836 
VALUES OF P(tjx) AND P(x) 
P(x) 
CROP TYPE 
Late Spring Image (1000 Degree-Days) 
Photo-Density Range 
.10 .21 .31 .41 .51 .61 .71 
.20 .30 .40 .50 .60 .70 .80 
.81 
1.0 
.36 
Spring Wheat 
.01 
.01 
.25 .75 
.01 
.01 
.01 
.01 
.03 
Oats 
.01 
.20 
. 0 .01 
.01 
.01 
.01 
.01 
.05 
Barley 
.01 
.01 
.01 .50 
.50 
.01 
.01 
.01 
.15 
Sod 
.01 
.01 
.01 .01 
.05 
.45 
.45 
.05 
.41 
Summer Fallow 
.01 
.01 
.01 .01 
.01 
.01 
.50 
.50 
Late Summer Image (2000 Degree-Days) 
P(x) 
.36 
Spring Wheat 
.60 
.35 
.05 .01 
.01 
.01 
.01 
.01 
.03 
Oats 
.05 
.80 
.15 .01 
.01 
.01 
.01 
.01 
.05 
Barley 
.01 
.45 
.55 .01 
.01 
.01 
.01 
.01 
.15 
Sod 
.01 
.01 
.15 .84 
.02 
.01 
.01 
.01 
.41 
Summer Fallow 
.01 
.01 
.01 .01 
.01 
.01 
.20 
.80 
FIGURE 6. P(t ± |x) 
and 
P00 
values for each crop type. 
minimum P(t^|x) value of D1 
was used 
to prevent driving 
P(x)P(T^|x) calculations irreversibly to zero. 
Given: Photo-Density Value 
.38 on 
1000 DD 
Image and .20 on 2000 DD 
image 
P(x) P(t|x)= 
Candidate Crops 
P(x) P(ti, t 2 |x) 
PixjT) 
Spring Wheat 
0.054 
0.98 
Oats 
0.001 
0.02 
Barley 
0.000 
0.0 
Sod 
0.000 
0.0 
Summer Fallow 
0.000 
0.0 
jZjPOO P(T ± |x) 
0.055 
Z 
- 1.0 
FIGURE 7. Example of probabilistic key internal structure 
illustrating calculations.