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Estimating Heat Sources And Fluxes In Thermally Stratified Canopy Flows Using Higher-Order Closure Models

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Abstract

Over the past two decades, several inverse methods have been proposed to estimatescalar source and sink strengths from measured mean concentration profiles withinthe canopy volume (hereafter termed the `inverse' problem). These inverse methodscommonly assumed neutral atmospheric stability conditions for the entire canopyvolume. For non-neutral conditions, atmospheric stability corrections in inverseschemes were limited to adjusting the integral time scale or other flow statistics tomatch well-established surface-layer similarity relations above the canopy. Suchstability corrections do not explicitly consider the local stability effects within thecanopy volume. Currently, there is no satisfactory inverse scheme that explicitlyaccounts for local atmospheric stability for canopy turbulence. A Eulerian inversemethod that explicitly accounts for local atmospheric stability within the canopy isdeveloped using second-order closure principles. Field testing the method is conductedusing temperature measurements from two field experiments collected in an even-ageduniform loblolly pine forest. It is demonstrated that by accounting for local atmospheric stability in the inversion scheme, the agreement between modelled sensible heat flux calculations and measurements improve by 60% for stable conditions, 10% for near-neutral conditions and 20% for unstable conditions

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References

  • Anthoni, P. M., Law, B. E., and Unsworth, M. H.: 1999, 'Carbon and Water Vapor Exchange of an Open-Canopied Ponderosa Pine Ecosystem', Agric. For. Meteorol. 95, 151-168.

    Google Scholar 

  • Baldocchi, D. and Harley, P. C.: 1995, 'Scaling Carbon Dioxide and Water Vapor Exchange from Leaf to Canopy in a Deciduous Forest. II Model Testing and Application', Plant Cell Environ. 18, 1157-1173.

    Google Scholar 

  • Baldocchi, D. and Meyers, T.: 1998, 'On the Eco-Physiological and Biogeochemical Theory to Evaluate Carbon Dioxide, Water Vapor and Trace Gas Fluxes over Vegetation: A Perspective', Agric. For. Meteorol. 90, 1-25.

    Google Scholar 

  • Begg, J. E., Bierhuizen, J. F., Lemon, E. R., Misra, D. K., Slatyer, R. O., and Stern, W. R.: 1964, 'Diurnal Energy and Water Exchanges in Bulrush Millet in a Area of High Solar Radiation', Agric. Meteorol. 1, 294-312.

    Google Scholar 

  • Brown, K. W. and Covey, W.: 1966, 'The Energy-Budget Evaluation of the Micro-Meteorological Transfer Processes within a Cornfield', Agric. Meteorol. 3, 73-96.

    Google Scholar 

  • Culf, A. D., Fisch, G., Malhi, Y., and Nobre, C. A.: 1997, 'The Influence of the Atmospheric Boundary Layer on Carbon Dioxide Concentrations over a Tropical Forest', Agric. For. Meteorol. 85, 149-158.

    Google Scholar 

  • Denmead, O. T.: 1995, 'Novel Meteorological Methods for Measuring Trace Gas Fluxes', Phil. Trans. Roy. Soc. of London A 351, 383-396.

    Google Scholar 

  • Denmead, O. T. and Raupach, M. R.: 1993, 'Methods for Measuring Atmospheric Gas Transport in Agricultural and Forest System, in J. M. Duxbury, L. A. Harper, A. R. Mosier, and D. E. Rolston (eds.), Agricultural Ecosystem Effects on Trace Gases and Global Climate Change, American Society of Agronomy, Madison, pp. 19-43.

    Google Scholar 

  • Denmead, O. T., Harper, L. A., and Sharpe, R. R: 2000, 'Identifying Sources and Sinks of Scalars in a Corn Canopy with Inverse Lagrangian Dispersion Analysis: I. Heat', Agric. For. Meteorol. 104, 67-73.

    Google Scholar 

  • Finnigan, J. J.: 1985, 'Turbulent Transport in Plant Canopies', in B. A. Hutchinson and B. B. Hicks (eds.), The Forest-Atmosphere Interactions, D. Reidel, Norwell, MA, pp. 443-480.

    Google Scholar 

  • Gao, W., Wesely, M. L., and Doskey, P. V.: 1993, 'Numerical Modelling of the Turbulent Diffusion and Chemistry of NOx, O3, Isoprene, and Other Reactive Trace Gases in and above a Forest Canopy', J. Geophys. Res. 98, 18,339-18,353.

    Google Scholar 

  • Gu, L. H., Shugart, H. H., Fuentes, J. D., Black, T. A., and Shewchuk, S. R.: 1999, 'Micrometeorology, Biophysical Exchange and NEE Decomposition in a Two-Story Boreal Forest-Development and Test of an Integrated Model', Agric. For. Meteorol. 94, 123-148.

    Google Scholar 

  • Kaimal, J. C. and Finnigan, J. J.: 1994, Atmospheric Boundary Layer Flows: Their Structure and Measurement, Oxford Press, 289 pp.

  • Katul, G. G. and Albertson, J. D.: 1998, 'An Investigation of Higher Order Closure Models for a Forested Canopy', Boundary-Layer Meteorol. 89, 47-74.

    Google Scholar 

  • Katul, G. G. and Albertson, J. D.: 1999, 'Modeling CO2 Sources, Sinks and Fluxes within a Forest Canopy', J. Geophys. Res. 104, 6081-6091.

    Google Scholar 

  • Katul, G. G. and Chang, W.-H.: 1999, 'Principal Length Scales in Second-Order Closure Models for Canopy Turbulence', J. Appl. Meteorol. 38, 1631-1643.

    Google Scholar 

  • Katul, G. G., Hsieh, C. I., Bowling, D., Clark, K., Shurpali, N., Turnipseed, A., Albertson, J. D., Tu, K., Hollinger, D., Evans, B., Offerle, B., Anderson, D., Ellsworth, D., Vogel, C., and Oren, R.: 1999, 'Spatial Variability of Turbulent Fluxes in the Roughness Sublayer of an Even-Aged Pine Forest', Boundary-Layer Meteorol. 93, 1-28.

    Google Scholar 

  • Katul, G. G., Leuning, R., Kim, J., Denmead, O. T., Miyata, A., and Harazono, Y.: 2001, 'Estimating CO2 Source/Sink Distributions within a Rice Canopy Using Higher-Order Closure Models', Boundary-Layer Meteorol. 98, 103-125.

    Google Scholar 

  • Katul, G. G., Oren, R., Ellsworth, D., Hsieh, C. I., Phillips, N., and Lewin, K.: 1997a, '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.

    Google Scholar 

  • Katul, G. G., Hsieh, C. I., Kuhn, G., Ellsworth, D., and Nie, D.: 1997b, 'Turbulent Eddy Motion at the Forest-Atmosphere Interface', J. Geophys. Res. 102, 13,409-13,421.

    Google Scholar 

  • Lai, C. T., Katul, G., Orem, R., Ellsworth, D., and Schafer, K.: 2000, 'Modelling CO2 and Water Vapor Turbulent Flux Distributions within a Rorest Canopy', J. Geophys. Res. 105, 26,333-26,351.

    Google Scholar 

  • Law, B. E., Baldocchi, D. D., and Anthoni, P. M.: 1999, 'Below-Canopy and Soil CO2 Fluxes in a Ponderosa Pine Forest', Agric. For. Meteorol. 94, 171-188.

    Google Scholar 

  • Leclerc, M. Y., Thurtell, G. W., and Kidd, G. E.: 1988, 'Measurements and Langevin Simulations of Mean Tracer Concentration Fields Downwind from a Circular Line Source inside an Alfalfa Canopy', Boundary-Layer Meteorol. 43, 287-308.

    Google Scholar 

  • Lee, X. H: 1998, 'On Micrometeorological Observations of the Surface-Air Exchange over Tall Vegetation', Agric. For. Meteorol. 91, 39-49.

    Google Scholar 

  • 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.

    Google Scholar 

  • Malhi, Y, Nobre, A. D., Grace, J. G., Kruijt, B., Pereira, M. G. P., Culf, A., and Scott, S.: 1998, 'Carbon Dioxide Transfer over a Central Amazonian Rain Forest', J. Geophys. Res. 103, 31,593-31,612.

    Google Scholar 

  • 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.

    Google Scholar 

  • Meyers, T. and Paw U, K. T.: 1987, 'Modelling the Plant Canopy Micrometeorology with Higher-Order Closure Principles', Agric. For. Meteorol. 41, 143-163.

    Google Scholar 

  • Potosnak, M., Wofsy, S. C., Denning, A. S., Conway, T. J., Munger, J. W., and Barnes, D. H.: 1999, 'Influence of Biotic Exchange and Combustion Sources on Atmospheric CO2 Concentrations in New England from Observations at a Forest Flux Tower', J. Geophys. Res. 104, 9561-9569.

    Google Scholar 

  • Rannik, U.: 1998, 'On the Surface Similarity at a Complex Forest Site', J. Geophys. Res. 103, 8685-8697.

    Google Scholar 

  • Raupach, M. R.: 1989a, 'Applying Lagrangian Fluid Mechanics to Infer Scalar Source Distributions from Concentration Profiles in Plant Canopies', Agric. For. Meteorol. 47, 85-108.

    Google Scholar 

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

    Google Scholar 

  • Raupach, M. R.: 1988, 'Canopy Transport Processes, in W. L. Steffen and O. T. Denmead (eds.), Flow and Transport in the Natural Environment, Springer-Verlag, New York, pp. 95-127.

    Google Scholar 

  • Raupach, M. R. and Shaw, R. H.: 1982, 'Averaging Procedures for Flow within Vegetation Canopies', Boundary-Layer Meteorol. 22, 79-90.

    Google Scholar 

  • Raupach, M. R., Denmead, O. T., and Dunin, F. X.: 1992, 'Challenges in Linking Atmospheric CO2 Concentrations to Fluxes at Local and Regional Scales', Aust. J. Bot. 40, 697-716.

    Google Scholar 

  • Simpson, I. J., Thurtell, G. W., Neumann, H. H., Den Hartog, G., and Edwards, G. C.: 1998, 'The Validity of Similarity Theory in the Roughness Sublayer above Forest', Boundary-Layer Meteorol. 87, 69-99.

    Google Scholar 

  • Siqueira, M., Lai, C. T., and Katul, G.: 2000, 'Estimating Scalar Sources, Sinks, and Fluxes in a Forest Canopy Using Lagrangian, Eulerian, and Hybrid Inverse Models', J. Geophys. Res. 105, 29,475-29,488.

    Google Scholar 

  • Vermetten, A.W. M., Ganzeveld, L., Jeuken, A., Hofschreuder, P., and Mohren, G.M. J.: 1994, 'CO2 Uptake by a Stand of Douglas-Fir-Flux Measurements Compared with Model-Calculations', Agric. For. Meteorol. 72, 57-80.

    Google Scholar 

  • Warland, J. S. and Thurtell, G. W.: 2000, 'A Lagrangian Solution to the Relationship between a Distributed Source and Concentration Profile', Boundary-Layer Meteorol. 96, 453-471.

    Google Scholar 

  • Wilson, J. D.: 1988, 'A Second Order Closure Model for Flow through Vegetation', Boundary-Layer Meteorol. 42, 371-392.

    Google Scholar 

  • Wilson, N. R. and Shaw, R. H.: 1977, 'A Higher Order Closure Model for Canopy Flow', J. Appl. Meteorol. 16, 1198-1205.

    Google Scholar 

  • Wofsy, S. C., Goulden, M. L., Munger, J. W., Fan, S. M., Bakwin, P. S., Daube, B. C., Bassow, S. L., and Bazzaz, F. A.: 1993, 'Net Exchange of CO2 in a Mid-Latitude Forest', Science 260, 1314-1317.

    Google Scholar 

  • Wright J. L. and Brown, K. W.: 1967, 'Comparison of Momentum and Energy Balance Methods of Computing Vertical Transfer within a Crop', Agron. J. 59, 427-432.

    Google Scholar 

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Authors and Affiliations

  1. Nicholas School of the Environment and Earth Sciences, Duke University, Durham, Box 90328, North Carolina, 27708-0328

    Mario Siqueira & Gabriel Katul

  2. Civil and Environmental Engineering, Duke University, Durham, North Carolina, U.S.A.

    Mario Siqueira

  3. Civil and Environmental Engineering, Duke University, Durham, North Carolina, U.S.A

    Gabriel Katul

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  1. Mario Siqueira
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  2. Gabriel Katul
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Correspondence to Mario Siqueira.

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Siqueira, M., Katul, G. Estimating Heat Sources And Fluxes In Thermally Stratified Canopy Flows Using Higher-Order Closure Models. Boundary-Layer Meteorology 103, 125–142 (2002). https://doi.org/10.1023/A:1014526305879

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