PE&RS June 2016 Full - page 444

with differing relief and landforms. This result suggests that
physiography should be considered when using topographic
variables to map a landscape feature, such as palustrine wet-
lands. It should be noted that a direct comparison of variable
importance to prior studies that used a combination of terrain,
spectral, and other variables in different landscapes may be
inappropriate. Instead, this study is designed to simply inves-
tigate the conditional importance of the terrain variables inves-
tigated in this specific landscape for mapping the topographic
probability of palustrine wetland occurrence. Thus, direct
comparisons to other studies should be made with caution.
Predicting Wetlands Not Mapped in the NWI
The statistics for the single statewide model, combining
PEM
and
PFO
/
PSS
wetlands, are shown in Table 4. This model, when
validated using a random sample from within the
NWI
, pro-
duced an
AUC
value of 0.986, in comparison to an
AUC
value
of 0.956 when validated using non-
NWI
wetlands. These
AUC
values were shown to be statistically different at the 95 percent
confidence interval (
p
= <0.001). Thus, in summary, the model
trained with
NWI
wetlands was more accurate in predicting wet-
lands within the
NWI
than predicting wetlands outside of the
NWI
. However, the
AUC
value for predicting outside of the
NWI
was still well above 0.9, suggesting strong model performance
.
The mean probability of occurrence for
NWI
wetland vali-
dation samples was 0.916 with a standard deviation of 0.171
(Table 4). For the non-
NWI
wetland validation samples the mean
probability of occurrence was 0.789 with a standard deviation of
0.261. The accuracy and
AUC
data all indicate that the model is
more accurate at predicting wetlands within the
NWI
compared
to non-
NWI
wetlands. Nevertheless, the summary statistics indi-
cate strong model performance for predicting non-
NWI
wetlands
.
Figure 3 shows kernel density plots (i.e., probability
density functions) for wetland occurrence using the presence
and pseudo absence random samples from both the
NWI
and
non-
NWI
validation data. The figure shows clearly why the
AUC
values are so high: most wetlands have modeled wetland
presence probabilities greater than approximately 70 percent,
while most non-wetlands have very low values, 20 percent or
less, with relatively few samples with probability values in
between. The lower maximum kernel density for the non-
NWI
wetlands is notable, suggesting this data set comprises wet-
lands with characteristics that differ from those of the
NWI
.
The model trained using non-
NWI
data and tested against
non-
NWI
data resulted in a
AUC
value of 0.957, while the same
model tested with
NWI
data resulted in an
AUC
of 0.948, a
statistically different value (
p
= 0.0295). The fact that both the
NWI
-trained and non-
NWI
-trained models each gave higher
AUC
values when tested against other wetlands from the database
from which the training samples were selected, lends strong
support to the interpretation that the
NWI
and non-
NWI
wetland
databases, and their associated random forest models, do differ
.
The reason for this decreased model performance when
predicting the probability of non-
NWI
wetlands is possi-
bly that the
NWI
includes almost all of the larger and more
distinctive wetlands (Tiner, 1997). The remaining unmapped
wetlands are likely small or narrow wetlands, and likely are
Figure 3. Kernel density plot showing distribution of probabilities of predicted palustrine wetland occurrence based on a model trained
with NWI data, for wetland presence and pseudo absence validated using NWI and non-NWI data.
T
able
4. C
omparison
of
C
lassification
of
V
alidation
D
ata within
NWI M
apped
E
xtents
and
O
utside
NWI M
apped
E
xtents
Validation data source
Measure
NWI
Non-NWI
AUC
0.986
0.956
Mean of Wetland Probability
0.916
0.789
Standard Deviation of Wetland Probability 0.171
0.261
444
June 2016
PHOTOGRAMMETRIC ENGINEERING & REMOTE SENSING
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