Table 1 Hyperspectral indices used to estimate plant diversity.

From: Assessment of plant species diversity based on hyperspectral indices at a fine scale

Spectral index

Formula or definition

DVI

R782 − R675

NDVI

(R782 − R675)/(R782 + R675)

RVI

R675/R782

SAVI

((R782-R675)/(R782 + R675 + 0.2)) (1.2)

TSAVI

0.5(R782 − 0.5R675−0.2)/(0.5R782 + 0.5R675−0.1)

MSAVI

\(2\ast {R}_{800}+1-{(2\ast {R}_{800}+1)}^{2}-8\ast {({R}_{800}-{R}_{670})}^{\frac{1}{2}}\)

PVI

\(({R}_{800}-0.2{R}_{670}-0.6)\)/1.019

NDVI705

(R750 − R705)/(R750 + R705)

mNDVI705

(R750 − R705)/(R750 + R705 − 2 R445)

mSR705

(R750 − R445)/(R705 + R445)

REP

R700 + 40[(R670 + R780)/2 − R700]/(R740 − R700)

VOG1

R740/R720

VOG2

(R734 − R747)/(R715 + R726)

VOG3

(R734 − R747)/(R715 + R720)

PRI

(R531 − R570)/(R 531 + R570)

OSAVI

(1 + 0.16)(R800 − R670)/(R800 + R670 + 0.16)

DVI

R810 − R680

GREEN-NDVI

(R750 − R550)/(R750 + R550)

FD730

The first derivative value at 730 nm

Db

The highest first derivative value between 490–530 nm

λb

The band at Db

Dy

The highest first derivative value between 550–580 nm

λy

The band at Dy

Dr

The highest first derivative value between 680–780 nm

Λr

The band at Dy

Rg

The highest reflectance value between 510–580 nm

Λg

The band at Rg

Ro

The smallest reflectance value between 640–700 nm

Λo

The band at Ro

SDb

The sum of first derivative values between 490–530 nm

SDy

The sum of first derivative values between 550–580 nm

SDr

The sum of first derivative values between 680–780 nm

Rg/Ro

Rg/Ro

(Rg-Ro)/(Rg + Ro)

(Rg − Ro)/(Rg + Ro)

SDr/SDb

SDr/SDb

SDr/SDy

SDr/SDy

(SDr-SDb)/(SDr + SDb)

(SDr-SDb)/(SDr + SDb)

Hspec*

\(-\sum _{{\rm{i}}=1}^{{\rm{n}}}{{\rm{p}}}_{{\rm{i}}}{{\rm{lnp}}}_{{\rm{i}}}\)

Espec*

\(1-\sum _{{\rm{i}}=1}^{{\rm{n}}}{{{\rm{p}}}_{{\rm{i}}}}^{2}\)

VarH**

\(\frac{\sqrt{\frac{1}{{\rm{n}}}{\sum }_{{\rm{i}}=1}^{{\rm{n}}}{(R-\bar{R})}^{2}}}{\bar{R}}\)

  1. Note *pi: the ratio of R value at ith band to the sum R value; **\(\bar{R}\): the mean value of R.