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一种特殊随机环境下鸟类繁衍的渐近最优策略

Asymptotically Optimal Strategy of Bird Reproducing in a Special Random Environment
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摘要 以随机环境分枝过程模拟鸟类繁衍过程中种群大小的演变。在一种两状态独立同分布的随机环境下,建立了鸟类以不同产蛋数的分布对抗随机环境的优化决策数学模型,并给出了当初始鸟数增加时,鸟类繁衍的渐近最优策略。这个结论可以对自然界中每一种鸟类的产蛋数似乎都对应一个刻画其频率的概率分布的现象给出一种数学上的解释。 In this paper the evolution of bird populations is simulated as a branching process in random environments. Under some i.i.d. environments with two states, an optimal strategy mathematic model is set up, in which birds opposite the random environments by the distribution of clutch-sizes, and as the number of initial birds increasing the asymptotically optimal strategy is given. This conclusion provides a mathematic explanation to the phenomenon that each bird species has a characteristic frequency distribution of clutch-sizes in nature.
出处 《太原理工大学学报》 CAS 2004年第6期749-752,754,共5页 Journal of Taiyuan University of Technology
关键词 随机环境下的分枝过程 灭绝概率 渐近最优策略 branching process in random environments (BPRE) extinction probability asymptotically optimal strategy
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参考文献7

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