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Footprints and Fetches for Fluxes over Forest Canopies with Varying Structure and Density

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Abstract

A stochastic trajectory model was used to estimate scalar fluxfootprints in neutral stabilityfor canopies of varying leaf area distributions andleaf area indices. An analytical second-order closure model wasused to predict mean wind speed, second moments and the dissipationrate of turbulent kinetic energy within a forest canopy.The influence of source vertical profile on the flux footprint wasexamined. The fetch is longer for surface sourcesthan for sources at higher levels in the canopy. In order tomeasure all the flux components, and thus the total flux, with adesired accuracy, sources were located at the forest floor in thefootprint function estimation. The footprint functions werecalculated for five observation levels above the canopy top. Itwas found that at low observation heights both canopy density andcanopy structure affect the fetch. The higher abovethe canopy top the flux is measured, the more pronounced is the effectof the canopy structure. The forest fetch for flux measurements isstrongly dependent on the required accuracy: The 90% flux fetchis greater by a factor of two or more compared to the 75% fetch. Theupwind distance contributing 75% of flux is as large as 45 timesthe difference between canopy height and the observation heightabove the canopy top, being even larger for low observationlevels.

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References

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

    Google Scholar 

  • Aubinet, M., Grelle, A., Ibrom, A. Rannik, Ñ., Moncrieff, J., Foken, T., Kowalski, A., Martin, P., Berbigier, P., Bernhofer, C., 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.

    Google Scholar 

  • Baldocchi, D.: 1992, 'A Lagrangian Random-Walk Model for Simulating Water Vapor, CO2 and Sensible Heat Flux Densities and Scalar Profiles over and within a Soybean Canopy', Boundary-Layer Meteorol. 61, 113–144.

    Google Scholar 

  • Baldocchi, D.: 1997, 'Flux Footprints within and over Forest Canopies', Boundary-Layer Meteorol. 85, 273–292.

    Google Scholar 

  • Baldocchi, D. and Meyers, T.: 1998, 'On Using Eco-Physiological, Micrometeorological and Biogeochemical Theory to Evaluate Carbon Dioxide, Water Vapor and Trace Gas Fluxes over Vegetation: A Perspective', Agric. For. Meteorol. 90, 1–26.

    Google Scholar 

  • Ball, J., Woodrow, I., and Berry, J.: 1988, 'A Model Predicting Stomatal Conductance and its Contribution to the Control of Photosynthesis under Different Environmental Conditions', in J. Biggens (ed.), Progress in Photosynthetic Research, Martinus Nijhoff, Dordrecht, pp. 221–224.

    Google Scholar 

  • Campbell, G.: 1985, Soil Physics with BASIC, Elsevier, Amsterdam, 150 pp. (with diskette).

    Google Scholar 

  • Cellier, P. and Brunet, Y.: 1992, 'Flux-Gradient Relationships above Tall Plant Canopies', Agric. For. Meteorol. 58, 93–117.

    Google Scholar 

  • Cescatti, A.: 1998, 'Effects of Needle Clumping in Shoots and Crowns on the Radiative Regime of a Norway Spruce Canopy', Ann. Sci. Forest. 55, 89–102.

    Google Scholar 

  • Chen, J.: 1996, 'Optically-Based Methods for Measuring Seasonal Variation of Leaf Area Index in Boreal Conifer Stands', Agric. For. Meteorol. 80, 135–163.

    Google Scholar 

  • Chen, J., Black, T., and Adams, R.: 1991, 'Evaluation of Hemispherical Photography for Determining Plant Area Index and Geometry of a Forest Stand', Agric. For. Meteorol. 56, 129–143.

    Google Scholar 

  • Falge, E., Graber,W., Siegwolf, R., and Tenhunen, J.: 1996, 'A Model of the Gas Exchange Response of Picea Abies to Habitat Conditions', Trees 10, 277–287.

    Google Scholar 

  • Farquhar, G. and von Caemmerer, S.: 1982, 'Modelling of Photosynthetic Response to Environmental Conditions', in O. Lange, P. Nobel, C. Osmond, and H. Ziegler (eds.), Physiological Plant Ecology II, Vol. 12 B, Springer-Verlag, Berlin, pp. 549–587.

    Google Scholar 

  • Finn, D., Lamb, B., Leclerc, M., and Horst, T.: 1996, 'Experimental Evaluation of Analytical and Lagrangian Surface-Layer Footprint Models', Boundary-Layer Meteorol. 80, 283–308.

    Google Scholar 

  • Flesch, T. and Wilson, J.: 1992, 'A Two-Dimensional Trajectory-Simulation Model for Non-Gaussian, Inhomogeneous Turbulence within Plant Canopies', Boundary-Layer Meteorol. 61.

  • Foken, T. and Wichura, B.: 1996, 'Tools for Quality Assessment of Surface-Based Flux Measurements', Agric. For. Meteorol. 78, 83–105.

    Google Scholar 

  • Goulden, M., Daube, B., Fan, S.-M., Sutton, D., Bazzaz, A., Munger, J., and Wofsy, S.: 1997, 'Physiological Responses of a Black Spruce Forest to Weather', J. Geophys. Res. 102, 28987–8996.

    Google Scholar 

  • Horst, T. and Weil, J.: 1992, 'Footprint Estimation for Scalar Flux Measurements in the Atmospheric Surface Layer', Boundary-Layer Meteorol. 59, 279–296.

    Google Scholar 

  • Horst, T. and Weil, J.: 1994, 'How Far Is Far Enough?: The Fetch Requirements for Micrometeorological Measurement of Surface Fluxes', J. Atmos. Oceanic Tech. 11, 1018–1025.

    Google Scholar 

  • Kurbanmuradov, O., Rannik, Ñ., Sabelfeld, K., and Vesala, T.: 1999, 'Direct and Adjoint Monte Carlo for the Footprint Problem', Monte Carlo Meth. Appl. 5, 85–111.

    Google Scholar 

  • Kurbanmuradov, O., Rannik, Ñ., Sabelfeld, K., and Vesala, T.: 2001, 'Evaluation of Mean Concentration and Fluxes in Turbulent Flows by Lagrangian Stochastic Models', Math. Comp. Simul. 54, 459–476.

    Google Scholar 

  • Lindroth, A., Grelle, A., and Moren, A.-S.: 1998, 'Long-Term Measurments of Boreal Forest Carbon Balance Reveal Large Temperature Sensitivity', Global Change Biol. 4, 443–450.

    Google Scholar 

  • Malhi, Y., Baldocchi, D., and Jarvis, P.: 1999, 'The Carbon Balance of Tropical, Temperate and Boreal Forests', Plant Cell Environ. 22, 715–740.

    Google Scholar 

  • Markkanen, T., Rannik, Ñ., Keronen, P., Suni, T., and Vesala, T.: 2001, 'Eddy Covariance Fluxes over a Boreal Scots Pine Forest', Boreal Environ. Res. 6, 65–78.

    Google Scholar 

  • Massman, W.: 1997, 'An Analytical One-Dimensional Model of Momentum Transfer by Vegetation of Arbitrary Structure', Boundary-Layer Meteorol. 83, 407–421.

    Google Scholar 

  • Massman, W. and Weil, J.: 1999, 'An Analytical One-Dimensional Second-Order Closure Model of Turbulece Statistics and the Lagrangian Time Scale within and above Plant Canopies of Arbitrary Structure', Boundary-Layer Meteorol. 91, 81–107.

    Google Scholar 

  • Meyers, T. and Paw U, K.: 1986, 'Testing a Higher Order Closure Model for Modeling Airflow within and above Plant Canopies', Boundary-Layer Meteorol. 37, 297–311.

    Google Scholar 

  • Nilson, T.: 1971, 'A Theoretical Analysis of the Frequency of Gaps in Plant Stands', Agric. Meteorol. 8, 25–38.

    Google Scholar 

  • Rannik, Ñ., Aubinet, M., Kurbanmuradov, O., Sabelfeld, K., Markkanen, T., and Vesala, T.: 2000, 'Footprint Analysis for the Measurements over a Heterogeneous Forest', Boundary-Layer Meteorol. 97, 137–166.

    Google Scholar 

  • Raupach, M.: 1989, 'A Practical Lagrangian Method for Relating Scalar Concentrations to Source Distributions in Vegetation Canopies', Quart. J. Roy. Meteorol. Soc. 115, 609–632.

    Google Scholar 

  • Reynolds, A.: 1998, 'On the Formulation of Lagrangian Stochastic Models of Scalar Dispersion within Plant Canopies', Boundary-Layer Meteorol. 88, 77–86.

    Google Scholar 

  • Running, S.: 1998, 'A Blueprint for Improved Global Change Monitoring of the Terrestrial Biosphere', Earth Observer 10, 8–12.

    Google Scholar 

  • Schmid, H.: 1994, 'Source Areas for Scalar and Scalar Fluxes', Boundary-Layer Meteorol. 67, 293–318.

    Google Scholar 

  • Schuepp, H., Leclerc, M., MacPherson, J., and Desjardins, R.: 1990, 'Footprint Prediction of Scalar Fluxes fromAnalytical Solutions of the Diffusion Equation', Boundary-Layer Meteorol. 50, 355–373.

    Google Scholar 

  • Thomson, D.: 1987, 'Criteria for the Selection of Stochastic Models of Particle Trajectories in Turbulent Flows', J. Fluid Mech. 180, 529–556.

    Google Scholar 

  • Valentini, R., Matteucci, G., Dolman, A., Schulze, E., Rebmann, C., Moors, E., Granier, A., Gross, P., Jensen, N., Pilegaard, K., Lindroth, A., Grelle, A., Bernhofer, C., Grünwald, T., Aubinet, M., Ceulemans, R., Kowalski, A., Vesala, T., Rannik, Ñ., Berbigier, B., Lousteau, D., Guðmundsson, J., Thorgeirsson, H., Ibrom, A., Morgenstern, K., Clement, R., Moncrieff, J., Montagnani, L., Minerbi, S., and Jarvis, P.: 2000, 'Respiration as the Main Determinant of Carbon Balance in European Forests', Nature 404, 861–865.

    Google Scholar 

  • Wang, Y., Jarvis, P., and Benson, M.: 1990, 'Two-Dimensional Needle-Area Density Distribution within the Crowns of Pinus Radiata', For. Ecol. Manage. 32, 217–237.

    Google Scholar 

  • Wofsy, S., Goulden, M., Munger, J., Fan, S., Bakwin, P., Daube, B., Bassow, S., and Bazzaz, F.: 1993, 'Net Exchange of CO2 in a Midlatitude Forest', Science 260, 1314–1317.

    Google Scholar 

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Markkanen, T., Rannik, Ü., Marcolla, B. et al. Footprints and Fetches for Fluxes over Forest Canopies with Varying Structure and Density. Boundary-Layer Meteorology 106, 437–459 (2003). https://doi.org/10.1023/A:1021261606719

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