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You can make a temperature profile in ArcGIS. Open the LANDSAT thermal image in ArcMap and then using 3D Analyst you can draw a profile line to create a temperature profile ( example: from the the city centre to city outskirts ) P.S.: how did you calculated LST from the LANDSAT image ? Did you just obtained the brightness LST temperature or did you calibrated the image to emisivity and atmosferic correction ? (Qin et al. 2001 algorithm or Sobrino & Jimenez 2003 algorithm ) ??