Dynamic models for insect mortality due to exposure to insecticides

Banks, Harvey Thomas; Banks, John E.; Joyner, Sarah Lynn; Stark, John D.

doi:10.1016/j.mcm.2007.10.005

Cited by 13 publications

(15 citation statements)

References 7 publications

(17 reference statements)

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“…For realistic solutions, such as a non-negative population for all time, we use our previously developed ordinary differential equation model [4] to estimate mortality parameters for a given level of insecticide exposure and adapt these parameters for use in the FDE model presented here. That is, in [4] we obtained reasonable "best" parameters using experimental data sets in a ordinary least squares inverse problem formulation. We use the general form of these functions now for our study of the corresponding delay systems.…”

Section: Convergence Of Solutionsmentioning

confidence: 99%

“…It is important to note that each of these six time-varying parameter functions will be approximated using piecewise linear splines, so as the number of nodes taken for each function increases, we enlarge the corresponding nodal parameter space (methods to investigate the general problem of appropriate level of discretization for the parameter functions are discussed in [4,13,20]). The nodal values for all of the parameter functions are summarized in Table 1.…”

Section: Convergence Of Solutionsmentioning

confidence: 99%

“…However, it is unlikely that in practice we would estimate both the background and insecticide-induced mortality rates at the same time. Rather, we should expect to have control data which we could use in an inverse problem to estimate d A and d N in a manner similar to that for the ordinary differential equation model (see [4]). In this case, we would set p A = 0 and p N = 0, reducing the delay system (1) tȯ…”

Section: Ordinary Least Squaresmentioning

confidence: 99%

“…Mortality and reproductive rates are the two most important parameters to consider, and differential equation models are well-suited for the study of this relationship. Their capacity to incorporate time-varying parameters is critical to successful modeling of population dynamics, as evidenced by previous efforts [3,4]. Previous models, however, have not accounted for reproductive effects of the insecticides, including the variability in time at which juvenile insects become adults.…”

Section: Introductionmentioning

confidence: 99%

“…We subsequently hypothesized that the model's success was due entirely to the time-varying parameters and that the size structure in this particular case was not essential. To assess the validity of this hypothesis, we developed an ordinary differential equation model and, using the same data sets, were able to obtain excellent model fits [4]. However, because the data gave information for one generation of aphids only for separate populations of adults and neonates, this model did not incorporate reproductive effects, multiple generations or subclass structures involving transition from neonate to adult.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Estimation in time-delay modeling of insecticide-induced mortality

Banks¹,

Banks²,

Joyner³

2009

Journal of Inverse and Ill-Posed Problems

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Section: Convergence Of Solutionsmentioning

confidence: 99%

Section: Convergence Of Solutionsmentioning

confidence: 99%

Section: Ordinary Least Squaresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Estimation in time-delay modeling of insecticide-induced mortality

Banks¹,

Banks²,

Joyner³

2009

Journal of Inverse and Ill-Posed Problems

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Invasive plants may promote predator‐mediated feedback that inhibits further invasion

Smith

Schmitz

2015

Ecology and Evolution

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Understanding the impacts of invasive species requires placing invasion within a full community context. Plant invaders are often considered in the context of herbivores that may drive invasion by avoiding invaders while consuming natives (enemy escape), or inhibit invasion by consuming invaders (biotic resistance). However, predators that attack those herbivores are rarely considered as major players in invasion. Invasive plants often promote predators, generally by providing improved habitat. Here, we show that predator-promoting invaders may initiate a negative feedback loop that inhibits invasion. By enabling top-down control of herbivores, predator-promoting invaders lose any advantage gained through enemy escape, indirectly favoring natives. In cases where palatable invaders encounter biotic resistance, predator promotion may allow an invader to persist, but not dominate. Overall, results indicate that placing invaders in a full community context may reveal reduced impacts of invaders compared to expectations based on simple plant–plant or plant–herbivore subsystems.

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A Review of Key Features and Their Implementation in Unstructured, Structured, and Agent‐Based Population Models for Ecological Risk Assessment

Accolla

Vaugeois

Grimm

et al. 2020

Integr Envir Assess & Manag

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Population models can provide valuable tools for ecological risk assessment (ERA). A growing amount of work on model development and documentation is now available to guide modelers and risk assessors to address different ERA questions. However, there remain misconceptions about population models for ERA, and communication between regulators and modelers can still be hindered by a lack of clarity in the underlying formalism, implementation, and complexity of different model types. In particular, there is confusion about differences among types of models and the implications of including or ignoring interactions of organisms with each other and their environment. In this review, we provide an overview of the key features represented in population models of relevance for ERA, which include density dependence, spatial heterogeneity, external drivers, stochasticity, life‐history traits, behavior, energetics, and how exposure and effects are integrated in the models. We differentiate 3 broadly defined population model types (unstructured, structured, and agent‐based) and explain how they can represent these key features. Depending on the ERA context, some model features will be more important than others, and this can inform model type choice, how features are implemented, and possibly the collection of additional data. We show that nearly all features can be included irrespective of formalization, but some features are more or less easily incorporated in certain model types. We also analyze how the key features have been used in published population models implemented as unstructured, structured, and agent‐based models. The overall aim of this review is to increase confidence and understanding by model users and evaluators when considering the potential and adequacy of population models for use in ERA. Integr Environ Assess Manag 2021;17:521–540. © 2020 SETAC

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Dynamic models for insect mortality due to exposure to insecticides

Cited by 13 publications

References 7 publications

Estimation in time-delay modeling of insecticide-induced mortality

Estimation in time-delay modeling of insecticide-induced mortality

Invasive plants may promote predator‐mediated feedback that inhibits further invasion

A Review of Key Features and Their Implementation in Unstructured, Structured, and Agent‐Based Population Models for Ecological Risk Assessment

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