The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences. Vol. XXXVII. Part B8. Beijing 2008
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data sets. The Voroni-plot results were generally similar to the
plot level results, save for marginally higher RMSE values,
which indicated that modelling based on Voroni-plots were less
precise than those developed at the plot level.
Data
All
R 2
Adj- R 2
RMSE (m 2 /ha')
Optical
.0810
.0493
6.38
SAR
.0834
.0403
5.44
Fused
.1840
.1371
6.05
4-6 yrs
Optical
.4191
.3483
3.05
SAR
.2497
.1799
3.73
Fused
.3324
.2673
5.71
7-11 yrs
Optical
.5544
.4974
3.67
SAR
.4174
.2939
3.57
Fused
.5418
.4552
6.68
Table 2. Voroni level Basal Area results
4.3 Merchantable Volume: Plot level
Plot level results for mvl multiple regression models are shown
in table 3. Similar to ba when all plots are used to model mvl
results are poor with the SAR data returning the highest R 2 and
adjusted-R 2 . Results improved when the data set was subdivided
into young and mature plots. Once again there appears to be a
disparity between optical and SAR models with respect to age.
In the young age group optical data return far superior models
while in the mature age group the difference between the two
was smaller. SAR data consistently return higher R 2 and
adjusted R 2 values when modelling mvl in mature stands.
Following from this the fused data sets also return improved
models in mature stands, where nearly 50% enumerated mvl
variance was explained compared to less than 10% and less than
30% in the all age group and young group respectively.
RMSE results shown in table 3 reflect the goodness of fit
statistics mentioned above - an interesting result was that while
the models developed with the mature data set return higher R 2
and adjusted R 2 values, the RMSE results in the young data set
were in some cases lower than those reported for the mature
data sets. This indicated that while modelling plot level volume
in the older stands produced superior models, they may not be
that precise when compared to the younger stands.
Data
All
R 2
>
¿Eh
l
5«
RMSE (nf/ha' 1 )
Optical
.1026
.0730
109.33
SAR
.2014
.1298
94.507
Fused
.0925
.0503
244.811
4-6 yrs
Optical
.5679
.4770
33.84
SAR
.2729
.1898
44.075
Fused
.4376
.3690
38.246
7-11 yrs
Optical
.4832
.4454
75.54
SAR
.4958
.4093
73.55
Fused
.4906
* .4369
76.42
Table 3. Plot level Volume results
4.4 Merchantable Volume: Voroni level
Table 4 presents the results from the Voroni level mvl modelling.
Analogous to results already presented in tables 1-3, when all
plots are used to model inventory attributes results are poor.
Goodness of fit statistics improved when the data were
subdivided into young and mature plots. Once again optical
models returned superior goodness of fit statistics in the
younger age group when compared to the SAR results. SAR
results did, however, improve in the mature age group but still
remain inferior when compared to the optical data. Combining
the optical and SAR data using the DWT-IHS transformation
produced superior models in both the mature and all age groups.
While results in the all age group explained less than 15%
variance in enumerated mvl data, this value increased to just
below 60% in the mature stands. Once again the precision of the
mature stand models was called into question when observing
the RMSE results. Younger plots seem to return more precise
models regardless of the independent variables used.
Data
All
R 2
Adj- R 2
RMSE (m 3 /ha J )
Optical
.0702
.0495
101.07
SAR
.0867
.0437
99.10
Fused
.1498
.1208
103.26
4-6
yrs
Optical
.5970
.5317
29.83
SAR
.3250
.2426
44.09
Fused
.3025
.2131
40.20
7-11 yrs
Optical
.4987
.4309
71.83
SAR
.4871
.4040
80.21
Fused
.5716
.5167
69.65
Table 4. Voroni level Volume results
5. DISCUSSION
Both optical and SAR data returned poor results when
compared to those in the published literature. Foody et al. (2001)
used artificial neural networks and multiple independent
variables to model above ground biomass, explaining 80%
variance in field enumerated data. Zheng et al. (2004) used
multiple regressions and achieved an R 2 of 0.67 for both pine
and hardwood species. Lu (2005) found significant differences
between mature and successional forests reporting R 2 values of
0.50 and 0.76, respectively. The major difference between the
present study and those cited above is that the present study
occured in plantation forests, while research in the case of
Foody et al. (2001), Zheng et al. (2004), and Lu (2005) were
conducted in natural forests where forest canopies display
significantly more spectral variability, associated with structural
variability. In contrast, plantation forests do not display as much
canopy spectral variability, thereby making it more difficult to
use reflectance from these canopies to explain structural
variability. The very same observation was evident when
investigating the SAR results.
Past studies have shown that saturation of the relationship
between SAR backscatter is common with asymptotes usually
determined by wavelength (Dobson et al., 1992; Rauste et al.,
1994; Imhoff, 1995; Ramsey, 1999; Fransson and Israelsson,
1999) and to some extent the polarisation (Van de Griend and
Seyhan, 1999; Santos et al., 2003). It proved impossible to