2003
DOI: 10.1890/0012-9658(2003)084[1207:deopqa]2.0.co;2
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Dynamical Effects of Plant Quality and Parasitism on Population Cycles of Larch Budmoth

Abstract: Abstract. Population cycles have been remarkably resistant to explanation, in part because crucial experiments are rarely possible on appropriate spatial and temporal scales. Here we show how new approaches to nonlinear time-series analysis can distinguish between competing hypotheses for population cycles of larch budmoth in the Swiss Alps: delayed effects of budmoth density on food quality, and budmoth-parasitoid interactions. We reexamined data on budmoth density, plant quality, and parasitism rates. Our re… Show more

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Cited by 141 publications
(154 citation statements)
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“…Crucial additional support is also provided by differences in defoliation levels between forest types. Meanwhile, the lack of evidence that induced defenses affect other insects may be a consequence of the lack of large-scale variation in tree-species composition within forests attacked by those insects (11,26), rather than a true lack of effect of induced defenses. Given enough experimental data with which to estimate parameters, however, our models could in principle be used to detect effects of induced defenses in defoliation data even in the absence of variability in forest type.…”
Section: Discussionmentioning
confidence: 99%
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“…Crucial additional support is also provided by differences in defoliation levels between forest types. Meanwhile, the lack of evidence that induced defenses affect other insects may be a consequence of the lack of large-scale variation in tree-species composition within forests attacked by those insects (11,26), rather than a true lack of effect of induced defenses. Given enough experimental data with which to estimate parameters, however, our models could in principle be used to detect effects of induced defenses in defoliation data even in the absence of variability in forest type.…”
Section: Discussionmentioning
confidence: 99%
“…Moreover, there are no obvious signs of the effects of induced defenses in time series of defoliation or insect densities. Induced-defense models therefore provide no better an explanation for defoliator cycles than do natural-enemy models (10,11), while additionally providing no explanation for mortality due to natural enemies. Given the successes of the natural-enemy hypothesis, these failures of the induced-defense hypothesis have led to the conclusion that induced defenses play little to no role in defoliator outbreak cycles (3).…”
mentioning
confidence: 96%
“…Specifically, we start with an initial guess for the control at the first iteration. We then forward solve the state equations (22) and then backward solve the adjoint equations (24). Once these approximations are complete, we update the control by using the characterization (26) derived in Theorem 3.1.…”
Section: Numerical Examplesmentioning
confidence: 99%
“…Turchin et al [24] propose two discrete-time host-parasitoid models to investigate possible cycling mechanisms for the larch budmoth , Zeiraphera diniana, in the Swiss Alps. In these two models studied by Turchin et al, the Ricker type nonlinearity is used as the per capita moth growth rate.…”
Section: Introductionmentioning
confidence: 99%
“…This insect has an annual life cycle and spends the winter as an egg on the larch branches, starting to feed on the needles as soon as the bud breaks. Multiple factors seem to be in volved in triggering the cycles, such as the host plant quality, the natural en emies, and the migration of the moths (Baltensweiler & Rubli 1999, Bjornstad et al 2002, Turchin et al 2003. However, a disturbance probably related to climate change has caused the col lapse of an outbreak, which was started in 1989 in the traditional occurrence area in Upper Engadine Valley (Baltens weiler 1993).…”
Section: Zeiraphera Dinianamentioning
confidence: 99%