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Representing the UK's cattle herd as static and dynamic networks

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Vernon, Matthew C. and Keeling, Matthew James. (2009) Representing the UK's cattle herd as static and dynamic networks. Royal Society of London. Proceedings B. Biological Sciences, Vol.276 (No.1656). pp. 469-476. ISSN 0962-8452

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Official URL: http://dx.doi.org/10.1098/rspb.2008.1009

Abstract

Network models are increasingly being used to understand the spread of diseases through sparsely connected populations, with particular interest in the impact of animal movements upon the dynamics of infectious diseases. Detailed data collected by the UK government on the movement of cattle may be represented as a network, where animal holdings are nodes, and an edge is drawn between nodes where a movement of animals has occurred. These network representations may vary from a simple static representation, to a more complex, fully dynamic one where daily movements are explicitly captured. Using stochastic disease simulations, a wide range of network representations of the UK cattle herd are compared. We find that the simpler static network representations are often deficient when compared with a fully dynamic representation, and should therefore be used only with caution in epidemiological modelling. In particular, due to temporal structures within the dynamic network, static networks consistently fail to capture the predicted epidemic behaviour associated with dynamic networks even when parameterized to match early growth rates.

Item Type:

Journal Article

Subjects:

Q Science > QL Zoology
Q Science > QA Mathematics

Divisions:

Faculty of Science > Life Sciences (2010- ) > Biological Sciences ( -2010)
Faculty of Science > Mathematics

Library of Congress Subject Headings (LCSH):

Cattle -- Transportation -- Mathematical models, Cattle -- Diseases, Communicable diseases -- Transmission -- Mathematical models, Social sciences -- Network analysis

Journal or Publication Title:

Royal Society of London. Proceedings B. Biological Sciences

Publisher:

The Royal Society Publishing

ISSN:

0962-8452

Official Date:

February 2009

Dates:

Date	Event
February 2009	Published

Volume:

Vol.276

Number:

No.1656

Page Range:

pp. 469-476

Identification Number:

10.1098/rspb.2008.1009

Status:

Peer Reviewed

Access rights to Published version:

Open Access

Funder:

Wellcome Trust (London, England)

References:

Anderson, R. M. & May, R. M. 1991 Infectious diseases of
humans. Oxford, UK: Oxford University Press.
Baraba´si, A.-L. & Albert, R. 1999 Emergence of scaling in
random networks. Science 286, 509–512. (doi:10.1126/
science.286.5439.509)
Bell, D. C., Atkinson, J. S. & Carlson, J. W. 1999 Centrality
measures for disease transmission networks. Soc. Netw. 21,
1–21. (doi:10.1016/S0378-8733(98)00010-0)
Bigras-Poulin, M., Thompson, R. A., Chriel, M., Mortensen,
S. & Greiner, M. 2006 Network analysis of Danish cattle
industry trade patterns as an evaluation of risk potential
for disease spread. Prev. Vet. Med. 76, 11–39. (doi:10.
1016/j.prevetmed.2006.04.004)
Carrington, P. J., Scott, J. &Wasserman, S. (eds) 2005 Models
and methods in social network analysis. Structural analysis in
the social sciences, no. 27. Cambridge, UK: Cambridge
University Press.
Christley, R. M., Robinson, S. E., Lysons, R. & French, N. P.
2005 Network analysis of cattle movements in Great
Britain. In Proceedings of a Meeting Held at Nairn, Inverness,
Scotland (eds D. J. Mellor, A. M. Russell & J. L. N.Wood),
pp. 234–244. Society for Veterinary Epidemiology and
Preventative Medicine.
Conover, W. J. 1999 Practical nonparametric statistics. New
York, NY: Wiley.
Corner, L. A. L., Pfeiffer, D. U. & Morris, R. S. 2003 Socialnetwork
analysis of Mycobacterium bovis transmission
among captive brushtail possums (Trichosurus vulpecula).
Prev. Vet. Med. 59, 147–167. (doi:10.1016/S0167-5877
(03)00075-8)
Gilbert, M., Mitchell, A., Bourn, D., Mawdsley, J., Clifton-
Hadley, R. & Wint,W. 2005 Cattle movements and bovine
tuberculosis in Great Britain. Nature 435, 491–496.
(doi:10.1038/nature03548)
Green, D. M., Kiss, I. Z. & Kao, R. R. 2006 Modelling the
initial spread of foot-and-mouth disease through animal
movements. Proc. R. Soc. B 273, 2729–2735. (doi:10.
1098/rspb.2006.3648)
Kao, R. R. 2002 The role of mathematical modelling in the
control of the 2001 FMD epidemic in the UK. Trends
Microbiol. 10, 279–286. (doi:10.1016/S0966-842X(02)
02371-5)
Keeling, M. J. 2005 Models of foot-and-mouth disease. Proc.
R. Soc. B 272, 1195–1202. (doi:10.1098/rspb.2004.3046)
Kossinets, G. & Watts, D. J. 2006 Empirical analysis of an
evolving social network. Science 311, 88–90. (doi:10.1126/
science.1116869)
Levins, R. 1969 Some demographic and genetic consequences
of environmental heterogeneity for biological
control. Bull. Entomol. Soc. Am. 15, 237–240.
Lysons, R. E., Gibbens, J. C. & Smith, L. H. 2007 Progress
with enhancing veterinary surveillance in the United
Kingdom. Vet. Rec. 160, 105–112.
Madders, B. 2006 Review of the livestock movement controls.
London, UK: Department for Environment Food and
Rural Affairs. (Presented to Ben Bradshaw (Parliamentary
Under-Secretary Commons).)
Robinson, S. E., Everett, M. G. & Christley, R. M. 2007
Recent network evolution increases the potential
for large epidemics in the British cattle population.
J. R. Soc. Interface 4, 669–674. (doi:10.1098/rsif.2007.
0214)
Skyrms, B. & Pemantle, R. 2000 A dynamic model of social
network formation. Proc. Natl Acad. Sci. USA 97,
9340–9346. (doi:10.1073/pnas.97.16.9340)
Snijders, T. A. B. 2005 Models for longitudinal network
data. In Structural analysis in the social sciences, ch. 11,
no. 27 (eds P. J. Carrington, J. Scott & S. Wasserman),
pp. 215–247. Cambridge, UK: Cambridge University
Press.
Vernon, M. C. 2007 CONTAGION: free software for network
analysis & generation, and disease simulation. See
http://contagion.principate.org/.
Wasserman, S. & Faust, K. 1994 Social network analysis.
Structural analysis in the social sciences, no. 8.
Cambridge, UK: Cambridge University Press.
Wint, G. R. W., Robinson, T. P., Bourn, D. M., Durr, P. A.,
Hay, S. I., Randolph, S. E. & Rogers, D. J. 2002 Mapping
bovine tuberculosis in Great Britain using environmental
data. Trends Microbiol. 10, 441–444. (doi:10.1016/S0966-
842X(02)02444-7)
Zimmermann, M. G., Eguı´luz, V. M. & San Miguel, M. 2004
Coevolution of dynamical states and interactions in
dynamic networks. Phys. Rev. E 69, 065102. (doi:10.
1103/PhysRevE.69.065102)