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Modelling the effect of pyrethroid use intensity on mite population density for walnuts
Yu Zhan1, Siqi Fan, Minghua Zhang
1Department of Land, Air and Water Resources, University of California, Davis, CA, USA.
Pest Management Science
|April 15, 2014
Summary
Increased pyrethroid pesticide use in walnuts leads to greater miticide application, potentially worsening mite resistance and environmental risks. This study models the pyrethroid-miticide use relationship.
Area of Science:
- Agricultural Entomology
- Pest Management
- Chemical Ecology
Background:
- Previous studies on pyrethroid use and mite outbreaks relied on experiments.
- A gap existed in quantifying the direct impact of pyrethroid intensity on mite populations.
- This research addresses the need for quantitative models in pest management.
Purpose of the Study:
- To develop and validate a mathematical model.
- To quantify the relationship between pyrethroid use intensity and mite population density.
- To analyze pesticide use patterns in California walnuts.
Main Methods:
- Derived a mathematical model linking pyrethroid use intensity (PI) to miticide use intensity (MI).
- Validated and parameterized the model using 15 years of field data from California walnuts.
- Defined a three-range scheme to categorize pesticide application based on MI change rate relative to PI.
Main Results:
- The model MI = 1.61 - 0.89 · exp(-93.31PI) accurately described the relationship (R² = 0.69).
- A pyrethroid use intensity range of 0-0.025 kg ha⁻¹ was identified as critical, showing rapid increases in miticide use.
- Higher pyrethroid application correlated with increased miticide use, indicating a cycle of pest control escalation.
Conclusions:
- Pyrethroid application necessitates increased miticide use to manage mite resurgence.
- This practice incurs costs and risks aggravating mite resistance to pesticides.
- Increased chemical use poses greater environmental and human health risks.

