内容:
(MCM 1985A)
Choose a fish or mammal for which appropriate data are available to model it accurately. Model the animal's natural interactions with its environment by expressing population levels of different groups in terms of the significant parameters of the environment. Then adjust the model to account for harvesting in a form consistent with the actual method by which the animal is harvested. Include any outside constraints imposed by food or space limitations that are supported by the data. Consider the value of the various quantities involved, the number harvested, and the population size itself, in order to devise a numerical quantity that represents the overall value of the harvest. Find a harvesting policy in terms of population size and time that optimizes the value of the harvest over a long period of time. Check that the policy optimizes that value over a realistic range of environmental conditions.
动物种群数量(美国竞赛1985年A题)
选择一个具有足够数据精确建立模型的鱼或哺乳动物。选择洗染环境中的重要参数表达不同种群的数量级, 对动物与自然界的相互作用建立模型。然后调整模型,考虑以一种与实际操作方式一致的方式捕猎动物。在数据的支撑下, 同时考虑外界食物和空间的限制。为了导出表示捕获总量的数值,考虑模型中的不同数量,捕获数量和种群数量本身。以种群大小和时间等量给出一个捕猎的策略,使得长远地看捕获总量达到最优。在一个真实的环境下,检验你的最优捕猎策略。