Abstract
One of the most important limitations regarding the in situ measurement of forest canopies is the relative lack of knowledge of canopy structure. Yet the three-dimensional (3D) arrangement of canopy components is difficult to measure because of the significant spatial and temporal heterogeneity of canopy structure over a wide range of scales. In this context, models of plant and tree canopies represent our current simplified understanding of canopy structure, and provide a tool to analyze and interpret direct as well as indirect measurements. This chapter first reviews some of the architectural modeling approaches for simulating forest canopies and the extent to which they can account for the spatial variability present in hemispherical photographs (HPs). Then, a novel architectural model is described that is capable of explicitly representing conifer tree structure up to the level of individual branches, and which is called VoxTreK (Voxel Tree with 3D Kites). Its ability to simulate HP is assessed through a comparative analysis with three other canopy architecture models of increasing complexity: from a simple turbid medium to detailed representation of individual shoots. Our comparative analysis of the four models consisted of simulations of forest canopy structure, reconstructions of several coniferous stands, and computer-generated simulations of actual HPs that were taken in forest stands. Results demonstrate that the VoxTreK model is capable of reproducing the zenith gap fraction distributions of conifer forest canopies with high correlations (r ≥ 0.92) between the simulated and in situ HPs. They also suggest that VoxTreK can describe the canopy structure with greater detail than crown envelope, with accuracy comparable to a model including individual coniferous shoots for HP applications. Last, recent trends in architectural modeling are reviewed, thereby providing a summary of the state of the art in modeling canopy structure as well as outlining current applications and future developments.
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Notes
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Parallel rewriting systems that consist of a set of modules, each representing plant components, a collection of production rules which expand each module at every step of the simulation into some larger string of modules, an initial state from which the simulation begins, and a mechanism for translating the modules that are generated into geometric structures.
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References
Andrieu B, Sohbi Y, Ivanov N (1994) A direct method to measure bidirectional gap fraction in vegetation canopies. Remote Sens Environ 50:61–66
Avery TE, Burkhart HE (1983) Forest measurements, 3rd edn. McGraw-Hill, New York 331 pp
Bernier PY, Fournier RA, Ung C-H, Robitaille G, Larocque GR, Lavigne MB, Boutin R, Raulier F, Paré D, Beaubien J, Delisle C (1999) Linking ecophysiology and forest productivity: an overview of the ECOLEAP project. For Chron 75:417–421
Borel CC, Gerstl SAW, Powers BJ (1991) The radiosity method in optical remote sensing of structured 3-D surfaces. Remote Sens Environ 36:13–44
Brunner A (1998) A light model for spatially explicit forest stand models. For Ecol Manag 107:19–46
Cescatti A (1997) Modelling the radiative transfer in discontinuous canopies of asymmetric crowns. I. Model structure and algorithms. Ecol Model 101:263–274
Chen JM, Black TA (1991) Measuring leaf area index of plant canopies with branch architecture. Agric For Meteorol 57:1–12
Chen JM, Cihlar J (1995) Quantifying the effect of canopy architecture on optical measurements of leaf area index using two gap size analysis methods. IEEE T Geosci Remote 33:777–787
Chen JM, Leblanc SG (1997) A four-scale bidirectional reflection model based on canopy architecture. IEEE T Geosci Remote 35:1316–1337
Chen JM, Rich PM, Gower ST, Norman JM, Plummer S (1997) Leaf area index of boreal forests: theory, techniques, and measurements. J Geophys Res 102(D24):29429–29443
Côté J-F (2006) Un modèle d’architecture 3D par voxels pour simuler les paramètres structuraux des couverts forestiers de conifères. MSc thesis, Université de Sherbrooke, Sherbrooke, Quebec. 85 pp
Côté J-F, Fournier RA, Luther JM (2013) Validation of L-Architect model for balsam firs and black spruce with structural measurements. Can J Remote Sens 39:S41–S59
de Reffye P (1988) Plant models faithful to botanical structure and development. Comp Graph 22:151–158
de Reffye P, Blaise F, Houllier F (1998) Modelling plant growth and architecture: some recent advances and applications to agronomy and forestry. Acta Hortic 456:105–116
de Reffye P, Fourcaud T, Blaise F. Barthélémy D, Houllier F (1997) A functional model of tree growth and architecture. Silva Fenn 31:297–311
Disney M, Lewis P, Saich P (2006) 3D modelling of forest canopy structure for remote sensing simulations in the optical and microwave domains. Remote Sens Environ 100:114–132
Ecological Stratification Working Group (1995) A national ecological framework for Canada. Agriculture and Agri-Food Canada, Research Branch, Centre for Land and Biological Resources Research and Environment Canada, State of Environment Directorate, Ecozone Analysis Branch, Ottawa/Hull. 125 pp and national map at 1:7 500,000 scale
Fournier RA, Landry R, August NM, Fedosejevs G, Gauthier RP (1996) Modelling light obstruction in three conifer forests using hemispherical photography and fine tree architecture. Agric For Meteorol 82:47–72
Fournier RA, Mailly D, Walter J-MN, Soudani K (2003) Indirect measurement of forest structure from in situ optical sensors. In: Wulder MA, Franklin SE (eds) Methods and applications for remote sensing of forests: concepts and case studies. Kluwer Academic Publishers, Dordrecht, The Netherlands, pp 77–113
Fournier RA, Rich PM, Landry R (1997) Hierarchical characterization of canopy architecture for boreal forest. J Geophys Res 102(D24):29445–29454
Frazer GW, Fournier RA, Leblanc SG, Walter J-MN (2017) View angle-dependent clumping indices for indirect LAI estimation. In: Fournier RA, Hall RJ (eds) Hemispherical photography in forest science: theory, methods, applications. Springer, Berlin Heidelberg New York
Gastellu-Etchegorry J-P, Demarez V, Pinel V, Zagoliski F (1996) Modeling radiative transfer in heterogeneous 3-D vegetation canopies. Remote Sens Environ 58:131–156
Gobron N, Pinty B, Verstraete MM, Govaerts Y (1997) A semidiscrete model for the scattering of light by vegetation. J Geophys Res 102(D8):9431–9446
Godin C, Costes E, Sinoquet H (1999) A method for describing plant architecture which integrates topology and geometry. Ann Bot-London 84:343–357
Goel NS (1988) Models of vegetation canopy reflectance and their use in estimation of biophysical parameters from reflectance data. Remote Sens Rev 4:1–212
Govaerts YM, Verstraete MM, Raytran (1998) A Monte Carlo ray-tracing model to compute light scattering in three-dimensional heterogeneous media. T Geosci Remote 36:493–505
Govind A, Guyon D, Roujean J-L, Yauschew-Raguenes N, Kumari J, Pisek J, Wigneron J-P (2013) Effects of canopy architectural parameterizations on the modeling of radiative transfer mechanism. Ecol Model 251:114–126
Herbert TJ (1987) Area projections of fisheye photographic lenses. Agric For Meteorol 39:215–223
Hoffmann CM (1989) Geometric and solid modeling: an introduction. Morgan Kaufmann, San Francisco, California 338 pp
Horn HS (1971) The adaptive geometry of trees. Princeton University Press, Princeton, New Jersey 141 pp
Jonckheere I, Fleck S, Nackaerts K, Muys B, Coppin P, Weiss M, Baret F (2004) Methods for leaf area index determination. Part I: theories, sensors and hemispherical photography. Agric For Meteorol 121:19–35
Kimes DS, Kirchner JA (1982) Radiative transfer model for heterogeneous 3-D scenes. Appl Opt 21:4119–4129
Koop H (1989) Forest dynamics. A comprehensive monitoring system. Springer, Berlin Heidelberg New York, SILVI-STAR
Kurth W (1994) Morphological models of plant growth: possibilities and ecological relevance. Ecol Model 75(76):299–308
Kurth W (2000) Towards universality of growth grammars: models of Bell, Pagès, and Takenaka revisited. Ann For Sci 57:543–554
Kurth W, Sloboda B (1997) Growth grammars simulating trees—An extension of L-systems incorporating local variables and sensitivity. Silva Fenn 31:285–295
Landry R, Fournier RA, Lang R, Ahern FJ (1997) Tree vectorization: a methodology to characterize fine tree architecture in support of remote sensing models. Can J Remote Sens 23:91–107
Laroche G, Dagnault S (2000) Rapport d’inventaire Forestier des Sites ECOLEAP. Resources naturelles Canada, Service canadien des forêts, Centre de foresterie des Laurentides, Quebec
Larsen DR, Kershaw JA Jr (1996) Influence of canopy structure assumptions on predictions from Beer’s law. A comparison of deterministic and stochastic simulations. Agric For Meteorol 81:61–77
Law BE, Cescatti A, Baldocchi DD (2001) Leaf area distribution and radiative transfer in open-canopy forests: implications for mass and energy exchange. Tree Physiol 21:777–787
Leblanc SG, Chen JM, Fernandes R, Deering DW, Conley A (2005) Methodology comparison for canopy structure parameters extraction from digital hemispherical photography in boreal forests. Agric For Meteorol 129:187–207
Leblanc SG, Fernandes R, Chen JM (2002) Recent advancements in optical field leaf area index, foliage heterogeneity, and foliage angular distribution measurements. In: IGARSS 2002, Proceedings of the IEEE International Geoscience and Remote Sensing Symposium, 24–28 June, Toronto, Ontario. CD-ROM. IEEE, Piscataway, New Jersey. 5:2902–2904
Leblanc SG, Fournier RA (2017) Measurement of forest structure with hemispherical photography. In: Fournier RA, Hall RJ (eds) Hemispherical photography in forest science: theory, methods, applications. Springer, Berlin Heidelberg New York
Li X, Strahler AH (1985) Geometrical-optical modeling of a conifer forest canopy. IEEE T Geosci Remote 23:705–721
Mäkelä A (1986) Implications of the pipe model theory on dry matter partitioning and height growth of trees. J Theor Biol 123:103–120
Mĕch R, Prusinkiewicz P (1996) Visual models of plants interacting with their environment. Proceedings of SIGGRAPH 96 (New Orleans, Louisiana, August 4–9, 1996). In Computer Graphics Proceedings, Annual Conference Series, ACM SIGGRAPH, 397–410
Mitchell KJ (1975) Dynamics and simulated yield of Douglas-fir. For Sci Monogr 17:1–39
Myneni RB, Maggion S, Iaquinta J, Privette JL, Gobron N, Pinty B, Kimes DS, Verstraete MM, Williams DL (1995) Optical remote sensing of vegetation: modeling, caveats and algorithms. Remote Sens Environ 51:169–188
Nilson T, Peterson U (1991) A forest canopy reflectance model and a test case. Remote Sens Environ 37:131–142
Nilson T, Ross V (1979) Characterization of the transparency of a forest canopy by fish-eye photographs [Vooremaa Forest Ecology Station]. Estonian contributions to the International Biological Programme progress report: 2) 117–130
Nikinmaa E, Messier C, Sievänen R, Perttunen J, Lehtonen M (2003) Shoot growth and crown development: effect of crown position in three-dimensional simulations. Tree Physiol 23:129–136
Norman JM, Campbell GS (1989) Canopy structure. In: Pearcy RW, Ehleringer J, Mooney HA, Rundel PW (eds) Physiological plant ecology: field methods and instrumentation. Chapman & Hall, London, pp 301–325
Oker-Blom P, Kellomäki S (1982) Effect of angular distribution of foliage on light absorption and photosynthesis in the plant canopy: theoretical computations. Agr Meteorol 26:105–116
Pacala SW, Canham CD, Silander JA Jr (1993) Forest models defined by field measurements: I. The design of a northeastern forest simulator. Can J For Res 23:1980–1988
Parker GG (1995) Structure and microclimate of forest canopies. In: Lowman MD, Nadkarni NM (eds) forest canopies. Academic Press, San Diego, CA, pp 73–106
Perttunen J, Sievänen R, Nikinmaa E, Salminen H, Saarenmaa H, Väkevä J (1996) LIGNUM: A tree model based on simple structural units. Ann Bot-London 77:87–98
Pinty B, Verstraete MM (1991) Extracting information on surface properties from bidirectional reflectance measurements. J Geophys Res 96(D2):2865–2874
Pinty B, Verstraete MM, Dickinson RE (1990) A physical model of the bidirectional reflectance of vegetation canopies: Part 2. Inversion and validation. J Geophys Res 95(D8):11767–11775
Pisek J, Lang M, Nilson T, Korhonen L, Karu H (2011) Comparison of methods for measuring gap size distribution and canopy nonrandomness at Järvselja RAMI (RAdiation transfer Model Intercomparison) test sites. Agric For Meteorol 151:365–377
Planchais I, Pontailler J-Y (1999) Validity of leaf areas and angles estimated in a beech forest from analysis of gap frequencies, using hemispherical photographs and a plant canopy analyzer. Ann For Sci 56:1–10
Porté A, Bosc A, Champion I, Loustau D (2000) Estimating the foliage area of maritime pine (Pinus pinaster Ait.) branches and crowns with application to modelling the foliage area distribution in the crown. Ann For Sci 57:73–86
Porté A, Loustau D (1997) Needle surface area and density distributions in a 25-year-old maritime pine canopy (Pinus pinaster Ait.). Institut National de la recherche Agronomique (INRA). Internal Report. France. 14 pp
Prusinkiewicz P, James M, Mĕch R (1994) Synthetic topiary. Proceedings of SIGGRAPH 94 (Orlando, Florida, 24–29 July 1994), In Computer Graphics Proceedings, Annual Conference Series, 1994, ACM SIGGRAPH. pp 351–358
Prusinkiewicz P, Lindenmayer A (1990) The algorithmic beauty of plants. Springer, Berlin Heidelberg New York
Rich PM (1990) Characterizing plant canopies with hemispherical photographs. In: Goel NS, Norman JM (eds) Instrumentation for studying vegetation canopies for remote sensing in optical and thermal infrared regions. Remote Sens Rev 5:13–29
Ross J (1981) The radiation regime and architecture of plant stands. Junk publishers, The Hague, Dr W
Ross JK, Nilson TA (1966) A mathematical model of the radiation regime of vegetation. In: Pyldmaa VK (ed). Actinometry and atmospheric optics: Proceedings of the 6th Interdepartmental Symposium on Actinometry and Atmospheric Optics, June 1966, Tartu. [Mezhvedomstvennoe soveshchanie po aktinometrii i optike atmosfery (Tartu) (1966), in Russian] Translated by Israel Program for Scientific Translations, Cat. No. 5835, 253–274, Jerusalem, 1971
Seidel D, Fleck S, Leuschner C (2012) Analyzing forest canopies with ground-based laser scanning: a comparison with hemispherical photography. Agric For Meteorol 154–155:1–8
Sellers P, Hall F, Margolis H, Kelly B, Baldocchi D, den Hartog G, Cihlar J, Ryan MG, Goodison B, Crill P, Ranson JK, Lettenmaier D, Wickland DE (1995) The boreal ecosystem-atmosphere study (BOREAS): an overview and early results from the 1994 field year. Bull Am Meteorol Soc 76:1549–1577
Sen D, Srikanth TK (2008) Efficient computation of volume fractions for multi-material cell complexes in a grid by slicing. Comput Geosci 34:754–782
Sinoquet H, Rivet P (1997) Measurement and visualization of the architecture of an adult tree based on a three-dimensional digitising device. Trees 11:265–270
St-Onge BA, Cavayas F, Teillet PM (1991) Étude de la signature spatiale des couverts forestiers par modélisation géométrique-optique. In: Proceedings of the 5th lnternational Colloqium on Physical Measurements and Signatures in Remote Sensing, Courchevel, France, 14–18 January, ESA SP-319. pp 671–674
Stadt KJ, Lieffers VJ (2000) Mixlight: a flexible light transmission model for mixed-species forest stands. Agric For Meteorol 102:235–252
Sun G, Ranson KJ (1998) Radar modelling of forest spatial patterns. Int J Remote Sens 19:1769–1791
Turner MG (1989) Landscape ecology: the effect of pattern on process. Annu Rev Ecol Syst 20:171–197
Ung C-H, Melanson P (1998) Canadian Forest Service, Laurentian Forestry Centre, Québec, Canada. Personal communication
Ung C-H, Bernier PY, Raulier F, Fournier RA, Lambert M-C, Régnière J (2001) Biophysical site indices for shade tolerant and intolerant boreal species. For Sci 47:83–95
van Leeuwen M, Coops NC, Hilker T, Wulder MA, Newnham GJ, Culvenor DS (2013) Automated reconstruction of tree and canopy structure for modeling the internal canopy radiation regime. Remote Sens Environ 136:286–300
Verhoef W, Bunnik NJJ (1981) Influence of crop geometry on multispectral reflectance determined by the use of canopy reflectance models. In: Proceedings of international colloquium on signatures of remotely sensed objects. Avignon, France, 8–11 September 1981. pp 273–290
Verstraete MM (1987) Radiation transfer in plant canopies: transmission of direct solar radiation and the role of leaf orientation. J Geophys Res 92(D9):10985–10995
Verstraete MM (1988) Radiation transfer in plant canopies: scattering of solar radiation and canopy reflectance. J Geophys Res 93(D9):9483–9494
Verstraete MM, Pinty B, Dickinson RE (1990) A physical model of the bidirectional reflectance of vegetation canopies: Part 1. Theory. J Geophys Res 95(D8):11755–11765
Walter J-MN, Fournier RA, Soudani K, Meyer E (2003) Integrating clumping effects in forest canopy structure: an assessment through hemispherical photographs. Can J Remote Sens 29:388–410
Wang YP, Jarvis PG (1990) Description and validation of an array model—MAESTRO. Agric For Meteorol 51:257–280
Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech-T ASME 18:293–297
White MA, Asner GP, Nemani RR, Privette JL, Running SW (2000) Measuring fractional cover and leaf area index in arid ecosystems: digital camera, radiation transmittance, and laser altimetry methods. Remote Sens Environ 74:45–57
Widlowski J-L, Lavergne T, Pinty B, Gobron N, Verstraete MM (2008) Towards a high spatial resolution limit for pixel-based interpretations of optical remote sensing data. Adv Space Res 41:1724–1732
Acknowledgements
We are grateful to the ECOLEAP group of the Canadian Forest Service (Natural Resources Canada), the BOREAS project, and the Institut National de la Recherche Agronomique (INRA) at Pierroton for providing access to critical datasets that were used in this study. The work of Jean-François Côté was made possible by a Natural Sciences and Engineering Research Council of Canada (NSERC) research grant awarded to Richard A. Fournier.
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Côté, JF., Fournier, R.A., Verstraete, M.M. (2017). Canopy Architectural Models in Support of Methods Using Hemispherical Photography. In: Fournier, R., Hall, R. (eds) Hemispherical Photography in Forest Science: Theory, Methods, Applications. Managing Forest Ecosystems, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-1098-3_9
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