The Relation between Evenness and Diversity
Contrary to common belief, decomposition of diversity into independent richness and evenness components is mathematically impossible. However, richness can be decomposed into independent diversity and evenness or inequality components. The evenness or inequality component derived in this way is conn...
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| Format: | Article |
| Language: | English |
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MDPI AG
2010-02-01
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| Series: | Diversity |
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| Online Access: | http://www.mdpi.com/1424-2818/2/2/207/ |
| _version_ | 1798025956865081344 |
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| author | Lou Jost |
| author_facet | Lou Jost |
| author_sort | Lou Jost |
| collection | DOAJ |
| description | Contrary to common belief, decomposition of diversity into independent richness and evenness components is mathematically impossible. However, richness can be decomposed into independent diversity and evenness or inequality components. The evenness or inequality component derived in this way is connected to most of the common measures of evenness and inequality in ecology and economics. This perspective justifies the derivation of measures of relative evenness, which give the amount of evenness relative to the maximum and minimum possible for a given richness. Pielou’s [1] evenness measure J is shown to be such a measure. |
| first_indexed | 2024-04-11T18:27:16Z |
| format | Article |
| id | doaj.art-291f4baf3eda41fda709a334e0e4314d |
| institution | Directory Open Access Journal |
| issn | 1424-2818 |
| language | English |
| last_indexed | 2024-04-11T18:27:16Z |
| publishDate | 2010-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Diversity |
| spelling | doaj.art-291f4baf3eda41fda709a334e0e4314d2022-12-22T04:09:34ZengMDPI AGDiversity1424-28182010-02-012220723210.3390/d2020207The Relation between Evenness and DiversityLou JostContrary to common belief, decomposition of diversity into independent richness and evenness components is mathematically impossible. However, richness can be decomposed into independent diversity and evenness or inequality components. The evenness or inequality component derived in this way is connected to most of the common measures of evenness and inequality in ecology and economics. This perspective justifies the derivation of measures of relative evenness, which give the amount of evenness relative to the maximum and minimum possible for a given richness. Pielou’s [1] evenness measure J is shown to be such a measure.http://www.mdpi.com/1424-2818/2/2/207/evennessinequalitydiversitygeneralized entropy inequality indexPielou’s evenness indexnumbers equivalentHill numbers |
| spellingShingle | Lou Jost The Relation between Evenness and Diversity Diversity evenness inequality diversity generalized entropy inequality index Pielou’s evenness index numbers equivalent Hill numbers |
| title | The Relation between Evenness and Diversity |
| title_full | The Relation between Evenness and Diversity |
| title_fullStr | The Relation between Evenness and Diversity |
| title_full_unstemmed | The Relation between Evenness and Diversity |
| title_short | The Relation between Evenness and Diversity |
| title_sort | relation between evenness and diversity |
| topic | evenness inequality diversity generalized entropy inequality index Pielou’s evenness index numbers equivalent Hill numbers |
| url | http://www.mdpi.com/1424-2818/2/2/207/ |
| work_keys_str_mv | AT loujost therelationbetweenevennessanddiversity AT loujost relationbetweenevennessanddiversity |