Evaluation of the importance of Lagrangian canopy turbulence formulations in a soil–plant–atmosphere model

Abstract The suitability of using K-theory to describe turbulent transfer within plant canopies was evaluated with field measurements and simulations of a detailed soil–plant–atmosphere model (Cupid). Simulated results with both K-theory and an analytical Lagrangian theory (L-theory) implemented in Cupid were evaluated against Bowen-ratio energy balance measurements and the temperature profiles in potato canopies. There was no difference between K- and L-theory in terms of simulating E, H and CO2 fluxes over the canopy. The model slightly underestimated measured E by 3–8%; the comparison of H contained much scatter and the model slightly overestimated CO2 flux. When the model was tested by simulating temperature and vapor pressure profiles within the canopy, the difference between the K- and L-theory was much smaller than the difference between each theory and the measurements. From simulated temperature profiles, the near-field correction provided by using L-theory seemed to be significant in canopies where the foliage is concentrated in the upper part, but appeared unnecessary for foliage distributed throughout the canopy depth. The major difference between K- and L-theory was in simulations of canopy radiometric temperature; with foliage distributed through out the depth of the canopy, K-theory consistently predicted higher canopy radiometric temperatures than L-theory by 2–8 °C, depending on leaf area index. More systematic study is required to determine if K-theory or L-theory is inadequate for remote sensing of radiometric temperature of canopies.

[1]  A. Dolman,et al.  Lagrangian and K-theory approaches in modelling evaporation from sparse canopies , 1991 .

[2]  J. Norman,et al.  Measurement and simulation of dew accumulation and drying in a potato canopy , 1999 .

[3]  R. Leuning,et al.  Estimation of Scalar Source/Sink Distributions in Plant Canopies Using Lagrangian Dispersion Analysis: Corrections for Atmospheric Stability and Comparison with a Multilayer Canopy Model , 2000, Boundary-Layer Meteorology.

[4]  E. F. Bradley,et al.  Flux-Gradient Relationships in a Forest Canopy , 1985 .

[5]  M. Raupach,et al.  Inferring Biogeochemical Sources and Sinks from Atmospheric Concentrations: General Considerations and Applications in Vegetation Canopies , 2001 .

[6]  D. Baldocchi A lagrangian random-walk model for simulating water vapor, CO2 and sensible heat flux densities and scalar profiles over and within a soybean canopy , 1992 .

[7]  E. F. Bradley,et al.  Flux-Profile Relationships in the Atmospheric Surface Layer , 1971 .

[8]  B. Hurk,et al.  Implementation of near-field dispersion in a simple two-layer surface resistance model , 1995 .

[9]  E. F. Bradley,et al.  On Scalar Transport in Plant Canopies , 1987, Irrigation Science.

[10]  N. Wilson,et al.  A Higher Order Closure Model for Canopy Flow , 1977 .

[11]  Martha C. Anderson,et al.  An analytical model for estimating canopy transpiration and carbon assimilation fluxes based on canopy light-use efficiency , 2000 .

[12]  John M. Norman,et al.  Measurement of heat and vapor transfer coefficients at the soil surface beneath a maize canopy using source plates , 1995 .

[13]  J. Norman,et al.  Evaluation of soil and vegetation heat flux predictions using a simple two-source model with radiometric temperatures for partial canopy cover , 1999 .

[14]  J. Norman,et al.  CO2 response curves can be measured with a field-portable closed-loop photosynthesis system , 1989 .

[15]  R. Loomis,et al.  Modeling crop photosynthesis - from biochemistry to canopy. , 1991 .

[16]  Michael R. Raupach,et al.  A practical Lagrangian method for relating scalar concentrations to source distributions in vegetation canopies , 1989 .

[17]  J. Norman SIMULATION OF MICROCLIMATES , 1982 .

[18]  M. Raupach Canopy Transport Processes , 1988 .

[19]  J. Norman,et al.  Source approach for estimating soil and vegetation energy fluxes in observations of directional radiometric surface temperature , 1995 .

[20]  W. Steffen,et al.  Flow and transport in the natural environment : advances and applications , 1990 .

[21]  J. Norman,et al.  Correcting eddy-covariance flux underestimates over a grassland , 2000 .

[22]  K. G. McNaughton,et al.  A ‘Lagrangian’ revision of the resistors in the two-layer model for calculating the energy budget of a plant canopy , 1995 .

[23]  Gaylon S. Campbell,et al.  Soil physics with BASIC :transport models for soil-plant systems , 1985 .

[24]  J. Norman,et al.  Terminology in thermal infrared remote sensing of natural surfaces , 1995 .

[25]  C. B. Tanner,et al.  Estimating Evaporation and Transpiration from a Row Crop during Incomplete Cover1 , 1976 .

[26]  S. Corrsin,et al.  Estimates of the Relations between Eulerian and Lagrangian Scales in Large Reynolds Number Turbulence , 1963 .

[27]  J. M. Norman,et al.  Application of a Plant-Environment Model to Problems in Irrigation , 1983 .

[28]  J. Norman,et al.  Evaporation from cranberry , 1996 .

[29]  John L. Monteith,et al.  Vegetation and the atmosphere , 1975 .

[30]  Dennis D. Baldocchi,et al.  On measuring and modeling energy fluxes above the floor of a homogeneous and heterogeneous conifer forest , 2000 .

[31]  Tilden P. Meyers,et al.  Modelling the plant canopy micrometeorology with higher-order closure principles , 1987 .

[32]  C. Priestley,et al.  On the Assessment of Surface Heat Flux and Evaporation Using Large-Scale Parameters , 1972 .

[33]  John D. Wilson,et al.  Review of Lagrangian Stochastic Models for Trajectories in the Turbulent Atmosphere , 1996 .

[34]  William P. Kustas,et al.  An intercomparison study on models of sensible heat flux over partial canopy surfaces with remotely sensed surface temperature , 1996 .

[35]  J. Norman,et al.  Simulated canopy microclimate using estimated below-canopy soil surface transfer coefficients , 1995 .

[36]  G. Szeicz,et al.  Aerodynamic and surface factors in evaporation , 1969 .

[37]  Daniel Hillel,et al.  Advances in irrigation , 1982 .

[38]  D. Thomson Criteria for the selection of stochastic models of particle trajectories in turbulent flows , 1987, Journal of Fluid Mechanics.

[39]  J. Finnigan,et al.  Coherent eddies and turbulence in vegetation canopies: The mixing-layer analogy , 1996 .

[40]  B. Hicks,et al.  The Forest-Atmosphere Interaction , 1985 .

[41]  Norman J. Rosenberg,et al.  Lysimetric Calibration of the Bowen Ratio-Energy Balance Method for Evapotranspiration Estimation in the Central Great Plains , 1974 .

[42]  B. Barfield,et al.  Modification of the aerial environment of plants , 1979 .

[43]  G. W. Thurtell,et al.  Numerical simulation of particle trajectories in inhomogeneous turbulence, I: Systems with constant turbulent velocity scale , 1981 .

[44]  J. M. Norman,et al.  Soil surface CO2 fluxes and the carbon budget of a grassland , 1992 .

[45]  G. W. Thurtell,et al.  A Lagrangian Solution To The Relationship Between A Distributed Source And Concentration Profile , 2000 .

[46]  M. Raupach Applying Lagrangian fluid mechanics to infer scalar source distributions from concentration profiles in plant canopies , 1989 .

[47]  John H. Prueger,et al.  Bowen‐Ratio Comparisons with Lysimeter Evapotranspiration , 1997 .

[48]  G. D. Bubenzer,et al.  Specification of center-pivot irrigation based on load-control constraints , 1997 .