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Aerodynamic Scaling for Estimating the Mean Height of Dense Canopies

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Abstract

We used an aerodynamic method to objectively determine a representative canopy height, using standard meteorological measurements. The canopy height may change if the tree height is used to represent the actual canopy, but little work to date has focused on creating a standard for determining the representative canopy height. Here we propose the ‘aerodynamic canopy height’ h a as the most effective means of resolving the representative canopy height for all forests. We determined h a by simple linear regression between zero-plane displacement d and roughness length z 0, without the need for stand inventory data. The applicability of h a was confirmed in five different forests, including a forest with a complex canopy structure. Comparison with stand inventory data showed that h a was almost equivalent to the representative height of trees composing the crown surface if the forest had a simple structure, or to the representative height of taller trees composing the upper canopy in forests with a complex canopy structure. The linear relationship between d and z 0 was explained by assuming that the logarithmic wind profile above the canopy and the exponential wind profile within the canopy were continuous and smooth at canopy height. This was supported by observations, which showed that h a was essentially the same as the height defined by the inflection point of the vertical profile of wind speed. The applicability of h a was also verified using data from several previous studies.

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References

  • Allen LH Jr (1968) Turbulence and wind speed spectra within a Japanese larch plantation. J Appl Meteorol 7: 73–78

    Article  Google Scholar 

  • Bosveld FC (1997) Derivation of fluxes from profiles over a moderately homogeneous forest. Boundary-Layer Meteorol 84: 289–327

    Article  Google Scholar 

  • Brunet Y, Irvine MR (2000) The control of coherent eddies in vegetation canopies: streamwise structure spacing, canopy share scale and atmospheric stability. Boundary-Layer Meteorol 94: 139–163

    Article  Google Scholar 

  • Cellier P, Brunet Y (1992) Flux-gradient relationships above tall plant canopies. Agric For Meteorol 58: 93–117

    Article  Google Scholar 

  • Cowan IR (1968) Mass, heat and momentum exchange between stands of plants and their atmospheric environment. Quart J Roy Meteorol Soc 94: 523–544

    Article  Google Scholar 

  • de Bruin HAR, Moore CJ (1985) Zero-plane displacement and roughness length for tall vegetation, derived from a simple mass conservation hypothesis. Boundary-Layer Meteorol 31: 39–49

    Article  Google Scholar 

  • Dolman AJ (1988) Estimates of roughness length and zero plane displacement for a foliated and non-foliated oak canopy. Agric For Meteorol 36: 241–248

    Article  Google Scholar 

  • Dolman AJ, Moors EJ, Elbers JA (2002) The carbon uptake of a mid latitude pine forest growing on sandy soil. Agric For Meteorol 111: 157–170

    Article  Google Scholar 

  • Finnigan JJ, Belcher SE (2004) Flow over a hill covered with a plant canopy. Quart J Roy Meteorol Soc 130: 1–29

    Article  Google Scholar 

  • Garratt JR (1980) Surface influence upon vertical profiles in the atmospheric near-surface layer. Quart J Roy Meteorol Soc 106: 803–819

    Article  Google Scholar 

  • Hall RL (2002) Aerodynamic resistance of coppiced poplar. Agric For Meteorol 114: 83–102

    Article  Google Scholar 

  • Harman IN, Finnigan JJ (2007) A simple unified theory for flow in the canopy and roughness sublayer. Boundary-Layer Meteorol 123: 339–363

    Article  Google Scholar 

  • Hicks BB, Hyson P, Moore CJ (1975) A study of eddy fluxed over a forest. J Appl Meteorol 14: 58–66

    Article  Google Scholar 

  • Inoue E (1963) On the turbulent structure of airflow within crop canopies. J Meteorol Soc Jpn 41: 317–326

    Google Scholar 

  • Jacobs AFG, van Boxel JH (1988) Changes of the displacement height and roughness length of maize during a growing season. Agric For Meteorol 42: 53–62

    Article  Google Scholar 

  • Kondo J (1971) Relationship between the roughness coefficient and other aerodynamic parameters. J Meteorol Soc Jpn 49: 121–124

    Google Scholar 

  • Legg BJ, Long IF (1975) Turbulent diffusion within a wheat canopy: II. Results and interpretation. Quart J Roy Meteorol Soc 101: 611–628

    Article  Google Scholar 

  • Leonard RE, Federer CA (1973) Estimated and measured roughness parameters for a pine forest. J Appl Meteorol 12: 302–307

    Article  Google Scholar 

  • Lo AK (1995) Determination of zero-plane displacement and roughness length of a forest canopy using profiles of limited height. Boundary-Layer Meteorol 75: 381–402

    Article  Google Scholar 

  • Maki T (1975) Wind profile parameters of various canopies as influenced by wind velocity and stability. J Agric Meteorol 31: 61–70 (in Japanese with English summary)

    Google Scholar 

  • Maki T (1976) Aerodynamic characteristics of wind within and above a plant canopy—Interrelationship between aerodynamic parameters and plant canopy height. Bull Natl Inst Agric Sci A 23: 1–67

    Google Scholar 

  • Mölder M, Grelle A, Lindroth A, Halldin S (1999) Flux-profile relationships over a boreal forest—roughness sublayer corrections. Agric For Meteorol 98–99: 645–658

    Article  Google Scholar 

  • Monteith JL, Unsworth M (1990) Principles of environmental physics. 2nd edn. Edward Arnold, London, pp 291

    Google Scholar 

  • Moore CJ (1974) A comparative study of forest and grassland micrometeorology. Ph.D. Thesis, The Flinders, University of South Australia, 237 pp

  • Nakai T, Kuwada T, Kodama Y, Ohta T, Maximov TC (2005) Comparison of aerodynamic characteristics among boreal, cool-temperate and warm-temperate forests. J Agric Meteorol 60(5): 689–692

    Google Scholar 

  • Nakai T, van der Molen MK, Gash JHC, Kodama Y (2006) Correction of sonic anemometry angle of attack errors. Agric Forest Meteorol 136: 19–30

    Article  Google Scholar 

  • Nakai T, Sumida A, Daikoku K, Matsumoto K, van der Molen MK, Kodama Y, Kononov AV, Maximov TC, Dolman AJ, Yabuki H, Hara T, Ohta T (2008) Parameterisation of aerodynamic roughness over boreal, cool- and warm-temperate forests. Agric For Meteorol. doi:10.1016/j.agrformet.2008.03.009

  • Raupach MR (1992) Drag and drag partition on rough surfaces. Boundary-Layer Meteorol 60: 375–395

    Article  Google Scholar 

  • Raupach MR (1994) Simplified expressions for vegetation roughness length and zero-plane displacement as functions of canopy height and area index. Boundary-Layer Meteorol 71: 211–216

    Article  Google Scholar 

  • Raupach MR, Finnigan JJ, Brunet Y (1996) Coherent eddies and turbulence in vegetation canopies: the mixing-layer analogy. Boundary-Layer Meteorol 78: 351–382

    Article  Google Scholar 

  • Riggs DS, Guarnieri JA, Addelman S (1978) Fitting straight lines when both variables are subject to error. Life Sci 22: 1305–1360

    Article  Google Scholar 

  • Rinne J, Tuovinen JP, Laurila T, Hakola H, Aurela M, Hypén H (2000) Measurements of hydrocarbon fluxes by a gradient method above a northern boreal forest. Agric For Meteorol 102: 25–37

    Article  Google Scholar 

  • Rooney GG (2001) Comparison of upwind land use and roughness length measured in the urban boundary layer. Boundary-Layer Meteorol 100: 469–486

    Article  Google Scholar 

  • Schaudt KJ (1998) A new method for estimating roughness parameters and evaluating the quality of observations. J Appl Meteorol 37: 470–476

    Article  Google Scholar 

  • Schmid HP, Grimmond CSB, Cropley F, Offerle B, Su HB (2000) Measurements of CO2 and energy fluxes over a mixed hardwood forest in the mid-western United States. Agric For Meteorol 103: 357–374

    Article  Google Scholar 

  • Seginer J, Mulhearn PJ, Bradley ER, Finnigan JJ (1976) Turbulent flow in a model plant canopy. Boundary-Layer Meteorol 10: 423–453

    Article  Google Scholar 

  • Shaw RH, Pereira AR (1982) Aerodynamic roughness of a plant canopy: a numerical experiment. Agric Meteorol 26: 51–65

    Article  Google Scholar 

  • Shimano K (1997) Analysis of the relationship between DBH and crown projection area using a new model. J For Res 2: 237–242

    Article  Google Scholar 

  • Tanner CB, Pelton WL (1960) Potential evapotranspiration estimates by the approximate energy balance of Penman. J Geophys Res 65: 3391–3413

    Article  Google Scholar 

  • Thom AS (1971) Momentum absorption by vegetation. Quart J Roy Meteorol Soc 97: 414–428

    Article  Google Scholar 

  • Thomas C, Foken T (2007) Organised motion in a tall spruce canopy: temporal scales, structure spacing and terrain effects. Boundary-Layer Meteorol 122: 123–147

    Article  Google Scholar 

  • Turnipseed AA, Blanken PD, Anderson DE, Monson RK (2002) Energy budget above a high-elevation subalpine forest in complex topography. Agric For Meteorol 110: 177–201

    Article  Google Scholar 

  • Vesala T, Markkanen T, Palva L, Siivola E, Palmroth S, Hari P (2000) Effect of variations of PAR on CO2 exchange estimation for Scots pine. Agric For Meteorol 100: 337–347

    Article  Google Scholar 

  • Viswanadham Y, Molion LCB, Manzi LDA, Sá LDA, Silva Filho VP (1990) Micrometeorological measurements in amazon forest during GTE/ABLE 2A mission. J Geophys Res 95: 13669–13682

    Article  Google Scholar 

  • Yang R, Friedl MA (2003) Determination of roughness lengths for heat and momentum over boreal forests. Boundary-Layer Meteorol 107: 581–603

    Article  Google Scholar 

  • Zobitz JM, Keener JP, Schnyder H, Bowling DR (2006) Sensitivity analysis and quantification of uncertainty for isotopic mixing relationships in carbon cycle research. Agric For Meteorol 136: 56–75

    Article  Google Scholar 

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Correspondence to Taro Nakai.

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Nakai, T., Sumida, A., Matsumoto, K. et al. Aerodynamic Scaling for Estimating the Mean Height of Dense Canopies. Boundary-Layer Meteorol 128, 423–443 (2008). https://doi.org/10.1007/s10546-008-9299-5

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  • DOI: https://doi.org/10.1007/s10546-008-9299-5

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