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Volumn 4, Issue 16, 2007, Pages 985-997

Accounting for biological variability and sampling scale: A multi-scale approach to building epidemic models

Author keywords

Disease spread; Epidemiology; Multi scale modelling; Propagule dispersal; Spatial

Indexed keywords

ARTICLE; ENVIRONMENT; EPIDEMIC; INFECTION; MATHEMATICAL ANALYSIS;

EID: 34948895499     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2007.1154     Document Type: Article
Times cited : (11)

References (50)
  • 1
    • 1642331319 scopus 로고    scopus 로고
    • Using genetic markers to estimate the pollen dispersal curve
    • doi:10.1111/j.1365-294X.2004.02100.x
    • Austerlitz, F., Dick, C. W., Dutech, C., Klein, E. K., Oddou-Muratorio, S., Smouse, P. E. & Sork, V. L. 2004 Using genetic markers to estimate the pollen dispersal curve. Mol. Ecol. 13, 937-954. (doi:10.1111/j.1365-294X.2004.02100.x)
    • (2004) Mol. Ecol , vol.13 , pp. 937-954
    • Austerlitz, F.1    Dick, C.W.2    Dutech, C.3    Klein, E.K.4    Oddou-Muratorio, S.5    Smouse, P.E.6    Sork, V.L.7
  • 2
    • 0025682362 scopus 로고
    • The role of intermittent wind in the dispersal of fungal pathogens
    • doi:10.1146/annurev.py.28.090190.000445
    • Aylor, D. E. 1990 The role of intermittent wind in the dispersal of fungal pathogens. Annu. Rev. Phytopathol. 28, 73-92. (doi:10.1146/annurev.py.28.090190.000445)
    • (1990) Annu. Rev. Phytopathol , vol.28 , pp. 73-92
    • Aylor, D.E.1
  • 3
    • 37649029342 scopus 로고    scopus 로고
    • Dispersal of spores following a persistent random walk
    • doi:10.1103/PhysRevE.67.031913
    • Bicout, D. J. & Sache, I. 2003 Dispersal of spores following a persistent random walk. Phys. Rev. E 67, 031913.1-031913.7. (doi:10.1103/PhysRevE.67.031913)
    • (2003) Phys. Rev. E , vol.67
    • Bicout, D.J.1    Sache, I.2
  • 4
    • 0027008241 scopus 로고
    • Modélisation spatio-temporelle d'une épidémie par un processus de Gibbs: Estimation et tests
    • doi:10.2307/2532707
    • Chadœuf, J., Nandris, D., Geiger, J. P., Nicole, M. & Pierrat, J. C. 1992 Modélisation spatio-temporelle d'une épidémie par un processus de Gibbs: estimation et tests. Biometrics 48, 1165-1175. (doi:10.2307/2532707)
    • (1992) Biometrics , vol.48 , pp. 1165-1175
    • Chadœuf, J.1    Nandris, D.2    Geiger, J.P.3    Nicole, M.4    Pierrat, J.C.5
  • 8
    • 34948822654 scopus 로고    scopus 로고
    • Stochastic modelling of the spatial spread of influenza in Germany
    • Technical report. Munich, Germany: Ludwig-Maximilians Universität
    • Dargatz, C., Georgescu, V. & Held, L. 2005 Stochastic modelling of the spatial spread of influenza in Germany. Technical report. Munich, Germany: Ludwig-Maximilians Universität.
    • (2005)
    • Dargatz, C.1    Georgescu, V.2    Held, L.3
  • 10
    • 0040843494 scopus 로고    scopus 로고
    • Model-based geostatistics
    • doi:10.1111/1467-9876.00113
    • Diggle, P. J., Tawn, J. A. & Moyeed, R. A. 1998 Model-based geostatistics. J. R. Stat. Soc. C 47, 299-350. (doi:10.1111/1467-9876.00113)
    • (1998) J. R. Stat. Soc. C , vol.47 , pp. 299-350
    • Diggle, P.J.1    Tawn, J.A.2    Moyeed, R.A.3
  • 13
    • 0042334664 scopus 로고    scopus 로고
    • A spatiotemporal stochastic process model for species spread
    • doi:10.1111/1541-0420.00074
    • Fewster, R. M. 2003 A spatiotemporal stochastic process model for species spread. Biometrics 59, 640-649. (doi:10.1111/1541-0420.00074)
    • (2003) Biometrics , vol.59 , pp. 640-649
    • Fewster, R.M.1
  • 14
    • 0000714323 scopus 로고
    • Spore dispersal and plant disease gradients: A comparison between two empirical models
    • Fitt, B. D. L., Gregory, P. H., Todd, A. D., McCartney, H. A. & Macdonald, O. C. 1987 Spore dispersal and plant disease gradients: a comparison between two empirical models. J. Phytopathol. 118, 227-242.
    • (1987) J. Phytopathol , vol.118 , pp. 227-242
    • Fitt, B.D.L.1    Gregory, P.H.2    Todd, A.D.3    McCartney, H.A.4    Macdonald, O.C.5
  • 15
    • 0037195529 scopus 로고    scopus 로고
    • A point pattern model of the spread of foot-and-mouth disease
    • doi:10.1016/S0167-5877(02) 00122-8
    • Gerbier, G., Bacro, J.-N., Pouillot, R., Durand, B., Moutou, F. & Chadœuf, J. 2002 A point pattern model of the spread of foot-and-mouth disease. Prevent. Vet. Med. 56, 33-49. (doi:10.1016/S0167-5877(02) 00122-8)
    • (2002) Prevent. Vet. Med , vol.56 , pp. 33-49
    • Gerbier, G.1    Bacro, J.-N.2    Pouillot, R.3    Durand, B.4    Moutou, F.5    Chadœuf, J.6
  • 16
    • 0039377949 scopus 로고    scopus 로고
    • Markov chain Monte Carlo methods for fitting spatiotemporal stochastic models in plant epidemiology
    • doi:10.1111/1467-9876.00061
    • Gibson, G. J. 1997 Markov chain Monte Carlo methods for fitting spatiotemporal stochastic models in plant epidemiology. J. R. Stat. Soc. C 46, 215-233. (doi:10.1111/1467-9876.00061)
    • (1997) J. R. Stat. Soc. C , vol.46 , pp. 215-233
    • Gibson, G.J.1
  • 18
    • 35148863590 scopus 로고    scopus 로고
    • RLadyBug. An R package for stochastic epidemic models
    • In press
    • Höhle, M. & Feldmann, U. In press. RLadyBug. An R package for stochastic epidemic models. Comput. Stat. Data Anal.
    • Comput. Stat. Data Anal
    • Höhle, M.1    Feldmann, U.2
  • 19
    • 14544271909 scopus 로고    scopus 로고
    • Inference in disease transmission experiments by using stochastic epidemic models
    • doi:10.1111/j.1467-9876.2005.00488.x
    • Höhle, M., Jørgensen, E. & O'Neill, P. D. 2005 Inference in disease transmission experiments by using stochastic epidemic models. J. R. Stat. Soc. C 54, 349-356. (doi:10.1111/j.1467-9876.2005.00488.x)
    • (2005) J. R. Stat. Soc. C , vol.54 , pp. 349-356
    • Höhle, M.1    Jørgensen, E.2    O'Neill, P.D.3
  • 21
    • 6344221308 scopus 로고    scopus 로고
    • Forecast and control of epidemics in a globalized world
    • doi:10.1073/pnas.0308344101
    • Hufnagel, L., Brockmann, D. & Geisel, T. 2004 Forecast and control of epidemics in a globalized world. Proc. Natl. Acad. Sci. USA 101, 15124-15 129. (doi:10.1073/pnas.0308344101)
    • (2004) Proc. Natl. Acad. Sci. USA , vol.101
    • Hufnagel, L.1    Brockmann, D.2    Geisel, T.3
  • 22
    • 34948816486 scopus 로고    scopus 로고
    • Joint estimation of spatial and temporal parameters for epidemic dynamics from successive snapshots
    • Technical report
    • Jamieson, L., Brooks, S. P. & Gilligan, C. A. 2005 Joint estimation of spatial and temporal parameters for epidemic dynamics from successive snapshots. Technical report.
    • (2005)
    • Jamieson, L.1    Brooks, S.P.2    Gilligan, C.A.3
  • 23
    • 0035955427 scopus 로고    scopus 로고
    • Dynamics of the 2001 UK foot and mouth epidemic: Stochastic dispersal in a heterogeneous landscape
    • doi:10.1126/science.1065973
    • Keeling, M. J. et al. 2001 Dynamics of the 2001 UK foot and mouth epidemic: stochastic dispersal in a heterogeneous landscape. Science 294, 813-817. (doi:10.1126/science.1065973)
    • (2001) Science , vol.294 , pp. 813-817
    • Keeling, M.J.1
  • 24
    • 2942630601 scopus 로고    scopus 로고
    • Using conservation of pattern to estimate spatial parameters from a single snapshot
    • doi:10.1073/pnas. 0400335101
    • Keeling, M. J., Brooks, S. P. & Gilligan, C. A. 2004 Using conservation of pattern to estimate spatial parameters from a single snapshot. Proc. Natl Acad. Sci. USA 101, 9155-9160. (doi:10.1073/pnas. 0400335101)
    • (2004) Proc. Natl Acad. Sci. USA , vol.101 , pp. 9155-9160
    • Keeling, M.J.1    Brooks, S.P.2    Gilligan, C.A.3
  • 25
    • 0037324928 scopus 로고    scopus 로고
    • Corn pollen dispersal: Quasi-mechanistic models and field experiments
    • doi:10.1890/0012- 9615(2003)073[0131:CPDQMM]2.0.CO;2
    • Klein, E. K., Lavigne, C., Foueillassar, X., Gouyon, P.-H. & Larédo, C. 2003 Corn pollen dispersal: quasi-mechanistic models and field experiments. Ecol. Monogr. 73, 131-150. (doi:10.1890/0012- 9615(2003)073[0131:CPDQMM]2.0.CO;2)
    • (2003) Ecol. Monogr , vol.73 , pp. 131-150
    • Klein, E.K.1    Lavigne, C.2    Foueillassar, X.3    Gouyon, P.-H.4    Larédo, C.5
  • 26
    • 0031986444 scopus 로고    scopus 로고
    • Pollination and fruit growth models for studying the management of kiwifruit orchards. I. Models description
    • doi:10.1016/S0308-521X(97)00042-5
    • Lescouret, F., Habib, R., Genard, M., Agostini, D. & Chadœuf, J. 1998 Pollination and fruit growth models for studying the management of kiwifruit orchards. I. Models description. Agric. Syst. 56, 67-89. (doi:10.1016/S0308-521X(97)00042-5)
    • (1998) Agric. Syst , vol.56 , pp. 67-89
    • Lescouret, F.1    Habib, R.2    Genard, M.3    Agostini, D.4    Chadœuf, J.5
  • 27
    • 33748681691 scopus 로고    scopus 로고
    • A model for estimating point sources in spatial data
    • doi:10.1016/j.stamet.2005.12.003
    • Martin, R. J., Di Battista, T., Ippoliti, L. & Nissi, E. 2006 A model for estimating point sources in spatial data. Stat. Methodol. 3, 431-443. (doi:10.1016/j.stamet.2005.12.003)
    • (2006) Stat. Methodol , vol.3 , pp. 431-443
    • Martin, R.J.1    Di Battista, T.2    Ippoliti, L.3    Nissi, E.4
  • 28
    • 34948834029 scopus 로고    scopus 로고
    • Dispersal of foliar fungal plant pathogens: Mechanisms, gradients and spatial patterns
    • eds B. M. Cooke, D. G. Jones & B. Kaye, pp, 2nd edn. Dordrecht, The Netherlands: Springer
    • McCartney, H. A. & Fitt, B. D. L. 2006 Dispersal of foliar fungal plant pathogens: mechanisms, gradients and spatial patterns. In The epidemiology of plant diseases (eds B. M. Cooke, D. G. Jones & B. Kaye), pp. 159-192, 2nd edn. Dordrecht, The Netherlands: Springer
    • (2006) The epidemiology of plant diseases , pp. 159-192
    • McCartney, H.A.1    Fitt, B.D.L.2
  • 30
    • 0038050321 scopus 로고    scopus 로고
    • The theoretical basis and practical application of relationships between different disease intensity measurements in plants
    • doi:10.1111/j.1744-7348.2003.tb00242.x
    • McRoberts, N., Hughes, G. & Madden, L. V. 2003 The theoretical basis and practical application of relationships between different disease intensity measurements in plants. Ann. Appl. Biol. 142, 191-211. (doi:10.1111/j.1744-7348.2003.tb00242.x)
    • (2003) Ann. Appl. Biol , vol.142 , pp. 191-211
    • McRoberts, N.1    Hughes, G.2    Madden, L.V.3
  • 31
    • 0038710532 scopus 로고    scopus 로고
    • Spreading disease: Integro-differential equations old and new
    • doi:10.1016/S0025-5564(03)00041-5
    • Medlock, J. & Kot, M. 2003 Spreading disease: integro-differential equations old and new. Math. Biosci. 184, 201-222. (doi:10.1016/S0025-5564(03)00041-5)
    • (2003) Math. Biosci , vol.184 , pp. 201-222
    • Medlock, J.1    Kot, M.2
  • 33
    • 0000644794 scopus 로고
    • Spatial contact models for ecological and epidemic spread
    • Mollison, D. 1977 Spatial contact models for ecological and epidemic spread. J. R. Stat. Soc. B 39, 283-326.
    • (1977) J. R. Stat. Soc. B , vol.39 , pp. 283-326
    • Mollison, D.1
  • 34
    • 6944223150 scopus 로고    scopus 로고
    • Statistical inference and model selection for the 1861 Hegelloch measles epidemic
    • doi:10.1093/biostatistics/5.2.249
    • Neal, P. J. & Roberts, G. O. 2004 Statistical inference and model selection for the 1861 Hegelloch measles epidemic. Biostatistics 5, 249-261. (doi:10.1093/biostatistics/5.2.249)
    • (2004) Biostatistics , vol.5 , pp. 249-261
    • Neal, P.J.1    Roberts, G.O.2
  • 35
    • 33747599418 scopus 로고    scopus 로고
    • Space and contact networks: Capturing the locality of disease transmission
    • doi:10.1098/rsif.2005.0105
    • Parham, P. E. & Ferguson, N. M. 2006 Space and contact networks: capturing the locality of disease transmission. J. R. Soc. Interface 3, 483-493. (doi:10.1098/rsif.2005.0105)
    • (2006) J. R. Soc. Interface , vol.3 , pp. 483-493
    • Parham, P.E.1    Ferguson, N.M.2
  • 37
    • 4043165629 scopus 로고    scopus 로고
    • Ritz, C. 2004 Goodness-of-fit tests for mixed models. Scand. J. Stat. 31, 443-458. (doi:10.1111/j.1467-9469.2004.02_101.x)
    • Ritz, C. 2004 Goodness-of-fit tests for mixed models. Scand. J. Stat. 31, 443-458. (doi:10.1111/j.1467-9469.2004.02_101.x)
  • 38
    • 2542484000 scopus 로고    scopus 로고
    • Measuring pollen flow in forest trees: An exposition of alternative approaches
    • doi:10.1016/j.foreco.2004.05.049
    • Smouse, P. E. & Sork, V. L. 2004 Measuring pollen flow in forest trees: an exposition of alternative approaches. Forest Ecol. Manage. 197, 21-38. (doi:10.1016/j.foreco.2004.05.049)
    • (2004) Forest Ecol. Manage , vol.197 , pp. 21-38
    • Smouse, P.E.1    Sork, V.L.2
  • 39
    • 34547472546 scopus 로고    scopus 로고
    • Residual-based specification of a hidden random field included in a hierarchical model
    • In press
    • Soubeyrand, S. & Chadœuf, J. In press. Residual-based specification of a hidden random field included in a hierarchical model. Comput. Stat. Data Anal.
    • Comput. Stat. Data Anal
    • Soubeyrand, S.1    Chadœuf, J.2
  • 40
    • 33748849082 scopus 로고    scopus 로고
    • Residual-based specification of the random-effects distribution for cluster data
    • doi:10.1016/j.stamet. 2005.12.005
    • Soubeyrand, S., Chadœuf, J., Sache, I. & Lannou, C. 2006a Residual-based specification of the random-effects distribution for cluster data. Stat. Methodol. 3, 464-482. (doi:10.1016/j.stamet. 2005.12.005)
    • (2006) Stat. Methodol , vol.3 , pp. 464-482
    • Soubeyrand, S.1    Chadœuf, J.2    Sache, I.3    Lannou, C.4
  • 41
    • 34948896844 scopus 로고    scopus 로고
    • Soubeyrand, S., Sache, I., Höhle, M. & Held, L. 2006b Modelling the spread in space and time of an airborne plant disease. Research report 24, UR546 Biostatistics and spatial process. Avignon, France: INRA.
    • Soubeyrand, S., Sache, I., Höhle, M. & Held, L. 2006b Modelling the spread in space and time of an airborne plant disease. Research report 24, UR546 Biostatistics and spatial process. Avignon, France: INRA.
  • 42
    • 34948870182 scopus 로고    scopus 로고
    • A frailty model to assess plant disease spread from individual count data
    • Soubeyrand, S., Sache, I., Lannou, C. & Chadœuf, J. 2007 A frailty model to assess plant disease spread from individual count data. J. Data Sci. 5, 67-83.
    • (2007) J. Data Sci , vol.5 , pp. 67-83
    • Soubeyrand, S.1    Sache, I.2    Lannou, C.3    Chadœuf, J.4
  • 43
    • 85082784023 scopus 로고    scopus 로고
    • Anisotropy, in direction and in distance, of the dispersal of yellow rust of wheat: Experiments in large field plots and estimation
    • In press
    • Soubeyrand, S., Enjalbert, J., Sanchez, A. & Sache, I. In press. Anisotropy, in direction and in distance, of the dispersal of yellow rust of wheat: experiments in large field plots and estimation. Phytopathology.
    • Phytopathology
    • Soubeyrand, S.1    Enjalbert, J.2    Sanchez, A.3    Sache, I.4
  • 45
    • 1842856938 scopus 로고    scopus 로고
    • The distribution of particles in the plane dispersed by a simple 3-dimensional diffusion process
    • doi:10.1007/s002850200157
    • Stockmarr, A. 2002 The distribution of particles in the plane dispersed by a simple 3-dimensional diffusion process. J. Math. Biol. 45, 461-469. (doi:10.1007/s002850200157)
    • (2002) J. Math. Biol , vol.45 , pp. 461-469
    • Stockmarr, A.1
  • 46
    • 0030758486 scopus 로고    scopus 로고
    • Stochastic dispersal processes in plant populations
    • doi:10.1006/tpbi.1997.1306
    • Tufto, J., Engen, S. & Hindar, K. 1997 Stochastic dispersal processes in plant populations. Theor. Popul. Biol. 52, 16-26. (doi:10.1006/tpbi.1997.1306)
    • (1997) Theor. Popul. Biol , vol.52 , pp. 16-26
    • Tufto, J.1    Engen, S.2    Hindar, K.3
  • 47
    • 33750983014 scopus 로고    scopus 로고
    • A simulation-based goodness-of-fit test for random effects in generalized linear mixed models
    • doi:10.1111/j.1467-9469.2006.00504.x
    • Waagepetersen, R. 2006 A simulation-based goodness-of-fit test for random effects in generalized linear mixed models. Scand. J. Stat. 33, 721-731. (doi:10.1111/j.1467-9469.2006.00504.x)
    • (2006) Scand. J. Stat , vol.33 , pp. 721-731
    • Waagepetersen, R.1
  • 48
    • 7244239706 scopus 로고    scopus 로고
    • Multiscale modeling and computation
    • Weinan, E. & Engquist, B. 2003 Multiscale modeling and computation. Notices Am. Math. Soc. 50, 1062-1070.
    • (2003) Notices Am. Math. Soc , vol.50 , pp. 1062-1070
    • Weinan, E.1    Engquist, B.2
  • 49
    • 0037367420 scopus 로고    scopus 로고
    • Heterogeneous multiscale method: A general methodology for multiscale modeling
    • Weinan, E., Engquist, B. & Huang, Z. 2003 Heterogeneous multiscale method: a general methodology for multiscale modeling. Phys. Rev. B 67, 09210-1.
    • (2003) Phys. Rev. B , vol.67 , pp. 09210-09211
    • Weinan, E.1    Engquist, B.2    Huang, Z.3
  • 50
    • 0036188841 scopus 로고    scopus 로고
    • On estimation and prediction for spatial generalized linear mixed models
    • doi:10.1111/j.0006- 341X.2002.00129.x
    • Zhang, H. 2002 On estimation and prediction for spatial generalized linear mixed models. Biometrics 58, 129-136. (doi:10.1111/j.0006- 341X.2002.00129.x)
    • (2002) Biometrics , vol.58 , pp. 129-136
    • Zhang, H.1


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