A maximum entropy theorem with applications to the measurement of biodiversity
A maximum entropy theorem with applications to the measurement of biodiversity
复制标题
最大熵定理及其在生物多样性测量中的应用
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
T. Leinster
中科院分区：
文献类型：
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作者：
T. Leinster
这是一篇初步的文章，阐述并证明了一个新的最大熵定理。我们认为的熵可以用来衡量生物多样性。在这种情况下，问题是：对于给定的物种集合，哪种频率分布(S)使多样性最大化？这个定理提供了答案。最令人惊讶的是，尽管我们处理的不只是一个单一的熵，而是一个只有一个参数的熵家族，但有一个单一的分布同时最大化了所有这些熵。
This is a preliminary article stating and proving a new maximum entropy theorem. The entropies that we consider can be used as measures of biodiversity. In that context, the question is: for a given collection of species, which frequency distribution(s) maximize the diversity? The theorem provides the answer. The chief surprise is that although we are dealing with not just a single entropy, but a one-parameter family of entropies, there is a single distribution maximizing all of them simultaneously.