Building anisotropic sampling schemes for the estimation of anisotropic dispersal

Annals of Applied Biology

Volumn 154, Issue 3, 2009, Pages 399-411

  Soubeyrand, S ^a   Enjalbert, J ^b   Kretzschmar, A ^a   Sache, I ^b  

^a INRA   (France)

^b INRA Institut National de la Recherche Agronomique   (France)

Author keywords

Anisotropy; Dispersal; Modelling; Plant disease epidemiology; Sequential sampling scheme

Indexed keywords

ANISOTROPY; DISEASE SPREAD; DISEASE TRANSMISSION; DISPERSAL; EPIDEMIOLOGY; FUNGAL DISEASE; MODEL VALIDATION;

PUCCINIA STRIIFORMIS F. SP. TRITICI; TRITICUM AESTIVUM;

EID: 65549166883     PISSN: 00034746     EISSN: 17447348     Source Type: Journal    
DOI: 10.1111/j.1744-7348.2008.00310.x     Document Type: Article

References (30)

1. Alexander C.J., Holland J.M., Winder L., Woolley C., Perry J.N. (2005) Performance of sampling strategies in the presence of known spatial patterns. Annals of Applied Biology, 146, 361 370. (Pubitemid 40728392)
2. Bullock J.M., Shea K., Skarpaas O. (2005) Measuring plant dispersal: an introduction to field methods and experimental design. Plant Ecology, 186, 217 234.
3. Colbach N., Sache I. (2001) Blackgrass (Alopecurus myosuroides Huds.) seed dispersal from a single plant and its consequences on weed infestation. Ecological Modelling, 139, 201 219. (Pubitemid 32515783)
4. Desprez-Loustau M.L., Robin C., Buée M., Courtecuisse R., Garbaye J., Suffert F., Sache I., Rizzo D. (2007) The fungal dimension of biologic invasions. Trends in Ecology and Evolution, 22, 472 480.
5. Efron B., Tibshirani R.J. (1993) An Introduction to the Bootstrap. New York, NY, USA : Chapman & Hall.
6. Emge R.G., Shrum R.D. (1976) Epiphytology of Puccinia striiformis at five selected locations in Oregon during 1968 and 1969. Phytopathology, 66, 1406 1412.
7. Ferrandino F.J. (2004) Measuring spatial aggregation in binary epidemics: correlative analysis and the advantage of fractal-based sampling. Phytopathology, 94, 1215 1227. (Pubitemid 39448199)
8. Fisher N.I. (1995) Statistical Analysis of Circular Data. Cambridge, UK : Cambridge University Press.
9. Gallacher P.C., Hogan P.J. (1998) Hydrodynamical dispersion of dredged materials sequestered on the abyssal seafloor. Journal of Marine Systems, 14, 305 318. (Pubitemid 28447908)
10. Gregory P.H. (1968) Interpreting plant disease dispersal gradients. Annual Review of Phytopathology, 6, 189 212.
11. Horvitz D.G., Thompson D.J. (1952) A generalization of sampling without replacement from a finite universe. Journal of the American Statistical Association Journal, 47, 663 685.
12. Klein E.K., Lavigne C., Foueillassar X., Gouyon P.-H., Larédo C. (2003) Corn pollen dispersal: quasi-mechanistic models and field experiments. Ecological Monographs, 73, 131 150. (Pubitemid 36247196)
13. Lafratta G. (2006) Efficiency evaluation of MEV spatial sampling strategies: a scenario analysis. Computational Statistics and Data Analysis, 50, 878 890.
14. Lin C.S., Poushinsky G., Mauer M. (1979) An examination of five sampling methods under random and clustered disease distributions using simulations. Canadian Journal of Plant Science, 59, 121 130.
15. Macdonald D.W., Johnson D.D.P. (2001) Dispersal in theory and practice: consequences for conservation biology. In Dispersal, pp. 358 372. Eds J. Clobert, E. Danchin, A.A. Dhondt and J.D. Nichols. Oxford, UK : Oxford University Press.
16. Pielaat A., Lewis M.A., Lele S., de-Camino-Beck T. (2006) Sequential sampling designs for catching the tail of dispersal kernels. Ecological Modelling, 190, 205 222. (Pubitemid 41654788)
17. Ridout M.S., Wan Y.Y.K., Xu X. (2007) Sampling schemes for estimating spikelet incidence of Fusarium head blight. Annals of Applied Biology, 151, 341 347. (Pubitemid 350178774)
18. Skarpaas O., Shea K., Bullock J.M. (2005) Optimizing dispersal study design by Monte Carlo simulation. Journal of Applied Ecology, 42, 731 739. (Pubitemid 41710796)
19. Soubeyrand S., Enjalbert J., Sanchez A., Sache I. (2007) Anisotropy, in direction and in distance, of the dispersal of yellow rust of wheat: experiments in large field plots and estimation. Phytopathology, 97, 1315 1324.
20. Soubeyrand S., Enjalbert J., Sache I. (2008a) Accounting for the roughness of circular processes: using Gaussian random processes to model the anisotropic spread of airborne plant disease. Theoretical Population Biology, 73, 92 103.
21. Soubeyrand S., Held L., Höhle M., Sache I. (2008b) Modelling the spread in space and time of an airborne plant disease. Journal of the Royal Statistical Society C, 57, 253 272.
22. Stockmarr A. (2002) The distribution of particles in the plane dispersed by a simple 3-dimensional diffusion process. Journal of Mathematical Biology, 45, 461 469. (Pubitemid 44200151)
23. Stoyan D., Wagner S. (2001) Estimating the fruit dispersion of anemochorous forest trees. Ecological Modelling, 145, 35 47. (Pubitemid 33136669)
24. Tillé Y. (2006) Sampling Algorithms. New York, NY, USA : Springer.
25. Tufto J., Engen S., Hindar K. (1997) Stochastic dispersal processes in plant populations. Theoretical Population Biology, 52, 16 26. (Pubitemid 27451571)
26. Williams F.L.R., Ogston S.A. (2002) Identifying populations at risk from environmental contamination from point sources. Occupational and Environmental Medicine, 59, 2 8. (Pubitemid 34087949)
27. Wilson R.J., Thomas C.D. (2002) Dispersal and the spatial dynamics of butterfly populations. In Dispersal Ecology, pp. 257 278. Eds J.M. Bullock, R.E. Kenward and R.S. Hails. London, UK : Blackwell Publishing.
28. Xiao X., Gertner G., Wang G., Anderson A.B. (2004) Optimal sampling scheme for estimation landscape mapping of vegetation cover. Landscape Ecology, 20, 375 387.
29. Zhu Z., Stein M.L. (2005) Spatial sampling design for parameter estimation of the covariance function. Journal of Statistical Planning and Inference, 134, 583 603. (Pubitemid 40936102)
30. Zhu Z., Zhang H. (2006) Spatial sampling design under the infill asymptotic framework. Environmetrics, 17, 323 337. (Pubitemid 43893373)