AN OPTIMAL METHOD TO ESTIMATE THE SPHERICAL HARMONIC COMPONENTS OF THE SURFACE AIR TEMPERATURE

• Published in: Environmetrics (London, Ont.) Vol. 7; no. 3; pp. 261 - 276
• Main Authors: SHEN, SAMUEL S., NORTH, GERALD R., KIM, KWANG-Y.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 01.05.1996; Wiley
• Subjects: Earth, ocean, space; Exact sciences and technology; External geophysics; Geophysics. Techniques, methods, instrumentation and models; mean square error; noise forced EBM; optimal weights; sampling; spherical harmonics; surface air temperature; Sampling error; Spherical harmonic; Surface temperature; Atmospheric temperature; Optimal estimation; Mean square error

This paper describes a method that minimizes the mean squared error (MSE) in estimating the spherical harmonic components of the surface air temperature field. The ratio of the MSE to the variance of the spherical harmonic component is expressed in terms of the length scale λ0, and the positions and...