Modelagem do crescimento de truta arco-?ris na fase de engorda

Detalhes bibliográficos
Autor(a) principal: Janampa-Sarmiento, Peter Charrie
Data de Publicação: 2018
Tipo de documento: Dissertação
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFRRJ
Texto Completo: https://tede.ufrrj.br/jspui/handle/jspui/4979
Resumo: The mathematical modelling through the use of nonlinear equations is an important tool to represent animal growth. In the present study, four nonlinear models (Gompertz, Von Bertalanffy, Logistic and Brody) were used to model the growth in weight and length of rainbow trout (Oncorhynchus mykiss) during 98 days of culture on the fattening phase. These models have 03 parameters: A (weight "g" or length "cm" in the first maturation of the fish), B (precocity index), T (age "days" where the growth rate is maximum, in Logistic and Gompertz equation), K (integration parameter without biological interpretation, in the Brody and Bertalanffy equation). Nine hundred trouts of average initial weight and length and post hatch age of 122.11 ? 15.6g, 22.42 ? 0.71cm and 273 days, respectively, were maintained in nine similar tanks (100 fish by tank). Each three tanks were fed with 03 different commercial rations. The adjustment was based on the Least Squares theory using the Marquardt iterative method. The computational procedures were performed by PROC NLIN of SAS. Three levels of weight and length analyzes were performed to test the robustness of fit of the models used: i) individual analysis of data growth for each tank), ii) analyzes of data growth from three tanks submitted to the same feed, and iii) analysis involving data growth from all the tanks. Adjustment criteria was: convergence capacity, coefficient of determination (R2 ), mean square of residue (QMR), Akaike criterion (AIC), mean absolute residue deviation (DMA), mean percentage error (EPM), congruence and usefulness of the information generated by the adjusted model regarding the biological growth of the trout, and the examination and distribution of the residues and studentized residues. Only the Logistico, Gompertz and Bertalanffy models converged to weight data for all the levels analyzes. Parameters A (?580,10 ? 714,10?), B (?0,0196 ? 0,0346?) and T (?311,80 ? 341,40?) obtained by the Logistic model reached the best values of the fitters (R2 ?0,9460 ? 0,8051? QMR ?2889,60 ?1223,80?; AIC ?14062,06 ? 1391,37?; DMA ?35,92 ? 24,59?). For length data, there were cases of non-convergence in all models at level analyses i and ii. However, the parameters A (?39,63 - 387,30?), B (?0,0041 ? 0,0144?) and T (?255,20 ? 959,80?) obtained by the Logistic model reached the best values of the fitters (R2?0,9984 ? 0,9970?; QMR ?2,20 ?1,18?; AIC ?1395,20 ? 37,48?; DMA ?1,08 ? 0,82?) and their calculated growth values were congruent with biological features growth of rainbow trout. Notwithstanding, this model tends to overestimate growth (EPM ?-1.00 ? -3.78?) and presents discrepant values.We concluded, weight data growth of rainbow trout on fattening phase was more able to fit to the Logistic model. Finally, length data growth have presented more complex distribution pattern and, therefore, difficulties in adjusting by all the models. Then, these models are not recommended for length growth modelling of rainbow trout on fattening phas.
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spelling Pereira, Marcelo Maia9342701451815217http://lattes.cnpq.br/9342701451815217Silva, Vin?cius Pimentel1899895022524077http://lattes.cnpq.br/1899895022524077Mansano, Cleber Fernando Menegasso7516566874692253http://lattes.cnpq.br/75165668746922531162869059660247http://lattes.cnpq.br/1162869059660247Janampa-Sarmiento, Peter Charrie2021-08-30T14:54:26Z2018-08-03JANAMPA-SARMIENTO, Peter Charrie. Modelagem do crescimento de truta arco-?ris na fase de engorda. 2018. 49 f. Disserta??o (Mestrado em Zootecnia) - Instituto de Zootecnia, Universidade Federal Rural do Rio de Janeiro, Serop?dica, RJ, 2018.https://tede.ufrrj.br/jspui/handle/jspui/4979The mathematical modelling through the use of nonlinear equations is an important tool to represent animal growth. In the present study, four nonlinear models (Gompertz, Von Bertalanffy, Logistic and Brody) were used to model the growth in weight and length of rainbow trout (Oncorhynchus mykiss) during 98 days of culture on the fattening phase. These models have 03 parameters: A (weight "g" or length "cm" in the first maturation of the fish), B (precocity index), T (age "days" where the growth rate is maximum, in Logistic and Gompertz equation), K (integration parameter without biological interpretation, in the Brody and Bertalanffy equation). Nine hundred trouts of average initial weight and length and post hatch age of 122.11 ? 15.6g, 22.42 ? 0.71cm and 273 days, respectively, were maintained in nine similar tanks (100 fish by tank). Each three tanks were fed with 03 different commercial rations. The adjustment was based on the Least Squares theory using the Marquardt iterative method. The computational procedures were performed by PROC NLIN of SAS. Three levels of weight and length analyzes were performed to test the robustness of fit of the models used: i) individual analysis of data growth for each tank), ii) analyzes of data growth from three tanks submitted to the same feed, and iii) analysis involving data growth from all the tanks. Adjustment criteria was: convergence capacity, coefficient of determination (R2 ), mean square of residue (QMR), Akaike criterion (AIC), mean absolute residue deviation (DMA), mean percentage error (EPM), congruence and usefulness of the information generated by the adjusted model regarding the biological growth of the trout, and the examination and distribution of the residues and studentized residues. Only the Logistico, Gompertz and Bertalanffy models converged to weight data for all the levels analyzes. Parameters A (?580,10 ? 714,10?), B (?0,0196 ? 0,0346?) and T (?311,80 ? 341,40?) obtained by the Logistic model reached the best values of the fitters (R2 ?0,9460 ? 0,8051? QMR ?2889,60 ?1223,80?; AIC ?14062,06 ? 1391,37?; DMA ?35,92 ? 24,59?). For length data, there were cases of non-convergence in all models at level analyses i and ii. However, the parameters A (?39,63 - 387,30?), B (?0,0041 ? 0,0144?) and T (?255,20 ? 959,80?) obtained by the Logistic model reached the best values of the fitters (R2?0,9984 ? 0,9970?; QMR ?2,20 ?1,18?; AIC ?1395,20 ? 37,48?; DMA ?1,08 ? 0,82?) and their calculated growth values were congruent with biological features growth of rainbow trout. Notwithstanding, this model tends to overestimate growth (EPM ?-1.00 ? -3.78?) and presents discrepant values.We concluded, weight data growth of rainbow trout on fattening phase was more able to fit to the Logistic model. Finally, length data growth have presented more complex distribution pattern and, therefore, difficulties in adjusting by all the models. Then, these models are not recommended for length growth modelling of rainbow trout on fattening phas.A utiliza??o de modelos matem?ticos atrav?s do uso de equa??es n?o lineares ? uma importante ferramenta para representar o crescimento animal. No presente estudo foram utilizados quatro modelos n?o lineares (Gompertz, Von Bertalanffy, Log?stico e Brody) para modelar o crescimento em peso e comprimento de truta arco-?ris (Oncorhynchus mykiss) durante 98 dias de cultivo na fase de engorda em condi??es de cultivo comercial. Esses modelos possuem 03 par?metros: A (peso ?g? ou comprimento ?cm? na primeira matura??o do peixe), B (?ndice de precocidade), T (idade ?dias? em que a taxa de crescimento ? m?xima, nos modelos Logistico e Gompertz), K (par?metro de integra??o sem interpreta??o biol?gica, nos modelos Brody e Bertalanffy). Foram mantidas 900 trutas com peso e comprimento m?dio inicial e idade p?s-eclos?o de 122,11 ? 15,6g; 22,42 ? 0,71cm; e 273 dias, respectivamente, em nove tanques de material nobre, sendo que a cada tr?s tanques foram alimentados com 03 ra??es comerciais diferentes. O ajuste baseou-se na teoria dos M?nimos Quadrados por meio do m?todo iterativo de Marquardt. Os prodecimentos computacionais foram realizados pelo PROC NLIN do SAS. Foram realizados tr?s n?veis de analises para peso e comprimento a fim de testar a robusticidade do ajuste dos modelos utilizados: i) an?liseindividual de cada tanque), ii) an?lises de tr?s tanques submetidas a uma mesma ra??o, e iii) an?lise que envolve todos os tanques. A avalia??o dos modelos ajustados foi procedida por crit?rios de ajustes: capacidade de converg?ncia, coeficiente de determina??o (R2), quadrado m?dio do res?duo (QMR), crit?rio de Akaike (AIC), desvio m?dio absoluto dos res?duos(DMA), erro porcentual m?dio (EPM), a congru?ncia e utilidade das informa??es geradas pelo modelo ajustado respeito ao crescimento biol?gico da truta, e examina??o e distribui??o dos res?duos e res?duos studentizados. S? os modelos Logistico, Gompertz e Bertalanffy convergeram aos dados em peso para cada um dos n?veis, dos quais os par?metros A (?580,10 - 714,10?), B (?0,0196 - 0,0346?) e T (?311,80 - 341,40?) obtidos pelo modelo Log?stico atingiram os melhores valores dos avaliadores de ajuste (R2?0,9460 ? 0,8051?; QMR ?2889,60 - 1223,80?; AIC ?14062,06 - 1391,37?; DMA ?35,92 - 24,59?). J? para dados em comprimento, se observaram casos de n?o converg?ncia em todos os modelos nos n?veis 1 e 2, entretanto os par?metros A (?39,63 - 387,30?), B (?0,0041 - 0,0144?) e T (?255,20 -959,80?) obtidos pelo modelo Log?stico atingiram os melhores valores dos avaliadores de ajuste (R2?0,9984 ? 0,9970?; QMR ?2,20 - 1,18?; AIC ?1395,20 ? 37,48?; DMA ?1,08 -0,82?). Conclui-se que informa??es em peso tiveram maior capacidade de se ajustar ao modelo Log?stico, apesar que esse modelo tem tend?ncia ? superestimativa (EPM ?-1,00 - - 3,78?) e presen?a de valores discrepantes. Finalmente, observou-se que os dados em comprimento se apresentaram com um padr?o de distribui??o demais complexos e, portanto, os dados apresentaram dificuldade em se ajustar em todos os modelos, sendo n?o recomend?veis para modelar o crescimento em comprimento em truta arco-?ris na fase de engorda.Submitted by Leticia Schettini (leticia@ufrrj.br) on 2021-08-30T14:54:26Z No. of bitstreams: 1 2018 - Peter Charrie Janampa Sarmiento.pdf: 1407782 bytes, checksum: 4ad7a98574708b3c2706f56809a8ce38 (MD5)Made available in DSpace on 2021-08-30T14:54:26Z (GMT). No. of bitstreams: 1 2018 - Peter Charrie Janampa Sarmiento.pdf: 1407782 bytes, checksum: 4ad7a98574708b3c2706f56809a8ce38 (MD5) Previous issue date: 2018-08-03CAPES - Coordena??o de Aperfei?oamento de Pessoal de N?vel Superiorapplication/pdfhttps://tede.ufrrj.br/retrieve/66519/2018%20-%20Peter%20Charrie%20Janampa%20Sarmiento.pdf.jpgporUniversidade Federal Rural do Rio de JaneiroPrograma de P?s-Gradua??o em ZootecniaUFRRJBrasilInstituto de ZootecniaALLAMAN I.; NETO R.; FREITAS R.; FREATO T.; LAGO A.; COSTA A.; LIMA R. Weight and morphometric growth of different strains of tilapia (Oreochromis sp). Revista Brasileira de Zootecnia, v.42, n.5, p.305-311, 2013. AGUILAR, F. A. Modelos matem?ticos no lineales como herramienta para evaluar el crecimiento de tilapia roja (Oreochromis spp.) y tilapia nil?tica (Oreochromis niloticus Var. Chitralada) alimentadas con dietas peletizadas o extruidas. 2010. 135p, Disserta??o (Mestrado em Produ??o Animal) - Faculdade de Medicina Veterin?ria e de Zootecnia, Universidade Nacional de Col?mbia, Bogot?, 2010. AMANCIO, ALDA L?CIA DE LIMA; SILVA, JOS? HUMBERTO VILAR DA; FERNANDES, JO?O BATISTA KOCHENBORGER; SAKOMURA, NILVA KAZUE; CRUZ, GEORGE RODRIGO BELTR?O DA. Use of mathematical models in the study of bodily growth in GIFT strain Nile tilapia. Revista Ci?ncia Agron?mica, v.45, n.2, p.257-266. 2014. Dispon?vel em <https://dx.doi.org/10.1590/S1806- 66902014000200005> Acesso em 28 jan. 2018 ARAG?N-NORIEGA, EUGENIO ALBERTO. Crecimiento individual de camar?n blanco Litopenaeus vannamei (Boone, 1931) y camar?n azul Litopenaeus stylirostris (Stimpson, 1874) (Decapoda: Penaeidae) con un enfoque multi-modelo. Latin American Journal of Aquatic Research, v.44, n.3, p.480-486, 2016. Dispon?vel em: <https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0718- 560X2016000300006&lng=en&tlng=es> Acesso em: 28 jan. 2018 BACA R, IC LAS. A Short History of Mathematical Population Dynamics. 1 ed. London: Springer-Verlag London Ltd, 160p, 2011. BARDSLEY, W. G.; ACKERMAN, R. A.; BUKHARI, N. A.; DEEMING, D. C.; FERGUSON, M. W. Mathematical models for growth in alligator (Alligator mississippiensis) embryos developing at different incubation temperatures. Journal of Anatomy, n.187, p.181?190, 1995. BERNARD, D.; HOLMSTROM, C. Growth and food habits of strains of rainbow trout (Salmo gairdneri; Richardson) in Winterkill Lakes of Western Manitoba. Fisheries and Marine Service Manuscript Report n.1477, pp.20, 1978. BLAIR, J. M.; OSTROVSKY, I.; HICKS, B. J.; PITKETHLEY, R. J.; SCHOLES, P. Growth of rainbow trout (Oncorhynchus mykiss) in warm-temperate lakes: implications for environmental change. Canadian Journal Fishery and Aquatic Science. v.70, n.5, p.815-823, 2013. BERTALANFFY, L. VON. Untersuchungen uber die Gesetzlichkeit des Wachstums. I. Allgemeine Grundlagen der Theorie: Mathematische und physiologische Gesetzlichkeiten des Wachstums bei Wassertieren. Wilhelm Roux Arch Entwickl Mech Org, v.131, n.4, p.613-653, 1934. BRODY, S. Bioenergetics and Growth. 1 ed. New York: Rheinhold Publishing, 1023p. 1945 35 BUREAU, B. P.; AZEVEDO, P. A.; TAPIA-SALAZAR, M.; CUZON, G. Pattern and cost of growth and nutrient deposition in fish and shrimp: Potential implications and applications. In: CRUZ -SU?REZ, L.E.; RICQUE-MARIE, D.; TAPIA-SALAZAR, M.; OLVERA-NOVOA, M.A.; CIVERA-CERECEDO, R.; (Eds.). Avances en Nutrici?n Acu?cola V. Memorias del V Simposium Internacional de Nutrici?n Acu?cola, M?rida, Yucat?n, Mexico. Noviembre, p.19-22. 2000. CAILLIET, G. M.; SMITH, W. D.; MOLLET, H. F.; GOLDMAN K. J. Age and growth studies of chondrichthyan fishes: the need for consistency in terminology, verification, validation, and growth function fitting. Enviromental Biology of Fishes, v.77, p.211-228. 2006. Dispon?vel em: <https://doi.org/10.1007/s10641-006-9105-5> Acesso em: 28 jan. 2018 CARVALHO J. C. Desempenho zoot?cnico e curvas de crescimento de til?pia do Nilo (Oreochromis niloticus) melhoradas geneticamente para ganho em peso. Disserta??o (Mestrado em Ci?ncia Animal), Universidade Federal de Mato Grosso do Sul. Campo Grande, Brazil. 2016. CILBIZ, M.; YALIM, F. B. Growth, Mortality, Recruitment and Yield of Rainbow Trout, Oncorhynchus mykiss Walbaum, 1792 in Karaca?ren-I Dam Lake, Turkey. Pakistan Journal of Zoology, v.49, p.825-832, 2017. COSTA, A. C.; REIS NETO, R. V.; FREITAS, R. T. F.; FREATO, T. A.; LAGO, A. A.; SANTOS, V. B. Avalia??o do crescimento de til?pias de diferentes linhagens atrav?s de modelos n?o lineares. Archivos de Zootecnia, v.58, supl.1 p.561-564, 2009. Dispon?vel em: <http://www.redalyc.org/articulo.oa?id=49515040021> Acesso em: 28 jan. 2018 DAVIDSON, J. W.; KENNEY, P. B.; MANOR, M.; GOOD, C. M.; WEBER, G. M.; AUSSANASUWANNAKUL, A.; TURK, P. J.; WELSH, C.; SUMMERFELT S. T. Growth Performance, Fillet Quality, and Reproductive Maturity of Rainbow Trout (Oncorhynchus mykiss) Cultured to 5 Kilograms within Freshwater Recirculating Systems. Journal of Aquaculture Research and Development, v.5, n.4, pp.9, 2014. DUMAS, A.; FRANCE, J.; BUREAU, D. P. Evidence of three growth stanzas in rainbow trout (Oncorhynchus mykiss) across life stages and adaptation of the thermal-unit growth coe?cient. Aquaculture v.267, p.139-146. 2007. DUMAS, A.; FRANCE, J.; BUREAU, D. Modelling growth and body composition in fish nutrition: where have we been and where are we going? Aquaculture Research, v.41, p.161-181, 2010. ESMAEILI, A.; M. H. TARAZKAR. Prediction of shrimp growth using an artificial neural network and regression models. Aquaculture International, v.19, n.4, p.705-713, 2011. ESPITIA-MANRIQUE, C. H.; FERNANDES, J. B. K.; SAKOMURA, N. K.; ARIAS VIGOYA, ?. A.; NASCIMENTO, T. M. T.; SILVA, E. P.; MANSANO, C. F. M. Description of growth and body composition of freshwater angelfish (Pterophyllum scalare) by Gompertz model. Revista Brasileira de Zootecnia, v.46, n.8, p.631-637, 2017. Dispon?vel em: <https://dx.doi.org/10.1590/s1806-92902017000800001> Acesso em: 28 jan. 2018. 36 FAO - Fisheries and Aquaculture Information and Statistics Branch. 2018. Dispon?vel em:<http://www.fao.org/figis/servlet/TabLandArea?tb_ds=Aquaculture&tb_mode=TABL E&tb_act=SELECT&tb_grp=COUNTRY> 07 de junho de 2018. FAO - Cultured Aquatic Species Information Programme. Oncorhynchus mykiss. Cultured Aquatic Species Information Programme. Text by Cowx, I. G. In: FAO Fisheries and Aquaculture Department [online]. Rome. Updated 15 June 2005. [Cited 20 September 2018]. FIALHO, FLAVIO BELLO. 1999, Interpreta??o da curva de crescimento de Gompertz. Embrapa Su?nos e Aves, Comunicado T?cnico n.237, p.1?4, 1999. FITZHUGH H. A. Analysis of growth curves and strategies for altering their shape. Journal of Animal Science, v.42, n.4, p.1036-1051, 1976. FRANCE J.; DIJKSTRA J.; DHANOA M. S. Growth functions and their application in animal science. Annales de zootechnie, INRA/EDP Sciences, v.45, (Supl1), p.165-174, 1996. FREITAS, ALFREDO RIBEIRO DE. Curva de Crescimento na Produ??o animal. Revista Brasileira de Zootecnia, v.34, n.3, p.786-795, 2005. GOMIERO, J. S. G.; FREITAS, R. T. F.; SANTOS, V. B.; SILVA, F. F.; RODRIGUES, P. B.; LOGATO, P. V. R. Curvas de crescimento morfom?trico de piracanjuba (Brycon orbignyanus). Ci?ncia e Agrotecnologia, v.33, n.3, p.882-889, 2009. GOMPERTZ, B. On the nature of the function expressive of the law of human mortality and on a new model of determining life contingencies. Philosophical Transaction of the Royal Society, v.115, p.513?585, 1825. GOONEWARDENE, L. A.; BERG, R. T.; HARDIN, R. T. A. growth study of beef cattle. Canadian Journal of Animal Science, Ottawa, v.61, p.1041-1048, 1981. GRIMM, K. J.; RAM, N.; HAMAGAMI, F. Nonlinear Growth Curves in Developmental Research. Child Development, 82: 1357?1371, 2011. GUERRERO C. A.; LAFARGA A. M.; CATALDO D. H.; QUIR?S R. Evaluaci?n del rendimiento pesquero potencial de la Rep?blica Argentina. I. Datos. Informe T?cnico Nro 11, Dpto. Aguas Continentales, INIDEP, 1988 HERNANDEZ-LLLAMAS A.; RATKOWSKY D. A. Growth of fishes, crustaceans and molluscs: estimation of the von Bertalanffy, Logistic, Gompertz and Richards curves and a new growth model. Marine Ecology Progress Series, v.282, p.237?244. 2004. IBGE - Pesquisa pecu?ria 2016. Instituto Brasileiro de Geografia e estat?stica. Dispon?vel em: https://cidades.ibge.gov.br/brasil/mg/pesquisa/18/16459> Acesso em: 28 de fev de 2018. IGFA. World Records. The International Game Fish Association. 2018. Dispon?vel em: http://wrec.igfa.org/WRecDetail.aspx?uid=34448&cn=Trout,%20rainbow#.WwYKVO7t7 IU Acesso em: 28 de fev de 2018. JOBLING, MALCOLM. The thermal growth coefficient (TGC) model of fish growth: a cautionary note. Aquaculture Research, v.34, p.581-584, 2003. 37 KATSANEVAKIS, S.; MARAVELIAS, C. D. Modelling fish growth: multi?model inference as a better alternative to a priori using von Bertalanffy equation. Fish and Fisheries, v.9, p.178-187, 2008. KIRKWOOD, T. B. L. Deciphering death: a commentary on Gompertz (1825) ? n the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies?. Philosophical Transasctions of the Royal Society. Biological Sciences. v.370, pp.8 2015. Dispon?vel em: <http://dx.doi.org/10.1098/rstb.2014.0379> Acesso em: 28 de jan 2018. KOYA, P. R.; GOSHU A. T. Generalized Mathematical Model for Biological Growths. Open Journal of Modelling and Simulation, v.1, p.42-53, 2013. LAWRENCE, T. L. J.; FOWLER, V. R. Growth of Farm Animals. 2 ed. Wallingford: CAB International. 346p. 2002. LAZZAROTTO, H.; CARAMASCHI, ?. P. Introdu??o da Truta no Brasil e na bacia do rio Maca?, Estado do Rio de Janeiro: Hist?rico, Legisla??o e Perspectivas. Oecologia Brasiliensis,v.13, n.4 p.649-659, 2009. LEMONTE, A. J. Diagn?stico em regress?o normal linear: princ?pios e aplica??o. Revista Brasileira de Biometria, v.26, p.07-26, 2008. L?BO, R. N. B.; MARTINS F. R. Avalia??o de M?todos de Padroniza??o dos Pesos Corporais ?s Idades de 205, 365 e 550 Dias. Revista Brasileira de Zootecnia, v.31, n.4, p.1695-1706. 2002. Dispon?vel em: <https://dx.doi.org/10.1590/S1516- 35982002000700012> Acesso em: 28 de jan 2018. L?PEZ, S. Non-linear Functions in Animal Nutrition. In: Mathematical Modelling in Animal Nutrition, J. France and E. Kebreab. 1ed, CAB International. pp.640, 2008. LUGERT, V.; TETENS J.; THALLER G.; SCHULZ C.; KRIETER J.; Finding suitable growth models for turbot (Scophthalmus maximus L.) in aquaculture 1 (length application). Aquaculture Research, p.1?13. 2015. LUGERT, V.; THALLER, G.; TETENS, J.; SCHULZ, C.; KRIETER, J. A review on fish growth calculation: multiple functions in fish production and their specific application, Reviews in Aquaculture, v.6, p.1?13, 2014. Dispon?vel em: <http://dx.doi.org/10.1111/raq.1207> 28 de janeiro de 2018. MACHADO, T. M. Tecnologia e viabilidade econ?mica do suced?neo de caviar das ovas de truta arco-?ris (Oncorhynchus mykiss). 72 p. Disserta??o (Mestrado. Instituto de Pesca, APTA). 2013. Dispon?vel em: <http://www.pesca.sp.gov.br/dissertacoes_pg.php> Acesso em: 4 de junho. 2018. MACHADO, T.; RIGOLINO, M. M.; TABATA, Y. A. Manejo reprodutivo da truta arco-?ris. Instituto de Pesca de S?o Paulo. 2007. Dispon?vel em: <http:// ftp://ftp.sp.gov.br/ftppesca/truta_arco-iris.pdf> Acesso em: 4 de junho de 2018. MALHADO, C. H. M.; CARNEIRO, P. L. S.; AFFONSO, P. R. A. M.; SOUZA, A. A. O.; SARMENTO, J. L. R. Growth curves in Dorper sheep crossed with the local Brazilian breeds, Morada Nova, Rabo Largo, and Santa In?s, Small Ruminant Research, v.84, n.1?3, p.16-21, 2009. Dispon?vel em: < https://doi.org/10.1016/j.smallrumres.2009.04.006> 28 de janeiro de 2018. 38 MANSANO, C. F. M; MACENTE, B. I.; KHAN, K. U.; DO NASCIMENTO, T. M.T.; DA SILVA, E.P.; SAKOMURA, N. K.; FERNANDES, J. B. K. Chapter 2: Morphometric growth characteristics and body composition of fish and amphibians. New Insights into Morphometry Studies. In: Pares-Casanova PM, ed. London. p.7-28, 2017. MANSANO, C.; ST?FANI, M.; PEREIRA, M.; MACENTE, B. Non-linear growth models for bullfrog tadpoles. Ci?ncia e Agrotecnologia, Lavras, v. 36, n. 4, p. 454-462, 2012. MARQUARDT, D. W. An Algorithm for Least-Squares Estimation of Nonlinear Parameters. Journal of the Society for Industrial and Applied Mathematics, v.11, n.2, p.431-441, 1963. MDIC. Dados do Com?rcio Exterior. Brasil: Minist?rio do Desenvolvimento, da Ind?stria e Com?rcio Exterior, Junho 2018. Anual. Dispon?vel em: <http://comexstat.mdic.gov.br/es/home> Acesso em: 07 de junho de 2018. ORTEGA-LIZ?RRAGA, G. G.; RODR?GUEZ-DOM?NGUEZ, G.; P?REZ GONZ?LEZ, R.; CASTA?EDA-LOMAS, N.; ARAG?N-NORIEGA, E. A. Estimation of growth parameters of male blue crabs Callinectes arcuatus (Brachyura: Portunidae) from the Gulf of California using the Schnute model. Latin American Journal of Aquatic Research, v.44 n.2, p.371-379, 2016. Dispon?vel em: <https://dx.doi.org/10.3856/vol44-issue2-fulltext-18> Acesso em: 28 de janeiro de 2018. PANIK, M. J. Growth Curve Modeling: Theory and Applications. 1 ed. John Wiley & Sons, Inc, Hoboken, NJ. p.454, 2014. PAWLAK, C.; HANUMARA, R.C. A comparison of nonlinear growth models for fisheries. Fishery Research (Amsterdam), v.11, p.143-154, 1991. PEARL, R. Biology of Population Growth, 1 ed, Knopf, New York, p.260, 1930. PEREIRA, M. M.; MANSANO, C. F. M.; SILVA, E. P.; ST?FANI, M. V. Growth in weight and of some tissues in the bullfrog: fitting nonlinear models during the fattening phase. Ci?ncia e Agrotecnologia, v.38 n.6, p.598-606, 2014. Dispon?vel em: <https://dx.doi.org/10.1590/S1413-70542014000600009> Acesso em: 28 de janeiro de 2018. POBLETE, A. T. S. Life history of rainbow trout and considerations for introducing steelhead into southern Chile. Disserta??o (Master Thesis in Fisheries and Wildlife). Oregon State University. USA. 1988. Dispon?vel em: <http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/v405sd18q> Acesso em: 28 de jan de 2018. POWELL, C.; DUMAS, S.; BUREAU, D.; HOOK, S.; FRANCE, J. Mathematical descriptions of indeterminate growth, Journal of Theoretical Biology, pp.37 2017. PUTTER, A. Studien Uber physiologische Ahnlichkeit. VI. Wachstumsahnlichkeiten. Pftig. Arch. ges. Physiol. v.180, p.298-340, 1920. QUISPE, P. C. Determinaci?n del crecimiento de la trucha arco iris Oncorhynchus mykiss cultivada extensivamente en la laguna Suches - Tacna desde 1996 a 2005, mediante modelo Von Bertalanffy. Universidad Nacional Jorge Basadre Grohmann, 2008. 39 RAWLINGS J. O.; PANTULA S. G.; DICKEY D. A. Applied Regression Analysis. 2 ed. New York:Springer-Verlag, p.659, 1998. RODRIGUES, A.; CHAVES, L. M.; SILVA, F. F.; ZEVIANI, W. M. Utiliza??o da regress?o isot?nica em estudos de curvas de crescimento. Revista Brasileira de Biometria, S?o Paulo, v.28, n.4, p.85-101, 2010. RODRIGUES, A. P. O.; LIMA, A. F.; ALVES, A. L.; ROSA, D. K.; TORATI, L. S.; SANTOS, V. R. V. Piscicultura de ?gua doce: multiplicando conhecimento. 1? ed. Bras?lia: Embrapa. 440p. 2013. RODRIGUES, M. L.; LIMA, S. L.; MOURA, O. M.; AGOSTINHO, C. A.; SILVA, J. H. V.; CRUZ, G. R. B.; CAMPOS, V. M.; CASALI, A. P.; MENDES, R. R. B.; ALBUQUERQUE, A. G. Curva de crescimento em r?-touro na fase de recria. Archivos de Zootecnia. v.56, n.214 p.125-136, 2007. ROGERS-BENNETT, L.; ROGERS, D. W.; BENNETT, W.A.; EBERT, T.A.; Modeling red sea urchin (Strongylocentrotus franciscanus) growth using six growth functions. Fisheries Bulletin, v.101, p.614?626, 2003. ROSA, M. D.; SILVA, J. A.; SILVA, A. L.; Modelling growth in cultures of Oreochromis niloticus (L.) and Cyprinus carpio L. in Pernambuco, Brazil. Aquaculture Research, v.28, p.199-204, 1997. SABETIAN, M.; DELSHAD, S. T.; MOINI, S.; ISLAMI, H.R.; MOTALEBI, A. Identification of fatty acid content, amino acid profile and proximate composition in rainbow trout (Oncorhynchus mykiss). Journal of American Science. v.8, p.670-677, 2012. SALEM, M.; MANOR, M.; AUSSANASUWANNAKUL, A.; KENNEY, B.; WEBER, G.; YAO, J. Effect of sexual maturation on muscle gene expression of rainbow trout: RNA-Seq approach. Physiological Reports, v.1, n.5, 15p, 2013. SANTOS, V. B.; MARECO, E. A.; SILVA, M. D. P. Growth curves of Nile tilapia (Oreochromis niloticus) strains cultivated at different temperatures. Acta Scientiarum, Animal Science, Maring?, v.35, n.3, p.235-242, 2013. SANTOS, V.; FREITAS, R.; SILVA, F.; FREATO, T. Avalia??o de curvas de crescimento morfom?trico de linhagens de til?pia do nilo (Oreochromis niloticus). Ci?ncia e Agrotecnologia, Lavras, v.31, n.5, p.1486-1492, 2007. SAS. Institute Inc. SAS/ACCESS 9.4 interfaces to ADABAS: Reference. SAS Institute Inc., Cary, NC; 2013 SARMENTO, J. L. R.; REGAZZI, A. J.; SOUZA, W. H.; TORRES, R. A.; BREDA, F. C.; MENEZES, G. R. O. Analysis of the growth curve of Santa Ines sheep. Revista Brasileira de Zootecnia, v.35, p.435-442, 2006. SCHERR, C.; GAGLIARDI, A.; MINAME, M.; SANTOS, R. Fatty Acid and Cholesterol Concentrations in Usually Consumed Fish in Brazil. Arquivos Brasileiros de Cardiologia, v.104 n.2, p.152-158, 2014. Dispon?vel em: <https://dx.doi.org/10.5935/abc.20140176> Acesso em: 28 de jan. de 2018. SEBRAE. Aquicultura no Brasil. S?rie estudos mercadol?gicos. Servi?o brasileiro de apoio ?s micro e pequenas empresas. 2015. 40 SILLIMAN, R. P. 1969. Comparison between Gompertz and von Bertalanffy Curves for Expressing Growth in Weight of Fishes. Journal of the Fisheries Research Board of Canada, v.26 n.1, p.161-165, 1969. Dispon?vel em: <https://doi.org/10.1139/f69-017> Acesso em: 28 de janeiro de 2018. SILVA, T.; SANTOS, L.; SILVA, L.; MICHELATO, M.; FURUYA, V.; FURUYA, W. Length?weight relationship and prediction equations of body composition for growing finishing cage-farmed Nile tilapia. Revista Brasileira de Zootecnia, v.44, n.4, p.133-137, 2015. SHAH, M.A. Stochastic logistic model for fish growth, Open Journal of Statistics, v.4, p.11?18, 2014. Dispon?vel em: http://dx.doi.org/10.4236/ojs.2014.41002 Acesso em: 28 de jan. de 2018. SLOAT, M. R.; REEVES, G. H. Individual condition, standard metabolic rate, and rearing temperature influence steelhead and rainbow trout (Oncorhynchus mykiss) life histories. Canadian Journal of Fisheries and Aquatic Sciences, v.71, p.491?501, 2014. SOUSA, J.; JOS?, A. G.; MARLON S.; CARVALHO, P. G. S.; ROCHA, L. G.; CAMPECHE, D. F. B. Mathematical modeling applied to the growth of tilapia in net cages in the sub middle of the S?o Francisco river. Engenharia Agr?cola, v.34, n.5, p.1001-1011, 2014. Dispon?vel em: <https://dx.doi.org/10.1590/S0100-69162014000500019> Acesso em: 28 de jan. de 2018. TIAN, X.; LEUNG, P.S.; HOCHMAN, E. Shrimp growth functions and their economics implications. Aquaculture Engineering, v.12, p.81?96, 1993. TJ?RVE, K. M. C.; TJ?RVE, E. Shapes and functions of bird-growth models: how to characterize chick postnatal growth. Zoology, v.113, n.6, p.326-333, 2010. Dispon?vel em: <https://doi.org/10.1016/j.zool.2010.05.003> 28 de jan de 2018. TJ?RVE, K. M. C.; TJ?RVE, E. The use of Gompertz models in growth analyses, and new Gompertz-model approach: An addition to the Unified-Richards family. PLoS ONE v.12, n.6, 17p, 2017. Dispon?vel em: <https://doi.org/10.1371/journal.pone.0178691> Acesso em: 28 de jan. de 2018. WIDOWSSON, E. M. Chapter 1: Definitions of growth. In Growth in Animals: Studies in the Agricultural and Food Sciences By Lawrence T. L. J. 1 ed. 316p, 1980. YU, RUN; LEUNG, PING SUN. A Bayesian hierarchical model for modeling white shrimp (Litopenaeus vannamei) growth in a commercial shrimp farm, Aquaculture, v.306, n.1?4, p.205-210, 2010. YUN, B.; YU, X.; XUE, M.; LIU, Y.; WANG, J.; WU, X.; HAN F.; LIANG X. 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dc.title.por.fl_str_mv Modelagem do crescimento de truta arco-?ris na fase de engorda
dc.title.alternative.eng.fl_str_mv Fitting nonlinear equations to the growth-out phase of commercial rainbow trout
title Modelagem do crescimento de truta arco-?ris na fase de engorda
spellingShingle Modelagem do crescimento de truta arco-?ris na fase de engorda
Janampa-Sarmiento, Peter Charrie
Modelagem
Crescimento
Gompertz
Log?stico
Bertalanffy
Brody
Modelling
Growth, Logistic, Gompertz, Bertalanffy, Brody.
Logistic
Gompertz
Bertalanffy
Brody
Zootecnia
title_short Modelagem do crescimento de truta arco-?ris na fase de engorda
title_full Modelagem do crescimento de truta arco-?ris na fase de engorda
title_fullStr Modelagem do crescimento de truta arco-?ris na fase de engorda
title_full_unstemmed Modelagem do crescimento de truta arco-?ris na fase de engorda
title_sort Modelagem do crescimento de truta arco-?ris na fase de engorda
author Janampa-Sarmiento, Peter Charrie
author_facet Janampa-Sarmiento, Peter Charrie
author_role author
dc.contributor.advisor1.fl_str_mv Pereira, Marcelo Maia
dc.contributor.advisor1ID.fl_str_mv 9342701451815217
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/9342701451815217
dc.contributor.referee1.fl_str_mv Silva, Vin?cius Pimentel
dc.contributor.referee1ID.fl_str_mv 1899895022524077
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/1899895022524077
dc.contributor.referee2.fl_str_mv Mansano, Cleber Fernando Menegasso
dc.contributor.referee2ID.fl_str_mv 7516566874692253
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/7516566874692253
dc.contributor.authorID.fl_str_mv 1162869059660247
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/1162869059660247
dc.contributor.author.fl_str_mv Janampa-Sarmiento, Peter Charrie
contributor_str_mv Pereira, Marcelo Maia
Silva, Vin?cius Pimentel
Mansano, Cleber Fernando Menegasso
dc.subject.por.fl_str_mv Modelagem
Crescimento
Gompertz
Log?stico
Bertalanffy
Brody
topic Modelagem
Crescimento
Gompertz
Log?stico
Bertalanffy
Brody
Modelling
Growth, Logistic, Gompertz, Bertalanffy, Brody.
Logistic
Gompertz
Bertalanffy
Brody
Zootecnia
dc.subject.eng.fl_str_mv Modelling
Growth, Logistic, Gompertz, Bertalanffy, Brody.
Logistic
Gompertz
Bertalanffy
Brody
dc.subject.cnpq.fl_str_mv Zootecnia
description The mathematical modelling through the use of nonlinear equations is an important tool to represent animal growth. In the present study, four nonlinear models (Gompertz, Von Bertalanffy, Logistic and Brody) were used to model the growth in weight and length of rainbow trout (Oncorhynchus mykiss) during 98 days of culture on the fattening phase. These models have 03 parameters: A (weight "g" or length "cm" in the first maturation of the fish), B (precocity index), T (age "days" where the growth rate is maximum, in Logistic and Gompertz equation), K (integration parameter without biological interpretation, in the Brody and Bertalanffy equation). Nine hundred trouts of average initial weight and length and post hatch age of 122.11 ? 15.6g, 22.42 ? 0.71cm and 273 days, respectively, were maintained in nine similar tanks (100 fish by tank). Each three tanks were fed with 03 different commercial rations. The adjustment was based on the Least Squares theory using the Marquardt iterative method. The computational procedures were performed by PROC NLIN of SAS. Three levels of weight and length analyzes were performed to test the robustness of fit of the models used: i) individual analysis of data growth for each tank), ii) analyzes of data growth from three tanks submitted to the same feed, and iii) analysis involving data growth from all the tanks. Adjustment criteria was: convergence capacity, coefficient of determination (R2 ), mean square of residue (QMR), Akaike criterion (AIC), mean absolute residue deviation (DMA), mean percentage error (EPM), congruence and usefulness of the information generated by the adjusted model regarding the biological growth of the trout, and the examination and distribution of the residues and studentized residues. Only the Logistico, Gompertz and Bertalanffy models converged to weight data for all the levels analyzes. Parameters A (?580,10 ? 714,10?), B (?0,0196 ? 0,0346?) and T (?311,80 ? 341,40?) obtained by the Logistic model reached the best values of the fitters (R2 ?0,9460 ? 0,8051? QMR ?2889,60 ?1223,80?; AIC ?14062,06 ? 1391,37?; DMA ?35,92 ? 24,59?). For length data, there were cases of non-convergence in all models at level analyses i and ii. However, the parameters A (?39,63 - 387,30?), B (?0,0041 ? 0,0144?) and T (?255,20 ? 959,80?) obtained by the Logistic model reached the best values of the fitters (R2?0,9984 ? 0,9970?; QMR ?2,20 ?1,18?; AIC ?1395,20 ? 37,48?; DMA ?1,08 ? 0,82?) and their calculated growth values were congruent with biological features growth of rainbow trout. Notwithstanding, this model tends to overestimate growth (EPM ?-1.00 ? -3.78?) and presents discrepant values.We concluded, weight data growth of rainbow trout on fattening phase was more able to fit to the Logistic model. Finally, length data growth have presented more complex distribution pattern and, therefore, difficulties in adjusting by all the models. Then, these models are not recommended for length growth modelling of rainbow trout on fattening phas.
publishDate 2018
dc.date.issued.fl_str_mv 2018-08-03
dc.date.accessioned.fl_str_mv 2021-08-30T14:54:26Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv JANAMPA-SARMIENTO, Peter Charrie. Modelagem do crescimento de truta arco-?ris na fase de engorda. 2018. 49 f. Disserta??o (Mestrado em Zootecnia) - Instituto de Zootecnia, Universidade Federal Rural do Rio de Janeiro, Serop?dica, RJ, 2018.
dc.identifier.uri.fl_str_mv https://tede.ufrrj.br/jspui/handle/jspui/4979
identifier_str_mv JANAMPA-SARMIENTO, Peter Charrie. Modelagem do crescimento de truta arco-?ris na fase de engorda. 2018. 49 f. Disserta??o (Mestrado em Zootecnia) - Instituto de Zootecnia, Universidade Federal Rural do Rio de Janeiro, Serop?dica, RJ, 2018.
url https://tede.ufrrj.br/jspui/handle/jspui/4979
dc.language.iso.fl_str_mv por
language por
dc.relation.references.por.fl_str_mv ALLAMAN I.; NETO R.; FREITAS R.; FREATO T.; LAGO A.; COSTA A.; LIMA R. Weight and morphometric growth of different strains of tilapia (Oreochromis sp). Revista Brasileira de Zootecnia, v.42, n.5, p.305-311, 2013. AGUILAR, F. A. Modelos matem?ticos no lineales como herramienta para evaluar el crecimiento de tilapia roja (Oreochromis spp.) y tilapia nil?tica (Oreochromis niloticus Var. Chitralada) alimentadas con dietas peletizadas o extruidas. 2010. 135p, Disserta??o (Mestrado em Produ??o Animal) - Faculdade de Medicina Veterin?ria e de Zootecnia, Universidade Nacional de Col?mbia, Bogot?, 2010. AMANCIO, ALDA L?CIA DE LIMA; SILVA, JOS? HUMBERTO VILAR DA; FERNANDES, JO?O BATISTA KOCHENBORGER; SAKOMURA, NILVA KAZUE; CRUZ, GEORGE RODRIGO BELTR?O DA. Use of mathematical models in the study of bodily growth in GIFT strain Nile tilapia. Revista Ci?ncia Agron?mica, v.45, n.2, p.257-266. 2014. Dispon?vel em <https://dx.doi.org/10.1590/S1806- 66902014000200005> Acesso em 28 jan. 2018 ARAG?N-NORIEGA, EUGENIO ALBERTO. Crecimiento individual de camar?n blanco Litopenaeus vannamei (Boone, 1931) y camar?n azul Litopenaeus stylirostris (Stimpson, 1874) (Decapoda: Penaeidae) con un enfoque multi-modelo. Latin American Journal of Aquatic Research, v.44, n.3, p.480-486, 2016. Dispon?vel em: <https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0718- 560X2016000300006&lng=en&tlng=es> Acesso em: 28 jan. 2018 BACA R, IC LAS. A Short History of Mathematical Population Dynamics. 1 ed. London: Springer-Verlag London Ltd, 160p, 2011. BARDSLEY, W. G.; ACKERMAN, R. A.; BUKHARI, N. A.; DEEMING, D. C.; FERGUSON, M. W. Mathematical models for growth in alligator (Alligator mississippiensis) embryos developing at different incubation temperatures. Journal of Anatomy, n.187, p.181?190, 1995. BERNARD, D.; HOLMSTROM, C. Growth and food habits of strains of rainbow trout (Salmo gairdneri; Richardson) in Winterkill Lakes of Western Manitoba. Fisheries and Marine Service Manuscript Report n.1477, pp.20, 1978. BLAIR, J. M.; OSTROVSKY, I.; HICKS, B. J.; PITKETHLEY, R. J.; SCHOLES, P. Growth of rainbow trout (Oncorhynchus mykiss) in warm-temperate lakes: implications for environmental change. Canadian Journal Fishery and Aquatic Science. v.70, n.5, p.815-823, 2013. BERTALANFFY, L. VON. Untersuchungen uber die Gesetzlichkeit des Wachstums. I. Allgemeine Grundlagen der Theorie: Mathematische und physiologische Gesetzlichkeiten des Wachstums bei Wassertieren. Wilhelm Roux Arch Entwickl Mech Org, v.131, n.4, p.613-653, 1934. BRODY, S. Bioenergetics and Growth. 1 ed. New York: Rheinhold Publishing, 1023p. 1945 35 BUREAU, B. P.; AZEVEDO, P. A.; TAPIA-SALAZAR, M.; CUZON, G. Pattern and cost of growth and nutrient deposition in fish and shrimp: Potential implications and applications. In: CRUZ -SU?REZ, L.E.; RICQUE-MARIE, D.; TAPIA-SALAZAR, M.; OLVERA-NOVOA, M.A.; CIVERA-CERECEDO, R.; (Eds.). Avances en Nutrici?n Acu?cola V. Memorias del V Simposium Internacional de Nutrici?n Acu?cola, M?rida, Yucat?n, Mexico. Noviembre, p.19-22. 2000. CAILLIET, G. M.; SMITH, W. D.; MOLLET, H. F.; GOLDMAN K. J. Age and growth studies of chondrichthyan fishes: the need for consistency in terminology, verification, validation, and growth function fitting. Enviromental Biology of Fishes, v.77, p.211-228. 2006. Dispon?vel em: <https://doi.org/10.1007/s10641-006-9105-5> Acesso em: 28 jan. 2018 CARVALHO J. C. Desempenho zoot?cnico e curvas de crescimento de til?pia do Nilo (Oreochromis niloticus) melhoradas geneticamente para ganho em peso. Disserta??o (Mestrado em Ci?ncia Animal), Universidade Federal de Mato Grosso do Sul. Campo Grande, Brazil. 2016. CILBIZ, M.; YALIM, F. B. Growth, Mortality, Recruitment and Yield of Rainbow Trout, Oncorhynchus mykiss Walbaum, 1792 in Karaca?ren-I Dam Lake, Turkey. Pakistan Journal of Zoology, v.49, p.825-832, 2017. COSTA, A. C.; REIS NETO, R. V.; FREITAS, R. T. F.; FREATO, T. A.; LAGO, A. A.; SANTOS, V. B. Avalia??o do crescimento de til?pias de diferentes linhagens atrav?s de modelos n?o lineares. Archivos de Zootecnia, v.58, supl.1 p.561-564, 2009. Dispon?vel em: <http://www.redalyc.org/articulo.oa?id=49515040021> Acesso em: 28 jan. 2018 DAVIDSON, J. W.; KENNEY, P. B.; MANOR, M.; GOOD, C. M.; WEBER, G. M.; AUSSANASUWANNAKUL, A.; TURK, P. J.; WELSH, C.; SUMMERFELT S. T. Growth Performance, Fillet Quality, and Reproductive Maturity of Rainbow Trout (Oncorhynchus mykiss) Cultured to 5 Kilograms within Freshwater Recirculating Systems. Journal of Aquaculture Research and Development, v.5, n.4, pp.9, 2014. DUMAS, A.; FRANCE, J.; BUREAU, D. P. Evidence of three growth stanzas in rainbow trout (Oncorhynchus mykiss) across life stages and adaptation of the thermal-unit growth coe?cient. Aquaculture v.267, p.139-146. 2007. DUMAS, A.; FRANCE, J.; BUREAU, D. Modelling growth and body composition in fish nutrition: where have we been and where are we going? Aquaculture Research, v.41, p.161-181, 2010. ESMAEILI, A.; M. H. TARAZKAR. Prediction of shrimp growth using an artificial neural network and regression models. Aquaculture International, v.19, n.4, p.705-713, 2011. ESPITIA-MANRIQUE, C. H.; FERNANDES, J. B. K.; SAKOMURA, N. K.; ARIAS VIGOYA, ?. A.; NASCIMENTO, T. M. T.; SILVA, E. P.; MANSANO, C. F. M. Description of growth and body composition of freshwater angelfish (Pterophyllum scalare) by Gompertz model. Revista Brasileira de Zootecnia, v.46, n.8, p.631-637, 2017. Dispon?vel em: <https://dx.doi.org/10.1590/s1806-92902017000800001> Acesso em: 28 jan. 2018. 36 FAO - Fisheries and Aquaculture Information and Statistics Branch. 2018. Dispon?vel em:<http://www.fao.org/figis/servlet/TabLandArea?tb_ds=Aquaculture&tb_mode=TABL E&tb_act=SELECT&tb_grp=COUNTRY> 07 de junho de 2018. FAO - Cultured Aquatic Species Information Programme. Oncorhynchus mykiss. Cultured Aquatic Species Information Programme. Text by Cowx, I. G. In: FAO Fisheries and Aquaculture Department [online]. Rome. Updated 15 June 2005. [Cited 20 September 2018]. FIALHO, FLAVIO BELLO. 1999, Interpreta??o da curva de crescimento de Gompertz. Embrapa Su?nos e Aves, Comunicado T?cnico n.237, p.1?4, 1999. FITZHUGH H. A. Analysis of growth curves and strategies for altering their shape. Journal of Animal Science, v.42, n.4, p.1036-1051, 1976. FRANCE J.; DIJKSTRA J.; DHANOA M. S. Growth functions and their application in animal science. Annales de zootechnie, INRA/EDP Sciences, v.45, (Supl1), p.165-174, 1996. FREITAS, ALFREDO RIBEIRO DE. Curva de Crescimento na Produ??o animal. Revista Brasileira de Zootecnia, v.34, n.3, p.786-795, 2005. GOMIERO, J. S. G.; FREITAS, R. T. F.; SANTOS, V. B.; SILVA, F. F.; RODRIGUES, P. B.; LOGATO, P. V. R. Curvas de crescimento morfom?trico de piracanjuba (Brycon orbignyanus). Ci?ncia e Agrotecnologia, v.33, n.3, p.882-889, 2009. GOMPERTZ, B. On the nature of the function expressive of the law of human mortality and on a new model of determining life contingencies. Philosophical Transaction of the Royal Society, v.115, p.513?585, 1825. GOONEWARDENE, L. A.; BERG, R. T.; HARDIN, R. T. A. growth study of beef cattle. Canadian Journal of Animal Science, Ottawa, v.61, p.1041-1048, 1981. GRIMM, K. J.; RAM, N.; HAMAGAMI, F. Nonlinear Growth Curves in Developmental Research. Child Development, 82: 1357?1371, 2011. GUERRERO C. A.; LAFARGA A. M.; CATALDO D. H.; QUIR?S R. Evaluaci?n del rendimiento pesquero potencial de la Rep?blica Argentina. I. Datos. Informe T?cnico Nro 11, Dpto. Aguas Continentales, INIDEP, 1988 HERNANDEZ-LLLAMAS A.; RATKOWSKY D. A. Growth of fishes, crustaceans and molluscs: estimation of the von Bertalanffy, Logistic, Gompertz and Richards curves and a new growth model. Marine Ecology Progress Series, v.282, p.237?244. 2004. IBGE - Pesquisa pecu?ria 2016. Instituto Brasileiro de Geografia e estat?stica. Dispon?vel em: https://cidades.ibge.gov.br/brasil/mg/pesquisa/18/16459> Acesso em: 28 de fev de 2018. IGFA. World Records. The International Game Fish Association. 2018. Dispon?vel em: http://wrec.igfa.org/WRecDetail.aspx?uid=34448&cn=Trout,%20rainbow#.WwYKVO7t7 IU Acesso em: 28 de fev de 2018. JOBLING, MALCOLM. The thermal growth coefficient (TGC) model of fish growth: a cautionary note. Aquaculture Research, v.34, p.581-584, 2003. 37 KATSANEVAKIS, S.; MARAVELIAS, C. D. Modelling fish growth: multi?model inference as a better alternative to a priori using von Bertalanffy equation. Fish and Fisheries, v.9, p.178-187, 2008. KIRKWOOD, T. B. L. Deciphering death: a commentary on Gompertz (1825) ? n the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies?. Philosophical Transasctions of the Royal Society. Biological Sciences. v.370, pp.8 2015. Dispon?vel em: <http://dx.doi.org/10.1098/rstb.2014.0379> Acesso em: 28 de jan 2018. KOYA, P. R.; GOSHU A. T. Generalized Mathematical Model for Biological Growths. Open Journal of Modelling and Simulation, v.1, p.42-53, 2013. LAWRENCE, T. L. J.; FOWLER, V. R. Growth of Farm Animals. 2 ed. Wallingford: CAB International. 346p. 2002. LAZZAROTTO, H.; CARAMASCHI, ?. P. Introdu??o da Truta no Brasil e na bacia do rio Maca?, Estado do Rio de Janeiro: Hist?rico, Legisla??o e Perspectivas. Oecologia Brasiliensis,v.13, n.4 p.649-659, 2009. LEMONTE, A. J. Diagn?stico em regress?o normal linear: princ?pios e aplica??o. Revista Brasileira de Biometria, v.26, p.07-26, 2008. L?BO, R. N. B.; MARTINS F. R. Avalia??o de M?todos de Padroniza??o dos Pesos Corporais ?s Idades de 205, 365 e 550 Dias. Revista Brasileira de Zootecnia, v.31, n.4, p.1695-1706. 2002. Dispon?vel em: <https://dx.doi.org/10.1590/S1516- 35982002000700012> Acesso em: 28 de jan 2018. L?PEZ, S. Non-linear Functions in Animal Nutrition. In: Mathematical Modelling in Animal Nutrition, J. France and E. Kebreab. 1ed, CAB International. pp.640, 2008. LUGERT, V.; TETENS J.; THALLER G.; SCHULZ C.; KRIETER J.; Finding suitable growth models for turbot (Scophthalmus maximus L.) in aquaculture 1 (length application). Aquaculture Research, p.1?13. 2015. LUGERT, V.; THALLER, G.; TETENS, J.; SCHULZ, C.; KRIETER, J. A review on fish growth calculation: multiple functions in fish production and their specific application, Reviews in Aquaculture, v.6, p.1?13, 2014. Dispon?vel em: <http://dx.doi.org/10.1111/raq.1207> 28 de janeiro de 2018. MACHADO, T. M. Tecnologia e viabilidade econ?mica do suced?neo de caviar das ovas de truta arco-?ris (Oncorhynchus mykiss). 72 p. Disserta??o (Mestrado. Instituto de Pesca, APTA). 2013. Dispon?vel em: <http://www.pesca.sp.gov.br/dissertacoes_pg.php> Acesso em: 4 de junho. 2018. MACHADO, T.; RIGOLINO, M. M.; TABATA, Y. A. Manejo reprodutivo da truta arco-?ris. Instituto de Pesca de S?o Paulo. 2007. Dispon?vel em: <http:// ftp://ftp.sp.gov.br/ftppesca/truta_arco-iris.pdf> Acesso em: 4 de junho de 2018. MALHADO, C. H. M.; CARNEIRO, P. L. S.; AFFONSO, P. R. A. M.; SOUZA, A. A. O.; SARMENTO, J. L. R. Growth curves in Dorper sheep crossed with the local Brazilian breeds, Morada Nova, Rabo Largo, and Santa In?s, Small Ruminant Research, v.84, n.1?3, p.16-21, 2009. Dispon?vel em: < https://doi.org/10.1016/j.smallrumres.2009.04.006> 28 de janeiro de 2018. 38 MANSANO, C. F. M; MACENTE, B. I.; KHAN, K. U.; DO NASCIMENTO, T. M.T.; DA SILVA, E.P.; SAKOMURA, N. K.; FERNANDES, J. B. K. Chapter 2: Morphometric growth characteristics and body composition of fish and amphibians. New Insights into Morphometry Studies. In: Pares-Casanova PM, ed. London. p.7-28, 2017. MANSANO, C.; ST?FANI, M.; PEREIRA, M.; MACENTE, B. Non-linear growth models for bullfrog tadpoles. Ci?ncia e Agrotecnologia, Lavras, v. 36, n. 4, p. 454-462, 2012. MARQUARDT, D. W. An Algorithm for Least-Squares Estimation of Nonlinear Parameters. Journal of the Society for Industrial and Applied Mathematics, v.11, n.2, p.431-441, 1963. MDIC. Dados do Com?rcio Exterior. Brasil: Minist?rio do Desenvolvimento, da Ind?stria e Com?rcio Exterior, Junho 2018. Anual. Dispon?vel em: <http://comexstat.mdic.gov.br/es/home> Acesso em: 07 de junho de 2018. ORTEGA-LIZ?RRAGA, G. G.; RODR?GUEZ-DOM?NGUEZ, G.; P?REZ GONZ?LEZ, R.; CASTA?EDA-LOMAS, N.; ARAG?N-NORIEGA, E. A. Estimation of growth parameters of male blue crabs Callinectes arcuatus (Brachyura: Portunidae) from the Gulf of California using the Schnute model. Latin American Journal of Aquatic Research, v.44 n.2, p.371-379, 2016. Dispon?vel em: <https://dx.doi.org/10.3856/vol44-issue2-fulltext-18> Acesso em: 28 de janeiro de 2018. PANIK, M. J. Growth Curve Modeling: Theory and Applications. 1 ed. John Wiley & Sons, Inc, Hoboken, NJ. p.454, 2014. PAWLAK, C.; HANUMARA, R.C. A comparison of nonlinear growth models for fisheries. Fishery Research (Amsterdam), v.11, p.143-154, 1991. PEARL, R. Biology of Population Growth, 1 ed, Knopf, New York, p.260, 1930. PEREIRA, M. M.; MANSANO, C. F. M.; SILVA, E. P.; ST?FANI, M. V. Growth in weight and of some tissues in the bullfrog: fitting nonlinear models during the fattening phase. Ci?ncia e Agrotecnologia, v.38 n.6, p.598-606, 2014. Dispon?vel em: <https://dx.doi.org/10.1590/S1413-70542014000600009> Acesso em: 28 de janeiro de 2018. POBLETE, A. T. S. Life history of rainbow trout and considerations for introducing steelhead into southern Chile. Disserta??o (Master Thesis in Fisheries and Wildlife). Oregon State University. USA. 1988. Dispon?vel em: <http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/v405sd18q> Acesso em: 28 de jan de 2018. POWELL, C.; DUMAS, S.; BUREAU, D.; HOOK, S.; FRANCE, J. Mathematical descriptions of indeterminate growth, Journal of Theoretical Biology, pp.37 2017. PUTTER, A. Studien Uber physiologische Ahnlichkeit. VI. Wachstumsahnlichkeiten. Pftig. Arch. ges. Physiol. v.180, p.298-340, 1920. QUISPE, P. C. Determinaci?n del crecimiento de la trucha arco iris Oncorhynchus mykiss cultivada extensivamente en la laguna Suches - Tacna desde 1996 a 2005, mediante modelo Von Bertalanffy. Universidad Nacional Jorge Basadre Grohmann, 2008. 39 RAWLINGS J. O.; PANTULA S. G.; DICKEY D. A. Applied Regression Analysis. 2 ed. New York:Springer-Verlag, p.659, 1998. RODRIGUES, A.; CHAVES, L. M.; SILVA, F. F.; ZEVIANI, W. M. Utiliza??o da regress?o isot?nica em estudos de curvas de crescimento. Revista Brasileira de Biometria, S?o Paulo, v.28, n.4, p.85-101, 2010. RODRIGUES, A. P. O.; LIMA, A. F.; ALVES, A. L.; ROSA, D. K.; TORATI, L. S.; SANTOS, V. R. V. Piscicultura de ?gua doce: multiplicando conhecimento. 1? ed. Bras?lia: Embrapa. 440p. 2013. RODRIGUES, M. L.; LIMA, S. L.; MOURA, O. M.; AGOSTINHO, C. A.; SILVA, J. H. V.; CRUZ, G. R. B.; CAMPOS, V. M.; CASALI, A. P.; MENDES, R. R. B.; ALBUQUERQUE, A. G. Curva de crescimento em r?-touro na fase de recria. Archivos de Zootecnia. v.56, n.214 p.125-136, 2007. ROGERS-BENNETT, L.; ROGERS, D. W.; BENNETT, W.A.; EBERT, T.A.; Modeling red sea urchin (Strongylocentrotus franciscanus) growth using six growth functions. Fisheries Bulletin, v.101, p.614?626, 2003. ROSA, M. D.; SILVA, J. A.; SILVA, A. L.; Modelling growth in cultures of Oreochromis niloticus (L.) and Cyprinus carpio L. in Pernambuco, Brazil. Aquaculture Research, v.28, p.199-204, 1997. SABETIAN, M.; DELSHAD, S. T.; MOINI, S.; ISLAMI, H.R.; MOTALEBI, A. Identification of fatty acid content, amino acid profile and proximate composition in rainbow trout (Oncorhynchus mykiss). Journal of American Science. v.8, p.670-677, 2012. SALEM, M.; MANOR, M.; AUSSANASUWANNAKUL, A.; KENNEY, B.; WEBER, G.; YAO, J. Effect of sexual maturation on muscle gene expression of rainbow trout: RNA-Seq approach. Physiological Reports, v.1, n.5, 15p, 2013. SANTOS, V. B.; MARECO, E. A.; SILVA, M. D. P. Growth curves of Nile tilapia (Oreochromis niloticus) strains cultivated at different temperatures. Acta Scientiarum, Animal Science, Maring?, v.35, n.3, p.235-242, 2013. SANTOS, V.; FREITAS, R.; SILVA, F.; FREATO, T. Avalia??o de curvas de crescimento morfom?trico de linhagens de til?pia do nilo (Oreochromis niloticus). Ci?ncia e Agrotecnologia, Lavras, v.31, n.5, p.1486-1492, 2007. SAS. Institute Inc. SAS/ACCESS 9.4 interfaces to ADABAS: Reference. SAS Institute Inc., Cary, NC; 2013 SARMENTO, J. L. R.; REGAZZI, A. J.; SOUZA, W. H.; TORRES, R. A.; BREDA, F. C.; MENEZES, G. R. O. Analysis of the growth curve of Santa Ines sheep. Revista Brasileira de Zootecnia, v.35, p.435-442, 2006. SCHERR, C.; GAGLIARDI, A.; MINAME, M.; SANTOS, R. Fatty Acid and Cholesterol Concentrations in Usually Consumed Fish in Brazil. Arquivos Brasileiros de Cardiologia, v.104 n.2, p.152-158, 2014. Dispon?vel em: <https://dx.doi.org/10.5935/abc.20140176> Acesso em: 28 de jan. de 2018. SEBRAE. Aquicultura no Brasil. S?rie estudos mercadol?gicos. Servi?o brasileiro de apoio ?s micro e pequenas empresas. 2015. 40 SILLIMAN, R. P. 1969. Comparison between Gompertz and von Bertalanffy Curves for Expressing Growth in Weight of Fishes. Journal of the Fisheries Research Board of Canada, v.26 n.1, p.161-165, 1969. Dispon?vel em: <https://doi.org/10.1139/f69-017> Acesso em: 28 de janeiro de 2018. SILVA, T.; SANTOS, L.; SILVA, L.; MICHELATO, M.; FURUYA, V.; FURUYA, W. Length?weight relationship and prediction equations of body composition for growing finishing cage-farmed Nile tilapia. Revista Brasileira de Zootecnia, v.44, n.4, p.133-137, 2015. SHAH, M.A. Stochastic logistic model for fish growth, Open Journal of Statistics, v.4, p.11?18, 2014. Dispon?vel em: http://dx.doi.org/10.4236/ojs.2014.41002 Acesso em: 28 de jan. de 2018. SLOAT, M. R.; REEVES, G. H. Individual condition, standard metabolic rate, and rearing temperature influence steelhead and rainbow trout (Oncorhynchus mykiss) life histories. Canadian Journal of Fisheries and Aquatic Sciences, v.71, p.491?501, 2014. SOUSA, J.; JOS?, A. G.; MARLON S.; CARVALHO, P. G. S.; ROCHA, L. G.; CAMPECHE, D. F. B. Mathematical modeling applied to the growth of tilapia in net cages in the sub middle of the S?o Francisco river. Engenharia Agr?cola, v.34, n.5, p.1001-1011, 2014. Dispon?vel em: <https://dx.doi.org/10.1590/S0100-69162014000500019> Acesso em: 28 de jan. de 2018. TIAN, X.; LEUNG, P.S.; HOCHMAN, E. Shrimp growth functions and their economics implications. Aquaculture Engineering, v.12, p.81?96, 1993. TJ?RVE, K. M. C.; TJ?RVE, E. Shapes and functions of bird-growth models: how to characterize chick postnatal growth. Zoology, v.113, n.6, p.326-333, 2010. Dispon?vel em: <https://doi.org/10.1016/j.zool.2010.05.003> 28 de jan de 2018. TJ?RVE, K. M. C.; TJ?RVE, E. The use of Gompertz models in growth analyses, and new Gompertz-model approach: An addition to the Unified-Richards family. PLoS ONE v.12, n.6, 17p, 2017. Dispon?vel em: <https://doi.org/10.1371/journal.pone.0178691> Acesso em: 28 de jan. de 2018. WIDOWSSON, E. M. Chapter 1: Definitions of growth. In Growth in Animals: Studies in the Agricultural and Food Sciences By Lawrence T. L. J. 1 ed. 316p, 1980. YU, RUN; LEUNG, PING SUN. A Bayesian hierarchical model for modeling white shrimp (Litopenaeus vannamei) growth in a commercial shrimp farm, Aquaculture, v.306, n.1?4, p.205-210, 2010. YUN, B.; YU, X.; XUE, M.; LIU, Y.; WANG, J.; WU, X.; HAN F.; LIANG X. Effects of dietary protein levels on the long-term growth response and fitting growth models of gibel carp (Carassius auratus gibelio), Journal of Animal Nutrition, v.1, n.2, p.70-76, 2015.
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