Flux and concentration footprint modelling: State of the art

Vesala, T.; Kljun, N.; Rannik, Ü.; Rinne, J.; Sogachev, A.; Markkanen, T.; Sabelfeld, K.; Foken, Th; Leclerc, M. Y.

doi:10.1016/j.envpol.2007.06.070

Flux and concentration footprint modelling: State of the art

Journal Article · Tue Apr 01 00:00:00 EDT 2008 · Environmental Pollution

DOI:https://doi.org/10.1016/j.envpol.2007.06.070· OSTI ID:929554

Vesala, T. ^[1]; Kljun, N.; Rannik, Ü.; Rinne, J.; Sogachev, A.; Markkanen, T.; Sabelfeld, K.; Foken, Th; Leclerc, M. Y.

The University of Georgia

Since early 1990s, the development of footprint models has been rapid with presently four different approaches being available: (i) analytical models, (ii) Lagrangian stochastic particle dispersion models, (iii) large-eddy simulations, and (iv) closure models. Parameterizations of some of these approaches have been developed, simplifying the original algorithms for use in practical applications. The paper provides a review of the footprint modelling. It also discusses our present understanding of the theoretical background, the most successful modelling approaches, as well as the usage and benefits of the footprint concept as it relates to flux measurements. There has recently been a trend emerging in modelling the behavior of the footprint functions using a less idealized, more realistic description of inhomogeneities, vegetation structure and topography, ultimately for reactive compounds. The estimation of footprints for application in the real world, complete with a multitude of interesting gaseous and particulate substances, remains a complex problem. The estimation of footprints for the real world with a multitude of interesting gaseous and particulate substances remains a complex problem.

Research Organization:: Univ. of Georgia, Athens, GA (United States)

Sponsoring Organization:: USDOE - Office of Energy Research (ER)

DOE Contract Number:: FG02-00ER63024

OSTI ID:: 929554

Report Number(s):: ER63024-14

Journal Information:: Environmental Pollution, Journal Name: Environmental Pollution Journal Issue: 3 Vol. 152; ISSN 0269-7491

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

References (80)

Stochastic Lagrangian footprint calculations over a surface with an abrupt change of roughness height Kurbanmuradov, O.; Levykin, A.; Rannik, U. Monte Carlo Methods and Applications, Vol. 9, Issue 2 https://doi.org/10.1515/156939603322663330	journal	January 2003
Turbulence Statistics Inside and Over Forest: Influence on Footprint Prediction Rannik, Ü.; Markkanen, T.; Raittila, J. Boundary-Layer Meteorology, Vol. 109, Issue 2 https://doi.org/10.1023/A:1025404923169	journal	November 2003
Using a One-and-a-Half Order Closure Model of the Atmospheric Boundary Layer for Surface Flux Footprint Estimation Sogachev, Andrey; Lloyd, Jon Boundary-Layer Meteorology, Vol. 112, Issue 3 https://doi.org/10.1023/B:BOUN.0000030664.52282.ee	journal	September 2004
The footprint concept in complex terrain Finnigan, John Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.008	journal	December 2004
Experimental design for flux measurements: matching scales of observations and fluxes Schmid, H. P. Agricultural and Forest Meteorology, Vol. 87, Issue 2-3 https://doi.org/10.1016/S0168-1923(97)00011-7	journal	November 1997
Flux and concentration footprints Vesala, Timo; Rannik, Üllar; Leclerc, Monique Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.007	journal	December 2004
A Three-Dimensional Backward Lagrangian Footprint Model For A Wide Range Of Boundary-Layer Stratifications Kljun, N.; Rotach, M. W.; Schmid, H. P. Boundary-Layer Meteorology, Vol. 103, Issue 2 https://doi.org/10.1023/A:1014556300021	journal	May 2002
Upscaling fluxes from tower to landscape: Overlaying flux footprints on high-resolution (IKONOS) images of vegetation cover Kim, J.; Guo, Q.; Baldocchi, D. Agricultural and Forest Meteorology, Vol. 136, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.11.015	journal	February 2006
Use of remotely sensed land use classification for a better evaluation of micrometeorological flux measurement sites Reithmaier, L. M.; Göckede, M.; Markkanen, T. Theoretical and Applied Climatology, Vol. 84, Issue 4 https://doi.org/10.1007/s00704-005-0168-6	journal	September 2005
Observations and large‐eddy simulation modeling of footprints in the lower convective boundary layer Leclerc, Monique Y.; Shen, Shaohua; Lamb, Brian Journal of Geophysical Research: Atmospheres, Vol. 102, Issue D8 https://doi.org/10.1029/96JD03984	journal	April 1997
Methods of estimating CO2, latent heat and sensible heat fluxes from estimates of land cover fractions in the flux footprint Ogunjemiyo, Segun O.; Kaharabata, Samuel K.; Schuepp, Peter H. Agricultural and Forest Meteorology, Vol. 117, Issue 3-4 https://doi.org/10.1016/S0168-1923(03)00061-3	journal	July 2003
Evaluation of mean concentration and fluxes in turbulent flows by Lagrangian stochastic models Kurbanmuradov, O.; Rannik, Ü; Sabelfeld, K. Mathematics and Computers in Simulation, Vol. 54, Issue 6 https://doi.org/10.1016/S0378-4754(00)00273-1	journal	January 2001
Landfill odour: assessment of emissions by the flux footprint method Sarkar, Ujjaini; Hobbs, Stephen. E. Environmental Modelling & Software, Vol. 18, Issue 2 https://doi.org/10.1016/S1364-8152(02)00071-3	journal	March 2003
Modelling the turbulence structure in the canopy layer Shen, Shaohua; Leclerc, Monique Y. Agricultural and Forest Meteorology, Vol. 87, Issue 1 https://doi.org/10.1016/S0168-1923(97)00008-7	journal	November 1997
Review of Lagrangian stochastic models for trajectories in the turbulent atmosphere Wilson, John D.; Sawford, Brian L. Boundary-Layer Meteorology, Vol. 78, Issue 1-2 https://doi.org/10.1007/BF00122492	journal	February 1996
Source areas for scalars and scalar fluxes Schmid, H. P. Boundary-Layer Meteorology, Vol. 67, Issue 3 https://doi.org/10.1007/BF00713146	journal	January 1994
Footprint modeling for vegetation atmosphere exchange studies: a review and perspective Schmid, Hans Peter Agricultural and Forest Meteorology, Vol. 113, Issue 1-4 https://doi.org/10.1016/S0168-1923(02)00107-7	journal	December 2002
Fluxes and (co-)variances of reacting scalars in the convective boundary layer Vinuesa, Jean-Francois; De Arellano, Jordi Vila-Guerau Tellus B, Vol. 55, Issue 4 https://doi.org/10.1046/j.1435-6935.2003.00073.x	journal	September 2003
A combination of quality assessment tools for eddy covariance measurements with footprint modelling for the characterisation of complex sites Göckede, Mathias; Rebmann, Corinna; Foken, Thomas Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.012	journal	December 2004
A model for scalar advection inside canopies and application to footprint investigation Lee, Xuhui Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.009	journal	December 2004
A Parameterization of Heterogeneous Land Surfaces for Atmospheric Numerical Models and Its Impact on Regional Meteorology Avissar, R.; Pielke, R. A. Monthly Weather Review, Vol. 117, Issue 10 https://doi.org/10.1175/1520-0493(1989)117<2113:APOHLS>2.0.CO;2	journal	October 1989
Turbulent Statistics of Neutrally Stratified Flow Within and Above a Sparse Forest from Large-Eddy Simulation and Field Observations Su, Hong-Bing; Shaw, Roger H.; Paw, Kyaw Tha Boundary-Layer Meteorology, Vol. 88, Issue 3 https://doi.org/10.1023/A:1001108411184	journal	September 1998
Carbon dioxide exchange over agricultural landscape using eddy correlation and footprint modelling Soegaard, H. Agricultural and Forest Meteorology, Vol. 114, Issue 3-4 https://doi.org/10.1016/S0168-1923(02)00177-6	journal	January 2003
Footprint climatologies for evapotranspiration in a boreal catchment Amiro, B. D. Agricultural and Forest Meteorology, Vol. 90, Issue 3 https://doi.org/10.1016/S0168-1923(97)00096-8	journal	April 1998
A Markov-chain particle dispersion model based on air flow data: Extension to large water droplets Walklate, P. J. Boundary-Layer Meteorology, Vol. 37, Issue 3 https://doi.org/10.1007/BF00122992	journal	November 1986
Update of a Footprint-Based Approach for the Characterisation of Complex Measurement Sites Göckede, Mathias; Markkanen, Tiina; Hasager, Charlotte B. Boundary-Layer Meteorology, Vol. 118, Issue 3 https://doi.org/10.1007/s10546-005-6435-3	journal	March 2006
Flux Footprints Within and Over Forest Canopies Baldocchi, Dennis Boundary-Layer Meteorology, Vol. 85, Issue 2 https://doi.org/10.1023/A:1000472717236	journal	November 1997
A Two-Dimensional Lagrangian Stochastic Dispersion Model for Convective Boundary Layers with Wind Shear Reynolds, A. M. Boundary-Layer Meteorology, Vol. 86, Issue 2 https://doi.org/10.1023/A:1000621401641	journal	February 1998
Passive scalar diffusion from surface sources in the convective boundary layer Hadfield, M. G. Boundary-Layer Meteorology, Vol. 69, Issue 4 https://doi.org/10.1007/BF00718128	journal	June 1994
Increased heat fluxes near a forest edge Klaassen, W.; Breugel, P. B. van; Moors, E. J. Theoretical and Applied Climatology, Vol. 72, Issue 3-4 https://doi.org/10.1007/s00704-002-0682-8	journal	September 2002
A Simple Parameterisation for Flux Footprint Predictions Kljun, N.; Calanca, P.; Rotach, M. W. Boundary-Layer Meteorology, Vol. 112, Issue 3 https://doi.org/10.1023/B:BOUN.0000030653.71031.96	journal	September 2004
Comparison of the Langrangian Footprint Kljun, N.; Kormann, R.; Rotach, M. W. Boundary-Layer Meteorology, Vol. 106, Issue 2 https://doi.org/10.1023/A:1021141223386	journal	February 2003
An Analytical Footprint Model For Non-Neutral Stratification Kormann, Robert; Meixner, Franz X. Boundary-Layer Meteorology, Vol. 99, Issue 2 https://doi.org/10.1023/A:1018991015119	journal	May 2001
Fetch and Footprint of Turbulent Fluxes over Vegetative Stands with Elevated Sources Lee, Xuhui Boundary-Layer Meteorology, Vol. 107, Issue 3 https://doi.org/10.1023/A:1022819907480	journal	June 2003
Footprint considerations in BOREAS Kaharabata, S. K.; Schuepp, P. H.; Ogunjemiyo, S. Journal of Geophysical Research: Atmospheres, Vol. 102, Issue D24 https://doi.org/10.1029/97JD02559	journal	December 1997
Comparison between measured tracer fluxes and footprint model predictions over a homogeneous canopy of intermediate roughness Leclerc, M. Y.; Meskhidze, N.; Finn, D. Agricultural and Forest Meteorology, Vol. 117, Issue 3-4 https://doi.org/10.1016/S0168-1923(03)00043-1	journal	July 2003
Spectral Analysis of Large-Eddy Simulations of the Convective Boundary Layer Moeng, Chin-Hoh; Wyngaard, John C. Journal of the Atmospheric Sciences, Vol. 45, Issue 23 https://doi.org/10.1175/1520-0469(1988)045<3573:SAOLES>2.0.CO;2	journal	December 1988
Reactive hydrocarbon flux footprints during canopy senescence Strong, C.; Fuentes, J. D.; Baldocchi, D. Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.011	journal	December 2004
Transport and chemical transformations influenced by shallow cumulus over land Vilà-Guerau de Arellano, J.; Kim, S. -W.; Barth, M. C. Atmospheric Chemistry and Physics, Vol. 5, Issue 12 https://doi.org/10.5194/acp-5-3219-2005	journal	January 2005
Hydrocarbon fluxes above a Scots pine forest canopy: measurements and modeling Rinne, J.; Taipale, R.; Markkanen, T. Atmospheric Chemistry and Physics, Vol. 7, Issue 12 https://doi.org/10.5194/acp-7-3361-2007	journal	January 2007
The source area influencing a measurement in the Planetary Boundary Layer: The ?footprint? and the ?distribution of contact distance? Wilson, J. D.; Swaters, G. E. Boundary-Layer Meteorology, Vol. 55, Issue 1-2 https://doi.org/10.1007/BF00119325	journal	April 1991
An approximate analytical model for footprint estimation of scalar fluxes in thermally stratified atmospheric flows Hsieh, Cheng-I; Katul, Gabriel; Chi, Tze-wen Advances in Water Resources, Vol. 23, Issue 7 https://doi.org/10.1016/S0309-1708(99)00042-1	journal	June 2000
Lagrangian Stochastic Models For Turbulent Dispersion In The Atmospheric Boundary Layer Kurbanmuradov, O.; Sabelfeld, K. Boundary-Layer Meteorology, Vol. 97, Issue 2 https://doi.org/10.1023/A:1002701813926	journal	November 2000
Direct and Adjoint Monte Carlo Algorithms for the Footprint Problem Kurbanmuradov, O.; Rannik, U.; Sabelfeld, K. Monte Carlo Methods and Applications, Vol. 5, Issue 2 https://doi.org/10.1515/mcma.1999.5.2.85	journal	January 1999
Some aspects of boundary layer description Pasquill, F. Quarterly Journal of the Royal Meteorological Society, Vol. 98, Issue 417 https://doi.org/10.1002/qj.49709841702	journal	July 1972
Impact of non-local advection on flux footprints over a tall forest canopy: a tracer flux experiment Leclerc, M. Y.; Karipot, A.; Prabha, T. Agricultural and Forest Meteorology, Vol. 115, Issue 1-2 https://doi.org/10.1016/S0168-1923(02)00168-5	journal	February 2003
Footprints and Fetches for Fluxes over Forest Canopies with Varying Structure and Density Markkanen, Tiina; Rannik, Üllar; Marcolla, Barbara Boundary-Layer Meteorology, Vol. 106, Issue 3 https://doi.org/10.1023/A:1021261606719	journal	March 2003
Surface‐flux aggregation in heterogeneous terrain Hasager, C. B.; Jensen, N. O. Quarterly Journal of the Royal Meteorological Society, Vol. 125, Issue 558 https://doi.org/10.1002/qj.49712555808	journal	July 1999
One-Particle Stochastic Lagrangian Model for Turbulent Dispersion in Horizontally Homogeneous Turbulence Sabelfeld, K.; Kurbanmuradov, O. Monte Carlo Methods and Applications, Vol. 4, Issue 2 https://doi.org/10.1515/mcma.1998.4.2.127	journal	January 1998
Lagrangian Statistical Simulation of Concentration Mean and Fluctuation Fields Sawford, B. L. Journal of Climate and Applied Meteorology, Vol. 24, Issue 11 https://doi.org/10.1175/1520-0450(1985)024<1152:LSSOCM>2.0.CO;2	journal	November 1985
Backward-Time Lagrangian Stochastic Dispersion Models and Their Application to Estimate Gaseous Emissions Flesch, Thomas K.; Wilson, John D.; Yee, Eugene Journal of Applied Meteorology, Vol. 34, Issue 6 https://doi.org/10.1175/1520-0450(1995)034<1320:BTLSDM>2.0.CO;2	journal	June 1995
Modelling airborne concentration and deposition rate of maize pollen Jarosz, Nathalie; Loubet, Benjamin; Huber, Laurent Atmospheric Environment, Vol. 38, Issue 33 https://doi.org/10.1016/j.atmosenv.2004.06.027	journal	October 2004
Decaying Scalars Emitted By A Forest Canopy: A Numerical Study Patton, Edward G.; Davis, Kenneth J.; Barth, Mary C. Boundary-Layer Meteorology, Vol. 100, Issue 1 https://doi.org/10.1023/A:1019223515444	journal	July 2001
Footprint prediction of scalar fluxes using a Markovian analysis Leclerc, M. Y.; Thurtell, G. W. Boundary-Layer Meteorology, Vol. 52, Issue 3 https://doi.org/10.1007/BF00122089	journal	August 1990
The dispersion of chemically reactive species in the atmospheric boundary layer Vil�-Guerau de Arellano, J.; Dosio, A.; Vinuesa, J. -F. Meteorology and Atmospheric Physics, Vol. 87, Issue 1-3 https://doi.org/10.1007/s00703-003-0059-2	journal	June 2004
How large must surface inhomogeneities be before they influence the convective boundary layer structure? A case study Shen, Shaohua; Leclerc, Monique Y. Quarterly Journal of the Royal Meteorological Society, Vol. 121, Issue 526 https://doi.org/10.1002/qj.49712152603	journal	July 1995
Numerical analysis of flux footprints for different landscapes Sogachev, A.; Panferov, O.; Gravenhorst, G. Theoretical and Applied Climatology, Vol. 80, Issue 2-4 https://doi.org/10.1007/s00704-004-0098-8	journal	November 2004
Using a remote sensing field experiment to investigate flux-footprint relations and flux sampling distributions for tower and aircraft-based observations Kustas, William P.; Anderson, Martha C.; French, Andrew N. Advances in Water Resources, Vol. 29, Issue 2 https://doi.org/10.1016/j.advwatres.2005.05.003	journal	February 2006
Tools for quality assessment of surface-based flux measurements Foken, Th.; Wichura, B. Agricultural and Forest Meteorology, Vol. 78, Issue 1-2 https://doi.org/10.1016/0168-1923(95)02248-1	journal	January 1996
Modeling Long-Distance Dispersal of Plant Diaspores by wind Tackenberg, Oliver Ecological Monographs, Vol. 73, Issue 2 https://doi.org/10.1890/0012-9615(2003)073[0173:MLDOPD]2.0.CO;2	journal	May 2003
Large‐eddy simulation of small‐scale surface effects on the convective boundary‐layer structure Shen, Shaohua; Leclerc, Monique Y. Atmosphere-Ocean, Vol. 32, Issue 4 https://doi.org/10.1080/07055900.1994.9649519	journal	December 1994
Experimental analysis of flux footprint for varying stability conditions in an alpine meadow Marcolla, Barbara; Cescatti, Alessandro Agricultural and Forest Meteorology, Vol. 135, Issue 1-4 https://doi.org/10.1016/j.agrformet.2005.12.007	journal	December 2005
Quality analysis applied on eddy covariance measurements at complex forest sites using footprint modelling Rebmann, C.; Göckede, M.; Foken, T. Theoretical and Applied Climatology, Vol. 80, Issue 2-4 https://doi.org/10.1007/s00704-004-0095-y	journal	November 2004
How Far is Far Enough?: The Fetch Requirements for Micrometeorological Measurement of Surface Fluxes Horst, T. W.; Weil, J. C. Journal of Atmospheric and Oceanic Technology, Vol. 11, Issue 4 https://doi.org/10.1175/1520-0426(1994)011<1018:HFIFET>2.0.CO;2	journal	August 1994
Evaluation of Lagrangian footprint model using data from wind tunnel convective boundary layer Kljun, N.; Kastner-Klein, P.; Fedorovich, E. Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.013	journal	December 2004
Footprint estimation for scalar flux measurements in the atmospheric surface layer Horst, T. W.; Weil, J. C. Boundary-Layer Meteorology, Vol. 59, Issue 3 https://doi.org/10.1007/BF00119817	journal	May 1992
Experimental evaluation of analytical and Lagrangian surface-layer flux footprint models Finn, D.; Lamb, B.; Leclerc, M. Y. Boundary-Layer Meteorology, Vol. 80, Issue 3 https://doi.org/10.1007/BF00119546	journal	August 1996
Criteria for the selection of stochastic models of particle trajectories in turbulent flows Thomson, D. J. Journal of Fluid Mechanics, Vol. 180, Issue -1 https://doi.org/10.1017/S0022112087001940	journal	July 1987
A Large-Eddy-Simulation Model for the Study of Planetary Boundary-Layer Turbulence Moeng, Chin-Hoh Journal of the Atmospheric Sciences, Vol. 41, Issue 13 https://doi.org/10.1175/1520-0469(1984)041<2052:ALESMF>2.0.CO;2	journal	July 1984
Flux Footprint Simulation Downwind of a Forest Edge Klaassen, Wim; Sogachev, Andrey Boundary-Layer Meteorology, Vol. 121, Issue 3 https://doi.org/10.1007/s10546-006-9078-0	journal	May 2006
Footprint prediction of scalar fluxes from analytical solutions of the diffusion equation Schuepp, P. H.; Leclerc, M. Y.; MacPherson, J. I. Boundary-Layer Meteorology, Vol. 50, Issue 1-4 https://doi.org/10.1007/BF00120530	journal	March 1990
Effect of clearcuts on footprints and flux measurements above a forest canopy Sogachev, A.; Leclerc, M. Y.; Karipot, A. Agricultural and Forest Meteorology, Vol. 133, Issue 1-4 https://doi.org/10.1016/j.agrformet.2005.09.008	journal	November 2005
Footprint Analysis For Measurements Over A Heterogeneous Forest Rannik, Ü; Aubinet, M.; Kurbanmuradov, O. Boundary-Layer Meteorology, Vol. 97, Issue 1 https://doi.org/10.1023/A:1002702810929	journal	October 2000
Turbulence characteristics and dispersion in a forest—tests of Thomson's random-flight model Mölder, M.; Klemedtsson, L.; Lindroth, A. Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.014	journal	December 2004
Flux footprints over complex terrain covered by heterogeneous forest Sogachev, Andrey; Rannik, Üllar; Vesala, Timo Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.010	journal	December 2004
The footprint for flux measurements, from backward Lagrangian stochastic models Flesch, Thomas K. Boundary-Layer Meteorology, Vol. 78, Issue 3-4 https://doi.org/10.1007/BF00120943	journal	March 1996
Forward-in-time and Backward-in-time Dispersion in the Convective Boundary Layer: the Concentration Footprint Cai, Xuhui; Leclerc, Monique Y. Boundary-Layer Meteorology, Vol. 123, Issue 2 https://doi.org/10.1007/s10546-006-9141-x	journal	December 2006
Methods and limitations in validation of footprint models Foken, T.; Leclerc, M. Y. Agricultural and Forest Meteorology, Vol. 127, Issue 3-4 https://doi.org/10.1016/j.agrformet.2004.07.015	journal	December 2004
A note on estimating the effect of a limited fetch on micrometeorological evaporation measurements Gash, J. H. C. Boundary-Layer Meteorology, Vol. 35, Issue 4 https://doi.org/10.1007/BF00118567	journal	June 1986
CO2 efflux from agricultural soils in Eastern Germany – comparison of a closed chamber system with eddy covariance measurements Reth, S.; Göckede, M.; Falge, E. Theoretical and Applied Climatology, Vol. 80, Issue 2-4 https://doi.org/10.1007/s00704-004-0094-z	journal	November 2004

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54 ENVIRONMENTAL SCIENCES
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Flux and concentration footprint modelling: State of the art

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