There is also disagreement among practitioners about the wisdom of reducing
                  the dose of a fungicide, especially of those fungicides vulnerable to resistance.  Many 
                  of those who have observed fungicide failures under different conditions 
                  in the field will tell you that using any dose lower than the highest 
                  recommended dose simply invites problems with resistance.  On the other hand, 
                  selection theory says that the higher doses select resistance faster, which 
                  suggests that we should use only as high a dose as necessary to achieve 
                  satisfactory control.
                  
                  Again, this may be a matter of the perception of fungicide failure based 
                  on the numbers of lesions that we see, rather than the measured buildup 
                  of resistance.  We can also use simulation to answer this question.
                  
                  The default spray schedule used in Exercise 2 is based on the recommended 
                  dose of benomyl in each spray.  Let's see what would happen if we used half 
                  the recommended dose.
                  Reinitialize the model by copying and pasting the Venturia dataset into 
                  Load Data File once again.  Select "benomyl" 
                  in the Fungicides menu again.  Then select Schedules... and 
                  find the spray schedule for benomyl.  In the "Dose For All" box, enter .25 
                  and click "Apply Dose."  (Do not worry if .25 appears in all the dose boxes; 
                  if the day is 0, no spray will be applied.)  Click "Save Settings" and "Done."
                  
                  Run the simulation to the end of the season and compare the final number 
                  of lesions and the percent resistance to benomyl with those of the full dose 
                  of benomyl (Exercise 2).  Continue to run the simulation for several consecutive seasons 
                  until the disease control appears to fail.  Compare the number of lesions and 
                  the benomyl resistance at the end of each season with those of the simulation 
                  with the full dose of benomyl (.5 lb/A).
                  
                  What effect does reducing the dose of benomyl to half the standard dose 
                  have on the rate of selection of resistance?
                  
                  What effect does reducing the dose have on the effectiveness of the disease 
                  control?
                  
                  What can be done to improve the effectiveness of benomyl applied at the 
                  reduced dose?