&lt;b&gt;Comparing non-linear mathematical models to describe growth of different animals

Teleken, Jhony Tiago; Galvão, Alessandro Cazonatto; Robazza, Weber da Silva

doi:10.4025/actascianimsci.v39i1.31366

Cited by 58 publications

(48 citation statements)

References 18 publications

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“…Nonlinear models have been widely applied to assess the growth and development of several species. These models allow predicting animal growth and maturity, aiding in the management decision-making process, which helps to maximize animal production, considering the interpretation of the models' parameters (Freitas, 2005;Carneiro et al, 2014;Teleken et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Morphometric characteristics of the Mangalarga Marchador horse breed determined by nonlinear models

Souza

Fernandes

Cunha

et al. 2019

Pesq. agropec. bras.

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The objective of this work was to evaluate the development of the morphometric characteristics of Mangalarga Marchador horses through nonlinear models. The transversal method was used to collect data on height at the withers (HW), body length (BL), and thoracic (TP) and cannon (CP) perimeters from 200 horses (75 males and 125 non-pregnant females), aged between 6 and 153 months. The parameters of the Brody, Gompertz, logistic, and von Bertalanffy nonlinear models were estimated using the R software. Models were compared and selected using the coefficient of determination, the residual standard deviation, and the corrected Akaike information criterion. For adult females, HW, BL, TP, and CP ranged between 146.45-148.34, 148.59-151.64, 179.07-182.88, and 18.25-18.76 cm, respectively. For males, HW, BL, and CP ranged between 148.55-151.80, 150.77-154.88, and 18.95-19.41 cm, respectively. The logistic model best expresses growth in HW for males and females, as well as in BL and CP for males, whereas the Brody model is the best predictor for HW, BL, TP, and CP for females. The increase in the values of the morphometric measurements is more rapid and homogeneous between the ages of 6 and 24 months, stabilizing at 60 months in both sexes.

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Section: Introductionmentioning

confidence: 99%

Morphometric characteristics of the Mangalarga Marchador horse breed determined by nonlinear models

Souza

Fernandes

Cunha

et al. 2019

Pesq. agropec. bras.

View full text Add to dashboard Cite

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“…According to Teleken et al (2017), von Bertalanffy's model was the most suitable, among others, for the description of the growth of New Zealand rabbits. Jacob et al (2015) also state that this model described well the growth of rabbits of the Soviet Chinchilla and White Giant breeds, however, their estimates overestimated the asymptotic parameter, and did not give a direct interpretation for parameter b.…”

Section: Resultsmentioning

confidence: 99%

“…Curves of animal mass growth over time are shaped in S, which is also known as sigmoid or sigmoidal curves (von Bertalanffy, 1957). Several authors have reaffirmed that the body growth of most animal species can be described by a sigmoid curve and, therefore, fit by nonlinear models which are widely used for a large number of regression applications (Freitas, 2005;Carneiro et al, 2014;Teleken et al, 2017;Rodrigues et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Growth curves of meat-producing mammals by von Bertalanffy’s model

Fernandes

Pereira

et al. 2019

Pesq. agropec. bras.

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The objective of this work was to evaluate how the parameterization and the application of different allometric values affect the obtention of the most adequate fit of von Bertalanffy’s model, in the description of the growth curve of meat-producing mammals (bovine, pigs, rabbits, and sheep). Among the nonlinear models, von Bertalanffy’s has been very often applied in several areas, with different parameterizations. This model has been commonly used with an allometric value of m = 2/3; however, for mammals, it is believed that this value can be m = 3/4. The analyzed data referring to the mass of meat-producing mammals according to their age were obtained from research institutions and from the literature. The results showed that von Bertalanffy’s model, with the allometric value of m = 3/4 and the used parameterization, provided better adjustments to quality evaluators. Besides, the model softened the overestimation of parameter a, giving a direct interpretation of parameter b, with the lowest values for curvature measurements, mainly for the parametric ones, and provided more reliable adjustments. Von Bertalanffy’s model can be used in the description of the growth curves of meat-producing mammals.

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“…In non-selected lines (Aggrey et al, 2003;Gürcan et al, 2017), lower inflection points were reported for IP T of the Richards model (16.38 to 17.08 days), while IP W was 69.74 g of the Gompertz model. Teleken et al (2017) observed that for most datasets studied of birds and mammals, including brown and white lines of Japanese quail, the males reached mature weight before the females. In the current study, line effect was clear in this parameter, as IP T values were higher in the selected than control line.…”

Section: Growth Curve Parameters (Fixed)mentioning

confidence: 97%

Modelling of growth alteration in Japanese quail after a selection experiment for body weight at 4 weeks of age

2018

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The current study investigated the influence of selection for body weight (BW) on growth curve parameters in two lines of Japanese quail through a mixed model approach. Live BWs of 1400 Japanese quail were recorded at 3-day intervals from hatching to 42 days of age. Birds were distributed equally across lines (selected and control) and sexes (male and female). The asymptotic weight parameter (β0) values were always higher in Gompertz than Richards models in both lines. The values of β0 were higher in the selected than control lines and in females than males across models. Differences were found in the inflection point for age and weight across lines and sexes. Values of the growth rate parameter (β2) ranged from 0.06 to 0.10 in both models, favouring males over females in both lines. Lower weights at the inflection point of both models were observed in the control line. Determination coefficient (R2) of both models in different genetic groups and sexes was similar. Mean square error (MSE) values of the Gompertz model were lower for females in selected v. control lines. In contrast, MSE values of the Richards model were lower for selected males v. control males. According to the criteria of choice (highest R2 and lowest MSE, Akaike information criterion and Bayesian information criterion), the Richards model was considered the best fitting model for the growth data of males, while the Gompertz model was the best for growth data of female quails in both lines.

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<b>Comparing non-linear mathematical models to describe growth of different animals

Cited by 58 publications

References 18 publications

Morphometric characteristics of the Mangalarga Marchador horse breed determined by nonlinear models

Morphometric characteristics of the Mangalarga Marchador horse breed determined by nonlinear models

Growth curves of meat-producing mammals by von Bertalanffy’s model

Modelling of growth alteration in Japanese quail after a selection experiment for body weight at 4 weeks of age

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