David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 51 (2) (2003)
A desirable property of a diversity index is strict concavity. This implies that the pooled diversity of a given community sample is greater than or equal to but not less than the weighted mean of the diversity values of the constituting plots. For a strict concave diversity index, such as species richness S, Shannon''s entropy H or Simpson''s index 1-D, the pooled diversity of a given community sample can be partitioned into two non-negative, additive components: average within-plot diversity and between-plot diversity. As a result, species diversity can be summarized at various scales measuring all diversity components in the same units. Conversely, violation of strict concavity would imply the non-interpretable result of a negative diversity among community plots. In this paper, I apply this additive partition model generally adopted for traditional diversity measures to Aczél and Daróczy''s generalized entropy of type . In this way, a parametric measure of -diversity is derived as the ratio between the pooled sample diversity and the average within-plot diversity that represents the parametric analogue of Whittaker''s -diversity for data on species relative abundances.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Miriam Solomon (2006). Norms of Epistemic Diversity. Episteme 3 (1-2):23-36.
Julie I. Siciliano (1996). The Relationship of Board Member Diversity to Organizational Performance. Journal of Business Ethics 15 (12):1313 - 1320.
Charles Hampden-Turner & Ginger Chih (2011). Dilemmas Of Diversity: A New Paradigm of Integrating Diversity. World Futures 66 (3):192-218.
Charles Hampden-Turner & Ginger Chih (2010). Dilemmas of Diversity: A New Paradigm of Integrating Diversity. World Futures 66 (3 & 4):192 – 218.
C. Ricotta & G. C. Avena (2002). On the Information-Theoretical Meaning of Hill's Parametric Evenness. Acta Biotheoretica 50 (1).
Carlo Ricotta (2007). A Semantic Taxonomy for Diversity Measures. Acta Biotheoretica 55 (1).
János Podani (2006). With a Machete Through the Jungle: Some Thoughts on Community Diversity. Acta Biotheoretica 54 (2).
Julio A. Camargo (2008). Revisiting the Relation Between Species Diversity and Information Theory. Acta Biotheoretica 56 (4).
C. Ricotta & G. C. Avena (2003). An Information-Theoretical Measure of Taxonomic Diversity. Acta Biotheoretica 51 (1).
Added to index2009-01-28
Total downloads2 ( #366,304 of 1,101,880 )
Recent downloads (6 months)1 ( #306,556 of 1,101,880 )
How can I increase my downloads?