RESUMEN
Growth models of marine animals, for fisheries and/or aquaculture purposes, are based on the popular von Bertalanffy model. This tool is mostly used because its parameters are used to evaluate other fisheries models, such as yield per recruit; nevertheless, there are other alternatives (such as Gompertz, Logistic, Schnute) not yet used by fishery scientists, that may result useful depending on the studied species. The penshell Atrina maura, has been studied for fisheries or aquaculture supplies, but its individual growth has not yet been studied before. The aim of this study was to model the absolute growth of the penshell A. maura using length-age data. For this, five models were assessed to obtain growth parameters: von Bertalanffy, Gompertz, Logistic, Schnute case 1 and Schnute and Richards. The criterion used to select the best models was the Akaike information criterion, as well as the residual squared sum and R² adjusted. To get the average asymptotic length, the multi model inference approach was used. According to Akaike information criteria, the Gompertz model better described the absolute growth of A. maura. Following the multi model inference approach the average asymptotic shell length was 218.9mm (IC 212.3-225.5) of shell length. I concluded that the use of the multi model approach and the Akaike information criteria represented the most robust method for growth parameter estimation of A. maura and the von Bertalanffy growth model should not be selected a priori as the true model to obtain the absolute growth in bivalve mollusks like in the studied species in this paper.
El molusco bivalvo Atrina maura (Sowervy 1835) habita aguas marinas someras y estuarios en la costa del Pacífico desde Baja California, México hasta Perú. Es un organismo cuyo crecimiento individual ha sido insuficientemente modelado. El objetivo del estudio fue modelar su crecimiento individual absoluto mediante el uso de datos de longitud a la edad obtenidos de una región del Golfo de California. Los parámetros fueron obtenidos con el uso de cinco modelos de crecimiento; von Bertalanffy, Gompertz, Logístico, Caso 1 de Schnute y Schnute & Richards. Se seleccionó el mejor modelo usando el criterio de información de Akaike, AIC, pero se calcularon también la suma de residuos al cuadrado y la R² ajustada. Para obtener la longitud asintótica se siguió el enfoque de inferencia multi modelo IMM. Según el AIC el modelo que mejor describe el crecimiento absoluto de A. maura es el de Gompertz y colocó en cuarto lugar jerárquico el de von Bertalanffy. La longitud asintótica promedio encontrada, siguiendo la IMM, fue de 218.9mm (IC 212.3-225.5) de longitud de concha. Se concluye que tanto la IMM como el AIC representan las herramientas más sólidas para evaluar parámetros de crecimiento individual de A. maura y que el modelo de crecimiento de von Bertalanffy no debe ser seleccionado a priori como la opción para describir el crecimiento individual en moluscos bivalvos como la especie estudiada.
Asunto(s)
Animales , Bivalvos/crecimiento & desarrollo , Modelos Biológicos , Bivalvos/clasificaciónRESUMEN
The purpose of the current study was to supply the first information on age and growth for Thunnus obesus caught in the equatorial south-western Atlantic using dorsal spines, an approach that has been successfully employed for ageing tuna species. The study was conducted using a multi-model inference based on information theory for back-calculated and observed length-at-age data. Uncertainty associated with the parameter estimation was verified and results were compared to other accounts on the species, considering both the statistical and methodological contexts. Samples were collected in Natal city (Rio Grande do Norte State, Brazil) from February 1999 to January 2000, of tuna vessels and from surveys, aimed at providing information on the Brazilian Exclusive Economic Zone (EEZ) in the area around São Pedro and São Paulo Archipelago. Validation using marginal increment indicated that one ring is deposited per year. Mean length-at-age ranged of 54.3 to 177.5 cm (fork length) for ages 1 to 9 years. Von Bertalanffy, Richards, and Gompertz models were considered suitable for the bigeye tuna. Hence, the model-averaged asymptotic length ¯L∞ was estimated. The averaged model generated in the present study by back-calculation was considered appropriate for describing the growth of T. obesus.
A proposta do presente estudo foi fornecer a primeira informação sobre idade e crescimento de Thunnus obesus, capturado no Atlântico sudoeste equatorial usando espinhos dorsais, uma abordagem que tem sido utilizada com sucesso na determinação de idade de espécies de atuns. O estudo foi conduzido usando uma inferência de multi-modelos baseada na teoria de informação avaliada para dados de comprimento por idade retrocalculados e observados. Incertezas associadas aos parâmetros foram verificadas e os resultados foram comparados aos de outros estudos realizados para esta espécie, considerando os contextos estatísticos e metodológicos. As amostras foram coletadas na cidade de Natal (estado do Rio Grande do Norte, Brasil) de fevereiro de 1999 a janeiro de 2000, provenientes de embarcações comerciais e também prospecções, cujo objetivo foi prover informações sobre a Zona Econômica Exclusiva (ZEE) na área do entorno do Arquipélago de São Pedro e São Paulo. A validação usando incremento marginal indicou a deposição de um anel anual. Os comprimentos médios por idade variaram entre 54.3 a 175.7 cm (comprimento furcal) para idades de 1 a 9 anos. Os modelos Von Bertalanffy, Richards e Gompertz foram considerados adequados para a albacora bandolim e, desta forma, o comprimento assintótico para um modelo médio (¯L∞) foi estimado. O modelo médio gerado no presente estudo a partir dos comprimentos retrocalculados foi considerado apropriado para descrever o crescimento de T. obesus capturada no Atlântico.