Br. Pittendrigh et al., Deterministic modeling of negative cross-resistance strategies for use in transgenic host-plant resistance, J THEOR BIO, 204(1), 2000, pp. 135-150
Negative cross-resistance refers to a situation in which an insect populati
on that is tolerant (resistant, virulent) to one insecticide is hyper-sensi
tive (avirulent) to a second insecticide and insects hyper-sensitive to the
first compound are tolerant to the second. Most research dealing with nega
tive cross-resistance has focused on the molecular biology and chemical asp
ects of this phenomenon. We explored, from a population genetics perspectiv
e, whether negative cross-resistance is feasible in the control of an insec
t population. As a first step towards this goal, we used a deterministic ap
proach to evaluate different control scenarios and to identify some of the
potential limitations of negative cross-resistance strategies. Specifically
, we investigated how such approaches could be used in a host-plant resista
nce program. Homo- and heterozygous insect fitness influenced the effective
ness of the toxins in controlling the insect population. The negative cross
-resistance strategy was most useful when the insects' virulence to both ho
st-plant toxins was recessive. When virulence was dominant, there were many
periods when intervention with an outside (or third) class of compounds, w
hich had a different mode of action than that of the negative cross-resista
nce compounds, was needed to control the insect population. The greater the
number of insect generations per plant generation, in the absence of immig
ration or emigration in the insect population, the greater the requirement
for intervention with a third class of compound to maintain effective contr
ol of the insect population. When the toxins were rotated every insect gene
ration, and virulence in the insect was recessive to both toxins, effective
control of the insect population was maintained without intervention of a
third class of compounds. (C) 2000 Academic Press.