Considering producers’ possible aversion to risk,
SSD efficient sets for combined years 1988 and 1989
are listed in Table 7. Assuming nothing about the
probability distributions of either profit, yield, or
damage, risk averse southeastern soybean producers
may replace methyl parathion (Penncap M) with the
risk efficient chemicals Scout and Baythroid and
possibly reduce environmental and human health
degradation. Both Scout and Baythroid are Cate-
gory 3 toxic chemicals compared to Penncap M, a
Category 2 chemical. Figure 1 illustrates the profit
cumulative probability functions for this risk effi-
cient set, Scout and Baythroid, compared with func-
tions for Penncap M and the control. In terms of
yield, less toxic Scout may also replace methyl para-
thion (Penncap M), and less toxic Scout or Baythroid
may be used to lower damage. The cumulative prob-
ability functions for yield and damage associated
with the risk efficient sets compared to Penncap M
and the control are illustrated in Figures 2 and 3,
respectively.
Penncap M is only risk efficient in terms of profit
and yield for Florida stink bug control compared
with Georgia and Louisiana when the years are com-
bined, and in terms of controlling Florida stink bug
damage Penncap M did not enter the risk efficient
set. Risk-averse Florida producers might select
Scout, Baythroid, or Karate as a replacement to
Penncap M when considering profit or yield. They
might also use Scout or Orthene for damage control.
Table 7. Second Degree Stochastic Dominant Efficient Sets
Year________________ |
_______Region_________ |
Profit_____________ |
Yield |
Damage_____ |
1988 and 1989 |
All Regions® |
Scout Baythroidb |
S∞utb |
Scoutb Baythroid |
Florida |
Scout Penncap M Baythroid |
Scout Karateb Penncap M Baythroid |
Scout Ortheneb | |
Georgia |
Scout Baythroidb |
S∞ut |
Baythroidb | |
Louisiana |
Orthene Baythroidb |
Ortheneb |
Baythroidb | |
1988 |
All Regions |
Scoutb |
Scoutb |
Scoutb |
Florida |
Karateb Penncap M |
Karateb Penncap M |
Scout | |
Georgia |
Scout |
Scout Baythroidb |
Scoutb | |
Louisiana |
Karate |
Karate Orthene Cymbushb ■ |
Baythroidb | |
1989 |
All Regions |
Scout |
Scout Ortheneb |
Penncap Mb |
Florida |
Controlb |
Karateb |
Scoutb | |
Georgia |
Scout Baythroidb |
Scout |
Penncap M | |
________Louisiana________ |
______Ortheneb______ |
Ortheneb_______ |
______Karateb________ |
“All regions denote the three states Florida, Georgia, and Louisiana.
bEfficient chemical based on maximum expected value criterion.
89