Area-Perimeter Relation for Rain and Cloud Areas

@article{Lovejoy1982AreaPerimeterRF,
  title={Area-Perimeter Relation for Rain and Cloud Areas},
  author={Shaun Lovejoy},
  journal={Science},
  year={1982},
  volume={216},
  pages={185 - 187}
}
  • S. Lovejoy
  • Published 9 April 1982
  • Environmental Science, Physics
  • Science
Following Mandelbrot's theory of fractals, the area-perimeter relation is used to investigate the geometry of satellite- and radar-determined cloud and rain areas between 1 and 1.2 x 106 square kilometers. The data are well fit by a formula in which the perimeter is given approximately by the square root of the area raised to the power D [See equation in the PDF], where D is interpreted as the fractal dimension of the perimeter. It is concluded that rain and cloud perimeters are fractals—they… 
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The intrinsic resolution of the satellite sensor is 6.4 km, but the data available on magnetic tape were sampled at 4.8 km to be compatible with the data from the higher resolution visible sensor