Effect of Rancher’s Management Philosophy, Grazing Practices, and Personal Characteristics on Sustainability Indices for North Central Texas Rangeland Page: 113
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BMA for Land Health Index
Based the output table (Table 4-15), the first model 'model 1' is likely the best model
with the largest posterior probability (0.053), and the lowest BIC (-23.3). It retained 6 variables.
There were a total of 88 separate models evaluated. According to the column labeled "p!=0"',
"CostFence" (X.3.3.3) is the most important variable identified at 100% probability of the
coefficient for this predictor not being zero. From there, the probability declines slightly, with
the next variable identified, "RestLand "(X.3.8.13) having a 99.7% probability of the coefficient
not being zero. The variable identified with the lowest probability of not being zero, in model 1,
is "DenseBrush" (X.1.0.16)" with a 62% likelyhood of its coefficient not being equal to zero.
Table 4-15.
Bayesian Model Averaging Land Health Index Sustainability Models
bicreg(x = sb136o.predictors.3, y = LHindex)
88 models were selected. Best 5 models (cumulative posterior probability = 0.2011 ):
model 1 model 2 model 3 model 4 model 5
p!=0 SD b b b b b
Intercept 100 0.665 35.4 35.4 34.8 34.5 35.0
Minimize Risk by Grazing 30.8 4.59 . . -8.32
Light = to Rotation 96.9 4.88 -11.7 -11.6 -14.2 -12.5 -11.4
CostFence 100 3.68 12.1 12.0 13.2 12.4 11.9
RestLand 99.7 3.69 11.3 11.1 11.0 11.4 11.1
NRCS 97.1 4.31 -10.2 -9.64 -10.3 -11.9 -9.56
Salesman 64.5 5.61 . 7.37 11.1 . 9.77
LandInvestment 39.6 0.00000294 . . 0.00000521 . 0.00000463
DenseBrush 62 0.0301 -0.05 -0.053 -0.0493 . -0.519
MyFriends 90 4.93 -10.3 -10.7 -12.2 -9.06 -9.85
nVar 6 7 9 5 8
r2 0.344 0.368 0.412 0.313 0.388
BIC -23.3 -23.1 -22.4 -22.4 -22.4
Post probability 0.053 0.047 0.034 0.034 0.033113
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Becker, Wayne. Effect of Rancher’s Management Philosophy, Grazing Practices, and Personal Characteristics on Sustainability Indices for North Central Texas Rangeland, dissertation, December 2011; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc103289/m1/124/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .