Stochastic growth models for analyzing crustacean data

The contemporary methodology for growth models of organisms is based on continuous trajectories and thus it hinders us from modelling stepwise growth in crustacean populations. Growth models for fish are normally assumed to follow a continuous function, but a different type of model is needed for crustacean growth. Crustaceans must moult in order for them to grow. The growth of crustaceans is a discontinuous process due to the periodical shedding of the exoskeleton in moulting. The stepwise growth of crustaceans through the moulting process makes the growth estimation more complex. Stochastic approaches can be used to model discontinuous growth or what are commonly known as "jumps" (Figure 1). However, in stochastic growth model we need to ensure that the stochastic growth model results in only positive jumps. In view of this, we will introduce a subordinator that is a special case of a Levy process. A subordinator is a non-decreasing Levy process, that will assist in modelling crustacean growth for better understanding of the individual variability and stochasticity in moulting periods and increments. We develop the estimation methods for parameter estimation and illustrate them with the help of a dataset from laboratory experiments. The motivational dataset is from the ornate rock lobster, Panulirus ornatus, which can be found between Australia and Papua New Guinea. Due to the presence of sex effects on the growth (Munday et al., 2004), we estimate the growth parameters separately for each sex. Since all hard parts are shed too often, the exact age determination of a lobster can be challenging. However, the growth parameters for the aforementioned moult processes from tank data being able to estimate through: (i) inter-moult periods, and (ii) moult increment. We will attempt to derive a joint density, which is made up of two functions: one for moult increments and the other for time intervals between moults. We claim these functions are conditionally independent given pre-moult length and the inter-moult periods. The variables moult increments and inter-moult periods are said to be independent because of the Markov property or conditional probability. Hence, the parameters in each function can be estimated separately. Subsequently, we integrate both of the functions through a Monte Carlo method. We can therefore obtain a population mean for crustacean growth (e. g. red curve in Figure 1). [GRAPHICS]

Estimating equations for parameters in stochastic growth models from tag-recapture data

James (1991, Biometrics 47, 1519-1530) constructed unbiased estimating functions for estimating the two parameters in the von Bertalanffy growth curve from tag-recapture data. This paper provides unbiased estimating functions for a class of growth models that incorporate stochastic components and explanatory variables. a simulation study using seasonal growth models indicates that the proposed method works well while the least-squares methods that are commonly used in the literature may produce substantially biased estimates. The proposed model and method are also applied to real data from tagged rack lobsters to assess the possible seasonal effect on growth.

An improved Fabens method for estimation of growth parameters in the vonBertalanffy model with individual asymptotes

In the analysis of tagging data, it has been found that the least-squares method, based on the increment function known as the Fabens method, produces biased estimates because individual variability in growth is not allowed for. This paper modifies the Fabens method to account for individual variability in the length asymptote. Significance tests using t-statistics or log-likelihood ratio statistics may be applied to show the level of individual variability. Simulation results indicate that the modified method reduces the biases in the estimates to negligible proportions. Tagging data from tiger prawns (Penaeus esculentus and Penaeus semisulcatus) and rock lobster (Panulirus ornatus) are analysed as an illustration.

Lobster Propagation

Project is a continuation of a series of externally funded projects aimed at developing aquaculture technology for the production of tropical rock lobster, Panulirus ornatus.

Aquaculture Asia, Vol.14, No.4, pp.1-52, October - December 2009

Sustainable aquaculture Peter Edwards writes on rural aquaculture Edwards, P. Mussel farming initiatives in North Kerala, India: A case of successful adoption of technology leading to rural livelihood transformation Laxmilatha, P., Thomas, S., Asokan, P.K., Surendranathan, V.G., Sivadasan, M.P., and Ramachandran, N.P. Selective study on the availability in indigenous fish species having ornamental value in some districts of West Bengal Panigrahi, A.K., Dutta, S. and Ghosh, I. Aquaculture livelihoods service centres in Aceh, Indonesia: A novel approach to improving the livelihoods of small scale fish farmers Ravikumar, B. and Yamamoto, K. Research and farming techniques e-Sagu Aqua - an innovative information and communication technology model for transfer of technology for aquaculture Vimala, D. D., Ravisankar, T., Mahalakshmi, P., and Kumaran, M. Freshwater pearl crop: an emerging enterprise in the Indian subcontinent Misra, G., Jena, J. and Kumar, K. Genetics and biodiversity Preliminary risk assessment of Pacific white leg shrimp (P. vannamei) introduced to Thailand for aquaculture Senanan, W., Panutrakul, S., Barnette, P., Chavanich, S., Mantachitr, V., Tangkrock-Olan, N., and Viyakarn, V. Farmer profile Aquatic animal health Asian fish health experts visit Australia Olsen, L. and Ingram, B. (Fisheries Victoria) Black gill disease of cage-cultured ornate rock lobster Panulirus ornatus in central Vietnam caused by Fusarium species Nha, V.V., Hoa, D.T. and Khoa, L.V. Marine Finfish Aquaculture Network Effects of the partial substitution fish oil by soybean oil in the diets on muscle fatty acid composition of juvenile cobia (Rachycentron canadum) Hung, P.D. and Mao, N.D. Growth response of cobia Rachycentron canadum (Pisces: Rachycentridae) under the hypersaline conditions of the Emirate of Abu Dhabi Yousif, O.M.*, Kumar, K.K. and Abdul-Rahman, A.F.A. NACA Newsletter

On the behaviour of marine crustaceans in an electrical field of alternating current

The minimum flow of current essential to produce electro-narcosis and fixation in marine crustaceans, Metapenaeus affinis, Parapenaeopsis stylifera, Panulirus ornatus and Neptunus sanguinofentus in an AC field of specific strength varied with the lengths of animals tested, except in case of the last one where the increase in size of animals showed no significant effect on the effective period for different reactions. M. affinis in interrupted AC required threshold pulses for narcosis and fixation, which varied inversely with the length of the organism. Animals subjected to current of higher effective period required longer time for recovery in interrupted AC of 50 c/s. The period for narcosis and recovery of M. affinis did not vary significantly with repeated stimulations on the same organism.

Distribución horizontal de los Amphipoda (crustacea) en el mar peruano durante el fenómeno "El niño" verano 1983

Los anfípodos hepéridos son microcrustáceos marinos que tienen un rol importante en la ecología trófica de especies pesqueras, se caracterizan por su voraz comportamiento predador sobre otros componentes del zooplancton (NELSON, 1979) y debido a su abundancia constituyen una fuente de alimento para niveles tróficos superiores (ALVAREZ y VIÑAS, 1994). El área de estudio comprende desde 03°29.80´S hasta los 12°54.50´S, abarcando los perfiles de Puerto Pizarro, Cabo Blanco, Talara, Paita, Punta Falsa, Pimentel, Chicama, Salaverry, Chimbote, Huarmey, Supe, Guacho, Chancay, Callao, Pucusana y Cerro Azul, cubriendo de esta manera la parte norte y centro del litoral peruano hasta las 100 millas náuticas de la costa y 50 metros de profundidad. Se determinan 34 especies de anfípodos, con 26 nuevos registros para el país y 2 especies nuevas. La familia Hyperridae es la que registra mayor representatividad a nivel específico destacando por su abundancia las especies Hyperioides sibaginis e Hyperietta vossleri. El presente trabajo, contribuye principalmente a ampliar el conocimiento de especies de anfípodos y asociarlas con las características ambientales, así las especies Vibilia chuni, Partaphronima gracilis, Hemithiphys tenuimanuss, Euscelus robustus y Schizoscelus ornatus, se encuentran relacionados con salinidades que fluctuan entre 34.8 y 35.1‰ y temperaturas de 25.4 hasta 28.2°C, rangos correspondientes a aguas de mezcla de Aguas Ecuatoriales Superficiales (AES) y Aguas Subtropicales superficiales (ASS).

Off-road sampling reveals a different grassland bird community than roadside sampling: implications for survey design and estimates to guide conservation

Grassland bird species continue to decline steeply across North America. Road-based surveys such as the North American Breeding Bird Survey (BBS) are often used to estimate trends and population sizes and to build species distribution models for grassland birds, although roadside survey counts may introduce bias in estimates because of differences in habitats along roadsides and in off-road surveys. We tested for differences in land cover composition and in the avian community on 21 roadside-based survey routes and in an equal number of adjacent off-road walking routes in the grasslands of southern Alberta, Canada. Off-road routes (n = 225 point counts) had more native grassland and short shrubs and less fallow land and road area than the roadside routes (n = 225 point counts). Consequently, 17 of the 39 bird species differed between the two route types in frequency of occurrence and relative abundance, measured using an indicator species analysis. Six species, including five obligate grassland species, were more prevalent at off-road sites; they included four species listed under the Canadian federal Species At Risk Act or listed by the Committee on the Status of Endangered Wildlife in Canada: Sprague’s Pipit (Anthus spragueii), Baird’s Sparrow (Ammodramus bairdii), the Chestnut-collared Longspur (Calcarius ornatus), and McCown’s Longspur (Rhynchophanes mccownii). The six species were as much as four times more abundant on off-road sites. Species more prevalent along roadside routes included common species and those typical of farmland and other human-modified habitats, e.g., the European Starling (Sturnus vulgaris), the Black-billed Magpie (Pica hudsonia), and the House Sparrow (Passer domesticus). Differences in avian community composition between roadside and off-road surveys suggest that the use of BBS data when generating population estimates or distribution models may overestimate certain common species and underestimate others of conservation concern. Our results highlight the need to develop appropriate corrections for bias in estimates derived from roadside sampling, and the need to design surveys that sample bird communities across a more representative cross-section of the landscape, both near and far from roads. 

Brachyuran soft-bottom assemblage from marine shallow waters in the southeastern Brazilian littoral.

The present investigation examined the assemblages of brachyuran crabs in three bays of southeastern So Paulo State, analyzing the numbers of species and individuals, biomass, and diversity. The crabs were collected monthly in Ubatumirim, Ubatuba, and Mar Virado bays in the Ubatuba region over 2 years (1998 and 1999). In each bay, six tows were made from a fishing boat. A total of 39,820 specimens, representing 11 super families, 39 genera, and 65 species of brachyurans, were obtained. The mean number of specimens and biomass varied seasonally, which can be mainly related with the population tendencies of two dominant species in the area (Callinectes ornatus and Hepatus pudibundus). The highest numbers of individuals and species were found in Ubatuba Bay, followed by Ubatumirim and Mar Virado. The highest diversity index was estimated for Ubatumirim (H' = 2.44), followed by Ubatuba (H' = 2.37) and Mar Virado (H' = 1.86). In general, the coastal region supported high abundance and species richness concerning brachyurans, with high diversity indices, probably because of its more-heterogeneous substrate, which may afford more refuges for certain species. These results suggested that environmental conditions in this area, although they showed certain differences, are favorable for the establishment and development of a diverse brachyuran guild.

Dimensionamento e sobreposição de nichos dos portunídeos (Decapoda, Brachyura), na Enseada da Fortaleza, Ubatuba, São Paulo, Brasil

The niche breadth of the Portunidae and their overlap on the subtidal sediments of Fortaleza bay, Ubatuba (São Paulo) was analyzed. Samples were made monthly from November/1988 to October/1989, inseven areas of the bay using a shrimp fishery boat equipped with two otter-trawls. Each area was characterized based on environmental factors such as depth, temperature, salinity, dissolved oxygen, organic matter and granulometric composition of the sediment. The number of individuais of each species was registered to each area (resource). Levins's standardized measure (BA) and niche percentage were calculated. Five species of swimming crabs were recorded in this study: Callinectes ornatus Ordway, 1863, Arenaeus cribrarius (Lamarck, 1818), Portunus spinimanus Latreille, 1819, Callinectes danae Smith, 1869 and Portunus spinicarpus (Stimpson, 1871). The widest ecological niche occurred to C. ornatus, present in all sampled areas (generalist species). Such fact can be related to high sediment tolerance when it is compared to P. spinimanus (especialist species) which was limited to the areas with coarse granulometric fractions. Highest niche overlap was verified between C. danae and A. cribrarius may be due to greater salinity tolerance of these species. The low occurrence of P. spinicarpus and its reduced niche size in Fortaleza Bay are due to association of this species to cold water currents (ACAS) more evidente in smaler depths during summer months. One future evaluation of the portunid diet can be useful to complement informations about this important aspect of the marine ecology.

Differential benthic occupation by crabs in the Ubatuba bay, São Paulo, Brazil

The goal of this work was to examine the occurrence of brachyurans in soft bottom sublittoral habitats and their association with some environmental factors. The relative abundance of crabs in two depth strata (from 4.5 to 9 m and from 9 to 18 m) was quantified. Crabs were collected with an otter-trawl with 3.7 m of mouth opening and 12-mm mesh in the cod end. Monthly sampling, consisted of a single trawl in each stratum during a 1-yr period, were carried out. Fifteen brachyuran and six anomuran species were found, including Callinectes ornatus Ordway, 1863; Callinectes danae Smith, 1869; Hepatus pudibundus (Herbst, 1785); Libinia spinosa H. Milne-Edwards, 1834; Persephona punctata (Linnaeus, 1758), and P. mediterranea (Herbst, 1794), which were the most abundant and frequent in the area. The most abundant swimming crabs in both strata were C. ornatus and C, dan(re. Size differences in C. ornatus were observed between strata, suggesting a spatial separation of juveniles and adult crabs.

Diel variations in decapod catch rate and size of captured individuals in a subtropical area of Brazil

Diel variations in decapod crustaceans catch rate, as well as variations in size of sampled individuals, were investigated in a sublittoral portion of Ubatuba Bay (23 degrees 20', 23 degrees 35'S and 44 degrees 50', 45 degrees 14'W) in order to detect differential patterns of occurrence. Three replicate trawls, each enclosing a 2,500 m(2) area, were performed at a median depth of 3.5 m during the waning moon period, in 3 consecutive summer and winter months. Trawls were conducted at dawn, noon, dusk and midnight. Hydrological and substratum features were monitored. Penaeoideans did not show a significant diel catch rate variation during the sampling periods, but the catch rate of brachyurans was highest at dusk and midnight during winter (p < 0.01). Fixing diel variation, catch rates of both brachyurans and penaeoideans are subjected to significant seasonal differences (p < 0.05). The largest specimens of Callinectes ornatus, Xiphopenaeus kroyeri, Rimapenaeus constrictus and Farfantepenaeus spp were found at twilight during summer. Differences on size of captured individuals mainly in samples of portunids and penaeids taken during the course of the day evidences that significant daily movements take place. This confirms that activity alterations depend on characteristics of daily schedules and on environmental demands of studied species.

Comparison of cheliped weight and growth in two species of crabs of the genus Callinectes (Brachyura, Portunidae)

A comparison of the cheliped's weight in two species of the genus Callinectes was accomplished. The species C. danae e C. ornatus were collected by two otter trawl in Ubatuba bay (23 degrees 26' S and 45 degrees 02' W). The allometric constants obtained from the regression adjusted to a power function (Y = aX(b)) were analyzed. These species presented different allometry degrees for each sex considered. The relation Pe x PC presented positive allometry for sex of both species, but male presented higher positive allometry than female. C. danae presented higher positive allometry for chelipeds than C. ornatus. We suggest here that C. danae could be indicated to be submitted to grow out in ponds since it reaches higher size and bigger chelipeds.

Brachyuran community in Ubatuba Bay, northern coast of São Paulo State, Brazil

A bruchyuran crab assemblage from eight transacts at a non-consolidated sublittoral site in Ubatuba Bay was studied on a monthly basis from September 1995 to August 1996. Data about number of individuals of 50 species found and other information such as distribution of the dominant crabs are reported. The family Majidae was represented by 13 species, followed by Xanthidae (13), Portunidae (10), Leucosiidae (5), Calaphidae (2), Dromiidae (2), Parthenopidae (2), Goneplacidae (1), Pinnotharidne (1), and Ocvpodidae (1). The brachyuran taxocoenosis was dominated by Callinectes ornatus (60.4%), Callinectes danae (18.8%), and Hepatus pudibundus (7.7%). representing together 86.9% of the total number of collected brachyurans. The Shannon-Weaver diversity index ranged from 1.10 to 2.06 between transects, and from 1.33 to 2.22 between months, depending more on equitability than on richness.

Composição e abundância dos caranguejos (Decapoda, Brachyura) nas regiões de Ubatuba e Caraguatatuba, litoral norte paulista, Brasil

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)