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Table 1 Cereal aphid models simulating aphid movement or timing of arrival in crops

From: Cereal aphid movement: general principles and simulation modelling

Model characteristics

Aim

Country

Scale

Phase(s) of the transport process included

Reference

Turbulent advection simulation/Lagrangian stochastic

To investigate aerial density profiles in relation to simplified aphid behaviours

UK

Long distance migration

Transport in Atmosphere

[64]

Atmospheric trajectory model of dispersal

To estimate migration pathways

Finland

Long distance migration

Transport in Atmosphere

[95]

Trajectory

Modelling aphid migration from source to sink

Illinois, USA

Long distance migration

Transport in Atmosphere

[13, 31, 106]

Trajectory coupled to cohort-based population dynamics

Mechanistic simulation of aphid population dynamics at source and factors leading to take-off, coupled to wind a trajectory simulation model to estimate potential long distance movement risk from irrigated pastures to crops.

South-western Australia

Long distance migration

Source, Transport in Atmosphere, Initial Distribution

[126]

Large-scale: Diffusion–advection-reaction equations

To simulate the landing rate of Sitobion avenae in crop fields across landscapes. Explores landing behaviours and responses to landscape (e.g. wavelengths).

France

Landscape (multi-scale)

Initial Distribution

[123]

Small-scale: cellular automata incorporating behavioural rules.

Hierarchical Bayesian

Driven by field observations to gain knowledge on processes such as insect landing and mortality

Germany

Within-field

Initial Distribution

[55]. See also [125, 128, 129]

Analytical regression

Prediction of the timing of migration into crops from primary host (holocyclic populations only)

Denmark/Scandinavia

Within-field

Initial Distribution

[130, 131]

Analytical regression

Prediction of the timing of migration into crops from primary host (holocyclic populations only) – requires suction trap data

Sweden

Within-field

Initial Distribution

[132]

Analytical regression

Prediction of the timing of migration into autumn crops – requires suction trap data

Wales

Within-field

Initial Distribution

[92]

Analytical regression

Prediction of the timing of migration into autumn crops – requires suction trap data

UK

Within-field

Initial Distribution

[133]

Analytical regression

Prediction of the timing of migration into spring crops – requires suction trap data

UK

Within-field

Initial Distribution

[134, 135]

Individual-based

Stochastic wind-driven dispersal model to examine difference in dispersal and population dynamics depending on pesticide regime

UK

Small landscape

Local Movement

[76]

Cohort-based population dynamics model (STELLA)

Population dynamics model that simulates immigration from a ‘background’ source population. Spatial variation in immigration at the regional scale driven by differences in soil moisture levels.

South-western Australia

Within-field

Initial Distribution (from local source)

[136]

Analytical mathematical model

Estimation of the percentage of plants infected with BYDV, given the number of aphids per plant. Distinction between alate migrant transmission and apterous transmission.

UK

Within-field

Initial Distribution, Local Movement

[137]

Cohort-based

Aphid population dynamics, local dispersal and virus sub-models.

UK

Within-field/small landscape

Local Movement

[138]. See also [69, 139]

Cellular Automata

Rate of spread of BYDV from an origin cell, based on probabilities of infection transferring to the next cell (combined with field observations).

UK

Within-field

Local Movement

[140]

Individual-based

Simplified model of aphid population dynamics and virus transmission from plant to plant. Focus on computing methods rather than ecology.

UK

Within-field/small scale

Local Movement

[141, 142]

Analytical probabilistic model and Markov chain model of disease transmission. Individual-based aphid movement through field.

Examines aspatially the implications of vector preference for diseased or healthy hosts on the spread of BYDV. A Markov chain model and a stochastic individual-based model examine disease transmission and the effects of spatial patchiness.

USA

Non-spatial (analytical) and spatial within-field (Markov chain).

Local Movement

[143] see also [144]

Artificial Neural Networks and multiple regression

Aphid autumn flight timing/numbers. No BYDV.

New Zealand

Autumn flight

Source

[145]

Analytical linear and probit models

Soybean aphid early season colonisation of fields from overwintering hosts.

Canada

Spring flight. Within-field.

Source, Local Movement

[146]