Streets and buildings’ orientation entropies and the city’s rooftops’ solar potentials

  • Sara NajemEmail author
Regular Article


We explore the relation between urban street networks’ characteristics particularly circuitry, street orientation entropy, road network length, mean and standard deviation of the streets’ orientations, on the one hand, and the buildings’ orientation entropy along with the mean and standard deviation of their orientations, on the other hand, in order to quantify their effect on the city’s solar potential. The latter is shown to be controlled by the constrains of land form on the streets and buildings’ orientations. These statistical measures of the road network reveal the interplay between the built environment’s design and its sustainability


  1. 1.
    M. Shepperson, Sunlight and Shade in the First Cities: A sensory archaeology of early Iraq, Vol. 1 (Vandenhoeck & Ruprecht, 2017)Google Scholar
  2. 2.
    N. Mohajeri, G. Upadhyay, A. Gudmundsson, D. Assouline, J. Kämpf, J.-L. Scartezzini, Renew. Energy 93, 469 (2016)CrossRefGoogle Scholar
  3. 3.
    S. Paz, R. Greenberg, J. Mediterr. Archaeol. 29, 197 (2016)CrossRefGoogle Scholar
  4. 4.
    N. Mohajeri, A. Gudmundsson, J. Geogr. Sci. 24, 363 (2014)CrossRefGoogle Scholar
  5. 5.
    D. Li, G. Liu, S. Liao, Sol. Energy 111, 225 (2014)ADSCrossRefGoogle Scholar
  6. 6.
    F. Chabane, N. Moummi, A. Brima, Eur. Phys. J. Plus 131, 277 (2016)CrossRefGoogle Scholar
  7. 7.
    C. Chatzipoulka, R. Compagnon, M. Nikolopoulou, Sol. Energy 138, 53 (2016)ADSCrossRefGoogle Scholar
  8. 8.
    V. Chen, K. Steemers, M. Montavon, R. Compagnon, Compact cities in a sustainable manner, in 2nd International Solar Cities Congress (2006) number LESO-PB-CONF-2006-001Google Scholar
  9. 9.
    M. Guermoui, K. Gairaa, A. Rabehi, D. Djafer, S. Benkaciali, Eur. Phys. J. Plus 133, 421 (2018)CrossRefGoogle Scholar
  10. 10.
    M. Guermoui, A. Rabehi, K. Gairaa, S. Benkaciali, Eur. Phys. J. Plus 133, 798 (2018)Google Scholar
  11. 11.
    K.S. Lee, J.W. Lee, J.S. Lee, Renew. Energy 85, 749 (2016)CrossRefGoogle Scholar
  12. 12.
    H. Sanaieian, M. Tenpierik, K. van den Linden, F.M. Seraj, S.M.M. Shemrani, Renew. Sustain. Energy Rev. 38, 551 (2014)CrossRefGoogle Scholar
  13. 13.
    M. Batty, Environ. Plan. B: Plan. Design 35, 1 (2008)CrossRefGoogle Scholar
  14. 14.
    N. Mohajeri, A. Gudmundsson, T. Kunckler, G. Upadhyay, D. Assouline, J. Kämpf, J. Scartezzini, How street-canyon configurations affect the potential of solar energy, in PLEA 2016 Los Angeles - 36th International Conference on Passive and Low Energy Architecture. Cities, Buildings, People: Towards Regenerative Environments (2016)Google Scholar
  15. 15.
    N. Nasrollahi, E. Shokri, Renew. Sustain. Energy Rev. 66, 861 (2016)CrossRefGoogle Scholar
  16. 16.
    N. Mohajeri, A. Gudmundsson, J. Kämpf, Visualizing street orientation and solar radiation in relation to complex topography, in Proceedings of the EuroGraphics 2014 on Urban Data Modelling and Visualisation (2014)Google Scholar
  17. 17.
    B. Hillier, J. Hanson, The social logic of space (Cambridge University Press, 1984)Google Scholar
  18. 18.
    M. Batty, P.A. Longley, Fractal Cities: A Geometry of Form and Function (Academic Press, 1994)Google Scholar
  19. 19.
    C. Bovill, Fractal Geometry in Architecture and Design (Springer, 1996)Google Scholar
  20. 20.
    D.J. Giacomin, D.M. Levinson, Environ. Plan. B: Plan. Design 42, 1040 (2015)CrossRefGoogle Scholar
  21. 21.
    D. Levinson, PLoS ONE 7, e29721 (2011)ADSCrossRefGoogle Scholar
  22. 22.
    R. Louf, M. Barthelemy, J. R. Soc. Interface 11, 20140924 (2014)CrossRefGoogle Scholar
  23. 23.
    M. Barthélemy, Phys. Rep. 499, 1 (2010)CrossRefGoogle Scholar
  24. 24.
    A. Gudmundsson, N. Mohajeri, Nat. Sci. Rep. 3, 47 (2013)Google Scholar
  25. 25.
    D. Levinson, PLoS ONE 7, e29721 (2012)ADSCrossRefGoogle Scholar
  26. 26.
    S. Najem, Phys. Rev. E 95, 012323 (2017)ADSCrossRefGoogle Scholar
  27. 27.
    Open Street Map Project (2016)
  28. 28.
    Google (2018-04), Project sunroof,
  29. 29.
    A.G. Wilson, Entropy in Urban and Regional Modelling, Vol. 1, (Routledge, 2011)Google Scholar
  30. 30.
    A.Z. Panagiotopoulos, Essential Thermodynamics, Vol. 1 (Drios Press, 2011)Google Scholar
  31. 31.
    D.C. Mays, B.A. Faybishenko, S. Finsterle, Water Resour. Res. 38, 49 (2002)ADSCrossRefGoogle Scholar
  32. 32.
    V. Singh, Stoch. Hydrol. Hydraul. 11, 423 (1997)CrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.National Center for Remote SensingCNRS-LBeirutLebanon

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