Table 5 Landsat 5 thematic mapper candidate covariates

Non-spectral transforms

B

\(b_i\); i = 1, 2, 3, 4, 5, 7

Mean value of Landsat 5 thematic mapper \(\hbox {band}_i\) measurement

6

*

Bs

\(bs_i\) ...

SD of \(b_i\)

6

*

Bv

\(bv_i\) ...

Variance of \(b_i\)

6

*

Bc

\(bc_i\) ...

Coefficent of Variation [CV]: \(bc_i\) = sd(\(b_i\))/\(b_i\) = \(bs_i\)/\(b_i\)

6

*

S

\(s_i\); i = 1, 2, 3, 4, 5, 7

Square of \(b_i\) = \(b_i\) x \(b_i\)

6

*

P

\(p_{ij}\); i = 1, 2, 3, 4, 5 and j = i + 1, ..., 5, 7

Non-spectral cross products of the means \(b_i\) and \(b_j\)

15

*

R.re

\(r.re_{ij}\); i = 1, 2, 3, 4, 5 and j = i + 1, ... , 5, 7

Non-spectral ratios of means \(b_i\) and \(b_j\) = \(b_i\)/\(b_j\)

15

*

D

\(d_{12}\); i = 1, 2, 3, 4, 5 and j = i + 1 , ... , 5, 7

Non-spectral ratio of the difference-to-the-sum of the mean value \(b_i\), \(b_j\): \(d_{ij}\)= (\(b_i\)-\(b_j\))/(\(b_i\)+\(b_j\)). See text

15

*

Spectral transforms

NB

\(nb_i\); i = 1, 2, 3, 4, 5, 7

Mean value of the min-max normalized \(\hbox {band}_i\) measurements (see text)

6

*

NBs

\(nbs_1\) ...

SD of \(nb_i\)

6

*

NBv

\(nbv_i\) ...

Variance of \(nb_i\)

6

*

NBc

\(nbc_i\) ...

Coefficent of Variation [CV]: \(nbc_i\)= sd(\(nb_i\))/\(nb_i\) = \(nbs_i\)/\(nb_i\)

6

*

R

\(r_{ij}\); i = 1, 2, 3, 4, 5 and j = i + 1, ... , 5, 7

\(r_{ij}\) = mean ratio of the paired pixel magnitudes

15

*

Rs

\(rs_{ij}\) ...

SD of \(r_{ij}\)

15

*

Rv

\(rv_{ij}\) ...

variance of \(r_{ij}\)

15

*

Rc

\(rc_{ij}\) ...

Coefficient of Variance [CV] of \(r_{ij}\)

15

*

DS

\(ds_{ij}\); i = 1, 2, 3, 4, 5 and j = i + 1, ... , 5, 7

\(ds_{ij}\) = mean ratio of the difference-to–sum of the paired pixel magnitudes

15

*

DSs

\(ds_{ij}s\) ...

\(ds_{ij}s\) = SD of \(ds_{ij}\)

15

*

DSv

\(ds_{ij}v\) ...

\(ds_{ij}s\) = variance of \(ds_{ij}\)

15

*

DSc

\(ds_{ij}c\) ...

\(ds_{ij}s\) = coefficient of variation [CV] of \(ds_{ij}\)

15

*

CH

\(ch_{ijk}\); i = 1, 2, 3, 4; j = i + 1, ... , 5; k = j + 1

Cylindrical transform of composite \(hue_{ijk}\) - see text

20

*

CHs

\(ch_{ijk}s\) ...

\(ch_{ijk}s\) = SD of \(ch_{ijk}\)

20

*

CHv

\(ch_{ijk}v\) ...

\(ch_{ijk}v\) = variance of \(ch_{ijk}\)

20

*

CHc

\(ch_{ijk}c\) ...

\(ch_{ijk}c\) = coefficient of variation [CV] of \(ch_{ij}\)

20

*

RH

\(rh_{ijk}\); i = 1, 2, 3, 4; j = i + 1, ... ,5; k = j + 1

Rectangular transform transform of composite \(hue_{ijk}\) (see text)

20

*

RHs

\(rh_{ijk}s\) ...

\(rh_{ijk}s\) = SD of \(rh_{ijk}\)

20

*

RHv

rh ijkv ...

\(rh_{ijk}v\) = variance of \(rh_{ijk}\)

20

*

RHc

\(rh_{ijk}c\) ...

\(rh_{ijk}c\) = coefficient of variation [CV] of \(rh_{ij}\)

20

*

Total variables:

379

75

304