Footprint modeling for vegetation atmosphere exchange studies: a review and perspective

[1]  A. Leonard Energy Cascade in Large-Eddy Simulations of Turbulent Fluid Flows , 1975 .

[2]  Larry Mahrt,et al.  The bulk aerodynamic formulation over heterogeneous surfaces , 1996 .

[3]  K. S. Rao Effect of thermal stratification on the growth of the internal boundary layer , 1975 .

[4]  D. Stannard A THEORETICALLY BASED DETERMINATION OF BOWEN-RATIO FETCH REQUIREMENTS , 1997 .

[5]  A Two-Dimensional Lagrangian Stochastic Dispersion Model for Convective Boundary Layers with Wind Shear , 1998 .

[6]  Larry Mahrt,et al.  Grid-Averaged Surface Fluxes , 1987 .

[7]  H. Haenel,et al.  Footprint Analysis: A Closed Analytical Solution Based On Height-Dependent Profiles Of Wind Speed And Eddy Viscosity , 1999 .

[8]  F. Pasquill,et al.  Some aspects of boundary layer description , 1972 .

[9]  Albert A. M. Holtslag,et al.  Scaling the atmospheric boundary layer , 1986 .

[10]  Hans Peter Schmid,et al.  Measurements of CO2 and energy fluxes over a mixed hardwood forest in the mid-western United States , 2000 .

[11]  M. Claussen Subgrid-scale fluxes and flux divergences in a neutrally stratified, horizontally inhomogeneous surface-layer , 1989 .

[12]  D. Baldocchi Flux Footprints Within and Over Forest Canopies , 1997 .

[13]  T. W. Horst The Footprint for Estimation of Atmosphere-Surface Exchange Fluxes by Profile Techniques , 1999 .

[14]  L. Hildemann,et al.  Analytical solutions of the atmospheric diffusion equation with multiple sources and height-dependent wind speed and eddy diffusivities , 1996 .

[15]  Monique Y. Leclerc,et al.  Footprint prediction of scalar fluxes from analytical solutions of the diffusion equation , 1990 .

[16]  Frans T. M. Nieuwstadt,et al.  Random walk models for particle displacements in inhomogeneous unsteady turbulent flows , 1985 .

[17]  Karl K. Sabelfeld,et al.  Lagrangian Stochastic Models For Turbulent Dispersion In The Atmospheric Boundary Layer , 2000 .

[18]  K. S. Rao,et al.  Source Footprint Analysis for Scalar Fluxes Measured in Flows over an Inhomogeneous Surface , 1994 .

[19]  J. Gash,et al.  A note on estimating the effect of a limited fetch on micrometeorological evaporation measurements , 1986 .

[20]  P. Mason Large‐eddy simulation: A critical review of the technique , 1994 .

[21]  T. Oke,et al.  Spatial variability of energy fluxes in suburban terrain , 1991 .

[22]  Eugene Yee,et al.  Backward-Time Lagrangian Stochastic Dispersion Models and Their Application to Estimate Gaseous Emissions , 1995 .

[23]  T. W. Horst,et al.  Experimental evaluation of analytical and Lagrangian surface-layer flux footprint models , 1996 .

[24]  F. T. M. Nieuwstadt,et al.  A large eddy simulation of buoyant and non-buoyant plume dispersion in the atmospheric boundary layer , 1987 .

[25]  Hans Peter Schmid,et al.  Experimental design for flux measurements: matching scales of observations and fluxes , 1997 .

[26]  J. Finnigan,et al.  A comment on the paper by Lee (1998): “On micrometeorological observations of surface-air exchange over tall vegetation” , 1999 .

[27]  G. Katul,et al.  An approximate analytical model for footprint estimation of scalar fluxes in thermally stratified atmospheric flows , 2000 .

[28]  Dennis Baldocchi,et al.  On Measuring Net Ecosystem Carbon Exchange Over Tall Vegetation on Complex Terrain , 2000, Boundary-Layer Meteorology.

[29]  Mathias W. Rotach,et al.  A two-dimensional Lagrangian stochastic dispersion model for daytime conditions , 1996 .

[30]  J. Finnigan Turbulence in plant canopies , 2000 .

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

[32]  Spatial scales of sensible heat flux variability : representativeness of flux measurements and surface layer structure over suburban terrain , 1988 .

[33]  John D. Wilson An approximate analytical solution to the diffusion equation for short-range dispersion from a continuous ground-level source , 1982 .

[34]  R. Shaw,et al.  Turbulent Statistics of Neutrally Stratified Flow Within and Above a Sparse Forest from Large-Eddy Simulation and Field Observations , 1998 .

[35]  T. W. Horst,et al.  Footprint estimation for scalar flux measurements in the atmospheric surface layer , 1992 .

[36]  P. Mason Atmospheric boundary layer flows: Their structure and measurement , 1995 .

[37]  H. Schmid Source areas for scalars and scalar fluxes , 1994 .

[38]  S. Schwartz,et al.  Precipitation scavenging and atmosphere-surface exchange , 1992 .

[39]  M. Raupach,et al.  Markov-chain simulation of particle dispersion in inhomogeneous flows: The mean drift velocity induced by a gradient in Eulerian velocity variance , 1982 .

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

[41]  B. Lamb,et al.  Observations and large-eddy simulation modeling of footprints in the lower convective boundary layer , 1997 .

[42]  A. V. Ulden,et al.  Simple estimates for vertical diffusion from sources near the ground , 1978 .

[43]  R H Varey,et al.  Atmospheric Diffusion (3rd edn) , 1984 .

[44]  R. Cionco Analysis of canopy index values for various canopy densities , 1978 .

[45]  J. R. Garratt,et al.  The internal boundary layer — A review , 1990 .

[46]  Xuhui Lee,et al.  On micrometeorological observations of surface-air exchange over tall vegetation , 1998 .

[47]  Thomas W. Hors Lagrangian Similarity Modeling of Vertical Diffusion from a Ground-Level Source , 1979 .

[48]  Sven-Erik Gryning,et al.  Dispersion from a continuous ground‐level source investigated by a K model , 1983 .

[49]  Tiina Markkanen,et al.  Footprint Analysis For Measurements Over A Heterogeneous Forest , 2000 .

[50]  Duane A. Haugen,et al.  Workshop on Micrometeorology , 1973 .

[51]  O. Sutton,et al.  The problem of diffusion in the lower atmosphere , 1947 .

[52]  W. Elliott,et al.  The growth of the atmospheric internal boundary layer , 1958 .

[53]  N. Kljun Footprint Determination in Stable to Convective Stratification Using an Inverse 3D Lagrangian Particle Model , 2000 .

[54]  B. Sawford,et al.  Lagrangian Stochastic Analysis of Flux-Gradient Relationships in the Convective Boundary Layer , 1987 .

[55]  Jeffrey Weil,et al.  A Diagnosis of the Asymmetry in Top-Down and Bottom-Up Diffusion Using a Lagrangian Stochastic Model , 1990 .

[56]  Rex Britter,et al.  A random walk model for dispersion in inhomogeneous turbulence in a convective boundary layer , 1989 .

[57]  J. Deardorff,et al.  On the use of Taylor's translation hypothesis for diffusion in the mixed layer , 1976 .

[58]  Reply To The Comment On `Footprint Analysis: A Closed Analytical Solution Based On Height-Dependent Profiles Of Wind Speed And Eddy Viscosity’ By T. W. Horst , 2001 .

[59]  Thomas K. Flesch The footprint for flux measurements, from backward Lagrangian stochastic models , 1996 .

[60]  John S. Irwin,et al.  Applied dispersion modelling based on meteorological scaling parameters , 1987 .

[61]  A. Tuzet,et al.  Land Surface Processes: Description, Theoretical Approaches, and Physical Laws Underlying Their Measurements , 1991 .

[62]  J. William Munger,et al.  Measurements of carbon sequestration by long‐term eddy covariance: methods and a critical evaluation of accuracy , 1996 .

[63]  J. Deardorff,et al.  A laboratory study of dispersion from an elevated source within a modeled convective planetary boundary layer , 1978 .

[64]  Thomas J. Schmugge,et al.  Land surface evaporation : measurement and parameterization , 1991 .

[65]  C. Moeng A Large-Eddy-Simulation Model for the Study of Planetary Boundary-Layer Turbulence , 1984 .

[66]  Hans Peter Schmid,et al.  Measurements of CO 2 and energy fluxes over a mixed hardwood forest in the mid-western United States , 2000 .

[67]  John D. Wilson,et al.  Review of Lagrangian stochastic models for trajectories in the turbulent atmosphere , 1996 .

[68]  N. Kljun A Lagrangian Footprint Model for Stratifications Ranging from Stable to Convective , 2000 .

[69]  E. W. Peterson,et al.  Modification of mean flow and turbulent energy by a change in surface roughness under conditions of neutral stability , 1969 .

[70]  Jørgen Højstrup,et al.  A simple model for the adjustment of velocity spectra in unstable conditions downstream of an abrupt change in roughness and heat flux , 1981 .

[71]  Monique Y. Leclerc,et al.  Footprint prediction of scalar fluxes using a Markovian analysis , 1990 .

[72]  John Kim,et al.  Rough-Wall Turbulent Boundary Layers , 2004 .

[73]  P. Cellier,et al.  Flux-gradient relationships above tall plant canopies , 1992 .

[74]  T. Flesch,et al.  Flow Boundaries in Random-Flight Dispersion Models: Enforcing the Well-Mixed Condition , 1993 .

[75]  G. Swaters,et al.  The source area influencing a measurement in the Planetary Boundary Layer: The “footprint” and the “distribution of contact distance” , 1991 .

[76]  T. Meyers,et al.  Correction Of Eddy-Covariance Measurements Incorporating Both Advective Effects And Density Fluxes , 2000, Boundary-Layer Meteorology.

[77]  R. Kormann,et al.  An Analytical Footprint Model For Non-Neutral Stratification , 2001 .

[78]  M. Hadfield Passive scalar diffusion from surface sources in the convective boundary layer , 1994 .

[79]  F. B. Smith The diffusion of smoke from a continuous elevated point-source into a turbulent atmosphere , 1957, Journal of Fluid Mechanics.

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

[81]  G. Katul,et al.  The Lagrangian Stochastic Model for fetch and latent heat flux estimation above uniform and nonuniform terrain , 1997 .

[82]  T. W. Horst,et al.  How Far is Far Enough?: The Fetch Requirements for Micrometeorological Measurement of Surface Fluxes , 1994 .

[83]  Z. Uchijima,et al.  The Energy Budget at the Earth's Surface: An Experimental Study of Air Flow in a Corn Plant-Air Layer. , 1963 .

[84]  H. C. Rodean Stochastic Lagrangian Models of Turbulent Diffusion , 1996 .

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

[86]  Hans Peter Schmid,et al.  A model to estimate the source area contributing to turbulent exchange in the surface layer over patchy terrain , 1990 .