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|Title: ||Modelling individual animal growth in random environments|
|Authors: ||Filipe, Patrícia A.|
Braumann, Carlos A.
|Keywords: ||growth models|
stochastic differential equations
|Issue Date: ||9-Jul-2008|
|Abstract: ||We have considered, as general models for the evolution
of animal size in a random environment, stochastic differential
equations of the form dY(t)=b( A-Y(t))dt+sdW(t), where Y(t)=g(X(t)), X(t) is the size of an animal at time t, g is a strictly increasing function, A=g(a) where
a is the asymptotic size, s measures the effect of random environmental fluctuations on growth, and W(t) is the Wiener
process. We have considered the stochastic Bertalanffy-Richards
model (g(x)=x^c with c>0) and the stochastic Gompertz model (g(x)=ln x). We have studied the problems of parameter estimation for one path and also considered the extension to
several paths. We also used bootstrap methods. Results and methods are illustrated using bovine growth data.|
|Appears in Collections:||MAT - Comunicações - Em Congressos Científicos Internacionais|
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