Ebook: 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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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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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.
Content:
Front Matter....Pages I-VIII
Front Matter....Pages 1-1
Introduction....Pages 3-17
The Initial Decomposition....Pages 19-53
The Geostrophic Component....Pages 55-90
The Land and Sea Breeze Cycle....Pages 91-112
Short-Term Events....Pages 113-127
Front Matter....Pages 129-129
Time Series Models for Directional Data....Pages 131-141
Measures of Angular Association....Pages 143-167
Comparison of Different Measures of Association....Pages 169-182
Inference from the Wrapped Autoregressive Process....Pages 183-205
Application to Series of Residual Wind Directions....Pages 207-215
Conclusions and Summary of Results....Pages 217-221
Back Matter....Pages 223-238

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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.
Content:
Front Matter....Pages I-VIII
Front Matter....Pages 1-1
Introduction....Pages 3-17
The Initial Decomposition....Pages 19-53
The Geostrophic Component....Pages 55-90
The Land and Sea Breeze Cycle....Pages 91-112
Short-Term Events....Pages 113-127
Front Matter....Pages 129-129
Time Series Models for Directional Data....Pages 131-141
Measures of Angular Association....Pages 143-167
Comparison of Different Measures of Association....Pages 169-182
Inference from the Wrapped Autoregressive Process....Pages 183-205
Application to Series of Residual Wind Directions....Pages 207-215
Conclusions and Summary of Results....Pages 217-221
Back Matter....Pages 223-238
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