Stochastic Modeling of Biodiversity: f-diversity, self f-diversity and Marginal f-diversity

0351585 - ÚI 2011 RIV CZ eng C - Conference Paper (international conference)
Zvárová, Jana - Zvára, Karel
Stochastic Modeling of Biodiversity: f-diversity, self f-diversity and Marginal f-diversity.
Proceedings of the 6th international summer school on computational biology. Brno: Masaryk University, 2010 - (Hřebíček, J.; Holčík, J.), s. 108-119. ISBN 978-80-7204-698-0.
[International summer school on computational biology /6./. Lednice (CZ), 23.10.2010-25.10.2010]
R&D Projects: GA MŠMT(CZ) 1M06014
Institutional research plan: CEZ:AV0Z10300504
Keywords : biodiversity * modeling * f-entropy * f-diversity * self f-diversity * marginal f-diversity
Subject RIV: BB - Applied Statistics, Operational Research

The paper is devoted to stochastic modeling of biodiversities, that are presented as selected f-diversities frequently used in biology and medicine. The most often used in biology and medicine are f-diversities called Number Alles, Gini-Simpson diversity and Shannon diversity. We have introduced two new general concepts, named marginal f-diversity and self f-diversity. The statistical properties of sample estimates of the selected f-diversities are mentioned. Results of simulations of f-diversities, self f-diversities and marginal f-diversities for Number Alles, Gini-Simpson and Shannon type diversities on the example of three alleles with fixed probabilities of occurrence and several sample sizes used are presented.
Permanent Link: http://hdl.handle.net/11104/0191305