Abstract
Observations of wind statistics within and above a Scots pine forest are comparedwith those predicted from an analytical second-order closure model. The roughnesssublayer (RSL) effects, and the influence of stability on similarity functions, arestudied using observations. The commonly accepted forms of similarity functionsdescribe the influence of diabatic effects above the RSL well. According to earlierstudies they are expected also to apply within the RSL. As an exception, the averagewind speed normalised with friction velocity was found to be invariant with stabilityclose to the canopy top under unstable conditions. Lagrangian stochastic trajectorysimulations were used to evaluate the influence of canopy turbulence profiles onfootprint prediction. The main uncertainty was found to arise from parameterisationof the random forcing term in the Lagrangian velocity equation. The influence ofdiabatic conditions was studied, and it was found that thermal stability affectssignificantly the footprint function above the forest canopy, but significantuncertainty exists because of uncertainties in the formulation of stability functions.
Similar content being viewed by others
References
Anfossi, D., Degrazia, G., Ferrero, E., Gryining, S. E., Morselli, M. G., and Castelli, S. T.: 2000, 'Estimation of the Lagrangian Structure Function Constant C0 from Surface-Layer Wind Data', Boundary-Layer Meteorol. 95, 249-270.
Aubinet, M., Grelle, A., Ibrom, A., Rannik, Ñ., Moncrieff, J., Foken T., Kowalski, A. S., Martin, P. H., Berbigier, P., Bernhofer, Ch., Clement, R., Elbers, J., Granier, A., Grünwald, T., Morgenstern, K., Pilegaard, K., Rebmann, C., Snijders, W., Valentini, R., and Vesala, T.: 2000, 'Estimates of the Annual Net Carbon and Water Exchange of European Forests: The EUROFLUX Methodology', Adv. Ecol. Res. 30, 113-175.
Baldochhi, D.: 1997, 'Flux Footprints within and over Forest Canopies', Boundary-Layer Meteorol. 85, 273-292.
Cellier, P. and Brunet, Y.: 1992, 'Flux-Gradient Relationships above Tall Plant Canopies', Agric. For. Meteorol. 58, 93-117.
Chen, J. M. and Black, T. A.: 1992, 'Defining Leaf Area Index for Non-Flat Leaves', Plant Cell Environ. 15, 421-429.
Fazu, C. and Schwerdtfeger, P.: 1989, 'Flux-Gradient Relationships for Momentum and Heat over a Rough Natural Surface', Quart. J. Roy. Meteorol. Soc. 115, 335-352.
Finnigan, J.: 2000, 'Turbulence in Plant Canopies', Annu. Rev. Fluid Mech. 32, 519-571.
Flesch, T. K. and Wilson, J. D.: 1992, 'A Two-Dimensional Trajectory-Simulation Model for Non-Gaussian, Inhomogeneous Turbulence within Plant Canopies', Boundary-Layer Meteorol. 61, 349-374.
Högström, U.: 1988, 'Non-Dimensional Wind and Temperature Profiles in the Atmospheric Surface Layer: A Reevaluation', Boundary-Layer Meteorol. 42, 55-78.
Horst, T. W.: 2001, 'Comment on "Footprint Analysis: A Closed Analytical Solution Based on Height-Dependent Profiles of Wind Speed and Eddy viscosity"', Boundary-Layer Meteorol. 101, 435-447.
Horst, T. W. and Weil, J. C.: 1992, 'Footprint Estimation for Scalar Flux Measurements in the Atmospheric Surface Layer', Boundary-Layer Meteorol. 59, 279-296.
Horst, T. W. and Weil, J. C.: 1994, 'How Far Is Far Enough?: The Fetch Requirements for Micrometeorological Measurement of Surface Fluxes', J. Atmos. Oceanic Tech. 11, 1018-1025.
Kaimal, J. C. and Finnigan, J. J.: 1994, Atmospheric Boundary Layer Flows. Their Structure and Measurement, Oxford University Press, New York, 289 pp.
Katul, G., Oren, R., Ellsworth, D., Hsieh, C.-I., and Phillips, N.: 1997, 'A Lagrangian Dispersion Model for Predicting CO2 Sources, Sinks, and Fluxes in a Uniform Loblolly Pine (Pinus taeda L.) Stand', J. Geophys. Res. 102, 9309-9321.
Kurbanmuradov, O., Rannik, Ñ., Sabelfeld, K. K., and Vesala, T.; 2001, 'Evaluation of Mean Concentration and Fluxes in Turbulent Flows by Stochastic Lagrangian Models', Math. Comp. Simul. 54, 459-476.
Lai, C.-T., Katul, G., Ellsworth, D., and Oren, R.: 2000, 'Modelling Vegetation-Atmosphere CO2 Exchange by a Coupled Eulerian-Lagrangian Approach', Boundary-Layer Meteorol. 95, 91-122.
Leclerc, M. Y., Beissner, K. C., Shaw, R. H., den Hartog, G., and Neumann, H. H.: 1990, 'The Influence of Atmospheric Stability on the Budgets of the Reynolds Stress and Turbulent Kinetic Energy within and above a Deciduous Forest', J. Appl. Meteorol. 29, 916-933.
Leuning, R.: 2000, 'Estimation of Scalar Source/Sink Distributions in Plant Canopies Using Lagrangian Dispersion Analysis: Corrections for Atmospheric Stability and Comparison with a Multilayer Canopy Model', Boundary-Layer Meteorol. 96, 293-314.
Marcolla, B., Pitacco, A., and Cescatti, A.: 2003, 'Canopy Architecture and Turbulence Structure in a Coniferous Forest', Boundary-Layer Meteorol. 108, 39-59.
Markkanen, T., Rannik, Ñ., Marcolla, B., Cescatti, A., and T. Vesala: 2003, 'Footprints and Fetches for Fluxes over Forest Canopies with Varying Structure and Density', Boundary-Layer Meteorol. 106, 437-459.
Massman, W. J.: 1997, 'An Analytical One-Dimensional Model of Momentum Transfer by Vegetation of Arbitrary Structure', Boundary-Layer Meteorol. 83, 407-421.
Massman, W. J. and Weil, J. C.: 1999, 'An Analytical One-Dimensional Second-Order Closure Model of Turbulence Statistics and the Lagrangian Time Scale within and above Plant Canopies of Arbitrary Structure', Boundary-Layer Meteorol. 91, 81-107.
Novak, M. D., Warland, J. S., Orchansky, A. L., Ketler, R., and Green, S.: 2000, 'Wind Tunnel and FieldMeasurements of Turbulent Flow in Forests. Part I: Uniformly Thinned Stands', Boundary-Layer Meteorol. 95, 457-495.
Paulson, C. A.: 1970, 'The Mathematical Representation ofWind Speed and Temperature Profiles in the Unstable Atmospheric Surface Layer', J. Appl. Meteorol. 9, 857-860.
Rannik, Ñ.: 1998, 'On the Surface Layer Similarity at a Complex Forest Site', J. Geophys. Res. 103, 8685-8697.
Rannik, Ñ., Aubinet, M., Kurbanmuradov, O., Sabelfeld, K. K., Markkanen, T., and Vesala, T.: 2000, 'Footprint Analysis for the Measurements over a Heterogeneous Forest', Boundary-Layer Meteorol., 97, 137-166.
Raupach, M. R.: 1988, 'Canopy Transport Processes', in W. L. Steffan and O. T. Denmead (eds.), Flow and Transport in the Natural Environment: Advances and Applications, Springer-Verlag, Berlin, 95-127.
Raupach, M. R.: 1989, 'A Practical Lagrangian Method for Relating Scalar Concentrations to Source Distributions in Vegetation Canopies', Quart. J. Roy. Meteorol. Soc. 115, 609-632.
Reynolds, A. M.: 1998a, 'On the Formulation of Lagrangian Stochastic Models of Scalar Dispersion within Plant Canopies', Boundary-Layer Meteorol. 86, 333-344.
Reynolds, A.M.: 1998b, 'A Lagrangian Stochastic Model for the Trajectories of Particle Pairs and its Application to the Prediction of Concentration Variance within Plant Canopies', Boundary-Layer Meteorol. 88, 467-478.
Sawford, B. L.: 1999, 'Rotation of Trajectories in Lagrangian Stochastic Models of Turbulent Dispersion', Boundary-Layer Meteorol. 93, 411-424.
Sawford, B. L., Schuepp, H. P., Leclerc, M. Y., MacPherson, J. I., and Desjardins, R. L.: 1990, 'Footprint Prediction of Scalar Fluxes from Analytical Solutions of the Diffusion Equation', Boundary-Layer Meteorol. 50, 355-373.
Schmid, H. P.: 1994, 'Source Areas for Scalar and Scalar Fluxes', Boundary-Layer Meteorol. 67, 293-318.
Shaw, R. H., Den Hartog, G., and Neuman, H. H.: 1988, 'Influence of Foliar Density and Thermal Stability on Profiles of Reynolds Stress and Turbulence Intensity in a Deciduous Forest', Boundary-Layer Meteorol. 45, 391-409.
Steinberg, P.: 1996, 'Correcting LAI-2000 Estimates for the Clumping of Needles in Shoots of Conifers', Agric. For. Meteorol. 79, 1-8.
Thomson, D. J.: 1987, 'Criteria for the Selection of Stochastic Models of Particle Trajectories in Turbulent Flows', J. Fluid. Mech. 180, 529-556.
Vesala, T., Haataja, J, Aalto, P., Altimir, N., Buzorius, G., Garam, E., Hämeri, K., Ilvesniemi, H., Jokinen, V., Keronen, P., Lahti, T., Markkanen, T., Mäkelä, J. M., Nikinmaa, E., Palmroth, S., Palva, L., Pohja, T., Pumpanen, J., Rannik, Ñ., Siivola, E., Ylitalo, H., Hari, P., and Kulmala, M.: 1998, 'Long-Term Field Measurements of Atmosphere-Surface Interactions in Boreal Forest Combining Forest Ecology, Micrometeorology, Aerosol Physics and Atmospheric Chemistry', Trends Heat Mass Momentum Transfer 4, 17-35.
Wilson, J. D. and Sawford, B. L.: 1996, 'Review of Lagrangian Stochastic Models for Trajectories in the Turbulent Atmosphere', Boundary-Layer Metorol. 78, 191-210.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rannik, Ü., Markkanen, T., Raittila, J. et al. Turbulence Statistics Inside and Over Forest: Influence on Footprint Prediction. Boundary-Layer Meteorology 109, 163–189 (2003). https://doi.org/10.1023/A:1025404923169
Issue Date:
DOI: https://doi.org/10.1023/A:1025404923169