Case T J
Acta Biotheor. 1979;28(1):54-69. doi: 10.1007/BF00054680.
Within many animal taxa there is a trend for the species of larger body size to eat food of lower caloric value. For example, most large extant lizards are herbivorous. Reasonable arguments based on energetic considerations are often invoked to explain this trend, yet, while these factors set limits to feasible body size, they do not in themselves mathematically produce optimum body sizes. A simple optimization model is developed here which considers food search, capture, and eating rates and the metabolic cost of these activities for animals of different sizes. The optimization criterion is defined as the net calorie gain a consumer accrues per day. This model does produce an optimum intermediate body size which increases with food quality--not the reverse. This discrepancy is accounted for, however, because the model also predicts that body size should be even more sensitive to increases in food abundance. In nature, many poor quality foods are also relatively abundant foods, hence the consumers eating them may maximize their daily energetic profit by evolving a relatively large body size. Optimum consumer body size also decreases with increases in consumer metabolic rate and "prey" speed.
在许多动物分类群中,存在一种趋势,即体型较大的物种会食用热量值较低的食物。例如,现存的大多数大型蜥蜴都是食草动物。基于能量考虑的合理观点常被用来解释这一趋势,然而,虽然这些因素为可行的体型设定了限制,但它们本身并不能从数学上得出最佳体型。这里开发了一个简单的优化模型,该模型考虑了不同体型动物的食物搜索、捕获和进食速率以及这些活动的代谢成本。优化标准被定义为消费者每天获得的净热量增加量。这个模型确实得出了一个最佳的中间体型,它会随着食物质量的提高而增加——而不是相反。然而,这种差异是可以解释的,因为该模型还预测体型对食物丰度增加应该更加敏感。在自然界中,许多低质量的食物也是相对丰富的食物,因此食用它们的消费者可能通过进化出相对较大的体型来最大化其每日的能量收益。最佳消费者体型也会随着消费者代谢率和“猎物”速度的增加而减小。