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A dynamic nonlinear optimization study of Mountain Pima subsistence technology
Authors:Joseph E. Laferrière
Affiliation:(1) Herbarium, University of Arizona, 113 Shantz Bldg., 85721 Tucson, Arizona
Abstract:A dynamic nonlinear optimization analysis of subsistence patterns of the Mountain Pima of Chihuahua, Mexico, included requirements for adequate amounts of calories, calcium, vitamin A, vitamin C, and balanced protein. Two methods of incorporating nonenergy nutritional needs into a time minimization program were compared. The first was a constraint model with sharp boundaries between adequacy and fatality. The second involved multiplying the total work time by a series of nutrient indexing factors. Each factor was calculated as a function of the ratio between the recommended and actual rates of intake for all months and nutrients considered. Oxalate composition of some resources and seasonal variation in resource availability were taken into account. Two sets of data were analyzed, one for a year of adequate rainfall, the other for a year of severe drought. The predictions of the indexing model agreed more closely with observed intake patterns than did the predictions of the constraint model.
Keywords:optimization  nutrition  subsistence  nonlinear programming  Mountain Pima
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