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A Model to Calculate what a Remote Sensor ‘Sees’ of an Urban Surface

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Abstract

Whilst the measurement of radiation emissions from a surface is relatively straightforward, correct interpretation and proper utilization of the information requires that the surface area ‘seen’ be known accurately. This becomes non-trivial when the target is an urban surface, due to its complex three-dimensional form and the different thermal, radiative and moisture properties of its myriad surface facets. The geometric structure creates shade patterns in combination with the solar beam and obscures portions of the surface from the sensor, depending on where it is pointing and its field-of-view (FOV). A model to calculate these surface-sensor-sun relations (SUM) is described. SUM is tested against field and scale model observations, and theoretical calculations, and found to perform well. It can predict the surface area ‘seen’ by a sensor of known FOV pointing in any direction when placed at any point in space above a specified urban surface structure. Moreover, SUM can predict the view factors of the roof, wall and ground facets ‘seen’ and whether they are sunlit or shaded at any location and time of day. SUM can be used to determine the optimal placement and orientation of remote sensors to study urban radiation emissions; if the facet temperatures are known or modelled it can calculate the average temperature of the system, and it can determine the directional variation of temperature (anisotropy) due to any particular surface-sensor-sun geometric combination. The present surface geometry used in SUM is relatively simple, but there is scope to make it increasingly realistic.

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References

  • Ashdown, I.: 1994, Radiosity: A Programmer's Perspective, John Wiley and Sons Inc., 497 pp.

  • Baum, D. R., Rushmeier, H. E., and Winget, J. M.: 1989, ‘Improving Radiosity Solutions through the Use of Analytically Determined Form Factors’, Comput. Graph. 23, 325–334.

    Google Scholar 

  • Caselles, V. and Sobrino, J. A.: 1989: ‘Determination of Frost in Orange Groves from NOAA-9 AVHRR Data’, Rem. Sens. Environ. 29, 135–146.

    Article  Google Scholar 

  • Caselles, V., Sobrino, J. A., and Coll, C.: 1992, ‘A Physical Model for Interpreting the Land Surface Temperature Obtained by Remote Sensors over Incomplete Canopies’, Rem. Sens. Environ. 39, 203–211.

    Article  Google Scholar 

  • Ellefsen, R.: 1990, ‘Mapping and Measuring Buildings in the Canopy Boundary Layer in Ten U.S. Cities’, Energ. Build. 15-16, 1025–1049.

    Google Scholar 

  • Hottel, H. C. and Sarofim, A. F.: 1967, Radiative Transfer, McGraw-Hill, New York, 520 pp.

    Google Scholar 

  • Iino, A. and Hoyano, A.: 1996, ‘Development of a Method to Predict the Heat Island Potential Using Remote Sensing and GIS Data’, Energ. Build. 23, 199–205.

    Article  Google Scholar 

  • Jackson, R. D., Reginato, R. J., Pinter, P. J. J., and Idso, S. B.: 1979, ‘Plant Canopy Information Extraction from Composite Scene Reflectance of Row Crops’, Appl. Optics 18, 3775–3782.

    Google Scholar 

  • Johnson, R. B. and Branstetter, E. E.: 1974, ‘Integration of Planck's Equation by the Laguerre-Gauss Quadrature Method’, J. Optic. Soc. Amer. 64, 1445–1449.

    Google Scholar 

  • Kimes, D. S. and Kirchener, J. A.: 1983, ‘Directional Radiometric Measurements of Row-Crop Temperatures’, Int. J. Rem. Sens. 4, 299–311.

    Google Scholar 

  • Kimes, D. S., Holben, B. N., Tucker, C. J., and Newcomb, W. W.: 1984, ‘Optimal Directional View Angles for Remote Sensing Missions’, Int. J. Rem. Sens. 5, 887–908.

    Google Scholar 

  • Kimes, D. S., Smith, J. A., and Link, L. E.: 1981, ‘Thermal IR Exitance Model of a Plant Canopy’, Appl. Optics 20, 623–632.

    Google Scholar 

  • Myrup, L. O.: 1969, ‘A Numerical Model of the Urban Heat Island’, J. Appl. Meteorol. 8, 908–918.

    Article  Google Scholar 

  • Nichol, J. E.: 1998, ‘Visualisation of Urban Surface Temperatures Derived from Satellite Images’, Int. J. Rem. Sens. 19, 1639–1649.

    Article  Google Scholar 

  • Oke, T. R.: 1981, ‘Canyon Geometry and the Nocturnal Urban Heat Island: Comparison of Scale Model and Field Observations’, J. Climate 1, 237–254.

    Google Scholar 

  • Roth, M., Oke, T. R., and Emery, W. J.:, 1989, ‘Satellite-Derived Urban Heat Islands from Three Coastal Cities and the Utilization of Such Data in Urban Climatology’, Int. J. Rem. Sens. 19, 105–115.

    Google Scholar 

  • Schmid, H. P.: 1997, ‘Experimental Design for Flux Measurements: Matching Scales of Observations and Fluxes’, Agric. For. Meteorol. 87, 179–200.

    Article  Google Scholar 

  • Sobrino, J. A. and Caselles, V.: 1990, ‘Thermal Infrared Radiance Model for Interpreting the Directional Radiometric Temperature of a Vegetative Surface’, Rem. Sens. Environ. 33, 193–199.

    Article  Google Scholar 

  • Sobrino, J. A., Caselles, V., and Becker, F.: 1990, ‘Significance of the Remotely Sensed Thermal Infrared Measurements Obtained over a Citrus Orchard’, ISPRS J. Photogramm. Rem. Sens. 44, 343–354.

    Article  Google Scholar 

  • Soux, A.: 2000, Modelling Surface Structure and Temperature of Relevance to Remote Sensing of Cities, M.Sc. Dissertation, Geography, University of British Columbia, Vancouver, B.C., 101 pp.

    Google Scholar 

  • Sutherland, R. A. and Bartholic, J. F.: 1977, ‘Significance of Vegetation in Interpreting Thermal Radiation from a Terrestrial Surface’, J. Appl. Meteorol. 16, 759–763.

    Article  Google Scholar 

  • Voogt, J. A.: 1995, Remote Sensing of Urban Surface Temperatures, Ph.D. Dissertation, University of British Columbia, Vancouver, B.C., Geography, University of British Columbia, 340 pp.

    Google Scholar 

  • Voogt, J. A. and Oke, T. R.: 1997, ‘Complete Surface Temperatures’, J. Appl. Meteorol. 36, 1117–1132.

    Article  Google Scholar 

  • Voogt, J. A. and Oke, T. R.: 1998a, ‘Effects of Urban Surface Geometry on Remotely-Sensed Surface Temperature’, Int. J. Rem. Sens. 19, 895–920.

    Article  Google Scholar 

  • Voogt, J. A. and Oke, T. R.: 1998b, ‘Radiometric Temperatures of Urban Canyon Walls Obtained from Vehicle Traverses’, Theor. Appl. Climatol. 60, 199–217.

    Article  Google Scholar 

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Soux, A., Voogt, J.A. & Oke, T.R. A Model to Calculate what a Remote Sensor ‘Sees’ of an Urban Surface. Boundary-Layer Meteorology 112, 401–424 (2004). https://doi.org/10.1023/B:BOUN.0000027978.21230.b7

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  • DOI: https://doi.org/10.1023/B:BOUN.0000027978.21230.b7

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