Table 1 Alternative models, the number and values of their parameters, and the goodness of fit statistics (coefficient of determination, R ² , and the Akaike information criterion, AICc) for each model

(i)

(1) Z = {Z| NDVI = "Surf"_NDVI}

0.056

942.7

1

0.599

Individual

(2) Z_i = {Z|NDVI = ("Surf"_NDVI)_i}

0.245

897.2

8

0.64; 0.62; 0.46; 0.62; 0.67; 0.51; 0.63; 0.55

Individual

(3) Z_mi = a × Z_i + b

0.501

790.7

10

Same as above

a = 0.58; b = 435.4

(ii)

(4) Z_m = a × Z + b

0.462

796.5

3

0.239

a = 0.66; b = 650

(5) Z_m = a × (exp(b × Z))

0.46

797.6

3

0.239

a = 737.8; b = 0.00057

(6) Z_m = a × Z² + b × Z + c

0.462

796.6

4

0.239

a = -2.782_×10^-5; b = 0.70;

c = 635.5

(iii)

(7) Z_m = a × (dNDVI) + b × Z + c

0.48

789.66

4

0.239

a = -0.44; b = 0.66; c = 650.6

(8) Z_m = a × (dNDVI⁺) + b × (dNDVI^-) + c × Z + d

0.49

786.46

5

0.236

a = -0.71; b = 0.086; d = 0.64;

e = 680.4