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The generalized Simpsons entropy is a measure of biodiversity
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The generalized Simpson’s entropy is a measure of biodiversity ~ Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversity profiles, can be expressed as an effective number of species to simplify their interpretation, and come with estimators that allow one to apply them to real-world data. We introduce the generalized Simpson’s entropy as a measure of diversity and investigate its properties.
The generalized Simpson’s entropy is a measure of biodiversity ~ 1.3 The generalized Simpson’s entropy is a measure of diversity It is easy to see that generalized Simpson’s entropy always satisfies Axioms 1, 2 and 5, but, as we have discussed, it does not satisfy Axiom 4. However, we will show that it satisfies a weak version of it and that it satisfies Axiom 3 for a limited, but wide range of orders r.
The Generalized Simpson's Entropy is a Measure of Biodiversity ~ Generalized Simpson’s entropy is a measure of diversity respecting the classical axioms when r < S and has a simple formula to transform it into an effective number of species. It faces sev-
The generalized Simpson’s entropy is a measure of biodiversity ~ The Generalized Simpson’s Entropy is a Measure of Biodiversity Michael Grabchak, Eric Marcon, Gabriel Lang, Zhiyi Zhang To cite this version: Michael Grabchak, Eric Marcon, Gabriel Lang, Zhiyi Zhang. The Generalized Simpson’s Entropy is a Measure of Biodiversity. PLoS ONE, Public Library of Science, 2017, 12 (3), pp.e0173305.
The generalized Simpson’s entropy is a measure of biodiversity ~ Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): http://doi/10.1371/journal. (external link)
The generalized Simpson's entropy is a measure of biodiversity ~ We introduce the generalized Simpson's entropy as a measure of diversity and investigate its properties. We show that it has many useful features and can be used as a measure of biodiversity. Moreover, unlike most commonly used diversity indices, it has unbiased estimators, which allow for sound estimation of the diversity of poorly sampled .
The generalized Simpson's entropy is a measure of ~ We introduce the generalized Simpson's entropy as a measure of diversity and investigate its properties. We show that it has many useful features and can be used as a measure of biodiversity. Moreover, unlike most commonly used diversity indices, it has unbiased estimators, which allow for sound estimation of the diversity of poorly sampled .
Diversity and Evenness: A Unifying Notation and Its ~ Three commonly used measures of diversity, Simpson's index, Shannon's entropy, and the total number of species, are related to Renyi's definition of a generalized entropy. A unified concept of diversity is presented, according to which there is a continuum of possible diversity measures. In a sense which becomes apparent, these measures provide .
Generalized entropy indices to measure a and b diversities ~ Keywords: Diversity indices, Ecology, Generalized entropy. 1. INTRODUCTION Biodiversity is a central issue in ecology and biological conservation and has attracted the attention of ecologists and conservationists especially over the last two decades [1, 2]. The number (richness) of species has been largely used as a measure of biological .
Entropy / Free Full-Text / Generalized Entropies, Variance ~ The generalized cumulative residual entropy is a recently defined dispersion measure. In this paper, we obtain some further results for such a measure, in relation to the generalized cumulative residual entropy and the variance of random lifetimes. We show that it has an intimate connection with the non-homogeneous Poisson process. We also get new expressions, bounds and stochastic comparisons .
Is shannon entropy H a measure? - ResearchGate ~ Shannon entropy is not a measure itself in the measure theoretic sense, rather it is used to measure probabilistic uncertainties. Indeed, Shannon entropy is known as Shannon Diversity Index too.
Phylogenetic Diversity Measures and Their Decomposition: A ~ Generalized Entropies. The species richness of an assemblage is a simple count of the number of species present. It is the most intuitive and frequently used measure of biodiversity, and is a key metric in conservation biology (MacArthur and Wilson 1967; Hubbell 2001; Magurran 2004).However, it does not incorporate any information about the abundances of species, and it is a very hard number .
Biodiversity and Entropy / The Emergent Fool ~ At heart, entropy is a measure of unpredictability. The more entropy in a system, the less able you will be to accurately predict its future behavior. The connection to diversity is not so much of a stretch: in a highly diverse community, you will be less able to predict what kinds of life you will come across next. Diversity creates .
Energies / Free Full-Text / Gini and Entropy-Based Spread ~ In Figure 17, we present the non-fossil fuel generalized entropy indexes for particular cases: the mean log deviation (α = 0) and the Theil index (α = 1). Notice the difference in behavior between generalized entropy indexes vs. Gini index. Intuitively, the generalized entropy indexes seem to better capture the percentiles behavior.
Measures of Biological Diversity: Overview and Unified ~ The Sharma-Mittal family of diversity measures is represented in a Cartesian quadrant with values of the order parameter r and of the degree parameter t lying on the x– and y–axis, respectively. Each point in the quadrant corresponds to a specific measure. A line corresponds to a distinct one-parameter generalized diversity function.
Generalised information and entropy measures in physics ~ than the Shannon entropy and maximising those subject to suitable constraints. We discuss some of the most important examples of information measures that are useful for the description of complex systems. Examples treated are the Re´nyi entropy, Tsallis entropy, Abe entropy, Kaniadakis entropy, Sharma–Mittal entropies, and a few more.
Entropy Measure - an overview / ScienceDirect Topics ~ 4.5.2 Entropy-based Thresholding. Entropy measures of thresholding are based on the concept of entropy. The entropy statistic is high if a variable is well distributed over the available range, and low if it is well ordered and narrowly distributed. Specifically, entropy is a measure of disorder and is zero for a perfectly ordered system.
Stochastic Dominance, Entropy and Biodiversity Management ~ Downloadable! In this paper we develop a model of population dynamics using the Shannon entropy index, a measure of diversity that allows for global and specific population shocks. We model the effects of increasing the number of parcels on biodiversity, varying the number of spatially diverse parcels to capture risk diversification. We discuss the concepts of stochastic dominance as a means .
6.5 Irreversibility, Entropy Changes, and ``Lost Work'' ~ 6. 5 Irreversibility, Entropy Changes, and ``Lost Work'' . Consider a system in contact with a heat reservoir during a reversible process. If there is heat absorbed by the reservoir at temperature , the change in entropy of the reservoir is .In general, reversible processes are accompanied by heat exchanges that occur at different temperatures.
Optimizing sampling effort and information content of ~ Sampling effort is basically determined by the number and size of plots. The more and the larger the plots are, the higher is the sampling effort in terms of time and costs. As a case study, we sampled alpine grassland communities. We used Shannon’s information entropy as a measure of information content captured in diversity metrics.
On generalized entropy measures and pathways : A. M ~ Generalizations, including Mathai's generalized entropy are introduced and some of the properties are examined. Situations are examined where Mathai's entropy leads to pathway models, exponential and power law behavior and related differential equations. Connection of Mathai's entropy to Kerridge's measure of "inaccuracy" is also explored.
Analyses of the Microbial Diversity across the Human ~ Analysis of human body microbial diversity is fundamental to understanding community structure, biology and ecology. The National Institutes of Health Human Microbiome Project (HMP) has provided an unprecedented opportunity to examine microbial diversity within and across body habitats and individuals through pyrosequencing-based profiling of 16 S rRNA gene sequences (16 S) from habits of the .
Entropy (information theory) - Wikipedia ~ Entropy is one of several ways to measure diversity. Specifically, Shannon entropy is the logarithm of 1 D, the true diversity index with parameter equal to 1. Limitations of entropy. There are a number of entropy-related concepts that mathematically quantify information content in some way:
Diversity index - Wikipedia ~ A diversity index (also called phylogenetic indices or phylogenetic metrics) is a quantitative measure that reflects how many different types (such as species) there are in a dataset (a community) and that can simultaneously take into account the phylogenetic relations among the individuals distributed among those types, such as richness, divergence or evenness.
The use of entropy to measure structural diversity ~ The use of entropy to measure structural diversity L. Masisi 1, V. Nelwamondo 2 and T. Marwala 1 1School of Electrical & Information Engineering Witwatersrand University, P/Bag 3, Wits, 2050, South Africa 2Graduate School of Arts and Sciences, Harvard University, GSAS Mail Center Child 412, 26 Everett Street Cambridge, Massachusetts, 02138 USA Abstract — In this paper entropy based methods are