Crop
April
May
June
July
Figure 3. Crop-discrimination scheme obtained by the combined use of greenness (GR) and TVI; crops included are
the main crops cultivated in the irrigation district Grande Bonifica Ferrarese in Italy
characteristic of each crop.
This multi-index multi-temporal method has been ap
plied to a set of MSS-images in 1980 and compared
with agricultural statistics of the Po plain. The
result is given in Table 3 and, although some devia
tions are still rather large, e.g. for alfalfa, these
results seem very promising.
control plots, belong to the same normal parent dis
tribution.
Under the assumption that pairs of samples (S^, S2)
are extracted from a single normal distribution a
Student's t-test can be applied to the difference be
tween the two means. The variable t is obtained as
(Kenney and Keeping 1959):
4 STATISTICAL SIGNIFICANCE OF DIFFERENCES IN TRANS
FORMED VEGETATION INDEX VALUES
t
N 1 N 2
31/2
N 1 + N 2
(2)
The main problem with the multi-index multi-temporal
method is whether the observed differences are
statistically significant.
Mean vegetation indices value and variance have
been calculated for a number of ground control plots
in the two irrigation districts of the Po valley and
of Mendoza. The significance assessment is focussed
on TVI because numerically it is the least sensitive
to variations in reflectance and because of its wide
spread use.
Two procedures have been applied to test the sig
nificance of differences in mean TVI values. The first
procedure is an approximate procedure. In this proce
dure it is assumed that image samples, i.e. the ground
where x-| , ^ are the means, N-| , N2 the number of
elements of S-| respectively S2 and 82 is an estimate
of , the variance of the parent distribution given
by:
. V’
+ N„o
2 2
N, + N- - 2
(3)
2 2
where , 02 are the observed variances of S-j , S2.
The distribution of t, as defined by eq. (2), has
n = N^ + N2 - 2 degrees of freedom.