4. GROUND SHAPE BEFORE THE LANDSLIDE
Ground surveys provide a DEM in the National
cartographic system.
In order to compare the ground relief before and after the
landslides we used a map on a 1:5000 scale made twenty-
five years previously.
This map was commissioned by a regional Agency of the
Cassa del Mezzogiorno and it is indicated by the
abbreviation CdM. As said, it was not possible to have
the photograms of that area.
The areas affected by the landslides are at very different
heights with different gradients. Between the niche zone
and the foot of the landslide there are differences in
height above sea level of 800 - 1000 meters.
The contour lines are very close together. Manual
digitisation is difficult and requires considerable time.
So it's better to follow another procedure:
The graphical CdM map was scanned and oriented
through parametric grid marked on the map relating
to the National system.
A semi-automatic vectorization of the 25 m contour
lines was carried out on the raster image by using the
software MGE of Intergraph. Operator often must
intervene owing to the interruption due to captions
and symbols.
The contour lines vectorized using raster were then
transformed into a TIN and then onto a GRID.
For one municipality - Bracigliano - we were able to use
more recent data: an aerophotogrammetric survey of this
municipality was made a few days before the catastrophe.
Unfortunately, an accurate supporting topographic survey
had not been requested.
Cartographic material is not available, but .dxf files of the
contour lines were provided from which it is possible to
derive a DEM. Lines at a 5 meter level were used and a
GRID was then generated. Even isolated marked height-
points were inserted on the DEM.
5. COMPARISON AMONG INTERPOLATORS
Once the DEM of the ground relief before and after the
landslides had been obtained, it was possible to compare
and estimate the volumes.
Unfortunately, the maps do not seem to be very reliable
from the altimetric point of view, also because of the
absence in the area of a good national leveling network.
The lines of geometrical leveling of the main network
pass at a distance of 40 to 50 km from this area.
Problems regarding volume evaluation are the next:
the possible lack of precision of the measurements
made. Sometimes the post-event relief was not accurate
enough for the use of low precision instruments, as in
case of using MDL where the instrumental error increases
with distance and the result is given from the ground
level at a wide solid angle; or in case of motorised GPS
where there is a large margin of error when the antenna is
placed at ground level;
the references to the cartographic heights and to the
new surveys probably are different;
the transformation and interpolation methods of the
DEM could affect the comparison.
As far as the effect of the interpolation method, some
algorithms provided in a well known software (SURFER)
were used on the Bracigliano landslide, for which the
three different data input for DEMs production were
available.
In a evaluation of the best method, particular emphasis
was placed on the following:
the residuals of the interpolation; for some
algorithms the standard deviation ranges from 32 to 43
cm, others produce values that are too high.
the comparison between the original contour lines
and those reconstructed using the DEMs.
Three algorithms were at last considered: Kriging,
Inverse Distance to a power, Triangulation, in order to
elaborate the DEMs on a grid step of both 1 and 2 m.
In table 4 are reported the residuals of the DEMs
interpolations of data set provided by the surveys made
on the ground, both by the digitisation of CdM
cartography and by one of Bracigliano municipality one.
In the upper side of the table (input-data set consists in
sparse points surveyed on the ground) you can note that:
the more thick grid step causes lower values of
standard deviation for all the methods and for the
Triangulation the range of the residuals also results
sensitively lower; naturally the time of elaboration is
quadrupled;
the times of elaboration are contained, and a great
deal low for the Triangulation: 10” for the grid to 1 m and
3” to 2 m.
As far as it concerns the data from CdM (input-data set
consists in TIN drawn by the vectorization of contour
lines taken by cartography in raster form) you see from
the table like the values results very lower than in the
post-event case; those of the standard deviations minus
then 14 cm.
The maximum values of the residuals are smaller then 2
m, sort exception for the method Triangulation, with grid
step of 2 m, that also in this case it is revealed the worse
one, to front of very short times of elaboration (10”).
In the case finally of the DEMs interpolated by the data
of the contour lines plotted from the flight of April ’98,
the values of the standard deviation are noticed to be
higher then in the preceding case, above all for the first
method, and above all a notable growth of the ranges of
the residuals; such values are however more contained in
comparison to the ante-event data.
To the usual one, the method that has furnished the worst
residuals is the Triangulation.
The worse statistic behaviour of the interpolators on the
post-event data can be explained partly from the greatest
smoothing of the surfaces digitized from cartography and
anyway, it is to consider that some out-liers can probably
be present in the ground surveys.
We should bear in mind the large number of points, tens
of thousands, surveyed on the ground and the connection
between partial surveys made with different techniques.