Results of the Biodiversity Calculator of the Simpson and Shannon-Wiener Indexes

Dataset Totals
Total Number of Organisms:	32	Total Number of Species:	8
Average population size:	4	Decimal Accuracy:	4
Total Number of Regions:	1	Total Number of Region Sets:	1
Alpha Biodiversity [α]
Simpson Index $(∑(ni(ni-1)/(N(N-1))))$	0.1613	Simpson Index Approximation $(∑((n/N))2)$	0.1875
Dominance Index $(D = 1 - Simpson)$	0.8387	Dominance Index Approximation $(D = 1 - Simpson)$	0.8125
Reciprocal Simpson Index $(1 / Simpson)$	6.2	Alternate Reciprocal Simpson Index $(1 / Simpson)$	5.333
Shannon Index $log$	2.647	Berger-Parker Dominance Index $S/N^.5$	0.2812
Shannon Index $ln$	1.835	Inverted Berger-Parker Dominance Index $S/N^.5$	3.556
Shannon Index $%$	^-0.7969	Margalef Richness Index $S/N^.5$	2.02
Menhinick Index $S/N^.5$	1.414	Rényi Entropy/Hill Numbers (r=0,1,2,∞) $e^H/S$	8, 6.269, 5.333, ≈∞
Buzas and Gibson's Index $e^H/S$	0.7832	Gini Coeffificient $(2sum(ini)/n*sum(ni))-(N+1)/N$	0.3828
Equitability Index $S/N^.5$	0.8825	ln() of Hill Numbers (0,1,2,∞):	2.079, 1.836, 1.674, ≈^-∞
Beta Biodiversity [β] Comparing two sample areas
Absolute beta Value ((S₀-c)-(S₁-c)...):	7	Whittaker's Index (S/alpha):	1
Sørensen's similarity index:	1	Alternate Whittaker's Index (S/alpha-1):	0
Sørensen's similarity index (%):	100%	Jaccard Index:	^-1
Routledge beta-R Index:	2.667	Jaccard Index (%):	^-100%
Mountford Index:	^-0.3333	Number of Common Species:	8
Mountford Index (%):	^-33.33%	Bray Curtis dissimilarity	0
Gamma Biodiversity [γ] Comparing many sample areas
Absolute gamma (S₀+S₁...-c):	0
By the definitions used in this calculator, Alpha indices are for a single sample of a single region. This is the most typical way to study and measure biodiversity. These indices are calculated with all data provided to the calculator as a single sample, if you are unsure which indices to use, start with Alpha values. Beta diversity indices compare two sample regions for "similarity" and other correlations of biodiversity between two different areas/regions. For example, studies of mammal populations in 2.5 x 10⁵ hectares of the Rocky Mountains compared to mammal populations in 2.5 x 10⁵ hectares of the Alps. This is less common and requires careful, consistent data collection to be useful. Gamma diversity indices calculator for large or global areas, where many samples are being compared, and are the rarest to use in published studies and articles.