a A RR
where Sp and Sc are residual mean squares from the regression analysis and
if d,e,P can be treated as constants relative to the COV(a,b) and if b and
P can be treated as constants relative to the COV(d,e) (Draper and Smith
1966, p55).
Estimates of mean crown diameter, P, for the test stand and of the
variance for this estimate, V(P), were then required. These were obtained
by randomly locating 80 trees on the aerial photography and measuring the
crown diameter of each tree.P and V(P) were calculated. These estimates of
P and V(P) and the results of the two regressions relating biomass to crown
diameter and relating crown diameter to the photo measurements were all
combined to estimate the average woody biomass per tree and to estimate the
standard error of the estimate using equations 3. and 4.
RESULTS AND DISCUSSION
The regression equations predicting woody biomass from crown diameter
produced correlation coefficients, R, ranging from 0.62 for A. reficiens
to O.81 for A. tortilis and Commiphora Sp. (Table2). With the exception of
A. reficiens which had a relatively low sample size, all were significant
Tous
Oven dry weights ranged from 92.0 to 93.5% of the air dry weight for
Acacia sp. but averaged 63.6% for Commiphora sp. The consistent oven dry to
alr weight relationship between all biomass catagories of Acacia sampled
allowed the use of a single mean relationship of 93.1%. However, the data
suggest that a different relationship should be used for Commiphora species.
It is probable that oven dry to air dry relationships can be developed for
groups of tree species having similar wood properties, this will reduce the
need for subsequent oven drying of field samples.
The predictive regression equations obtained from the comparison of
field and aerial photo measurements of crown diameter showed high and similar
correlation coefficients for 35 mm and 70 mm films (Table 1). The uniformly
high correlations between photo and field measurements of crown diameter
using either 70 mm or 35 mm indicate both to be useable for aerial photo
surveys of biomass within the region.
Table 1. Regressions predicting crown diameter on the ground, Y (m) from
crown diameter on photograph,X (mm) using two types of film
FILM PHOTOGRAPHIC SCALE REGRESSION EQUATION CORR. COEF.
35 mm 1:1317 Y 5 1.04*1.09X 0.93
70 mm 1:2000 Y5;1.57*1.13X 0.93
* Significant (P<.05)
The "F' test for commonality of regressions (Freese ,1967) indicated
that the regressions for A. mellifera. A. reficiens and A. tortilis were
not sifnificantly different from one another. Similarly, the regressions
for A. drepanolobium and Commiphora Sp. were not significantly different
from each other. There were significant difference between the two groups,
416
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