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A comparative study of some mathematical models of the mean wind structure and aerodynamic drag of plant canopies

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Abstract

A semi-analytical method for describing the mean wind profile and shear stress within plant canopies and for estimating the roughness length and the displacement height is presented. This method incorporates density and vertical structure of the canopy and includes simple parameterizations of the roughness sublayer and shelter factor. Some of the wind profiles examined are consistent with first-order closure techniques while others are consistent with second-order closure techniques. Some profiles show a shearless region near the base of the canopy; however, none displays a secondary maximum there. Comparing several different analytical expressions for the canopy wind profile against observations suggests that one particular type of profile (an Airy function which is associated with the triangular foliage surface area density distribution) is superior to the others. Because of the numerical simplicity of the methods outlined, it is suggested that they may be profitably used in large-scale models of plant-atmosphere exchanges.

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References

  • Abramowitz, M. and Stegun, I. A. (eds.): 1964, Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Ser., No. 55, Washington, D.C., 1046 pp.

  • Albini, F. A.: 1981, ‘A Phenomenological Model for Wind Speed and Shear Stress Profiles in Vegetation Cover Layers’, J. Appl. Meteorol. 20, 1325–1335.

    Google Scholar 

  • Cionco, R. M.: 1965, ‘A Mathematical Model for Air Flow in a Vegetative Cover’, J. Appl. Meteorol. 4, 517–522.

    Google Scholar 

  • Cionco, R. M.: 1978, ‘Analysis of Canopy Index Values for Various Canopy Densities’, Boundary-Layer Meteorol. 15, 81–93.

    Google Scholar 

  • Cowan, I. R.: 1968, ‘Mass, Heat and Momentum Exchange Between Stands of Plants and Their Atmospheric Environment’, Quart. J. Roy. Meteorol. Soc. 94, 523–544.

    Google Scholar 

  • den Hartog, G. and Shaw, R. H.: 1975, ‘A Field Study of Atmospheric Exchange Processes within a Vegetative Canopy’, in D. A. DeVries and N. H. Afgan (eds.), Heat and Mass Transfer in the Biosphere, Scripta Books, Washington, D.C., pp. 299–309.

    Google Scholar 

  • Dolman, A. J.: 1986, ‘Estimates of Roughness Length and Zero Plane Displacement for a Foliated and Non-Foliated Oak Canopy’, Agric. Forest Meteorol. 36, 241–248.

    Google Scholar 

  • Finnigan, J. J.: 1985, ‘Turbulent Transport in Flexible Plant Canopies’, in B. A. Hutchinson and B. B. Hicks (eds.), The Forest-Atmosphere Interaction, D. Reidel Publ. Co., Dordrecht, Holland, pp. 443–480.

    Google Scholar 

  • Finnigan, J. J. and Mulhearn, P. J.: 1978a, ‘Modelling Waving Crops in a Win Tunnel’, Boundary-Layer Meteorol. 14, 253–277.

    Google Scholar 

  • Finnigan, J. J. and Mulhearn, P. J.: 1978b, ‘A Simple Mathematical Model of Airflow in Waving Plant Canopies’, Boundary-Layer Meteorol. 14, 415–431.

    Google Scholar 

  • Garratt, J. R.: 1980, ‘Surface Influence Upon Vertical Profiles in the Atmospheric Near-Surface Layer’, Quart. J. Roy. Meteorol. Soc. 106, 803–819.

    Google Scholar 

  • Gary, H. L.: 1976, ‘Crown Structure and Distribution of Biomass in a Lodgepole Pine Stand’, USDA Forest Service Research Paper, RM-165, 20pp.

  • Grant, R. H.: 1983, ‘The Scaling of Flow in Vegetative Structures’, Boundary-Layer Meteorol. 27, 171–184.

    Google Scholar 

  • Grant, R. H.: 1984, ‘The Mutual Interference of Spruce Canopy Structural Elements’, Agric. Forest Meteorol. 32, 145–156.

    Google Scholar 

  • Grant, R. H.: 1985, ‘The Influence of the Physical Attributes of a Spruce Shoot on Momentum Transfer’, Agric. Forest Meteorol. 36, 7–18.

    Google Scholar 

  • Halldin, S. and Lindroth, A.: 1986, ‘Pine Forest Microclimate Simulation using Different Diffusivities’, Boundary-Layer Meteorol. 35, 103–123.

    Google Scholar 

  • Inoue, E.: 1963, ‘On the Turbulent Structure of Airflow within Crop Canopies’, J. Meteorol. Soc. Japan 41, 317–326.

    Google Scholar 

  • Landsberg, J. J. and Thom, A. S.: 1971, ‘Aerodynamic Properties of a Plant of Complex Structure’, Quart. J. Roy. Meteorol. Soc. 97, 565–570.

    Google Scholar 

  • Legg, B. J.: 1975, ‘Turbulent Diffusion Within a Wheat Canopy: I. Measurement Using Nitrous Oxide’, Quart. J. Roy. Meteorol. Soc. 101, 597–610.

    Google Scholar 

  • Legg, B. J. and Long, I. F.: 1975, ‘Turbulent Diffusion Within a Wheat Canopy: II. Results and inter-pretation’, Quart. J. Roy. Meteorol. Soc. 101, 611–628.

    Google Scholar 

  • Li, Z. J., Miller, D. R., and Lin, J. D.: 1985, ‘A First-Order Closure Scheme to Describe Counter-Gradient Momentum Transport in Plant Canopies’, Boundary-Layer Meteorol. 33, 77–83.

    Google Scholar 

  • Meyers, T. and Paw, U. K. T.: 1986, ‘Testing of a Higher-Order Closure Model for Modeling Airflow Within and Above Plant Canopies’, Boundary-Layer Meteorol. 37, 297–311.

    Google Scholar 

  • Monteith, J. L.: 1963, ‘Gas Exchange in Plant Communities’, in L. T. Evans (ed.), Environmental Control of Plant Communities, Academic Press, New York, New York, pp. 95–112.

    Google Scholar 

  • Pereira, A. R. and Shaw, R. H.: 1980, ‘A Numerical Experiment of the Mean Wind Structure Inside Canopies of Vegetation’, Agric. Meteorol. 22, 303–318.

    Google Scholar 

  • Perrier, A.: 1967, ‘Approche Théorique de la Micro-Turbulence et des Transferts dans les Couverts Végétaux en vue de l'analyse de la Production végétale’, La Météorologie 5, 527–550.

    Google Scholar 

  • Raupach, M. R., Thom, A. S., and Edwards, L.: 1980, ‘A Wind Tunnel Study of Turbulent Flow Close to Regularly Arrayed Rough Surfaces’, Boundary-Layer Meteorol. 18, 373–397.

    Google Scholar 

  • Raupach, M. R., and Thom, A. S.: 1981, ‘Turbulence In and Above Plant Canopies’, Ann. Rev. Fluid Mech. 13, 97–129.

    Google Scholar 

  • Seginer, I.: 1974, ‘Aerodynamic Roughness of Vegetated Surfaces’, Boundary-Layer Meteorol. 5, 383–393.

    Google Scholar 

  • Sellers, P. J., Mintz, Y., Sud, Y., and Dalcher, A.: 1985, ‘A Simple Biosphere Model (SIB) for Use Within General Circulation Models’, J. Atmos. Sci. 43, 505–531.

    Google Scholar 

  • Shaw, R. H.: 1977, ‘Secondary Wind Speed Maxima Inside Plant Canopies’, J. Appl. Meteorol. 16, 514–521.

    Google Scholar 

  • Shaw, R. H. and Pereira, A. R.: 1982, ‘Aerodynamic Roughness of Plant Canopy: A Numerical Experiment’, Agric. Meteorol. 26, 51–65.

    Google Scholar 

  • Shaw, R. H., Den Hartog, G., King, K. M., and Thurtell, G. W.: 1974, ‘Measurements of Mean Wind Flow and Three-Dimensional Turbulence Intensity within a Mature Corn Canopy’, Agric. Meteorol. 13, 419–425.

    Google Scholar 

  • Stewart, D. W. and Lemon, E. R.: 1969, The Energy Budget of the Earth's Surface: A Stimulation of Net Photosynthesis of Field Corn, Technical Report ECOM 2–68 1–68 TASK ITO-61102-B53A-17, Cornell University, Ithaca, New York.

    Google Scholar 

  • Taconet, O., Bernard, R., and Vidal-Madjas, D.: 1986, ‘Evapotranspiration over an Agricultural Region Using a Surface Flux/Temperature Model Based on NOAA-AVHRR Data’, J. of Clim. Appl. Meteorol. 25, 284–307.

    Google Scholar 

  • Thom, A. S.: 1971, ‘Momentum Absorption by Vegetation’, Quart. J. Roy. Meteorol. Soc. 97, 414–428.

    Google Scholar 

  • Wilson, J. D., Ward, D. P., Thurtell, G. W., and Kidd, G. E.: 1982, ‘Statistics of Atmospheric Turbulence within and above a Corn Canopy’, Boundary-Layer Meteorol. 24, 495–519.

    Google Scholar 

  • Yamada, T.: 1982, ‘A Numerical Model Study of Turbulent Airflow in and above a Forest Canopy’, J. Meteorol. Soc. Japan 60, 439–454.

    Google Scholar 

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Author notes

  1. William Massman

    Present address: USDA/US Forest Service, Rocky Mountain Forest and Range Experiment Station, 240 W. Prospect, 80526, Fort Collins, Colorado, USA

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  1. Laboratory for Atmospheres, NASA/Goddard Space Flight Center, 20771, Greenbelt, MD, USA

    William Massman

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  1. William Massman
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Massman, W. A comparative study of some mathematical models of the mean wind structure and aerodynamic drag of plant canopies. Boundary-Layer Meteorol 40, 179–197 (1987). https://doi.org/10.1007/BF00140075

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  • DOI: https://doi.org/10.1007/BF00140075

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