Numerical Evaluation of Radiation Extinction Coefficient Using Fractal Geometry for Vegetation Modeling

REFERENCES

• A. Collin , A. Lamorlette , and O. Séro-Guillaume , Model of Vegetation for Forest Fire Propagation Modelling, In press .
   Google Scholar
• N. Boulain , G. Simioni , and J. Gignoux , Changing Scale in Ecological Modelling: A Bottom up Approach with an Individual Based Vegetation Model, Ecol. Modell. , vol. 203, pp. 257–269, 2007.
   Web of Science ®Google Scholar
• N. J. De Mestre , E. A. Catchpole , D. H. Anderson , and R. C. Rothermel , Uniform Propagation of a Planar Fire front without Wind , Combust. Sci. Technol. , vol. 65 , pp. 231 – 244 , 1989 .
   Web of Science ®Google Scholar
• B. Monod , A. Collin , G. Parent , and P. Boulet , Radiative Properties of the Vegetation in the Infrared in the Frame of Forest Fire Modeling , Fire Saf. J. , vol. 44 , pp. 88 – 95 , 2009 .
   Web of Science ®Google Scholar
• M. Tancrez and J. Taine , Direct Identification of Absorption and Scattering Coefficients and Phase Function of a Porous Medium by a Monte Carlo Technique , Int. J. Heat Mass Transfer , vol. 47 , pp. 373 – 383 , 2004 .
   Web of Science ®Google Scholar
• D. Baillis and J. F. Sacadura , Thermal Radiation Properties of Dispersed Media: Theoretical Prediction and Experimental Characterization , J. Quant. Spectrosc. Radiat. Transfer , vol. 67 , pp. 327 – 363 , 2000 .
   Web of Science ®Google Scholar
• C. T. de Wit , Photosynthesis of Leaf Canopies, Technical Report 663, Center for Agricultural Publication and Division , Wageningen , 1965 .
   Google Scholar
• Z. Acem , A. Lamorlette , A. Collin , and P. Boulet , Analytical Determination and Numerical Computation of Extinction Coefficients for Vegetation with Given Leaf Distribution , Int. J. Therm. Sci. , vol. 48 , pp. 1501 – 1509 , 2009 .
   Web of Science ®Google Scholar
• B. Zeide , Fractal Analysis of Foliage Distribution in Loblolly Pine Crowns , Can. J. For. Res. , vol. 28 , pp. 106 – 114 , 1998 .
   Web of Science ®Google Scholar
• S. M. Ulam , On Some Mathematical Problems Connected with Patterns of Growth Figures , Proc. Symposia Appl. Math. , vol. 14 , pp. 215 – 224 , 1962 .
   Google Scholar
• P. E. Oppenheimer , Real Time Design and Animation of Fractal Plants and Trees , Proc. of the 13th Annual Conference on Computer Graphics and Interactive Techniques , pp. 55 – 64 , 1986 .
   Google Scholar
• A. Lindenmayer , Mathematical Models for Cellular Interactions in Developpement, I & II , J. Theor. Biol. , vol. 18 , pp. 280 – 315 , 1968 .
   PubMed Web of Science ®Google Scholar
• D. Calogine , N. Rimbert , and O. Séro-Guillaume , Modelling of the Deposition of Retardant in a Tree Crown During Fire Fighting , Environ. Modell. Softw. , vol. 22 , pp. 1654 – 1666 , 2007 .
   Web of Science ®Google Scholar
• F. Danjon , H. Sinoquet , C. Godin , F. Colin , and M. Drexhage , Characterisation of Structural Tree Root Architecture Using 3-D Digitising and AMAPmod Software , Plant Soil , vol. 211 , pp. 241 – 258 , 1999 .
   Web of Science ®Google Scholar
• C. Godin , Representing and Encoding Plant Architecture: A Review , Ann. For. Sci , vol. 57 , pp. 413 – 438 , 2000 .
   Web of Science ®Google Scholar
• S. I. Sen and A. M. Day , Modelling Tress and Their Interaction with the Environment: A Survey , Comput. Graphics , vol. 29 , pp. 805 – 817 , 2005 .
   Web of Science ®Google Scholar
• M. E. Teske and H. W. Thistle , A Library of Forest Canopy Structure for Use in Interception Modeling , Forest Ecol. Manag. , vol. 198 , pp. 341 – 350 , 2004 .
   Web of Science ®Google Scholar
• M. F. Barnsley , Fractals Everywhere, , 2nd ed. , Academic Press , New York , 1993 .
   Google Scholar
• B. B. Mandelbrot , The Fractal Geometry of Nature , W. H. Freeman and Co. , New York , 1982 .
   Google Scholar
• O. Séro-Guillaume and D. Calogine , Inflame project, Final Report on Vegetation Modelling , 2000 .
   Google Scholar
• A. Lamorlette and O. Séro-Guillaume , A numerical Study of Global Convective Heat Transfer Coefficient in Two-Energy Equation Model for Convection in Three Dimensional Porous Media with Buoyancy Effects , Eurotherm 2008–5th European Thermal-Sciences Conference , Eindhoven , The Netherlands , 2008 .
   Google Scholar
• I. Jonckheere , S. Fleck , K. Nackaerts , B. Muys , P. Coppin , M. Weiss , and F. Baret , Review of Methods for in situ Leaf Area Index Determination. Part I. Theories, Sensors and Hemispherical Photography , Agric. For. Meteorol. , vol. 121 , pp. 19 – 35 , 2004 .
   Web of Science ®Google Scholar
• D. J. Watson , Comparative Physiological Studies in the Growth of Fields Crops. I – Variation in Net Assimilation Rate and Leaf Area Between Species and Varieties, and within and Between Years, Ann. Bot. , vol. 11, pp. 41–76, 1947.
   Web of Science ®Google Scholar
• www.Discoverlife.org, Accessed September 2007 .
   Google Scholar
• Q. Y. Duan , V. K. Gupta , and S. Sorooshian , Shuffled Complex Evolution Approach for Effective and Efficient Global Minimization , J. Optimiz. Theory App. , vol. 76 , pp. 501 – 521 , 1993 .
   Web of Science ®Google Scholar
• F. Anstett , G. Millerioux , and G. Bloch , Polytopic Observer Design for LPV Systems Based on Minimal Convex Polytope Findings . J. Algorithm Comput. Technol. , vol. 3 , pp. 23 – 43 , 2009 .
   Google Scholar