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Development of Resistance to Transgenic Plants 381<br />

• Use of temporal refugia (rotation with a non-Bt<br />

insect host crop) led to a decline in<br />

the frequency of the resistance allele.<br />

• Higher rates of movements increased the rate at which the frequency of resistance<br />

increased.<br />

• The frequency of the resistance allele increased when the refugia were sprayed<br />

with insecticide.<br />

The frequency of resistant phenotypes can be estimated as the ratio of density of larvae<br />

per plant in Bt crops to the density of larvae per plant in an adjacent non-Bt crop (Andow<br />

and Hutchinson, 1998). Functional dominance of resistance alleles and the initial frequency<br />

of those alleles have a major impact on evolution of resistance (Storer et al., 2003). The<br />

survival of susceptible insects on the transgenic crops and the population dynamics of the<br />

insect, driven by winter survival and reproductive rates, were also important. In addition,<br />

agricultural practices, including the proportion of the area planted with maize, and the<br />

larval threshold for insecticide sprays affected the resistance-allele frequency.<br />

Initial frequency of resistance genes is the key determinant for predicting evolution of<br />

resistance in an insect population. However, only a few estimates are available for resistance<br />

gene frequencies under fi eld conditions. Andow and Alstad (1998) proposed a procedure<br />

to estimate resistance gene frequencies in fi eld populations based on F 2 screening.<br />

It does not require a laboratory resistant population, and is more sensitive than discriminating<br />

dose assay for detection of recessive traits. This method estimated no homozygotes<br />

in O. nubilalis, and the frequency of Cry1Ab resistance alleles ranged from 0.013 to 0.0039<br />

in the United States (Andow et al., 2000). Resistance gene frequency in H. virescens has been<br />

estimated to be 1.5 10 3 in the United States (Gould et al., 1995), 4 10 3 for low-level<br />

resistance in H. armigera, and 10 3 for high levels of resistance in P. xylostella in Australia.<br />

However, high levels of resistance alleles have been estimated for P. xylostella in Hawaii<br />

(0.12) and Arizona (0.16) (Tabashnik et al., 1997a, 2000b). Gould et al. (1997) reported 10 3<br />

frequency of resistant alleles in natural populations of H. virescens. Akhurst, James, and<br />

Bird (2000) also estimated the frequency of resistance alleles at 10 3 in H. armigera, which<br />

was supposed to be three times more common than normally assumed (10 6 ) for resistant<br />

genes in the fi eld population. At this frequency, resistance is likely to be a signifi cant problem<br />

in the fi eld in less than 16 generations (4 to 5 years), if Bt resistance management strategies<br />

are not implemented. Estimated frequency of a recessive allele conferring resistance<br />

to Bt toxin Cry1Ac in P. gossypiella was 0.16 (Tabashnik et al., 2003). Unexpectedly, the estimated<br />

resistance allele frequency did not increase from 1997 to 1999 and Bt cotton remained<br />

extremely effective against pink bollworm. The fi nding that 21% of the individuals from a<br />

susceptible strain were heterozygous for the multiple-toxin resistance gene indicated that<br />

the resistance allele frequency was 10 times higher than the most widely cited estimate of<br />

the upper limit for the initial frequency of resistance alleles in susceptible populations.<br />

These fi ndings suggest that insect pests may evolve resistance to some groups of toxins<br />

much faster than previously expected.<br />

Frequency of resistance in O. nubilalis to Bt maize was 3.9 10 3 in an Iowa population<br />

(Andow et al., 2000), indicating that the refuge plus high-dose strategy may be effective<br />

for managing resistance in Bt maize. Partial resistance to Cry1Ab toxin was found to be<br />

common. The 95% CI for the frequency of partial resistance were 8.2 10 4 to 9.4 10 4 for<br />

the Iowa population. Variable costs of the method were $14.90 per isofemale line, which<br />

was a reduction of 25% compared with the initial estimate. Bourguet et al. (2003) screened<br />

1200 isofemale lines of O. nubilalis, and no alleles conferring resistance to Bt maize

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