The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds

This study investigates the cost of increasing production diversity for a livestock producer who minimizes the cost of supplying nutrients to animals, a problem comparable to the “diet problem”. Although researchers have extensively studied the benefits of diversity, the explicit cost of diversity r...

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Autores principales: Komarek, Adam M., Robinson, Sherman, Mason-D'Croz, Daniel
Formato: Artículo preliminar
Lenguaje:Inglés
Publicado: International Food Policy Research Institute 2018
Materias:
Acceso en línea:https://hdl.handle.net/10568/145880
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author Komarek, Adam M.
Robinson, Sherman
Mason-D'Croz, Daniel
author_browse Komarek, Adam M.
Mason-D'Croz, Daniel
Robinson, Sherman
author_facet Komarek, Adam M.
Robinson, Sherman
Mason-D'Croz, Daniel
author_sort Komarek, Adam M.
collection Repository of Agricultural Research Outputs (CGSpace)
description This study investigates the cost of increasing production diversity for a livestock producer who minimizes the cost of supplying nutrients to animals, a problem comparable to the “diet problem”. Although researchers have extensively studied the benefits of diversity, the explicit cost of diversity remains understudied. Our approach combines a nonlinear programming model and a cross-entropy measure using an index for diversity proposed by Henri Theil that incorporates observed commodity mixes and a uniform prior based on information theory. The diversity index is comparable across countries. We provide an example from all 135 countries across the globe where feed rations for beef cattle contain cereal grains, considering prices with and without climate change. The marginal cost of an extra unit of diversity in the observed feed ration ranges across countries from $4 to $158 (average $25), compared to an average total production cost of $220 per ton of cereal grain. The marginal cost of diversity is lower in higher income countries than lower income countries. Changing the diversity index that we developed for different contexts, such as a count index for human dietary diversity, would mean researchers could apply our approach to the diet problem for humans.
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spelling CGSpace1458802025-11-06T07:26:03Z The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds Komarek, Adam M. Robinson, Sherman Mason-D'Croz, Daniel mathematical models livestock feeding entropy production costs livestock diet quality total costs diet diversification nutritional requirements This study investigates the cost of increasing production diversity for a livestock producer who minimizes the cost of supplying nutrients to animals, a problem comparable to the “diet problem”. Although researchers have extensively studied the benefits of diversity, the explicit cost of diversity remains understudied. Our approach combines a nonlinear programming model and a cross-entropy measure using an index for diversity proposed by Henri Theil that incorporates observed commodity mixes and a uniform prior based on information theory. The diversity index is comparable across countries. We provide an example from all 135 countries across the globe where feed rations for beef cattle contain cereal grains, considering prices with and without climate change. The marginal cost of an extra unit of diversity in the observed feed ration ranges across countries from $4 to $158 (average $25), compared to an average total production cost of $220 per ton of cereal grain. The marginal cost of diversity is lower in higher income countries than lower income countries. Changing the diversity index that we developed for different contexts, such as a count index for human dietary diversity, would mean researchers could apply our approach to the diet problem for humans. 2018-12-20 2024-06-21T09:05:16Z 2024-06-21T09:05:16Z Working Paper https://hdl.handle.net/10568/145880 en Open Access application/pdf International Food Policy Research Institute Komarek, Adam M.; Robinson, Sherman; and Mason-D'Croz, Daniel. 2018. The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds. IFPRI Discussion Paper 1780. Washington, DC: International Food Policy Research Institute (IFPRI). https://hdl.handle.net/10568/145880
spellingShingle mathematical models
livestock feeding
entropy
production costs
livestock
diet quality
total costs
diet
diversification
nutritional requirements
Komarek, Adam M.
Robinson, Sherman
Mason-D'Croz, Daniel
The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds
title The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds
title_full The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds
title_fullStr The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds
title_full_unstemmed The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds
title_short The diet problem, nutrient supply, and the cost of diversity applied to livestock feeds
title_sort diet problem nutrient supply and the cost of diversity applied to livestock feeds
topic mathematical models
livestock feeding
entropy
production costs
livestock
diet quality
total costs
diet
diversification
nutritional requirements
url https://hdl.handle.net/10568/145880
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