An integrated model for growth incorporating tag–recapture, length–frequency, and direct aging data

2004 ◽  
Vol 61 (2) ◽  
pp. 292-306 ◽  
Author(s):  
J Paige Eveson ◽  
Geoff M Laslett ◽  
Tom Polacheck
Keyword(s):  
Growth Curve ◽  
Bluefin Tuna ◽  
Fish Growth ◽  
Data Sources ◽  
Smooth Transition ◽  
Likelihood Method ◽  
Von Bertalanffy ◽  
Length Frequency ◽  
Direct Aging ◽  
Southern Bluefin Tuna

A maximum likelihood method for modelling fish growth is presented that integrates data from three key sources of growth information: tag–recapture studies, length–frequency samples from commercial catches, and direct aging data from hard-parts analyses. Previous studies have almost exclusively modelled growth using only one of these sources of information. Different data sources are often most informative about different portions of the life cycle. The development of an integrated approach allows for the different data sources to complement each other and provide more comprehensive and robust estimates of growth parameters. The integrated method is applied to data sets from southern bluefin tuna (Thunnus maccoyii) using the von Bertalanffy growth curve as well as a more sophisticated growth curve that makes a smooth transition between two von Bertalanffy curves with different growth rate parameters. The latter is found to provide a significantly better fit and supports previous findings that southern bluefin tuna experience a transition in growth during the juvenile stage of life. Many species exhibit a seasonal growth pattern, including southern bluefin tuna for which growth is fastest during the austral summer. A method for incorporating an annual seasonal component into the analysis is described and applied.

Estimation of von Bertalanffy Growth Curve Parameters Using both Length Increment and Age–Length Data

1983 ◽  
Vol 40 (9) ◽  
pp. 1405-1411 ◽  
Author(s):  
G. P. Kirkwood
Keyword(s):  
Growth Curve ◽  
Full Range ◽  
Likelihood Estimation ◽  
Data Sets ◽  
Ratio Test ◽  
Von Bertalanffy ◽  
Predictive Regression ◽  
Length Increment ◽  
Southern Bluefin Tuna ◽  
Length Data

Many fish species cannot be aged directly over their full range of lengths. Therefore, to estimate a growth curve, one often uses length increment data from a mark–recapture experiment, supplemented by whatever age–length data are available. I describe a new method for maximum likelihood estimation of the three von Bertalanffy growth curve parameters, using the length increment and age–length data jointly. Also, I describe a likelihood ratio test for determining whether the same growth curve fits both data sets adequately. The von Bertalanffy growth curve can be taken as a predictive regression with either length or age as the dependent variable. Here, age is taken as the dependent variable, as would be appropriate for estimation of age from length, but only minor modifications are necessary for the more common alternative predictive regression of length on age. As an illustration, the techniques are applied to data for southern bluefin tuna, Thunnus maccoyii.

MULTIFAN a Likelihood-Based Method for Estimating Growth Parameters and Age Composition from Multiple Length Frequency Data Sets Illustrated using Data for Southern Bluefin Tuna (Thunnus maccoyii)

1990 ◽  
Vol 47 (2) ◽  
pp. 301-317 ◽  
Author(s):  
D. A. Fournier ◽  
John R. Sibert ◽  
Jacek Majkowski ◽  
John Hampton
Keyword(s):  
Growth Parameters ◽  
Bluefin Tuna ◽  
Parameter Estimates ◽  
Data Sets ◽  
Frequency Data ◽  
Length Frequency ◽  
Objective Criterion ◽  
Southern Bluefin Tuna ◽  
Robust Likelihood ◽  
Length Frequency Data

We present a method for simultaneously analyzing multiple length frequency data sets. The method utilizes a robust likelihood-based estimation procedure that provides an objective criterion for hypothesis testing. The method is applied to length frequency data from southern bluefin tuna (Thunnus maccoyii) for which independent estimates of growth parameters based on tag return data are available. The estimates of the growth parameters from the new method were found to be in substantial agreement with the values previously obtained for these parameters. The strength of the likelihood approach is demonstrated by discriminating between alternative structural hypotheses for describing the data. The ability to simultaneously analyze multiple samples permits the method to exploit the extra information not available when analyzing samples one by one. The computer program maintains a database of fits to the data which enable the user to organize the results of the analysis. Graphical displays permit the user to view any of the fits, and an interactive graphics routine aids the user to find good initial parameter estimates.

Estimation of age composition from length data by posterior probabilities based on a previous growth curve: application to Sebastes schlegelii

2005 ◽  
Vol 62 (11) ◽  
pp. 2475-2483 ◽  
Author(s):  
Katsuhisa Baba ◽  
Masayoshi Sasaki ◽  
Noriyuki Mitsutani
Keyword(s):  
Growth Curve ◽  
Estimation Error ◽  
Fish Population ◽  
Fish Growth ◽  
Likelihood Method ◽  
Length Variation ◽  
Posterior Probabilities ◽  
Age Composition ◽  
Sebastes Schlegelii ◽  
Length Data

We developed a system to estimate the age composition of a fish population (Sebastes schlegelii) from length data by considering fish growth, length variation, proportion of age classes, and sexual dimorphism. Reasonable interpolations allowed age composition to be estimated when length data and age–length relationships were measured in different seasons. A growth curve was fitted to the mean length growth using a maximum likelihood method with an assumption of a normal distribution in length variation. Posterior probabilities were constructed with normal distributions according to Bayes’ theorem, and age composition and its confidence limits were reasonably estimated from the posterior probabilities and by bootstrap resampling. The influence of annual fluctuations of population properties was assessed by cross-validation, which was improved by updating the prior probabilities. While the new system was more robust than the age–length key for small numbers of aging data, it was impossible to improve the system by focusing on the length data alone because the correlation between the estimation error and the likelihood calculated from the length data alone was weak.

Changes in growth of juvenile southern bluefin tuna (Thunnus maccoyii): an analysis of length-frequency data from the Australian fishery

2000 ◽  
Vol 51 (2) ◽  
pp. 143 ◽  
Author(s):  
George M. Leigh ◽  
William S. Hearn
Keyword(s):  
Modal Analysis ◽  
Growth Rates ◽  
Bluefin Tuna ◽  
Frequency Data ◽  
Length Frequency ◽  
Southern Bluefin Tuna ◽  
History Of ◽  
The Mean ◽  
Western Australian ◽  
Length Frequency Data

Modal analysis is applied to historical length–frequency records of the Australian southern bluefin tunafishery, in order to quantify the variation in mean length from year to year. In the South Australian fishery in the first half of March, the mean length has ranged between 54 cm and 64 cm for 1-year-old fish, 73 cm and 85 cm for 2-year-old fish, and 85 cm and 100 cm for 3-year-old fish. The mean lengths of 2-, 3- and 4-year-old fish, and the increment from age 1 to age 3, have increased substantially over the history of the fishery. This increase in growth is probably a response to a decline in the population due to heavy fishing. In many years in the Western Australian fishery, two or more groups of 1-year-old fish were found: the mean lengths of these groups typically differed by 10 cm. Growth rates also varied markedly according to the season of the year.

Age and Growth of Dogfish Squalus acanthias in British Columbia Waters

1975 ◽  
Vol 32 (1) ◽  
pp. 43-59 ◽  
Author(s):  
K. S. Ketchen
Keyword(s):  
British Columbia ◽  
Growth Curve ◽  
Squalus Acanthias ◽  
Age And Growth ◽  
Von Bertalanffy ◽  
Large Fish ◽  
Length Frequency ◽  
Strait Of Georgia ◽  
Frequency Distributions ◽  
Net Uptake

Ages of dogfish have been determined from markings on the second dorsal spine by a technique that enables use of badly worn spines from relatively large fish to correct for the tendency to underestimate age. While the technique may have led to slight overestimation of age, particularly of dogfish from Hecate Strait, there is some corroborating evidence for the Strait of Georgia drawn from length-frequency distributions, sizes of fish in relation to reproductive stages, and assumptions about the average annual net uptake of mercury. It is tentatively concluded that the growth curve for females, expressed in terms of the von Bertalanffy equation, has parameters of K = 0.048, [Formula: see text], and t0 = −4.88 yr. Parameters suggested for males are: K = 0.070, [Formula: see text], and t0 = −4.70 yr. The implication emerging from these results is that females and males on the average take 23 yr and 14 yr, respectively, to reach maturity.

scholarly journals Short Communication: Age and growth of elongated mudskipper, Pseudapocryptes elongatus (Cuvier, 1816) from Sundarbans, India

2018 ◽  
Vol 20 (1) ◽  
pp. 85-90 ◽  
Author(s):  
GOPALAN MAHADEVAN ◽  
PALANIVEL BHARATHIRAJAN ◽  
VELAYUTHAM RAVI ◽  
MOJTABA POULADI ◽  
MARYAM MIRZAEI VAND KHANGHAH
Keyword(s):  
Short Communication ◽  
Growth Parameters ◽  
Mathematical Expression ◽  
Fish Growth ◽  
Age And Growth ◽  
Von Bertalanffy ◽  
Frequency Data ◽  
Length Frequency ◽  
Males And Females ◽  
Length Frequency Data

Mahadevan G, Bharathirajan P, Ravi V, Pouladi M, Mirzaei Vand Khanghah M. 2019. Short Communication: Age and growth of elongated mudskipper, Pseudapocryptes elongatus (Cuvier, 1816) from Sundarbans, India. Biodiversitas 20: 85-90. The estimation of age and mathematical expression of fish growth is complex and debated subject in fishery sciences. Growth parameters of elongated mudskipper, Pseudapocryptes elongatus were estimated based on the length frequency data using FiSAT II software (several tools such as Powell-Wetherall method, ELEFAN and von Bertalanffy growth estimates). Samples were collected from Sundarbans mangroves using gill and cast nets and by hand picking. The length-frequency (LFQ) of P.elongatus was recorded from January 2014 to December 2015 and the above tools estimated the growth parameters (L∞, K and t0) from the progression of LFQ modes through time. L∞ and K values of males were 220.50 mm and 1.3 yr-1, respectively and similarly, L∞ and K values of females were 221.05 mm and 1.21 yr-1, respectively. The t0 values estimated for males and females were-0.1915 years and-0.1661 years, respectively. The estimated growth performance index (Φ) values for males and females of P. elongatus were 4.394 and 4.503, respectively. The lifespan of both the sexes was found to be 4+ years.

scholarly journals Total Allowable Catch of Indonesian Southern Bluefin Tuna Thunnus maccoyii and Its Potential Resources in The Indian Ocean

2020 ◽  
Vol 147 ◽  
pp. 02013
Author(s):  
Fathur Rochman ◽  
Maya Agustina ◽  
Gussasta Levi Arnenda
Keyword(s):  
Population Analysis ◽  
Bluefin Tuna ◽  
Primary Data ◽  
Total Allowable Catch ◽  
Virtual Population ◽  
Exploitation Rate ◽  
Direct Aging ◽  
Southern Bluefin Tuna ◽  
Potential Resource ◽  
The Indian Ocean

Southern Bluefin Tuna (SBT) is a high value species fished by many countries including Indonesia, and its fishing activities has been regulated by CCSBT. This study aimed to determine the potential resource of Indonesian SBT, utilization, and review of the Total Allowable Catch (TAC) of Indonesian SBT. This research was conducted from January 2017 to April 2018. The primary data used in this study were the otolith samples and the enumeration data of SBT landed in Benoa port from 2012-2017. Virtual Population Analysis (VPA) used in this research was based on a direct aging method using otolith. This research showed that the catch at age structure was distributed from 5-22 years with mean and mode of age were 9.63 and 9 years. The average of the exploitation rate measured was 0.191 per year meaning that the level of exploitation was categorized as underfished. The optimal assumption of the exploitation rate estimated in the range of 1,577 to 2,630 tons per year which is higher than the TAC provided by CCSBT. It was concluded that from 2015 onwards, the catch efforts were more effective and efficient with the increasing level of the exploitation and the decreasing number of efforts.

Age and growth of the daggernose shark, Isogomphodon oxyrhynchus, from northern Brazil

2000 ◽  
Vol 51 (4) ◽  
pp. 339 ◽  
Author(s):  
Rosangela Lessa ◽  
Francisco M. Santana ◽  
Vandick Batista ◽  
Zafira Almeida
Keyword(s):  
Frequency Analysis ◽  
Growth Curve ◽  
Growth Parameters ◽  
Age And Growth ◽  
Von Bertalanffy ◽  
Length Frequency ◽  
Alizarin Red ◽  
Northern Brazil ◽  
Biological Differences ◽  
Length Frequency Analysis

Age and growth of the daggernose shark, Isogomphodon oxyrhynchus, from northern Brazil were determined from 105 vertebral sections stained with alizarin red-S representing 46 males, 52 females and 7 specimens of unknown sex (58.4 to 141 cm-TL) and verified with length–frequency analysis of 1135 specimens (632 females and 503 males, 58–160 cm ). Marginal increments did not show significant differences throughout the year, and it was assumed that one band is formed annually. Different tests provided varying results for growth curve comparisons between sexes; the curves were similar, despite biological differences. von Bertalanffy growth parameters estimated from back-calculated mean lengths, observed mean lengths-at-age and length–frequency analysis were of the same magnitude. Parameters generated from observed length-at-age were chosen for describing growth for the species: L• 171.4 cm, k 0.12 year –1 and t0 –2.612 years. The largest female aged from vertebrae was 12 years old, whereas the largest male was aged at 7 years. Neonates, ~42.3 cm, showed one band in the vertebrae, formed at birth, or soon thereafter. Males are mature at 103 cm or 5–6 years and females at 115 cm or 6–7 years. Resumo. A idade e o crescimento do cação quati, Isogomphodon oxyrhynchus, do norte do Brasil foi determinada usando 105 vértebras seccionadas e coradas com alizarina vermelha-S de 46 machos, 52 fêmeas e 7 exemplares de sexo indeterminado (58,4–141 cm-CT). Análise de distribuição de frequência de comprimentos de 1135 indivíduos (632 femeas e 503 machos, 58–160 cm) foi utilizada como método de verificação. Os incrementos marginais não mostraram diferenças significativas ao longo do ano, assumindo-se que uma banda é formada anualmente. Com diferentes testes, usados para comparar curvas de crescimento entre os sexos, obteve-se resultados conflitantes; o crescimento foi considerado idêntico entre os sexos, apesar das diferenças biológicas entre machos e fêmeas. Os parâmetros de von Bertalanffy estimados do retrocálculo, comprimentos médios observados e da análise de comprimentos foram semelhantes, tendo sido escolhidos para descrever o crescimento da espécie: L• 8171,4 cm; k 0,12 year –1 et 0 –2,612 years. Amaior fêmea cuja idade foi estimada pelas vértebras tinha 12 anos enquanto o maior macho tinha 7 anos. Recém-nascidos de 42,3 cm apresentavam uma banda nas vertebras, formada ao nascer, ou logo depois do nascimento. Machos estão maduros em 103 cm ou 5–6 anos e fêmeas em 115 cm ou 6–7 anos.

Southern bluefin tuna populations in south-west Australia

1965 ◽  
Vol 16 (1) ◽  
pp. 25 ◽  
Author(s):  
JS Hynd
Keyword(s):  
Growth Rate ◽  
Age Groups ◽  
Bluefin Tuna ◽  
Length Frequency ◽  
South West ◽  
Size Groups ◽  
Southern Bluefin Tuna ◽  
The Times

Length-frequency histograms of southern bluefin tuna caught for tagging and other purposes by F.V. Estelle Star in the course of survey operations showed heterogeneity in that the catches contained size groups, the differences between which could not be regarded as simply those to be expected between the age groups of a single stock. The times at which these groups appeared in the catches showed that the groups were characterized by distinct distributional behaviour, and this was confirmed by the results of the tagging operations. However, the groups are indistinguishable in their growth rate, so far as this has been shown by the present work, and no evidence is yet available as to the origins or status of these groups.

Growth rates of barramundi, Lates calcarifer (Bloch), in Papua new Guinea

1982 ◽  
Vol 33 (4) ◽  
pp. 663 ◽  
Author(s):  
LF Reynolds ◽  
R Moore
Keyword(s):  
Papua New Guinea ◽  
Growth Rates ◽  
New Guinea ◽  
Fish Growth ◽  
Von Bertalanffy ◽  
Length Frequency ◽  
Lates Calcarifer ◽  
Weight Relationship

Growth rates of L. calcarifer in western Papua were determined using modal progression in length- frequency samples and analysis of increases in lengths of tagged fish. Growth was rapid, the Von Bertalanffy parameters being K = 0.128, L∞ = 138 cm and t0 = -1.12 years. The length-weight relationship was W = 0.0106l3.02, where W is weight measured in grams and I is length measured in centimetres.

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