Modelling and inference of tree pandemics in Great Britain

Lead Research Organisation: Newcastle University
Department Name: Sch of Maths, Statistics and Physics

Abstract

The spread of contagious tree diseases threatens woodlands and urban trees in the UK and globally, and recent UK epidemics of ash and chestnut trees have been covered extensively in the news. The decimation of entire tree populations leads to dramatic ecological changes, and can also pose profound socio-economic challenges. Defra, the government Department for Environmental, Food and Rural Affairs have identified a lack of realistic models to describe and predict tree disease spread as a key gap in their ability to manage pests and diseases effectively. This could have a major influence on the planning and management of trees in both woodlands and urban settings. The proposed research will combine cutting edge techniques from applied mathematical modelling and statistical inference to develop a comprehensive modelling approach to predict tree disease in the UK. The framework we propose will allow the model to be trained on data of past outbreaks before being used to predict emerging pathogens such as sweet chestnut blight.
 
Description Invasive pests pose a great threat to forests, woodland and urban tree ecosystems. The oak processionary moth (OPM) is a destructive pest of oak trees, first reported in the UK in 2006. Despite great efforts to contain the outbreak within the original infested area of South-East England, OPM continues to spread.
The main efforts of the funded project have present has been an analysis of the numbers of OPM nests removed each year from two parks in London between 2013 and 2020. Using a state-of-the-art Bayesian inference scheme we estimate the parameters for a stochastic compartmental SIR (susceptible, infested, removed) model with a time-varying infestation rate to describe the spread of OPM.
We find that the infestation rate and subsequent basic reproduction number have remained constant since 2013. This shows further controls must be taken to reduce the reproduction rate of the moth below one and stop the advance of OPM into other areas of England.

Our findings demonstrate the applicability of the SIR model to describing OPM spread and show that further controls are needed to reduce the infestation rate. The proposed statistical methodology is a powerful tool to explore the nature of a time-varying infestation rate, applicable to other partially observed time series epidemic data and so an important tool for the wider community.
Exploitation Route We are currently disseminating our work to the community to ensure it is put to use by others
Sectors Agriculture, Food and Drink,Environment

 
Description Knowledge Exchange Fellowship: developing and sharing mathematical tools to protect urban trees and woodland from invasive pests
Amount £158,322 (GBP)
Funding ID NE/X000478/1 
Organisation Natural Environment Research Council 
Sector Public
Country United Kingdom
Start 09/2022 
End 09/2025
 
Title Two node compartmental model of epidemic spread 
Description Compartmental modes are widely used to model and understand the spread of disease. Through the research funded by this grant, we have demonstrated their applicability to model the spread of invasive species. We have also gone further and considered a linked network to understand the spatial spread of invasives pest and pathogens. Increases in invasive pests (driven by climate change and enhanced global trade) are having a substantial ecological, economic and social impact, which highlights the value of our new approach. 
Type Of Material Data analysis technique 
Year Produced 2023 
Provided To Others? Yes  
Impact The paper has just been accepted and is in press. 
 
Description Forestry Commission England 
Organisation Forestry Commission
Country United Kingdom 
Sector Public 
PI Contribution In collaboration with Andrew Hoppit (Forestry Commission England), we have made significant steps in modelling the spread of Oak Processionary Moth (OPM) across the Royal Parks in London. This is with a view to developing larger regional level predictions of the spread across the next decade. We have developed Spatio-temporal agent-based models of the spread and have also performed time-series analysis of the aggregated data. Using a variation of and SIR model we used Bayesian inference to understand the time-varying 'infectivity' of the moth across an 8-year window and a first paper as a result of this partnership is under review at present.
Collaborator Contribution Andrew has contributed to important data sets which underpin our work and also expert knowledge of the biology of OPM, its typical behaviour and information about human interventions (nest-removal) which guide our modelling efforts.
Impact This is a multi-disciplinary partnership with a collaboration between mathematics & statistics researchers and a government agency
Start Year 2021