Nonlinear Models to Describe the Testicular Size Growth Curve of Mangalarga Marchador Stallions.

This study aimed to describe the testicular growth curve in Mangalarga Marchador stallions fitting nonlinear models to data of total scrotal width (TSW) and testicular volume (TV). A cross-sectional study was conducted with 120 stallions, aging from 1.75 to 21.93 years. The parameters of nonlinear models (Brody, Gompertz, Hill, Logistic I and II, Meloun I and II, Michaelis-Menten, Mitscherlich, and von-Bertalanffy) were estimated by Gauss-Newton iterative process. Goodness of fit was evaluated by the corrected Akaike (AICc) and Bayesian (BIC) information criteria, adjusted R2, error sum of square, mean absolute deviation and average prediction error. Based on the goodness of fit, the Logistic I model fitted better for TSW while Logistic II fitted better for TV growth curve. The inflection point (IP) of TSW growth was estimated in 5.23 cm at 0.76 years; the IP of TV growth was estimated in 139.36 cm3 at 2.57 years. The TV growth curve reached a plateau later than TSW growth curve, mainly because testicular height maintains growth for a longer period. In addition, there were moderate and positive correlations between whiter height and TSW and TV (r = 0.51 and r = 0.53, respectively). Findings suggest that TV is more associated with sexual maturity than sexual precocity. In addition, the moderate and positive correlations between whiter height and TSW and TV indicate that testicular traits can be included in selection programs of Mangalarga Marchador stallions with the same relevance as the morphometric traits.

[1]  A. Carmo,et al.  Use of nonlinear models for describing scrotal circumference growth in Guzerat bulls raised under grazing conditions. , 2013, Theriogenology.

[2]  H. Oldenhof,et al.  Testicular volumetry and prediction of daily sperm output in stallions by orchidometry and two- and three-dimensional sonography. , 2017, Theriogenology.

[3]  E. S. E. Hafez,et al.  Reproduction in farm animals , 1974 .

[4]  J. Roser,et al.  A comparison of the effects of equine luteinizing hormone (eLH), equine growth hormone (eGH) and human recombinant insulin-like growth factor (hrIGF-I) on steroid production in cultured equine Leydig cells during sexual maturation. , 2005, Animal reproduction science.

[5]  Â. Lana,et al.  EVOLUÇÃO DAS MEDIDAS MORFOMÉTRICAS DA RAÇA MANGALARGA MARCHADOR , 2016 .

[6]  S. Mcdonnell,et al.  Color Doppler ultrasound evaluation of testicular blood flow in stallions. , 2004, Theriogenology.

[7]  P. Maitan,et al.  Testosterone serum profile, semen characteristics and testicular biometry of Mangalarga Marchador stallions in a tropical environment , 2017, Reproduction in domestic animals = Zuchthygiene.

[8]  A. Hill,et al.  The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves , 1910 .

[9]  F. J. Richards A Flexible Growth Function for Empirical Use , 1959 .

[10]  S. Guimarães,et al.  Use of nonlinear mixed models for describing testicular volume growth curve in Nellore bulls. , 2019, Theriogenology.

[11]  P. Maitan,et al.  Can scrotal circumference-based selection discard bulls with good productive and reproductive potential? , 2018, PloS one.

[12]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[13]  D. Thompson,et al.  Testicular measurements and reproductive characteristics in stallions. , 1979, Journal of reproduction and fertility. Supplement.

[14]  H. Fitzhugh,et al.  Analysis of growth curves and strategies for altering their shape. , 1976, Journal of animal science.

[15]  Benjamin Gompertz,et al.  XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. F. R. S. &c , 1825, Philosophical Transactions of the Royal Society of London.

[16]  R. P. Amann,et al.  Testicular growth, hormone concentrations, seminal characteristics and sexual behaviour in stallions. , 1990, Journal of reproduction and fertility.

[17]  R. Lôbo,et al.  Genetic trends in the expected progeny difference of the asymptotic weight of Nelore females , 2006 .

[18]  F. Q. Almeida,et al.  Avaliação morfométrica de eqüinos da raça Mangalarga Marchador: índices de conformação e proporções corporais , 2004 .

[19]  Michael E. Davis,et al.  Comparison of non-linear models for describing the growth of scrotal circumference in Awassi male lambs , 2004 .

[20]  C. Love,et al.  Evaluation of measures taken by ultrasonography and caliper to estimate testicular volume and predict daily sperm output in the stallion. , 1991, Journal of reproduction and fertility. Supplement.

[21]  M. Maurin,et al.  REVIEW ARTICLE doi: 10.1111/j.1472-8206.2008.00633.x The Hill equation: a review of its capabilities in pharmacological modelling , 2008 .

[22]  L. Bertalanffy Quantitative Laws in Metabolism and Growth , 1957 .

[23]  H. Bozdogan Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions , 1987 .

[24]  H. Akaike A new look at the statistical model identification , 1974 .

[25]  Tohru Kobayashi,et al.  Morphological Studies on Testicular Development in the Horse , 1998 .

[26]  C. Love,et al.  How to Use Testicular Measurements for First- Season Subfertility Insurance Considerations in Thoroughbred Stallions , 2008 .

[27]  L. G. Albuquerque,et al.  Comparison of different nonlinear functions to describe Nelore cattle growth. , 2009, Journal of animal science.

[28]  D. Notter,et al.  Breed group differences in testicular growth patterns in spring-born ram lambs. , 1985, Journal of animal science.

[29]  C. Love,et al.  Use of testicular volume to predict daily sperm output in the stallion , 1990 .

[30]  Ciências Veterinárias,et al.  Variação sazonal do volume testicular, da produção e qualidade do sémen e do comportamento sexual de cavalos Lusitanos Seasonal variation of testicular size, semen production and sexual behaviour of Lusitano stallions , 2007 .

[31]  L. Walford,et al.  Bioenergetics and Growth , 1947 .

[32]  F. Silva,et al.  Traditional and alternative nonlinear models for estimating the growth of Morada Nova sheep , 2013 .

[33]  D. Thompson,et al.  Effect of seasonal changes in Leydig cell number on the volume of smooth endoplasmic reticulum in Leydig cells and intratesticular testosterone content in stallions. , 1987, Journal of reproduction and fertility.