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presentation of the regions in which the variance is of higher values than 3, which is
directly connected with the slopes inclination (Fig. 3 ).
Figure 4 shows the probability distribution of the logarithmic value of variance
and slope inclination together with their marginal distribution. It is easy to notice
that there is a relationship between these two coefficients. We can also see in Fig. 4
that the surface of Isvika has slopes of inclination from 0 to 20 with the maximum
value of PDF for 7.3 , which is related with variance from 0.05 to 10 with the
maximum value of PDF for 1.
Figure 2c, d shows spatial distribution of skewness and kurtosis of surface
elevation, respectively. It is interesting that the skewness coefficient is equal to
0 and kurtosis is lower than 0 only in the parts close to the slopes, which is directly
connected with values of variance, which has the maximum values in these regions.
It is also easy to see in Fig. 2d that the kurtosis may be connected with the erosion
x10 - 3
7
6
5
4
3
2
1
0
-4
-2
0
2
4
15
15
10
10
5
5
0
0
-4
-2
0
Skewness
2
4
0
0.02
0.04
0.06
Probability
Fig. 5 The joint and marginal distributions of the cell-scale skewness and kurtosis coefficients for
topography of Isvika Bay
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