The Analysis of Directional Time Series: Applications to Wind Speed and Direction
Given a series of wind speeds and directions from the port of Fremantle the aim of this monograph is to detect general weather patterns and seasonal characteristics. To separate the daily land and sea breeze cycle and other short-term disturbances from the general wind, the series is divided into a daily and a longer term, synoptic component. The latter is related to the atmospheric pressure field, while the former is studied in order i) to isolate particular short-term events such as calms, storms and oscillating winds, and ii) to determine the land and sea breeze cycle which dominates the weather pattern for most of the year. All these patterns are described in detail and are related to the synoptic component of the data. Two time series models for directional data and a new measure of angular association are introduced to provide the basis for certain parts of the analysis.
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45 Timo angular approximation associated atmospheric average calms chapter characteristics circular circulation coefficients compared conditional correlation corresponding daily component day in hours December decomposition defined denote dependence described determine deviation DIEGO discussion distance distribution duration easterly equation estimator example fact Figure filter Fremantle frequency function Further geostrophic component geostrophic wind given hand Hence independent indication influence knots land and sea LIBRARY light mean mean direction measure median Mises moving normal northerly Note observations obtained parameters particular pattern period presented pressure system record referred reflects relative representation residual respectively sea breeze seasonal series wt shown shows similar simulated southerly speed and direction speed in knots squares storm strong suggests summer synoptic Table transitions UNIVERSITY values variables vector westerly Whereas wind direction wind speed winter wrapped