On the synthesis of random field sampling from the spectrum: An application to the generation of hydrologic spatial processes Academic Article uri icon


  • A procedure for the synthesis of processes exhibiting temporal and spatial variability is presented. The method involves the addition of harmonics of random frequencies that are sampled from the spectral density function or the radial spectral density function. The process obtained is asymptotically Gaussian and ergodic. An estimate of the error in time or space averages due to the nonergodicity of the process as a function of the number of harmonics is also included. Copyright 1974 by the American Geophysical Union.

published proceedings

  • Water Resources Research

altmetric score

  • 3

author list (cited authors)

  • Meja, J. M., & RodrguezIturbe, I.

citation count

  • 130

complete list of authors

  • Mejía, José M||Rodríguez‐Iturbe, Ignacio

publication date

  • August 1974