Analysing prehistoric diets by linear programming
Analysing prehistoric diets by linear programming
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DOI：
10.1006/jasc.1996.0155
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发表时间：
1997-08-01
影响因子：
2.8
通讯作者：
Little, EA
中科院分区：
文献类型：
--
作者：
Little, JDC;Little, EA
对骨骼的同位素测量，加上对史前人可能吃过的食物的相应测量，有望提供有关他们饮食的有价值的信息。将骨骼测量值与几种同位素中的每一种的食物测量值相关联的线性混合方程用于限制饮食中可能存在的每种食物的百分比。尽管很少有可能确定唯一的饮食，但总是可以对可能成为饮食一部分的各种食物的百分比设定界限。测量的同位素越多，边界就越紧。通过线性规划的方式确定的界限。我们建立了一个基本的线性模型，并用简单的例子说明了该技术。然后，使用Spielmann，Schoeninger和摩尔（1990）的数据和隐式混合方程，一个扩展的案例展示了线性规划如何回答考古学问题。(C)出版社：Academic Press Limited。
Isotopic measurements of skeletal bone, coupled with corresponding measurements of foods that might have been eaten by prehistoric individuals, offer the promise of providing valuable information about their diets. Linear mixing equations relating bone measurements to food measurements for each of several isotopes serve to constrain the percentages of each food that could have been in the diet. Even though it is seldom possible to determine the diet uniquely, it is always possible to set bounds on the percentages of Various foods that could have been part of the diet. The more isotopes that have been measured, the tighter will be the bounds. The bounds are determined by means of linear programming. We set up a basic linear model and illustrate the technique with simple examples. Then, using data and implicit mixing equations from Spielmann, Schoeninger & Moore (1990), an extended case demonstrates how linear programming can answer archaeological questions. (C) 1997 Academic Press Limited.