What is the Hardy-Weinberg formula?
This question should be ignored by those uncomfortable with genetics. The formula describing frequency of alleles in a population in which alleles are not selected is: p² + 2pq + q² = 1 ,where p+q=1, p is the fraction of alleles in the entire population that are dominant and q is the fraction that are recessive. When resistance, the point I am trying to make with the formula is that in the refuge p and q can rise to point that they are nearly equal. Thus even ignoring the catastrophe of dominant resistance appearing the fraction of recessive alleles can reach a point that guarantees that recessive diploids will ultimately predominate in the insect population. The refuge doesnt really provide a real solution to the appearance of resistance and guaranties that the resistant genes will not be eradicated.