Aliased power of a stochastic temperature field on a sphere Academic Article uri icon


  • A random climate field over the globe can be decomposed into a series of spherical harmonic functions. This paper shows that the mean square sampling error for a spherical harmonic coefficient is composed of aliased powers from other spherical harmonic components due to the spatial gaps in sampling networks. A general formula is given for calculating the aliased powers. On the basis of the spectra derived from a noise-forced linear energy balance model (EBM) for the climate field the aliased powers are investigated in detail for the Gauss-Legendre networks and the latitude-longitude uniform networks. It is found that the Gauss-Legendre networks outperform the uniform networks of the same size as long as the number of stations is sufficiently large.

published proceedings

  • Journal of Geophysical Research Atmospheres

author list (cited authors)

  • Li, T. H., North, G. R., & Shen, S. S.

complete list of authors

  • Li, TH||North, GR||Shen, SS

publication date

  • February 1997