A new approach for fitting growth models in random environment

Nonlinear growth models are widely employed in Animal sciences for describing growth of various species of animals. Nonlinear estimation procedures are generally employed for estimation of parameters. However, one limitation of these models is that they are applicable only when the data are availab...

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Main Authors: PRAJNESHU PRAJNESHU, HIMADRI GHOSH
Format: Article
Language:English
Published: Indian Council of Agricultural Research 2018-05-01
Series:Indian Journal of Animal Sciences
Subjects:
Online Access:https://epubs.icar.org.in/index.php/IJAnS/article/view/79873
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author PRAJNESHU PRAJNESHU
HIMADRI GHOSH
author_facet PRAJNESHU PRAJNESHU
HIMADRI GHOSH
author_sort PRAJNESHU PRAJNESHU
collection DOAJ
description Nonlinear growth models are widely employed in Animal sciences for describing growth of various species of animals. Nonlinear estimation procedures are generally employed for estimation of parameters. However, one limitation of these models is that they are applicable only when the data are available at equidistant epochs. Another limitation is that the fluctuations in the system cannot be satisfactorily explained simply by adding an error term to the deterministic formulation. The purpose of this article is to bring to the notice of Animal scientists the new approach of Stochastic differential equation modelling, which is capable of incorporating both the above aspects. The methodology is discussed by considering Gompertz growth model. Relevant SAS codes for fitting the model are developed. Finally, the methodology is illustrated on secondary monthly pig weight data, collected at the piggery farm of Indian Veterinary Research Institute, Izatnagar, Bareilly, India.
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spelling doaj.art-927becf475a142b5b454ac00f39697762023-02-08T11:00:37ZengIndian Council of Agricultural ResearchIndian Journal of Animal Sciences0367-83182394-33272018-05-01871210.56093/ijans.v87i12.79873A new approach for fitting growth models in random environmentPRAJNESHU PRAJNESHU0HIMADRI GHOSH1ICAR-Indian Agricultural Statistics Research Institute, New Delhi 110 012 IndiaICAR-Indian Agricultural Statistics Research Institute, New Delhi 110 012 India Nonlinear growth models are widely employed in Animal sciences for describing growth of various species of animals. Nonlinear estimation procedures are generally employed for estimation of parameters. However, one limitation of these models is that they are applicable only when the data are available at equidistant epochs. Another limitation is that the fluctuations in the system cannot be satisfactorily explained simply by adding an error term to the deterministic formulation. The purpose of this article is to bring to the notice of Animal scientists the new approach of Stochastic differential equation modelling, which is capable of incorporating both the above aspects. The methodology is discussed by considering Gompertz growth model. Relevant SAS codes for fitting the model are developed. Finally, the methodology is illustrated on secondary monthly pig weight data, collected at the piggery farm of Indian Veterinary Research Institute, Izatnagar, Bareilly, India. https://epubs.icar.org.in/index.php/IJAnS/article/view/79873Gompertz growth modelPig weight dataSAS software packageStochastic differential equation model
spellingShingle PRAJNESHU PRAJNESHU
HIMADRI GHOSH
A new approach for fitting growth models in random environment
Indian Journal of Animal Sciences
Gompertz growth model
Pig weight data
SAS software package
Stochastic differential equation model
title A new approach for fitting growth models in random environment
title_full A new approach for fitting growth models in random environment
title_fullStr A new approach for fitting growth models in random environment
title_full_unstemmed A new approach for fitting growth models in random environment
title_short A new approach for fitting growth models in random environment
title_sort new approach for fitting growth models in random environment
topic Gompertz growth model
Pig weight data
SAS software package
Stochastic differential equation model
url https://epubs.icar.org.in/index.php/IJAnS/article/view/79873
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AT himadrighosh anewapproachforfittinggrowthmodelsinrandomenvironment
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AT himadrighosh newapproachforfittinggrowthmodelsinrandomenvironment