Table 1 The table shows the alpha diversity index of water and soil of Samiti lake

Simpson Index

\(\frac{\sum_{\textrm{i}}{\textrm{n}}_{\textrm{i}}\left({\textrm{n}}_{\textrm{i}}-1\right)}{\textrm{N}\left(\textrm{N}-1\right)}\)

0.022

0.16

Reciprocal Simpson Index

\(\frac{1}{\left(\frac{\sum_{\textrm{i}}{\textrm{n}}_{\textrm{i}}^2}{{\textrm{N}}^2}\right)}\)

47

6.3

Shannon Index

\(\sum\limits_{\textrm{i}}\left(\frac{{\textrm{n}}_{\textrm{i}}}{\textrm{N}}\ {\log}_2\left(\frac{{\textrm{n}}_{\textrm{i}}}{\textrm{N}}\right)\right)\)  

4.2

3

Menhinick Index

\(\frac{\textrm{S}}{\sqrt{\sum_{\textrm{i}}{\textrm{n}}_{\textrm{i}}}}\)

0.41

0.054

Buzas and Gibson's Index

\(\frac{{\textrm{e}}^{-{\sum}_{\textrm{i}}\left(\frac{{\textrm{n}}_{\textrm{i}}}{\textrm{N}}-\ln \left(\frac{{\textrm{n}}_{\textrm{i}}}{\textrm{N}}\right)\right)}}{\textrm{S}}\)

0.76

0.8

Berger-Parker Dominance Index

\(\frac{{\textrm{n}}_{\textrm{max}}}{\textrm{N}}\)

0.077

0.3

Margalef Richness Index

\(\frac{\textrm{S}-1}{\ln \textrm{N}}\)

7.8

0.86