关于海洋动物自然寿命分布的数学模型和几个具体分布的讨论  

ON MATHEMATICAL MODEL OF THE DISTRIBUTION OF NATURAL LONGEVITY OF MARINE ANIMAL AND DISCUSSION OF SOME DISTRIBUTION PATTERNS

作　　者：赵维谦[1] 

机构地区：[1]山东海洋学院数学系

出　　处：《山东海洋学院学报》1984年第4期79-86,共8页

摘　　要：探讨海洋动物自然寿命的分布，在研究海洋资源增殖、发展渔业生产、保护海洋水产资源、防止环境污染和有利于生态平衡都有重要意义。本文考虑到海洋动物的自然环境，相对说来比较稳定，引进海洋动物瞬时死亡效率的概念，更灵敏地反映了动物的死亡速度。通过简单的运算，推导出海洋动物的寿命分布为指数族分布，进而指出寿命分布与瞬时死亡效率的关系，讨论了几个具体的分布及其应用。The concept of instantaneous mortality is introduced into the study of marine animal in order to express the mortality more sensitively, after being examined the relatively stability of the environmental factors in the sea. Longevity distribution of marine animal taking exponential family of distribution is deduced from the probability theory, indicating the relation between the longevity distribution and instantaneous mortality. Some distribution patterns and their application is discussed.

关 键 词：海洋动物 自然寿命分布 数学模型 瞬时死亡效率 

分 类 号：O212.2[理学—概率论与数理统计] Q141[理学—数学]