Two Models for Seasonal Growth in Fishes

Pitcher, Tony J.; Macdonald, P. D. M.

doi:10.2307/2402304

Cited by 104 publications

(66 citation statements)

References 6 publications

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“…The merit of the maximum likelihood method is that it allows the use of any growth curve and, as shown here, any functional form for growth variability. For example, this method may be used to choose between various models for seasonal growth: Pitcher & MacDonald (1973) gave two such models (one of which was used here) and a further one was given by Cloern & Nichols (1978). The key point in the present approach is that growth variability is assumed to depend on the expected growth alone.…”

Section: Discussionmentioning

confidence: 99%

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Maximum likelihood estimation of growth and growth variability from tagging data

Francis

1988

New Zealand Journal of Marine and Freshwater Research

134

217

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A maximum likelihood approach is described for the analysis of growth increment data derived from tagging experiments. As well as describing mean growth this approach allows the separate estimation of measurement error and growth variability, and uses mixture theory to provide an objective way of dealing with outliers. The method is illustrated using data for Pacific bonito (Sarda chiliensis) and the growth variability model is compared to other published models. The difference between growth curves derived from tagging and age-length data is emphasised and new parameters are given for the von Bertalanffy curve that have better statistical properties, and represent better the growth information in tagging data, than do the conventional parameters.

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Section: Discussionmentioning

confidence: 99%

“…This is a slightly different form of a curve proposed by Pitcher & MacDonald (1973). The parameter w describes the time of year at which growth rates are maximum and u (> 0) describes the extent of seasonality.…”

Section: Notationmentioning

confidence: 98%

Maximum likelihood estimation of growth and growth variability from tagging data

Francis

1988

New Zealand Journal of Marine and Freshwater Research

134

217

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“…Incorporation of the seasonal VBGF (Pitcher and MacDonald, 1973;Cloern and Nichols, 1978;Pauly and Gaschuetz, 1979) would yield a more accurate model with a better determination of harvest time. A full year of growth data is however recommended in order to correctly fit an oscillating seasonal VBGF.…”

Section: Economic Evaluationmentioning

confidence: 99%

Evaluation of different shallow water culture methods for the scallop Nodipecten subnodosus using biologic and economic modeling

et al. 2006

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The desire to develop sustainable small-scale aquaculture on the Baja California peninsula has focused attention toward the native scallop Nodipecten (Lyropecten) subnodosus, a species characterized by rapid growth, large size and high domestic market price. The cool upwelling waters around Bahía Magdalena seem to provide suitable conditions for N. subnodosus culture, yet cheaper, less technically demanding methods of culture are desired to add to the practicality of development for local resource users. Culturing in the shallow 'esteros' (reverse-estuaries) rather than in the central section of the bay may provide such an alternative. Between September 2002 and April 2003, three grow-out culture methods (suspended module, bottom and off-bottom culture) were compared at two different densities (40% and 60% coverage) in terms of scallop growth, mortality and associated costs, in order to create a predictive model of monetary returns. Scallops exhibited retarded growth and increased mortality during the warm, oxygen-poor water conditions of late summer (August-September), which coincided with increased reproductive activity (Gonad Index) and lowered energy reserves (Adductor Muscle Index). Growth performance was best during a period of lower temperature in late December 2002 to early January 2003. Of the six treatments, 40% density off-bottom culture provided the best grow-out conditions in terms of average growth and mortality (K year = 0.51, Z year = 0.29). However, a simulation of a 10-year culture operation accounting for the addition of a new batch of seed each year (100,000 ind.·year − 1 ) shows 60% density off-bottom culture (K year = 0.44, Z year = 0.37) to be the most profitable (net present value = US$28,631, internal rate of return = 27.0%). A 6-year period is predicted before the culture is profitable. The model proved valuable in comparing profitability between culture methods and is relevant as a tool for investment decisions in other culture operations.

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“…The growth of many fish species is seasonal, occurring more rapidly in the warm summer than cool winter months (Pitcher and Macdonald 1973). Although descriptions of the growth of most marine species have not employed a model structure that takes such seasonality into account, seasonal models have been shown, in certain cases, to provide a better fit to the lengths at age than those derived using a traditional von Bertalanffy growth curve (e.g.…”

Section: Introductionmentioning

confidence: 99%

Age and size compositions, habitats, growth and reproductive characteristics of a terapontid (Pelates octolineatus) in coastal waters

Veale

Coulson

Hall

et al. 2015

Mar. Freshwater Res.

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This study of Pelates octolineatus is the first to use individually aged fish to describe the life cycle of a terapontid, a speciose and abundant Indo-West Pacific family. On the lower west Australian coast, this species uses dense seagrass as a nursery area and, after ~1 year of life when approaching 100 mm in total length (TL), moves into deeper waters over sparser seagrass where it matures at the end of its second year at ~140-170 mm. The maximum TL and age were 256 mm and 10 years. A modified von Bertalanffy curve, allowing for a linear increase in the growth coefficient with age, improved the fit to the lengths at age of older P. octolineatus. Growth was even better described by extending this model to allow for seasonality through incorporating a sine-based curve. This model described well the seasonality exhibited by modal progressions in monthly length-frequency distributions. Instantaneous growth rates, particularly of the youngest age classes, peaked in the warm, summer months and the amplitude of seasonal change in these rates declined with increasing age. Gonadal recrudescence occurred in early spring as temperature and day length increased and spawning peaked in late-spring to mid-summer when temperatures were approaching their maxima.

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Two Models for Seasonal Growth in Fishes

Cited by 104 publications

References 6 publications

Maximum likelihood estimation of growth and growth variability from tagging data

Maximum likelihood estimation of growth and growth variability from tagging data

Evaluation of different shallow water culture methods for the scallop Nodipecten subnodosus using biologic and economic modeling

Age and size compositions, habitats, growth and reproductive characteristics of a terapontid (Pelates octolineatus) in coastal waters

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