Gusts within plant canopies are extreme value processes

Physica A: Statistical Mechanics and its Applications

Volumn 391, Issue 21, 2012, Pages 5059-5063

  Reynolds, A M ^a  

^a ROTHAMSTED RESEARCH   (United Kingdom)

Author keywords

Gumbel extreme value statistics; Mixing layers; Plant canopies; Turbulence

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY LAYERS; PROBABILITY DENSITY FUNCTION; TURBULENCE; WIND;

ACCURATE QUANTIFICATIONS; BOUNDARY LAYER TURBULENCE; EQUILIBRIUM PHASE TRANSITIONS; EXTREME VALUE STATISTICS; FREQUENCY DISTRIBUTIONS; MIXING LAYERS; PLANT CANOPIES; SELF-ORGANISED CRITICALITIES;

ATMOSPHERIC THERMODYNAMICS;

EID: 84863984188     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2012.05.062     Document Type: Article

References (34)

1. R.A. Fisher, and L.H.C. Tippett Limiting forms of the frequency distribution of the largest and smallest members of a sample Proceedings of the Cambridge Philosophical Society 24 1928 180 190
2. E.J. Gumbel Statistics of Extremes 1958 Columbia University Press
3. R. Labbé, J.F. Pinton, and S. Fauve Power fluctuations in turbulent swirling flows Journal de Physique II (France) 6 1996 1099 1110 (Pubitemid 126795519)
4. J.-F. Pinton, P.C.W. Holdsworth, and R. Labbé Power fluctuations in a closed turbulent shear flow Physical Review E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 60 1999 R2452 R2455
5. S.T. Bramwell, P.C.W. Holdsworth, and J.-F. Pinton Universality of rare fluctuations in turbulence and critical phenomena Nature 396 1998 552 554 (Pubitemid 28563710)
6. S.T. Bramwell, K. Christensen, J.-Y. Fortin, P.C.W. Holdsworth, H.J. Jensen, S. Lise, J. López, M. Nicodemi, J.-F. Pinton, and M. Sellito Universal fluctuations in correlated systems Physical Review Letters 84 2000 3744 3747
7. V. Aji, and N. Goldenfeld Fluctuations in finite critical and turbulent systems Physical Review Letters 84 2001 1007 1010 (Pubitemid 32169213)
8. V. Naulin, O.E. Garcia, A.H. Nielsen, and J. Juul Rasmussen Statistical properties of transport in plasma turbulence Physics Letters A 321 2004 355 365
9. B. Hnat, B.D. Dudson, R.O. Dendy, G.F. Counsell, A. Kirk, and the MAST Team Characterization of edge turbulence in relation to edge magnetic field configuration in ohmic L-mode plasmas in the mega amp spherical tokamak Nuclear Fusion 48 2008 (Article 085009)
10. S.T. Bramwell The distribution of spatially averaged critical properties Nature Physics 5 2009 444 447
11. S.C. Chapman, G. Rowlands, and N.W. Watkins Extremum statistics: a framework for data analysis Nonlinear Processes in Geophysics 9 2002 409 418 (Pubitemid 35337682)
12. M.R. Raupach, J.J. Finnigan, and Y. Brunet Coherent eddies and turbulence in vegetation canopies: The mixing-layer analogy Boundary-Layer Meteorology 78 1996 351 382 (Pubitemid 27137698)
13. J. Finnigan Turbulence in plant canopies Annual Review of Fluid Mechanics 32 2000 519 571 (Pubitemid 36145005)
14. R.H. Shaw, D.P. Ward, and A.E. Aylor Frequency occurrence of fast gusts of wind inside a corn canopy Journal of Applied Meteorology 18 1979 167 171
15. R.H. Shaw, and H.A. McCartney Gust penetration into plant canopies Atmospheric Environment 19 1985 827 830 (Pubitemid 15067327)
16. D.E. Aylor, Y. Wang, and D.R. Miller Intermittent wind close to the ground within a grass canopy Boundary-Layer Meteorology 66 1993 427 448
17. R.H. Shaw, and U. Schumann Large-eddy simulation of turbulent flow above and within a forest Boundary-Layer Meteorology 61 1992 47 64 (Pubitemid 23374384)
18. N.R. Wilson, and R.H. Shaw A higher order closure model for canopy flow Journal of Applied Meteorology 16 1977 1197 1205
19. T. Meyers, and K.T. Paw U Testing of a higher-order closure model for modeling airflow within and above plant canopies Boundary-Layer Meteorology 37 1986 297 311
20. J.D. Wilson A second-order closure model for flow through vegetation Boundary-Layer Meteorology 42 1988 317 392
21. G.G. Katul, and J.D. Albertson An investigation of higher-order closure models for a forested canopy Boundary-Layer Meteorology 89 1998 47 74 (Pubitemid 29145517)
22. G.G. Katul, and W.-H. Chang Principal length scales in second-order closure models for canopy turbulence Journal of Applied Meteorology 38 1999 1631 1643 (Pubitemid 30095040)
23. K.W. Ayotte, J.F. Finnigan, and M.R. Raupach A Second-order closure for neutrally stratified vegetative canopy flows Boundary-Layer Meteorology 90 1999 189 216 (Pubitemid 29241399)
24. J.D.J-P Pinard, and J.D. Wilson First-and second-order closure models for wind in a plant canopy Journal of Applied Meteorology 40 2001 1762 1768 (Pubitemid 33073301)
25. G.G. Katul, L. Mahrt, D. Poggi, and C. Sanz One-and two-equation models for canopy turbulence Boundary-Layer Meteorology 133 2004 81 109 (Pubitemid 39146700)
26. S.B. Pope PDF methods for turbulent reactive flows Progress in Energy and Combustion Science 11 1985 119 192 (Pubitemid 15541710)
27. A.M. Reynolds Development and validation of a Lagrangian probability density function model of turbulence within and above plant canopies Boundary-Layer Meteorology 142 2012 193 205
28. M.A. Stephens Goodness of fit for the extreme value distribution Biometrika 64 1977 583 588 (Pubitemid 8238538)
29. M. Fréchet, Sur la loi probabilitié de l'écart maximum. Annales de la Société Polonaise de Mathematique, Cracovie, vol. 6, 1927, pp. 93-116.
30. W. Weibull A statistical distribution function of wide applicability Transactions of the ASME. Journal of Applied Mechanics 18 1951 293 297
31. E.A. Ripley, and R.E. Redmann Grassland J.L. Monteith, Vegetation and the Atmosphere, Vol. 2, Case Studies 1976 Academic Press New York 349 389
32. D.E. Aylor The role of intermittent wind in the dispersal of fungal pathogens Annual Review of Phytopathology 28 1990 73 92
33. M.B. Soons, and J.M. Bullock Non-random seed abscission, long-distance wind dispersal and plant migration rates Journal of Ecology 96 2008 581 590 (Pubitemid 351822124)
34. R. Nathan, G.G. Katul, H.S. Horn, S.M. Thomas, R. Oren, R. Avissar, S.W. Pacala, and S.A. Levin Mechanisms of long-distance dispersal of seeds by wind Nature 418 2002 409 413 (Pubitemid 34826840)