Error assessment of grid-based direct solar radiation models

This research assessed two grid-based direct solar radiation models, ESRI’s Solar Analyst (SA) and Kumar’s model (KM), using artificial surfaces. Mathematically derived radiation on the surfaces was compared with grid-based model results. While both models showed good consistency with theoretical derivations, they both underestimated direct radiation at daily, most seasonal, and annual scales. KM performed better than SA at all the scales except at annual scale and in the summer. Horizon angle calculation and numerical integration are the common error sources in both models. Interpolation in horizontal angles and the use of a sky size parameter are the additional error sources in SA. Larger errors were found in SA when the sky size parameter and modeling time interval were not compatible. Overall, KM is a better choice for direct solar radiation modeling as it is more accurate and computationally efficient, easier to understand, and needs fewer parameters.

[1]  H. Hottel A simple model for estimating the transmittance of direct solar radiation through clear atmospheres , 1976 .

[2]  Regine Hock,et al.  Temperature index melt modelling in mountain areas , 2003 .

[3]  Ling Lu,et al.  Modification of solar radiation model over rugged terrain , 1999 .

[4]  J. Dozier,et al.  A faster solution to the horizon problem , 1981 .

[5]  A. Skidmore,et al.  Radiation-Vegetation Relationships in a Eucalyptus Forest , 2000 .

[6]  N. Thyer A theoretical explanation of mountain and valley winds by a numerical method , 1966 .

[7]  Richard G. Allen,et al.  Analytical integrated functions for daily solar radiation on slopes , 2006 .

[8]  R. Hock A distributed temperature-index ice- and snowmelt model including potential direct solar radiation , 1999, Journal of Glaciology.

[9]  Bernard Hallet,et al.  A numerical model of landform development by glacial erosion , 1988, Nature.

[10]  Raymond J. Spiteri,et al.  Implications of mountain shading on calculating energy for snowmelt using unstructured triangular meshes , 2012 .

[11]  Javier Herrero,et al.  Topographic effects on solar radiation distribution in mountainous watersheds and their influence on reference evapotranspiration estimates at watershed scale. , 2010 .

[12]  K. Jones A comparison of algorithms used to compute hill slope as a property of the DEM , 1998 .

[13]  J. Harbor Numerical modeling of the development of U-shaped valleys by glacial erosion , 1992 .

[14]  David R. Montgomery,et al.  Multi-scale curvature for automated identification of glaciated mountain landscapes☆ , 2014, Geomorphology.

[15]  Martin Funk,et al.  An enhanced temperature-index glacier melt model including the shortwave radiation balance: development and testing for Haut Glacier d'Arolla, Switzerland , 2005 .

[16]  M. Hoelzle,et al.  A model of potential direct solar radiation for investigating occurrences of mountain permafrost , 1992 .

[17]  Yong Q. Tian,et al.  Estimating solar radiation on slopes of arbitrary aspect , 2001 .

[18]  J. Tovar-Pescador,et al.  A comparative analysis of DEM‐based models to estimate the solar radiation in mountainous terrain , 2009, Int. J. Geogr. Inf. Sci..

[19]  Xingong Li,et al.  Snowmelt runoff modelling in an arid mountain watershed, Tarim Basin, China , 2008 .

[20]  Javier G. Corripio,et al.  Vectorial algebra algorithms for calculating terrain parameters from DEMs and solar radiation modelling in mountainous terrain , 2003, Int. J. Geogr. Inf. Sci..

[21]  P. Burlando,et al.  Transmission of solar radiation through clouds on melting glaciers: a comparison of parameterizations and their impact on melt modelling , 2011, Journal of Glaciology.

[22]  Ralph Dubayah,et al.  Topographic Solar Radiation Models for GIS , 1995, Int. J. Geogr. Inf. Sci..

[23]  Lalit Kumar,et al.  Modelling Topographic Variation in Solar Radiation in a GIS Environment , 1997, Int. J. Geogr. Inf. Sci..

[24]  M. Iqbal,et al.  EXTRATERRESTRIAL SOLAR IRRADIATION , 1983 .

[25]  Jing Li,et al.  GIS-based modelling of topography-induced solar radiation variability in complex terrain for data sparse region , 2012, Int. J. Geogr. Inf. Sci..

[26]  Jaroslav Hofierka,et al.  A New GIS‐based Solar Radiation Model and Its Application to Photovoltaic Assessments , 2004, Trans. GIS.

[27]  Lalit Kumar,et al.  Effect of rounding off elevation values on the calculation of aspect and slope from a gridded digital elevation model , 2013 .

[28]  J. Dozier,et al.  Rapid calculation of terrain parameters for radiation modeling from digital elevation data , 1990 .

[29]  T. G. Freeman,et al.  Calculating catchment area with divergent flow based on a regular grid , 1991 .

[30]  M. Iqbal An introduction to solar radiation , 1983 .

[31]  Paul M. Rich,et al.  A manual for analysis of hemispherical canopy photography , 1989 .

[32]  Xuejun Liu,et al.  Error assessment of grid-based flow routing algorithms used in hydrological models , 2002, Int. J. Geogr. Inf. Sci..

[33]  D. Yogi Goswami,et al.  Principles of Solar Engineering , 1978 .