A mechanistic spatio-temporal framework for modelling individual-to-individual transmission-With an application to the 2014-2015 West Africa Ebola outbreak.

Max S Y Lau,Benjamin D Dalziel,George Streftaris,Steven Riley,Sebastian Funk,Bryan T Grenfell,Amanda Mcclelland,Hola Adrakey,Jessica Metcalf,Jon Zelner,Gavin J Gibson

doi:10.1371/journal.pcbi.1005798

Abstract

In recent years there has been growing availability of individual-level spatio-temporal disease data, particularly due to the use of modern communicating devices with GPS tracking functionality. These detailed data have been proven useful for inferring disease transmission to a more refined level than previously. However, there remains a lack of statistically sound frameworks to model the underlying transmission dynamic in a mechanistic manner. Such a development is particularly crucial for enabling a general epidemic predictive framework at the individual level. In this paper we propose a new statistical framework for mechanistically modelling individual-to-individual disease transmission in a landscape with heterogeneous population density. Our methodology is first tested using simulated datasets, validating our inferential machinery. The methodology is subsequently applied to data that describes a regional Ebola outbreak in Western Africa (2014-2015). Our results show that the methods are able to obtain estimates of key epidemiological parameters that are broadly consistent with the literature, while revealing a significantly shorter distance of transmission. More importantly, in contrast to existing approaches, we are able to perform a more general model prediction that takes into account the susceptible population. Finally, our results show that, given reasonable scenarios, the framework can be an effective surrogate for susceptible-explicit individual models which are often computationally challenging.

Highlights

Epidemiological data collected by traditional public health surveillance often contain relatively coarse spatial and temporal information on infected individuals
Developing such frameworks is an essential step for systematically extracting maximal information from data, in particular, evaluating the efficacy of individually-targeted control strategies and enabling forward epidemic prediction at the individual level
In this paper we develop a novel statistical framework that overcomes a few key limitations of existing approaches, enabling a machinery that can be used to infer the history of partially observed outbreaks and, more importantly, to produce a more comprehensive epidemic prediction

Summary

Introduction

Epidemiological data collected by traditional public health surveillance often contain relatively coarse spatial and temporal information on infected individuals. The amount and resolution of the spatio-temporal data have increased vastly due to the advent of ‘digital epidemiology’ along with the increased use of modern communication devices [1], through the use of mobile phones which drastically improves the tracking of human contacts [2,3,4] Such data provide unprecedented opportunities for dissecting disease spread at a more localized, individual-to-individual level. The growing availability of these more precise spatio-temporal data has not been accompanied by development of statistically sound mechanistic frameworks for modelling the underlying individual-to-individual transmission process Developing such methods is an essential step for systematically extracting maximal information from such data, in particular, evaluating the efficacy of individually-targeted control strategies and enabling forward epidemic prediction at the individual level

Results

Discussion

Conclusion