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| | '''Morisita's overlap index''', named after Masaaki Morisita, is a [[dispersion (statistics)|statistical measure of dispersion]] of individuals in a population. It is used to compare overlap among [[Sample (statistics)|samples]] (Morisita 1959). This formula is based on the assumption that increasing the size of the samples will increase the diversity because it will include different habitats (i.e. different faunas). |
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| | Formula: |
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| | : <math>C_D= \frac{2\sum_{i=1}^S x_i y_i }{(D_x + D_y) XY }</math> |
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| | : ''x''<sub>''i''</sub> is the number of times species ''i'' is represented in the total ''X'' from one sample. |
| | : ''y''<sub>''i''</sub> is the number of times species ''i'' is represented in the total ''Y'' from another sample. |
| | : ''D''<sub>''x''</sub> and ''D''<sub>''y''</sub> are the [[Simpson's index]] values for the ''x'' and ''y'' samples respectively. |
| | : ''S'' is the number of unique species |
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| | ''C''<sub>''D''</sub> = 0 if the two samples do not overlap in terms of species, and ''C''<sub>''D''</sub> = 1 if the species occur in the same proportions in both samples.{{citation needed|date=February 2012}} |
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| | Horn's modification of the index is (Horn 1966): |
| | :<math>C_H= \frac{ 2 \sum_{i=1}^S x_i y_i }{ \left( {\sum_{i=1}^S x_i^2 \over X^2} + {\sum_{i=1}^S y_i^2 \over Y^2} \right) X Y } \,.</math> |
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| | == References == |
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| | * Morisita, M. (1959). "Measuring of the dispersion and analysis of distribution patterns". ''Memoires of the Faculty of Science'', Kyushu University, Series E. Biology. 2: 215–235. |
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| | * Morisita, M. (1962). "''I''<sub>''δ''</sub>-Index, A Measure of Dispersion of Individuals". ''Researches on Population Ecology'', 4 (1), 1–7. |
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| | * Horn, H. S. (1966). Measurement of "Overlap" in comparative ecological studies. ''The American Naturalist" 100:419-424. {{jstor|2459242}} |
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| | * Linton, L. R.; Davies, Ronald W.; Wrona, F. J. (1981) "Resource Utilization Indices: An Assessment", ''Journal of Animal Ecology'', 50 (1), 283-292 {{jstor|4045}} |
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| | * Ricklefs, Robert E.; Lau, Michael (1980) "Bias and Dispersion of Overlap Indices: Results of Some Monte Carlo Simulations", ''Ecology'', 61 (5), 1019-1024 {{jstor|1936817}} |
| | |
| | * Garratt, Michael W.; Steinhorst, R. Kirk (1976). "Testing for significance of Morisita’s, Horn’s and related measures of overlap". '' American Midland Naturalist'' 96 (1), 245-251 {{jstor|2424587}} |
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| | == External links == |
| | * [http://web.archive.org/web/20100324130601/http://www.tnstate.edu/ganter/B412%20Ch%2015&16%20CommMetric.html Community Metrics] |
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| | {{DEFAULTSORT:Morisita's Overlap Index}} |
| | [[Category:Population ecology]] |
| | [[Category:Ecological metrics]] |
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| | {{statistics-stub}} |
Morisita's overlap index, named after Masaaki Morisita, is a statistical measure of dispersion of individuals in a population. It is used to compare overlap among samples (Morisita 1959). This formula is based on the assumption that increasing the size of the samples will increase the diversity because it will include different habitats (i.e. different faunas).
Formula:
- xi is the number of times species i is represented in the total X from one sample.
- yi is the number of times species i is represented in the total Y from another sample.
- Dx and Dy are the Simpson's index values for the x and y samples respectively.
- S is the number of unique species
CD = 0 if the two samples do not overlap in terms of species, and CD = 1 if the species occur in the same proportions in both samples.Potter or Ceramic Artist Truman Bedell from Rexton, has interests which include ceramics, best property developers in singapore developers in singapore and scrabble. Was especially enthused after visiting Alejandro de Humboldt National Park.
Horn's modification of the index is (Horn 1966):
References
- Morisita, M. (1959). "Measuring of the dispersion and analysis of distribution patterns". Memoires of the Faculty of Science, Kyushu University, Series E. Biology. 2: 215–235.
- Morisita, M. (1962). "Iδ-Index, A Measure of Dispersion of Individuals". Researches on Population Ecology, 4 (1), 1–7.
- Horn, H. S. (1966). Measurement of "Overlap" in comparative ecological studies. The American Naturalist" 100:419-424. Template:Jstor
- Linton, L. R.; Davies, Ronald W.; Wrona, F. J. (1981) "Resource Utilization Indices: An Assessment", Journal of Animal Ecology, 50 (1), 283-292 Template:Jstor
- Ricklefs, Robert E.; Lau, Michael (1980) "Bias and Dispersion of Overlap Indices: Results of Some Monte Carlo Simulations", Ecology, 61 (5), 1019-1024 Template:Jstor
- Garratt, Michael W.; Steinhorst, R. Kirk (1976). "Testing for significance of Morisita’s, Horn’s and related measures of overlap". American Midland Naturalist 96 (1), 245-251 Template:Jstor
External links
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