Mathematical bounds on Shannon entropy given the abundance of the \(i\)th most abundant taxon

DOI10.1007/s00285-023-01997-3zbMath1530.92306MaRDI QIDQ6070684

Maike L. Morrison, Noah A. Rosenberg

Publication date: 23 November 2023

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

majorizationShannon entropyspecies richnessbiodiversitydiversity indices

Mathematics Subject Classification ID

Problems related to evolution (92D15) Ecology (92D40) Measures of information, entropy (94A17)

Cites Work

• Unnamed Item
• A Mathematical Theory of Communication
• Bounding measures of genetic similarity and diversity using majorization
• Enhancing the mathematical properties of new haplotype homozygosity statistics for the detection of selective sweeps
• Bounds for Shannon and Zipf-Mandelbrot entropies
• Information theoretic inequalities
• Bounds on general entropy measures
• Diversity as a Concept and its Measurement
• Entropy and Diversity
• Inequalities: theory of majorization and its applications

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