Comparative Analysis of Diversity and Similarity Indices with Special Relevance to Vegetations around Sewage Drains
Indices summarizing community structure are used to
evaluate fundamental community ecology, species interaction,
biogeographical factors, and environmental stress. Some of these
indices are insensitive to gross community changes induced by
contaminants of pollution. Diversity indices and similarity indices are
reviewed considering their ecological application, both theoretical
and practical. For some useful indices, empirical equations are given
to calculate the expected maximum value of the indices to which the
observed values can be related at any combination of sample sizes at
the experimental sites. This paper examines the effects of sample size
and diversity on the expected values of diversity indices and
similarity indices, using various formulae. It has been shown that all
indices are strongly affected by sample size and diversity. In some
indices, this influence is greater than the others and an attempt has
been made to deal with these influences.
[1] Mc Arthur, R.H., 1965, "Patterns of species diversity," Biological
Review, 40: 510-533.
[2] Lewis, J.K., 1970, "Production in grassland ecosystem U.S./I.B.P.
Grassland Ecosystem: A supplement Edited by R.L. Dix and R.C.
Beidleman," Colorado State University, U.S.A.
[3] Shannon, C.E. and W. Weaner, 1964, "The Mathematical Theory of
communication" The Uni. of Illinois press, Urbana, IL.
[4] Menhinick, E.F., 1964, "A comparison of some species diversity indices
applied to samples of field insects," Ecology, 45: 858-862.
[5] Mc Intosh, R.P., 1967, "The continum concept of vegetation," Bot.
Rev., 33: 130-187.
[6] Margalef, R., 1968, Perspective in Ecological Theory," Uni. of Chicago
Press. pp.112.
[7] Simpson, E.H., 1949, "Measurement of diversity," Nature, 163-188.
[8] Lydy M.J., C.G. Crawford, and J.W. Frey, 2000, "A comparison of
selected diversity, similarity, and biotic indices for detecting changes in
benthic-invertebrate community structure and stream quality," Arch.
Environ. Contam. Toxicol, 39 (4) 469-479.
[9] H.G. Washington, 1984, "Diversity, biotic and similarity indices: A
review with special relevance to aquatic ecosystems," Water Research,
vol.18, pp 653-694.
[10] R.D. Routledge, 1979, "Diversity indices: Which ones are admissible?"
J. Theoretical Biology, vol. 76, pp. 503-515.
[11] Sari Pitkanen, 1998, "The use of diversity indices to assess the diversity
of vegetation in managed boreal forests," Forest Ecology and
Management, vol.112, pp. 121-137.
[12] Henk Wolda, 1981, "Similarity Indices, Sample Size and Diversity,"
OecoIogia, vol.50: 296-302.
[13] Pielou, E.C., 1969, "An Introduction to Mathematical Ecology," John
Wiley and Sons, New York.
[14] Sorensen, T., 1948, "A method of establishing groups of equal
amplitude in plant society based similarity of species content," K.
Danske. Videns. Selsk. 5: 1-34.
[1] Mc Arthur, R.H., 1965, "Patterns of species diversity," Biological
Review, 40: 510-533.
[2] Lewis, J.K., 1970, "Production in grassland ecosystem U.S./I.B.P.
Grassland Ecosystem: A supplement Edited by R.L. Dix and R.C.
Beidleman," Colorado State University, U.S.A.
[3] Shannon, C.E. and W. Weaner, 1964, "The Mathematical Theory of
communication" The Uni. of Illinois press, Urbana, IL.
[4] Menhinick, E.F., 1964, "A comparison of some species diversity indices
applied to samples of field insects," Ecology, 45: 858-862.
[5] Mc Intosh, R.P., 1967, "The continum concept of vegetation," Bot.
Rev., 33: 130-187.
[6] Margalef, R., 1968, Perspective in Ecological Theory," Uni. of Chicago
Press. pp.112.
[7] Simpson, E.H., 1949, "Measurement of diversity," Nature, 163-188.
[8] Lydy M.J., C.G. Crawford, and J.W. Frey, 2000, "A comparison of
selected diversity, similarity, and biotic indices for detecting changes in
benthic-invertebrate community structure and stream quality," Arch.
Environ. Contam. Toxicol, 39 (4) 469-479.
[9] H.G. Washington, 1984, "Diversity, biotic and similarity indices: A
review with special relevance to aquatic ecosystems," Water Research,
vol.18, pp 653-694.
[10] R.D. Routledge, 1979, "Diversity indices: Which ones are admissible?"
J. Theoretical Biology, vol. 76, pp. 503-515.
[11] Sari Pitkanen, 1998, "The use of diversity indices to assess the diversity
of vegetation in managed boreal forests," Forest Ecology and
Management, vol.112, pp. 121-137.
[12] Henk Wolda, 1981, "Similarity Indices, Sample Size and Diversity,"
OecoIogia, vol.50: 296-302.
[13] Pielou, E.C., 1969, "An Introduction to Mathematical Ecology," John
Wiley and Sons, New York.
[14] Sorensen, T., 1948, "A method of establishing groups of equal
amplitude in plant society based similarity of species content," K.
Danske. Videns. Selsk. 5: 1-34.
@article{"International Journal of Earth, Energy and Environmental Sciences:57151", author = "Ekta Singh", title = "Comparative Analysis of Diversity and Similarity Indices with Special Relevance to Vegetations around Sewage Drains", abstract = "Indices summarizing community structure are used to
evaluate fundamental community ecology, species interaction,
biogeographical factors, and environmental stress. Some of these
indices are insensitive to gross community changes induced by
contaminants of pollution. Diversity indices and similarity indices are
reviewed considering their ecological application, both theoretical
and practical. For some useful indices, empirical equations are given
to calculate the expected maximum value of the indices to which the
observed values can be related at any combination of sample sizes at
the experimental sites. This paper examines the effects of sample size
and diversity on the expected values of diversity indices and
similarity indices, using various formulae. It has been shown that all
indices are strongly affected by sample size and diversity. In some
indices, this influence is greater than the others and an attempt has
been made to deal with these influences.", keywords = "Biogeographical factors, Diversity Indices, Ecology
and Similarity Indices", volume = "6", number = "9", pages = "609-3", }