Abstract
Predicting the temporal and spatial variability of radiation intensity under wide-spaced tree stands is required for many applied issues in savannah-like ecosystems, orchards, agroforestry and urban forestry systems. Numerous authors have advocated the use of simple light interception models that approximate the crown shape with ellipsoids. They have suggested taking into account leaf clumping to improve the efficiency of these simple models, but this was never assessed. We tested this hypothesis together with the impact of including predictions of light interception by woody parts (trunks, branches). We calibrated and evaluated the model using cross-validation across eight walnut trees with field measurements of radiation intensity and spatial heterogeneity using hemispherical photographs. Leafless trees were efficiently modelled using Wood Area Density (WAD, m2m−3) for branches and an opaque cone for the trunk. We introduced a clumping parameter (μ) but this proved inefficient, clumping being highly variable amongst trees. This results from the limitations of representing the crown as an ellipsoid, a procedure too coarse to be improved by using a clumping parameter. The model proved efficient to predict the light pattern around an average tree, but was not fit for simulating the variability of individual trees. We finally discuss practical recommendations for modelling light competition in integrated agroforestry models simply.
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Annandale JG, Jovanovic NZ, Campbell GS, Sautoy Nd, Lobit P (2004) Two-dimensional solar radiation interception model for hedgerow fruit trees. Agric For Meteorol 121:207–225. doi:10.1016/j.agrformet.2003.08.004
Bartelink H (1998) Radiation interception by forest trees: a simulation study on effects of stand density and foliage clustering on absorption and transmission. Ecol Model 105:213–225. doi:10.1016/S0304-3800(97)00165-8
Begué A, Prince S, Hanan N, Roujean J (1996) Shortwave radiation budget of sahelian 2. radiative transfer models vegetation. Agric For Meteorol 79:97–112. doi:10.1016/0168-1923(95)02269-4
Bonhomme R (1993) The solar radiation: characterization and distribution in the canopy. In: Varlet-Granchet C, Bonhomme R, Sinoquet H (eds) Crop structure and light microclimate. INRA, Paris, pp 17–28
Brisson N, Mary B, Ripoche D, Jeuffroy M, Ruget F, Nicoullaud B, Gate P, Devienne-Barret F, Antonioletti R, Durr C, Richard G, Beaudoin N, Recous S, Tayot X, Plenet D, Cellier P, Machet J, Meynard J, Delecolle R (1998) Stics: a generic model for the simulation of crops and their water and nitrogen balances. 1. Theory and parameterization applied to wheat and corn. Agronomie 18:311–346. doi:10.1051/agro:2001005
Brunner A (1998) A light model for spatially explicit forest stand models. For Ecol Manag 107:19–46. doi:10.1016/S0378-1127(97)00325-3
Casella E, Sinoquet H (2007) Botanical determinants of foliage clumping and light interception in two-year-old coppice poplar canopies: assessment from 3-d plant mock-ups. Ann For Sci 64:395–404. doi:10.1051/forest:2007016
de Castro F, Fetcher N (1998) Three dimensional model of the interception of light by a canopy. Agric For Meteorol 90:215–233. doi:10.1016/S0168-1923(97)00097-X
de Castro F, Fetcher N (1999) The effect of leaf clustering in the interception of light in vegetal canopies: theoretical considerations. Ecol Model 116:125–134. doi:10.1016/S0304-3800(98)00170-7
Cescatti A (1997a) Modelling the radiative transfer in discontinuous canopies of asymmetric crowns. I. model structure and algorithms. Ecol Model 101:263–274. doi:10.1016/S0304-3800(97)00050-1
Cescatti A (1997b) Modelling the radiative transfer in discontinuous canopies of asymmetric crowns. II. Model testing and application in a norway spruce stand. Ecol Model 101:275–284. doi:10.1016/S0304-3800(97)00055-0
Cescatti A (2007) Indirect estimates of canopy gap fraction based on the linear conversion of hemispherical photographs: methodology and comparison with standard thresholding techniques. Agric For Meteorol 143:1–12. doi:10.1016/j.agrformet.2006.04.009
Chen J (1996) Optically-based methods for measuring seasonal variation of leaf area index in boreal conifer stands. Agric For Meteorol 80:135–163. doi:10.1016/0168-1923(95)02291-0
Cohen S, Mosoni P, Meron M (1995) Canopy clumpiness and radiation penetration in a young hedgerow apple orchard. Agric For Meteorol 76:185–200. doi:10.1016/0168-1923(95)02226-N
Courbaud B, de Coligny F, Cordonnier T (2003) Simulating radiation distribution in a heterogeneous norway spruce forest on a slope. Agric For Meteorol 116:1–18. doi:10.1016/S0168-1923(02)00254-X
Dauzat J, Rapidel B, Bergé A (2001) Simulation of leaf transpiration and sap flow in virtual plants: model description and application to a coffee plantation in costa rica. Agric For Meteorol 109:143–160. doi:10.1016/S0168-1923(01)00236-2
Dupraz C, Newman S (1997) Temperate agroforestry: the european way. In: Gordon AM, Newman S (eds) Temperate agroforestry systems. CAB International, UK, pp 181–236
Falster D, Welstoby M (2003) Leaf size and angle vary widely across species: what consequences for light interception. New Phytol 158:509–525. doi:10.1046/j.1469-8137.2003.00765.x
Fournier R, Landry R, August N, Fedosejevs G, Gauthier R (1996) Modelling light obstruction in three conifer forests using hemispherical photography and fine tree architecture. Agric For Meteorol 82:47–72. doi:10.1016/0168-1923(96)02345-3
Frazer G, Canham C, Lertzman K (1999) Gap light analyser (GLA): imaging software to extract canopy structure and gap light transmission indices from true-colour Fisheye photographs. Users manual and program documentation, Version 2.0. Simon Fraser University, Burnaby, British Columbia
Goudriaan J (1977) Crop micrometeorology: a simulation. Wageningen Centre for Agricultural Publishing and Documentation, Wageningen
Huang P, Pretzsch H (2010) Using terrestrial laser scanner for estimating leaf areas of individual trees in a conifer forest. Trees 24:609–619. doi:10.1007/s00468-010-0431-z
Jonckheere I, Fleck S, Nackaerts K, Muysa B, Coppin P, Weiss M, Baret F (2004) Review of methods for in situ leaf area index determination. Part I. theories, sensors and hemispherical photography. Agric For Meteorol 121:19–35. doi:10.1016/j.agrformet.2003.08.027
Jonckheere I, Nackaerts K, Muys B, Coppin P (2005) Assessment of automatic gap fraction estimation of forests from digital hemispherical photography. Agric For Meteorol 132:96–114. doi:10.1016/j.agrformet.2005.06.003
Kho R, Yacouba B, Yayé M, Katkoré B, Moussa A, Iktam A, Mayaki A (2001) Separating the effects of trees on crops: the case of Faidherbia albida and millet in niger. Agrofor Syst 52:219–238. doi:10.1023/A:1011820412140
Knyazikhin Y, Kranigk J, Miessen G, Panfyorov O, Vygodskaya N, Gravenhorst G (1996) Modelling three-dimensional distribution of photosynthetically active radiation in sloping coniferous stands. Biomass Bioenerg 11:189–200. doi:10.1016/0961-9534(96)00010-4
Lamanda N, Dauzat J, Jourdan C, Martin P, Malézieu E (2008) Using 3d architectural models to assess light availability and root bulkiness in coconut agroforestry systems. Agrofor Syst 72:63–74. doi:10.1007/s10457-007-9068-3
Leblanc S, Chen J (2001) A practical scheme for correcting multiple scattering effects on optical lai measurements. Agric For Meteorol 110:125–139. doi:10.1016/S0168-1923(01)00284-2
Li F, Meng P, Fu D, Wang B (2008) Light distribution, photosynthetic rate and yield in a paulownia-wheat intercropping system in china. Agrofor Syst 74(2):163–172. doi:10.1007/s10457-008-9122-9
Mõettus M, Sulev M, Lang M (2006) Estimation of crown volume for a geometric radiation model from detailed measurements of tree structure. Ecol Model 198:506–514. doi:10.1016/j.ecolmodel.2006.05.033
Mariscal M, Orgaz F, Villalobos F (2000) Modelling and measurement of radiation interception by olive canopies. Agric For Meteorol 100:183–197. doi:10.1016/S0168-1923(99)00137-9
Mariscal M, Marens S, Ustin S, Chen J, Weiss S, Roberts D (2004) Light-transmission profiles in an old-growth forest canpy: Simulation of photosynthetically active radiation by using spatially explicit radiative transfer models. Ecosyst 7:454–467. doi:10.1007/s10021-004-0137-4
Martens S, Breshears D, Meyer C (2000) Spatial distribution of understory light along the grassland/forest continuum: effect of cover, height, and spatial pattern of tree canopies. Ecol Model 126:79–93. doi:10.1016/S0304-3800(99)00188-X
Mialet-Serra I, Dauzat J, Auclair D (2001) Using plant architectural models for estimation of radiation transfer in a coconut-based agroforestry system. Agrofor Syst 53:141–149. doi:10.1023/A:1013320419289
Moon P, Spencer D (1942) Illumination from a non-uniform sky. Trans Illum Eng Soc N Y 37:707–726
Mulia R, Dupraz C (2006) Unusual fine root distributions of two deciduous tree species in southern france: What consequences for modelling of tree root dynamics. Plant Soil 281:71–85. doi:10.1007/s11104-005-3770-6
Nair P (2007) The coming age of agroforestry. J Sci Food Agric 87:1613–1619. doi:10.1002/jsfa.2897
Nilson T (1971) A theoretical analysis of the frequency of gaps in plant stands. Agric Meteorol 8:25–38. doi:10.1016/0002-1571(71)90092-6
Nilson T (1999) Inversion of gap frequency data in forest stands. Agric For Meteorol 98(99):443–448. doi:10.1016/S0168-1923(99)00114-8
Norman JM, Welles JM (1983) Radiative transfer in an array of canopies. Agron J 75:481–488. doi:10.2134/agronj1983.00021962007500030016x
Oyarzun R, Stöckle C, Whiting M (2007) A simple approach to modeling radiation interception by fruit-tree orchards. Agric For Meteorol 142:12–24. doi:10.1016/j.agrformet.2006.10.004
Parveaud CE, Chopard J, Dauzat J, Courbaud B, Auclair D (2008) Modelling foliage characteristics in 3d tree crowns: influence on light interception and leaf irradiance. Trees 22:87–104. doi:10.1007/s00468-007-0172-9
Phattaralerphong J, Sathornkich J, Sinoquet H (2008) A photographic gap fraction method for estimating leaf area of isolated trees: assessment with 3D digitized plants. Tree Physiol 26:1123–1136. doi:10.1093/treephys/26.9.1123
Reisner Y, Filippi Rd, Herzog F, Palma J (2007) Target regions for silvoarable agroforestry in europe. Ecol Eng 29(4):401–418. doi:10.1016/j.ecoleng.2006.09.020
Roupsard O, Dauzat J, Nouvellon Y, Deveau A, Feintrenie L, Saint-André L, Mialet-Serra I, Braconnier S, Bonnefond J, Berbigier P, Epron D, Jourdan C, Navarro M, Bouillet J (2008) Cross-validating sun-shade and 3d models of light absorption by a tree-crop canopy. Agric For Meteorol 148:549–564. doi:10.1016/j.agrformet.2007.11.002
Sinoquet H, Sonohat G, Phattaralerphong J, Godin C (2005) Foliage randomness and light interception in 3-d digitized trees: an analysis from multiscale discretization of the canopy. Plant Cell Environ 28:1158–1170. doi:10.1111/j.1365-3040.2005.01353.x
Sinoquet H, Stephen J, Sonohat G, Lauri P, Monney P (2007) Simple equations to estimate light interception by isolated trees from canopy structure features: assessments with three-dimensional digitized apple-trees. New Phytol 175:94–106. doi:10.1111/j.1469-8137.2007.02088.x
Stadt K, Lieffers V (2000) Mixlight: a flexible light transmission model for mixed-species forest stands. Agric For Meteorol 102:235–252. doi:10.1016/S0168-1923(00)00128-3
Stuckens J, Somers B, Delalieux S, Verstraeten WW, Coppin P (2009) The impact of common assumptions on canopy radiative transfer simulations: a case study in Citrus orchards. J Quant Spectrosc Radiat Trans 110:1–21. doi:10.1016/j.jqsrt.2008.09.001
Thanisawanyangkura S, Sinoquet H, Rivet P, Crétenet P, Jallas E (1997) Leaf orientation and sunlit leaf area distribution in cotton. Agric For Meteorol 86:1–15. doi:10.1016/S0168-1923(96)02417-3
Villalobos FJ, Orgaz F, Mateos L (1995) Non-destructive measurement of leaf area in olive (Olea europaea l.) trees using a gap inversion method. Agric For Meteorol 73:29–42. doi:10.1016/0168-1923(94)02175-J
Wang Y, Jarvis PG (1990) Description and validation of an array model: Maestro. Agric For Meteorol 51:257–280. doi:10.1016/0168-1923(90)90112-J
Zhao W, Qualls R, Berliner P (2003) Modeling of the short wave radiation distribution in an agroforestry system. Agric For Meteorol 118:185–206. doi:10.1016/S0168-1923(03)00108-4
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Talbot, G., Dupraz, C. Simple models for light competition within agroforestry discontinuous tree stands: are leaf clumpiness and light interception by woody parts relevant factors?. Agroforest Syst 84, 101–116 (2012). https://doi.org/10.1007/s10457-011-9418-z
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DOI: https://doi.org/10.1007/s10457-011-9418-z