder kareius bicolortus in approaches to Kyongyolbiyolto of Yellow sea were studied by otolith reading of 248 fishes from September 1992 to August 1993. Examination of the ourter margins of the otoliths showed that th hyaline zone as annulus was formed once a year and that its formation was completed at the end of the spawning season(Jan. to Feb.). Growth of the fish was expressed by the von Bertalanffy's equation as Lt=313.7[1-exp{-0.463(t+0.0704)}] for males and Lt=478.6[1-exp{-0.286(t-0.1619)}] for females, where Lt is body length in mm and It is age in years. It was found that growth of males and females differs, with the females showing a higher growth than the males. Growth in body weight was also examined. The oldest fish were seven years old for males and females.

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Age Determination and Estimation of Growth Parameters Using Otoliths of Small Yellow Croaker, Pseudosciaena polyactis Bleeker in Korean Waters (이석을 이용한 참조기(Pseudosciaena polyactis Bleeker)의 연령사정과 성장식 추정)

  • 이만우;장창익;이장욱
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.36 no.3
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    • pp.222-233
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    • 2000
  • A methodology for determining age by otolith of small yellow croaker, Pseudosoiaena polyactis Bleeker, was developed. A thin section method was chosen to be suitable for age determination because the otolith had a three-dimensional shape and thus it was not possible to read the otolith rings on the surface. The clear rings were identified on the vertical-axis cross-sectioned otoliths. The total length-total weight relationship and the growth parameters were estimated with error structure to endow with accuracy. In the relationship between total length and total weight, a multiplicative error structure was assumed because variability in growth increased as a function of the length, and the estimated equation was $W=0.0049L^{3.2153}$. The variability in growth was constant as a function of the age, revealing an additive error structure. The von Bertalanffy growth parameters were obtained from a nonlinear regression as $L_{\infty}= 37.11cm, K=0.20/yr and t_0=-1.88.$

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AGE AND GROWTH OF THE YELLOW CROAKER, PSEUDOSCIAENA MANCHURICA JORDAN ET THOMPSON, IN THE WESTERN COASTAL WATERS OF KOREA (한국 서해산 참조기의 연령과 성장)

  • Chung Bang-Chul
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.3 no.3
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    • pp.154-160
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    • 1970
  • The present paper deals with the growth of yellow croaker by scale age reading. This study is based on material from 596 specimens caught by the Danish seine in the Yellow Sea during the period from June 1967 to April 1968. Ring marks of the scale were formed from April to July, corresponding to the spawning season of the fish reported by Bae (1960). Growth rate of each radius of the ring was approximately 0.73. The relationship between the total length and radius of scales, and the relationship between the body weight and total length are represented by the following equations respectively: L=61.350R+50.184 $$W=4.298L^{3.227}\times10^{-3}$$ Maximum total length calculated by the diagram of Walford's growth transformation, $$L_{n+1}=0.6866L_n+10.8730$$, was 346.9mm. Growth curve of the fish can be expressed by the following von Bertalanffy's equation : $$L_t=346.9(1-e^{-0.376(t+0.609)})$$

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Age, Growth and Spawning of Enedrias nebulosus (베도라치(Enedrias nebulosus)의 연령, 성장 및 산란)

  • KANG Yong-Joo;KIM Yeong-Hye;KIM Won-Tae
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.29 no.2
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    • pp.191-196
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    • 1996
  • Age growth and spawning period of Enedrias nebulosus were estimated based on otoliths taken from a total of 255 fish samples of E. nebulosus, which were caught in the costal waters of $Kod\v{o}kto$ near Pusan from November 1990 to October 1991. Marginal increment analysis indicates that annuli in E. nebulosus are formed in December. Spawning period was estimated to be November to January, with a peak in December. The von Bertalanffy growth equations were expressed as follows: $L_t=33.64(1-e^{-0.1357(t+2.6853)})$ and $W_t=414.11(1-e^{-0.1357(t+2.6853)})^{3.9745}$, Where $L_t$, is total length in cm, $W_t$, is total weight in g and t is age in year.

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A Study on Growth Pattern in a New Synthetic Korean Native Commercial Chicken by Sex and Strains (신품종 토종닭의 계통과 성별에 따른 성장 특성에 관한 연구)

  • Kigon, Kim;Eun Sik, Choi;See Hwan, Sohn
    • Korean Journal of Poultry Science
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    • v.49 no.4
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    • pp.229-237
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    • 2022
  • This study investigated the growth characteristics of four strains of newly developed synthetic Korean native commercial chickens (KNCs). We investigated a suitable growth curve model in KNCs and estimated the number of days to reach a 2 kg market weight. Body weight was measured at 2-week intervals from birth to 12 weeks of age. The growth curves were estimated using von Berteralanffy, Gompertz, and logistic functions. The results showed that males were significantly heavier than females at all ages, but there were no significant differences in body weight between strains, except at birth and 2 and 6 weeks of age. The coefficients of determination and adjusted determination of growth function had high goodness-of-fit (97.4~99.7). Of the growth curve parameters, the mature weight and growth ratio were higher in males than in females, but the maturity rate was similar in males and females. The inflection point occurred at approximately 7 weeks of age for females and 8 to 9 weeks of age for males. The weights estimated from the growth curve functions almost agreed with the actual weights, except for male weights estimated using the von Bertalanffy function. The coefficients of determination of the regression equations for weight to age were 0.9583 to 0.9746. The 8- and 10-week-old body weights estimated using the regression equation, and the 12-week-old weight estimated using the logistic function were most similar to the actual weight. Using these models, the estimated age of KNCs to reach 2 kg was 62.0~64.6 days for males and 74.9~78.6 days for females.