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A novel field-based approach to validate the use of network models for disease spread between dairy herds

Published online by Cambridge University Press:  15 February 2011

L. GARCÍA ÁLVAREZ*
Affiliation:
Department of Veterinary Medicine, University of Cambridge, Cambridge, UK
C. R. WEBB
Affiliation:
Department of Veterinary Medicine, University of Cambridge, Cambridge, UK
M. A. HOLMES
Affiliation:
Department of Veterinary Medicine, University of Cambridge, Cambridge, UK
*
*Author for correspondence: Dr L. García Álvarez, The National Centre for Infection Prevention and Management, Faculty of Medicine, Imperial College, Charing Cross Campus, 3rd Floor, Reynolds Building, St Dunstan's Road, London W6 8RP, UK. (Email: l.garcia-alvarez@imperial.ac.uk)
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Summary

The introduction of a centralized system for recording cattle movements in the UK has provided a framework for network-based models for disease spread. However, there are many types of non-reportable contacts between farms which may play a role in disease spread. The lack of real pathogen data with which to test network models makes it difficult to assess whether reported data adequately captures the risk-potential network between farms and improves the accuracy of disease forecasts. A novel multi-disciplinary approach is described whereby network-based models, built upon reported cattle movements and non-reportable local contacts between study farms, are parameterized using field data on bovine Staphylococcus aureus strains. Reported cattle movements were found to play a role in strain spread between farms, but other contacts via farm visitors were also correlated with strain distribution, suggesting that parameterizing contact networks using cattle-tracing data alone may not adequately capture the disease dynamics.

Information

Type
Original Papers
Copyright
Copyright © Cambridge University Press 2011
Figure 0

Fig. 1. Staphylococcus aureus MLST sequence types (ST) identified on the 44 study farms sampled in May 2007 (▪) and October 2007 ().

Figure 1

Table 1. Definition of node (study farm) state for a given strain type at each sampling point

Figure 2

Fig. 2. Examples of model outputs: observed contact networks vs. random networks (1000 replicates). In the left column, a schematic diagram of the model output is given. Obs, observed value (black arrow); Sim, simulated values range (grey bar). In the right column, the mean exposure to infection of persistently susceptible (PS) farms vs. newly infected (NI) farms for a subset of the models (excluding markets as source locations) and strain types tested are given. The random simulations are coloured in grey, the median of the simulations is represented as a black square, and the value calculated for the observed contact network as a black circle. (a) The state of the study farms at t2 can be explained by the observed contact network: cattle movement network and ST151. (b) The state of the study farms at t2 can be explained by the observed contact network: cattle movement network and ST1074. (c) There is no relationship between the network structure and the strain distribution, and the observed network is not better at predicting strain spread than random networks: milk haulier network and ST151.

Figure 3

Fig. 3. Two-mode networks for (a) semen supply companies, (b) milk hauliers, (c) veterinarians, and (d) foot trimmers. The black squares represent the events and the circles the study farms. Colours of study farms represent the infectious states at time-point 2 for ST151: white is persistently susceptible; light grey is recovered; grey is newly infected; black is persistently infected.

Figure 4

Fig. 4. Model outputs: observed cattle movement network (including markets) vs. random networks (1000 replicates). The random simulations are coloured grey, the median of the simulations is represented as a black square, and the value calculated for the observed contact network as a black circle. (a) Cattle movement network and ST151. (b) Cattle movement network and ST1074.

Figure 5

Fig. 5. Cuzick & Edwards k-nearest neighbour test results for October 2007. Three sequence types (ST151, ST1074, ST425) were considered. The northing and easting coordinates of the farms positive to strain (green) and negative to strain (blue) are represented in the left-hand panels. The study area covered 3516 km2, with an approximate maximum distance of 60 km from North to South, and 105 km from East to West. The values of the test statistic Tk according to the number of nearest neighbours considered (k) are provided in the right-hand panels. Solid red line=maximum of the random values; dashed green line=95th percentile of the random values; solid blue line=observed values; dashed blue line=5th percentile of the random values; solid green line=minimum of the random values.