1. nsojournals.onlinelibrary.wiley.com

    Entropy and diversity. Lou Jost, Lou Jost. Baños, Tungurahua, Ecuador ( [email protected]). Search for more papers by this author. Lou Jost, ... Conversion of these to effective number of species is the key to a unified and intuitive interpretation of diversity. Effective numbers of species derived from standard diversity indices share a ...
    Author:Lou JostPublished:18 May 2006
  2. This book brings new mathematical rigour to the ongoing vigorous debate on how to quantify biological diversity. The question "what is diversity?" has surprising mathematical depth, and breadth too: this book involves parts of mathematics ranging from information theory, functional equations and probability theory to category theory, geometric measure theory and number theory. It applies the ...
    Author:Tom LeinsterPublished:2021
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  4. called the beta diversity in biology but is actually an entropy. Like the alpha entropy, it can be converted to the true beta diversity by Eq. 3. The same tranformation also converts gamma entropy to true gamma diversity. The relation between the Shannon alpha, beta, and gamma entropy follows directly from information the-ory: H a H b /H g
  5. the "conditional entropy", Ha, of the set of commu-nities. Because Shannon entropy is a concave function, Ha is always less than or equal to the gamma entropy HY, the entropy of the pooled communities (Shannon 1948, Lande 1996). Though Ha is often called the "alpha diversity" in biology, it is of course really an entropy. It
  6. Leinster provides us with the tools to clearly assess what we are losing, so that we may focus better on what we can save.' Benjamin Allen, The Quarterly Review of Biology 'The book is a welcome addition to the theory of biodiversity in that it covers the topics of entropy and diversity in a mathematically rigorous yet fairly accessible way ...
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    Author:Tom Leinster
  7. cambridge.org

    'The book is a welcome addition to the theory of biodiversity in that it covers the topics of entropy and diversity in a mathematically rigorous yet fairly accessible way … Recommended.' M. Bona Source: Choice Magazine
  8. Leinster provides us with the tools to clearly assess what we are losing, so that we may focus better on what we can save.' Benjamin Allen, The Quarterly Review of Biology 'The book is a welcome addition to the theory of biodiversity in that it covers the topics of entropy and diversity in a mathematically rigorous yet fairly accessible way ...
    Author:Tom Leinster
  9. books.google.com

    The global biodiversity crisis is one of humanity's most urgent problems, but even quantifying biological diversity is a difficult mathematical and conceptual challenge. This book brings new mathematical rigour to the ongoing debate. It was born of research in category theory, is given strength by information theory, and is fed by the ancient field of functional equations.
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