Multiple Scattering Within the FLAIR Model Incorporating the Photon Recollision Probability Approach

In this paper, a combined approach based on the adding method is incorporated into the four-scale linear model for anisotropic reflectance (FLAIR) to enhance the description of the spectrally dependent multiple-scattered radiation field of a forest canopy. The proposed scheme is based on the decomposition of the multiple-scattered radiation field into two parts. The first part deals with multiple scattering within the canopy, considering a competently black soil, and the second part deals with multiple scattering between the canopy and the background. Such advances to radiative transfer modeling are required to better exploit the potential of hyperspectral remote sensing for monitoring canopy biochemical indicators such as chlorophyll concentration and equivalent water content. The validation was performed using the multiangular data sets obtained by the airborne sensor POLarization and Directionality of the Earth's Reflectances (POLDER) during the BOReal Ecosystem-Atmosphere Study (BOREAS) campaign of 1994. The results indicate that this approach is well suited to the FLAIR model. It is also demonstrated that the multiple-scattering problem can be parameterized by a limited number of architectural parameters and the leaf scattering coefficient.

[1]  P. Stenberg,et al.  Simple parameterizations of the radiation budget of uniform broadleaved and coniferous canopies , 2005 .

[2]  Sylvain G. Leblanc,et al.  Investigation of directional reflectance in boreal forests with an improved four-scale model and airborne POLDER data , 1999, IEEE Trans. Geosci. Remote. Sens..

[3]  Karl Staenz,et al.  Defining shaded spectra by model inversion for spectral unmixing of hyperspectral datasets - theory and preliminary application , 2002, IEEE International Geoscience and Remote Sensing Symposium.

[4]  A. Kuusk,et al.  A reflectance model for the homogeneous plant canopy and its inversion , 1989 .

[5]  Tiit Nilson,et al.  A forest canopy reflectance model and a test case , 1991 .

[6]  P. Curran,et al.  LIBERTY—Modeling the Effects of Leaf Biochemical Concentration on Reflectance Spectra , 1998 .

[7]  F. Baret,et al.  PROSPECT: A model of leaf optical properties spectra , 1990 .

[8]  Matti Mõttus.  Photon recollision probability in discrete crown canopies , 2007 .

[9]  J. Ross.  The radiation regime and architecture of plant stands , 1981, Tasks for vegetation sciences 3.

[10]  Philip Lewis,et al.  Spectral invariants and scattering across multiple scales from within-leaf to canopy , 2007 .

[11]  Sylvain G. Leblanc,et al.  A four-scale bidirectional reflectance model based on canopy architecture , 1997, IEEE Trans. Geosci. Remote. Sens..

[12]  Y. Knyazikhin,et al.  Stochastic Modeling of Radiation Regime in Discontinuous Vegetation Canopies , 2000 .

[13]  Ranga B. Myneni,et al.  Analysis and optimization of the MODIS leaf area index algorithm retrievals over broadleaf forests , 2005, IEEE Transactions on Geoscience and Remote Sensing.

[14]  Ranga B. Myneni,et al.  Assessing the information content of multiangle satellite data for mapping biomes: I. Statistical analysis , 2002 .

[15]  Richard A. Fournier,et al.  Seasonal change in understory reflectance of boreal forests and influence on canopy vegetation indices , 1997 .

[16]  Alan H. Strahler,et al.  Calculation of the angular radiance distribution for a coupled atmosphere and canopy , 1993, IEEE Trans. Geosci. Remote. Sens..

[17]  John R. Miller,et al.  Four-scale linear model for anisotropic reflectance (FLAIR) for plant canopies. II. validation and inversion with CASI POLDER, and PARABOLA data at BOREAS , 2002, IEEE Trans. Geosci. Remote. Sens..

[18]  Alan H. Strahler,et al.  Modeling the gap probability of a discontinuous vegetation canopy , 1988 .

[19]  Van de Hulst,et al.  Multiple Light Scattering: Tables, Formulas, and Applications , 1980 .

[20]  Alan H. Strahler,et al.  Geometric-optical bidirectional reflectance modeling of the discrete crown vegetation canopy: effect of crown shape and mutual shadowing , 1992, IEEE Trans. Geosci. Remote. Sens..

[21]  Ranga B. Myneni,et al.  Stochastic transport theory for investigating the three-dimensional canopy structure from space measurements , 2008 .

[22]  Miina Rautiainen,et al.  Application of photon recollision probability in coniferous canopy reflectance simulations , 2005 .

[23]  Nadine Gobron,et al.  Uniqueness of multiangular measurements. I. An indicator of subpixel surface heterogeneity from MISR , 2002, IEEE Trans. Geosci. Remote. Sens..

[24]  Ranga B. Myneni,et al.  Assessing the information content of multiangle satellite data for mapping biomes: II. Theory , 2002 .

[25]  Bernard Pinty,et al.  Extracting information on surface properties from bidirectional reflectance measurements , 1991 .

[26]  Pauline Stenberg,et al.  A simple parameterization of canopy reflectance using photon recollision probability , 2008 .

[27]  T. Nilson.  A theoretical analysis of the frequency of gaps in plant stands , 1971 .

[28]  Sylvain G. Leblanc,et al.  Multiple-scattering scheme useful for geometric optical modeling , 2001, IEEE Trans. Geosci. Remote. Sens..

[29]  S. Liang.  Quantitative Remote Sensing of Land Surfaces , 2003 .

[30]  S. T. Gower,et al.  Characterizing canopy nonrandomness with a multiband vegetation imager (MVI) , 1997 .

[31]  Philip Lewis,et al.  Canopy spectral invariants for remote sensing and model applications , 2007 .

[32]  P. Sellers.  Canopy reflectance, photosynthesis and transpiration , 1985 .

[33]  A. Strahler,et al.  An analytic radiative transfer model for a coupled atmosphere and leaf canopy , 1995 .

[34]  W. Verhoef.  Light scattering by leaf layers with application to canopy reflectance modelling: The SAIL model , 1984 .

[35]  Mathias Disney,et al.  Monte Carlo ray tracing in optical canopy reflectance modelling , 2000 .

[36]  Jean-Louis Roujean,et al.  Transmission of solar radiation in boreal conifer forests : Measurements and models , 1997 .

[37]  Florence Nadal,et al.  Parameterization of surface polarized reflectance derived from POLDER spaceborne measurements , 1999, IEEE Trans. Geosci. Remote. Sens..

[38]  H. White,et al.  Determining the Contribution of Shaded Elements of a Canopy to Remotely Sensed Hyperspectral Signatures , 2002 .

[39]  S. Running,et al.  Synergistic algorithm for estimating vegetation canopy leaf area index and fraction of absorbed photosynthetically active , 1998 .

[40]  John R. Miller,et al.  Four-Scale Linear Model for Anisotropic Reflectance (FLAIR) for plant canopies. I. Model description and partial validation , 2001, IEEE Trans. Geosci. Remote. Sens..

[41]  Philip Lewis,et al.  Modelling the radiometric response of a dynamic, 3D structural model of Scots pine in the optical and microwave domains , 2003, IGARSS 2003. 2003 IEEE International Geoscience and Remote Sensing Symposium. Proceedings (IEEE Cat. No.03CH37477).

[42]  K. Jon Ranson,et al.  The Boreal Ecosystem-Atmosphere Study (BOREAS) : an overview and early results from the 1994 field year , 1995 .

[43]  P. Stenberg.  Simple analytical formula for calculating average photon recollision probability in vegetation canopies , 2007 .

[44]  Jing M. Chen,et al.  Canopy architecture and remote sensing of the fraction of photosynthetically active radiation absorbed by boreal conifer forests , 1996, IEEE Trans. Geosci. Remote. Sens..