Epidemics in networks of spatially correlated three-dimensional root-branching structures

Thomas P. Handford, Francisco J. Perez-Reche, Sergei N. Taraskin, Luciano da F. Costa, Mauro Miazaki, Franco M. Neri, Christopher A. Gilligan

Research output: Contribution to journalArticle

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Abstract

Using digitized images of the three-dimensional, branching structures for root systems of bean seedlings, together with analytical and numerical methods that map a common susceptible–infected–recovered (‘SIR’) epidemiological model onto the bond percolation problem, we show how the spatially correlated branching structures of plant roots affect transmission efficiencies, and hence the invasion criterion, for a soil-borne pathogen as it spreads through ensembles of morphologically complex hosts. We conclude that the inherent heterogeneities in transmissibilities arising from correlations in the degrees of overlap between neighbouring plants render a population of root systems less susceptible to epidemic invasion than a corresponding homogeneous system. Several components of morphological complexity are analysed that contribute to disorder and heterogeneities in the transmissibility of infection. Anisotropy in root shape is shown to increase resilience to epidemic invasion, while increasing the degree of branching enhances the spread of epidemics in the population of roots. Some extension of the methods for other epidemiological systems are discussed.
Original languageEnglish
Pages (from-to)423-434
Number of pages12
JournalJournal of the Royal Society Interface
Volume8
Issue number56
DOIs
StatePublished - Mar 2011
Externally publishedYes

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Midodrine
Anthralin
Fusobacterium
Automobiles
Pathogens
Transaminases
Numerical methods
Soils
Anisotropy
Epidemiologic Methods
Plant Roots
Three-Dimensional Imaging
Seedling
Fabaceae
Soil
Infection

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Handford, T. P., Perez-Reche, F. J., Taraskin, S. N., Costa, L. D. F., Miazaki, M., Neri, F. M., & Gilligan, C. A. (2011). Epidemics in networks of spatially correlated three-dimensional root-branching structures. Journal of the Royal Society Interface, 8(56), 423-434. DOI: 10.1098/rsif.2010.0296

Handford, Thomas P.; Perez-Reche, Francisco J.; Taraskin, Sergei N.; Costa, Luciano da F.; Miazaki, Mauro; Neri, Franco M.; Gilligan, Christopher A. / Epidemics in networks of spatially correlated three-dimensional root-branching structures.

In: Journal of the Royal Society Interface, Vol. 8, No. 56, 03.2011, p. 423-434.

Research output: Contribution to journalArticle

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abstract = "Using digitized images of the three-dimensional, branching structures for root systems of bean seedlings, together with analytical and numerical methods that map a common susceptible–infected–recovered (‘SIR’) epidemiological model onto the bond percolation problem, we show how the spatially correlated branching structures of plant roots affect transmission efficiencies, and hence the invasion criterion, for a soil-borne pathogen as it spreads through ensembles of morphologically complex hosts. We conclude that the inherent heterogeneities in transmissibilities arising from correlations in the degrees of overlap between neighbouring plants render a population of root systems less susceptible to epidemic invasion than a corresponding homogeneous system. Several components of morphological complexity are analysed that contribute to disorder and heterogeneities in the transmissibility of infection. Anisotropy in root shape is shown to increase resilience to epidemic invasion, while increasing the degree of branching enhances the spread of epidemics in the population of roots. Some extension of the methods for other epidemiological systems are discussed.",
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Handford, TP, Perez-Reche, FJ, Taraskin, SN, Costa, LDF, Miazaki, M, Neri, FM & Gilligan, CA 2011, 'Epidemics in networks of spatially correlated three-dimensional root-branching structures' Journal of the Royal Society Interface, vol 8, no. 56, pp. 423-434. DOI: 10.1098/rsif.2010.0296

Epidemics in networks of spatially correlated three-dimensional root-branching structures. / Handford, Thomas P.; Perez-Reche, Francisco J.; Taraskin, Sergei N.; Costa, Luciano da F.; Miazaki, Mauro; Neri, Franco M.; Gilligan, Christopher A.

In: Journal of the Royal Society Interface, Vol. 8, No. 56, 03.2011, p. 423-434.

Research output: Contribution to journalArticle

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AB - Using digitized images of the three-dimensional, branching structures for root systems of bean seedlings, together with analytical and numerical methods that map a common susceptible–infected–recovered (‘SIR’) epidemiological model onto the bond percolation problem, we show how the spatially correlated branching structures of plant roots affect transmission efficiencies, and hence the invasion criterion, for a soil-borne pathogen as it spreads through ensembles of morphologically complex hosts. We conclude that the inherent heterogeneities in transmissibilities arising from correlations in the degrees of overlap between neighbouring plants render a population of root systems less susceptible to epidemic invasion than a corresponding homogeneous system. Several components of morphological complexity are analysed that contribute to disorder and heterogeneities in the transmissibility of infection. Anisotropy in root shape is shown to increase resilience to epidemic invasion, while increasing the degree of branching enhances the spread of epidemics in the population of roots. Some extension of the methods for other epidemiological systems are discussed.

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Handford TP, Perez-Reche FJ, Taraskin SN, Costa LDF, Miazaki M, Neri FM et al. Epidemics in networks of spatially correlated three-dimensional root-branching structures. Journal of the Royal Society Interface. 2011 Mar;8(56):423-434. Available from, DOI: 10.1098/rsif.2010.0296