Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-wzw2p Total loading time: 0 Render date: 2024-04-30T16:04:49.640Z Has data issue: false hasContentIssue false

42 - The use of empirical orthogonal functions for rainfall estimates

Published online by Cambridge University Press:  05 November 2011

P. R. Rakhecha
Affiliation:
Indian Institute of Tropical Meteorology
B. N. Mandal
Affiliation:
Indian Institute of Tropical Meteorology
Get access

Summary

In the present study the empirical orthogonal function or ‘eigenvector’ approach is used to determine the dominant rainfall patterns from normal seasonal rainfall records over Rajasthan. Two contrasting years (1917 and 1918) in which rainfall was in excess and deficient are also examined separately to see what anomalies, if any, exist in the associated patterns. Empirical orthogonal functions or eigenvectors are derived from the sets of 12-monthly rainfall values of 40 stations in Rajasthan. In the years of normal rainfall the first eigenvector is found to account for 99%; of the variance in the original 12 × 40 matrix of rainfall data, thus indicating that the entire area is homogeneous as far as the normal seasonal variation of rainfall is concerned. However, in years of excessive or deficient rainfall, 3 or 4 vectors are needed to account for 99%; of the variance. The first eigenvector in practically all cases largely resembles the seasonal variation of rainfall over the area, while the higher-order eigenvectors arise mainly as adjustment vectors to account for the balance of the variance. The eigenfunctions are used to estimate the mean monthly rainfall for places having no rainfall records. It is found that a reasonably good estimate of the normal seasonal distribution of rainfall over Rajasthan is given by just one vector.

Introduction

Empirical orthogonal functions, Tchebycheff polynomials and simple mathematical functions have been used to dissect two-dimensional fields of meteorological data.

Type
Chapter
Information
Monsoon Dynamics , pp. 627 - 638
Publisher: Cambridge University Press
Print publication year: 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×