Abstract
Diffuse photosynthetically active radiation (DPAR) is important during overcast days and for plant parts shaded from the direct beam radiation. Simulation of DPAR interception by individual plant parts of a canopy, separately from direct beam photosynthetically active radiation (PAR), may give important insights into plant ecology. This paper presents a model to simulate the interception of DPAR in plant canopies. A sub-model of a virtual maize canopy was reconstructed. Plant surfaces were represented as small triangular facets positioned according to three-dimensionally (3D) digitized data collected in the field. Then a second sub-model to simulate the 3D DPAR distribution in the canopy was developed by dividing the sky hemisphere into a grid of fine cells that allowed for the anisotropic distribution of DPAR over the sky hemisphere. This model, DSHP (Dividing Sky Hemisphere with Projecting), simulates which DSH (Divided Sky Hemisphere) cells are directly visible from a facet in the virtual canopy, i.e. not obscured by other facets. The DPAR reaching the center of a facet was calculated by summing the amounts of DPAR present in every DSH cell. The distribution of DPAR in a canopy was obtained from the calculated DPARs intercepted by all facets in the canopy. This DSHP model was validated against DPAR measurements made in an actual maize (Zea mays L.) canopy over selected days during the early filling stage. The simulated and measured DPAR at different canopy depths showed a good agreement with a R 2 equaling 0.78 (n=120).
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References
Alados I, Foyo-Moreno I, Olmo FJ, Alados-Arboledas L (2002) Improved estimation of diffuse photosynthetically active radiation using two spectral models. Agric For Meteorol 111:1–12
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
Brunner A (1998) A light model for spatially explicit forest stand models. Agric For Meteorol 107:19–46
Chelle M, Andrieu B (1998) The nested radiosity model for the distribution of light within plant canopies. Ecol Model 111:75–91
Chelle M, Andrieu B (1999) Radiative models for architectural modeling. Agronomie 19:225–240
Chen JM, Li X, Nilson T, Strahler A (2000) Recent advances in geometrical optical modelling and its applications. Remote Sens Reviews 18:227–262
Choudhury BJ (2001) Modeling radiation- and carbon-use efficiencies of maize, sorghum, and rice. Agric For Meteorol 106:317–330
Dauzat J, Eroy MN (1997) Simulating light regime and intercrop yields in coconut based farming systems. Europ J Agron 7:63–74
Dauzat J, Rapidel B, Berger 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
Fournier RA, Landry R, August NM, Fedosejevs G, Gauthier RP (1996) Modelling light obstruction in tree conifer forests using hemispherical photography and fine tree architecture. Agric For Meteorol 82:47–72
Frazer GW, Fournier RA, Trofymow JA, Hall RJ (2001) A comparison of digital and film fisheye photography for analysis of forest canopy structure and gap light transmission. Agric For Meteorol 109:249–263
Grant RH (1997) Partitioning of biologically active radiation in plant canopies. Int J Biometeorol 40:26–40
Grant RH (1999) Ultraviolet-B and photosynthetically active radiation:sky radiation environment of inclined leaf surfaces in a maize canopy and implications for modeling. Agric For Meteorol 95:187–201
Grant RH, Heisler GM (1996) Solar ultraviolet-B and photosynthetically-active irradiance in the urban sub-canopy:a survey of influences. Int J Biometeorol 39:201–212
Hanan NP, Begue A (1995) A method to estimate instantaneous and daily intercepted photosynthetically active radiation using a hemispherical sensor. Agric For Meteorol 74:155–168
Jonckheere I, Fleck S, Nackaerts K, Muys 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
Maddonni G, Otegui M, Andrieu B, Chelle B, Casal J (2002) Maize leaves turn away from neighbors. Plant Physiol 130:1181–1189
McArthur LJB, Hay JE (1981) A technique for mapping the distribution of diffuse solar radiation over the sky hemisphere. J Appl Meteorol 20:421–429
Mõttus M (2004) Measurement and modelling of the vertical distribution of sunflecks, penumbra and umbra in willow coppice. Agric For Meteorol 121:79–91
Renaud C, Bricout F, Lepretre E (1995) Massively parallel hemispherical projection for progressive radiosity. Comput Graphics 19(2):273–279
Rosati A, Dejong TM (2003) Estimating photosynthetic radiation use efficiency using incident light and photosynthesis of individual leaves. Ann Bot 91:869–877
Ross JK (1981) The Radiation regime & architecture of plant stands. Junk, The Hague, Boston
Ross J, Mõttus M (2001) Statistical treatment of umbra length inside willow coppice. Agric For Meteorol 100:89–102
Sinoquet H, Thanisawanyangkura S, Mabrouk H, Kasemsap P (1998) Characterization of the light enviroment in canopies using 3D digitizing and image processing. Ann Bot 82:203–212
Temps RC, Coulson KL (1977) Solar radiation incident upon slopes of different orientations. Sol Energy 19:179–184
Thornley JHM (1998) Dynamic model of leaf photosynthesis with acclimation to light and nitrogen. Ann Bot 81:421–430
Thornley JHM (2004) Acclimation of photosynthesis to light and canopy nitrogen distribution: an interpretation. Ann Bot 93:473–475
Wang X, Li B, Guo Y, Zhai Z (2004) Measurement and analysis of the 3D spatial distribution of photosynthetic active radiation in maize canopy. Acta Agron Sin 30:568–576 (In Chinese with English abstract)
Wang X, Guo Y, Li B, Ma Y (2005) Modelling the three dimensional distribution of direct solar radiation in a maize canopy. Acta Ecol Sin 25:7–12 (In Chinese with English abstract)
Whitehead D, Griffin K, Turnbull M, Tissue D, Engel V, Brown K, Schuster W, Walcroft A (2004) Response of total night-time respiration to differences in total daily photosynthesis for leaves in a Quercus rubra L. canopy:implications for modelling canopy CO2 exchange. Global Change Biol 10:925–938
Xue J, Liang Z, Ma G, Lu H, Ren J (2002) A population physiological indices on density tolerance of maize in different plant type. Chin J Appl Ecol 13:55–59 (In Chinese with English abstract)
Zhao W, Qualls RJ, Berliner PR (2003) Modeling of the short wave radiation distribution in an agroforestry system. Agric For Meteorol 118:185–206
Acknowledgements
This study was sponsored by “863” Hi-Tech Research & Development Program of China (2003AA209020) and the Program for Changjiang Scholars and Innovative Research Team in University (IRT0412). We are grateful to Drs Peter Room, Sean McGinn, Tusheng Ren and Albert Weiss for their helpful comments on the manuscript. Thanks also to Zhicai Zhang, Meiping Wen and Guanglun Sheng for their assistance in field measurements.
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Wang, X., Guo, Y., Li, B. et al. Evaluating a three dimensional model of diffuse photosynthetically active radiation in maize canopies. Int J Biometeorol 50, 349–357 (2006). https://doi.org/10.1007/s00484-006-0032-0
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DOI: https://doi.org/10.1007/s00484-006-0032-0