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Shiro TSUYUZAKI
Plant community ecology / Environmental conservation

Mount Usu / Sarobetsu post-mined peatland
From left: Crater basin in 1986 and 2006. Cottongrass / Daylily

(Update on Oct. 19, 2005. Revised at Feb 5, 2006)

Diverstiy index

Type of index

Community diversity

(Shmida & Wilson 1985)

Type Definition Index Scale
α-diversity the species richness of samples representing communities H', C 102-104 m2
β-diversity The amount of biotic change among units. The differentiation of units on the α-diversity scale Similarity index
γ-diversity The diversity of landscapes Same with α-diversity 106-108 m2

+ Genetic diversity, that refers to variation in heritable characteristics of a species. This diversity has three levels:

genetic variation in a single individual
genetic differences among individuals in a population
genetic differences among populations

Genetic diversity is related to minimum viable population size.

α-diversity
Type Meaning Index
Type 0 Using number of species only Number of species (species richness)
Type 1 Using number of species and total number of individuals Gleason, Margalef, Menhinick
Type 2 Considering domonance with type-1 diversity Whittaker, Shannon, Simpson, MacArthur, MacIntosh, Hurlbert, Bulla

S, species richness
Fisher's α

S = αloge(qn/α)
n: number of individuals per unit area.
q: area, or number of plots.

Gleason = S/logN, or S/log10A (A: unit area)
Margalef = (S - 1)/lnN
Menhinick = logS/logN, and S/√N

Simpson = 1/(Σ(ni/N))

Parker = 1 - Σpi2
Pielou = 1 - Σ{ni(ni - 1)}/N(N - 1)

MacArthur = -Σ(ni/N)•log2(ni/N)

Evenness

Ec = S/(logp1 - logps)
Ec' = S/4√(Σ(logp1 - logpi)2/S)
J' = H'/H'max = H'/logS

References
  • Shmida A & Wilson V. 1985. Biological determinants of species diversity. Journal of Biogeography 12: 1-20
  • Tsuyuzaki, S. 1991. Species turnover and diversity during early stages of vegetation recovery on the volcano Usu, northern Japan. Journal of Vegetation Science 2: 301-306

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