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Currently, great importance has been given to the study of external morphology, especially in fish, when it is used as a means of identifying hybrids. However, in fish morphometry, multicollinearity, which refers to redundant information, that is, overlapping covariates (distances between homologous points) is a problem generally present in morphological covariation patterns. In order to have an overview of the existing collinearity diagnostic measures together with critical values commonly used to evaluate existence of collinearity among the covariates, this research considers the study of multicollinearity in the truss protocol on 92 specimens of Colossoma macropomum and Piaractus orinoquensis. The diagnostic measures used were those included in the R mctest package; classified into general and individual measures. Multicollinearity (redundant measurements in the "truss protocol") was detected in morphological covariation patterns between C. macropomum and P. orinoquensis specimens. Only distances associated with morphological covariation patterns that make a difference in the head area, in the area of the bases of the fins of the abdomen and in the anterior part of the fish, did not constitute redundant morphological information in the morphological covariation patterns of this species. The use of VIF is recommended as a measure to identify redundant information associated with the external morphology of C. macropomum and P. orinoquensis.

Morphometry, truss protocol, fishes, redundant information, VIF.

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RIVAS, D. V., PINO, M. M., PÉREZ, Y. P., RIVAS, S. V., CAMPAÑA, Z. G., BAZAN, E. D., CAMACHO, W. R., CASANA, Y. V., & CANAYO, B. D. S. (2020). REDUNDANCY IN MORPHOLOGICAL COVARIATION PATTERNS BETWEEN Colossoma macropomum AND Piaractus orinoquensis. UTTAR PRADESH JOURNAL OF ZOOLOGY, 41(14), 37-46. Retrieved from
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Pardo R, Scott S, Vila I. Análisis de formas en especies chilenas del género Trichomycterus (Osteichthyes: Siluriformes) utilizando morfometría geométrica. Gayana. 2005;69(1): 180-3.

Miranda-Marín MI, González-Acosta AF. Inferencias Filogenéticas del Género Eugerres Jordan y Evermann, 1927, mediante la Aplicación de Morfometría Geométrica. En: Del Moral Flores, L. F.; Martínez, J. A.; López, J. F. & Tello, J. L. (Eds.). Investigación Ictiológica en México. Ciudad de México, Universidad Nacional Autónoma de México, 2012;97- 106.

Mateo JF, Delgado N, López H. Caracterización morfométrica del híbrido yaque pintado (Pseudoplatystoma fasciatum x Leiarius marmoratus) y sus progenitores (Siluriformes: Pimelodidae). Rev. Fac. Cienc. Vet. U. C. V. 2008;49(1):47-60.

Salas D, Véliz D, Scott S. Diferenciación morfológica en especies del género Cheirodon (Ostariophysi: Characidae) mediante morfometría tradicional y geométrica. Gayana. 2012;76(2):142-52.

Bookstein FL, Chernoff R, Elder J, Humpries G, Smith Y, Strauss R. Morphometrics in evolutionary biology. The Academy of Natural Sciences of Philadelphia, Michigan; 1985.

Trapani J. Geometric morphometric analysis of body – form variability in Cichlasoma minckleyi, the Cuatro Cienagas cichlid. Environmental Biology of Fishes. 2003;68: 357–369.

Adams DC, Rohlf FJ, Slice DE. Geometric morphometrics: Ten years of progress following the “Revolution”. Italian Journal of Zoology. 2004;71:5-16.

Shipunov AB, Bateman RM. Geometric morphometrics as a tool for understanding Dactylorhiza (Orchidaceae) diversity in European Russia. Biological Journal of the Linnean Society. 2005;85(1):1-12.

Belsley DA, Kuh E, Welsch RE. Diagnostics: Identifying Influential data and sources of collinearity. New York, John Wiley & Sons; 1980.

Greene WH. Econometric analysis. 5th edition. New Jersey, Prentic-Hall; 2002.

Imdadullah M, Aslam M. Mctest: multicollinearity diagnostic measures. R package version 1.1; 2016. Available:https://CRAN.Rproject. org/package=mctest

Strauss R, Bookstein F. The truss: Body form reconstructions in morphometrics. Syst. Zool. 1982;31(2):113–135.

Cooley WA, Lohnes PR. Multivariate data analysis. JohnWiley & Sons, Australia; 1971.

Asteriou D, Hall SG. Applied econometrics: A modern approach using eviews and microfit. New York, Palgrave Macmillan; 2007.

Stock JH, Watson MW. Introduction to Econometrics. 3rd edition. Boston, Pearson Addison-Wesley; 2010.

Farrar DE, Glauber RR. Multicollinearity in regression analysis: The problem revisted. The Review of Economics and Statistics. 1967;49: 92–107.

Chatterjee S, Hadi AS. Regression analysis by example. 4th edition. New York, John Wiley & Sons; 2006.

Chatterjee S, Price B. Regression analysis by examples. New York, John Wiley & Sons; 1977.

Dillon WR, Goldstein M. Multivariate analysis: methods and applications. New York, John Wiley & Sons; 1984.

Theil H. Principles of econometrics. New York, John Wiley & Sons; 1971.

Kovács P, Petres T, Tóth L. A new measure of multicollinearity in linear regression models. International Statistical Review. 2005;73(3): 405–412.

Klein LR. An introduction to econometrics. New Jersey, Prentic-Hall; 1962.

Kutner MH, Nachtsheim CJ, Neter J. Applied linear regression models. 4th edition. New York, McGraw Hill Irwin; 2004.

Kendall MG. A course in multivariate nnalysis. London, Griffin; 1957.

Silvey SD. Multicollinearity and imprecise estimation. Journal of the Royal Statistical Society, Series B (Methodological). 1969; 31(3):539–552.

Curto JD, Pinto JC. The corrected VIF (CVIF). Journal of Applied Statistics. 2011;38(7):1499–1507.

Gujarati D, Porter, D. Econometría. 5ed. México, McGraw-Hill/Interamericana Editores; 2010.

Mandell J. Use of the singular value decomposition in regression analysis. The American Statistician. 1982;36(1):15–24.

Glantz S, Slinker B. Prmer of applied regression and analysis of variance. 3 ed. New York, McGraw-Hill Education; 2001.

Belsley DA. A guide to using the collinearity diagnostics. Computer Science in Economics and Management. 1991;4:33–50.

Ramírez G, Vasquez M, Camardiel A, Pérez B, Purificación G. Detección gráfica de la multicolinealidad mediante el h-plot de la inversa de la matriz de correlaciones. Revista Colombiana de Estadística. 2005;28(2):207-219.

Pineda H, Restrepo L, Ángel M. Comparación morfométrica entre machos y hembras de Cachama Negra (Colossoma macropomum, Cuvier 1818) mantenidos en estanque. Revista Colombiana de Ciencias Pecuarias. 2004;17: 24-29.

Villegas D, Milla E, Castillo O, Durant K. Análisis multivariado en la comparación morfométrica del híbrido Colossoma macropomum X Piaractus brachypomus) y sus parentales. Revista INDES. 2013;1(1):29-36.

Porras-Rivera G, Rodríguez-Pulido JA. Morphometric comparison and characterization of the hybrid (Pseudoplatystoma metaense x Leiarius marmoratus) and its parental lines (Siluriformes: Pimelodidae). Int. J. Morphol. 2019;37(4):1409-1415.

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