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Title: Multiphasic individual growth models in random environments
Authors: Filipe, Patrícia A.
Braumann, Carlos A.
Roquete, Carlos J.
Keywords: Multhiphasic growth models
Stochastic differential equations
Cattle weight
Issue Date: 20-Jan-2011
Abstract: The evolution of the growth of an individual in a random environment can be described through stochastic differential equations of the form dY(t) = b(a-Y(t))dt+sdW(t), where Y(t)=h(X(t)), X(t) is the size of the individual at age t, h is a strictly increasing continuously differentiable function, a=h(A), where A is the average asymptotic size, and b represents the rate of approach to maturity. The parameter s measures the intensity of the effect of random fluctuations on growth and W(t) is the standard Wiener process. We have previously applied this monophasic model, in which there is only one functional form describing the average dynamics of the complete growth curve, and studied the estimation issues. Here, we present the generalization of the above stochastic model to the multiphasic case, in which we consider that the growth coefficient b assumes different values for different phases of the animal life. For simplicity, we consider two phases with growth coefficients b1 and b2. Results and methods are illustrated using bovine growth data.
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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