Estimating Unknown Cycles in Geophysical Data

Abstract Examples of cyclic (periodic) behavior in geophysical data abound. In many cases the primary period is known, such as in daily measurements of rain, temperature, and sea level. However, many time series of measurements contain cycles of unknown or varying length. We consider the problem of...

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Main Authors: Xueheng Shi, Colin Gallagher
Format: Article
Language:English
Published: American Geophysical Union (AGU) 2019-12-01
Series:Earth and Space Science
Subjects:
Online Access:https://doi.org/10.1029/2018EA000451
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author Xueheng Shi
Colin Gallagher
author_facet Xueheng Shi
Colin Gallagher
author_sort Xueheng Shi
collection DOAJ
description Abstract Examples of cyclic (periodic) behavior in geophysical data abound. In many cases the primary period is known, such as in daily measurements of rain, temperature, and sea level. However, many time series of measurements contain cycles of unknown or varying length. We consider the problem of estimating the unknown period in a time series. We review the basic methods, compare their performance through a simulation study using observed sea level data, apply them to an astronomical data set, and discuss generalizations of the methods.
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spelling doaj.art-2da5609f3b074578af21ee812a5d58992022-12-22T03:53:19ZengAmerican Geophysical Union (AGU)Earth and Space Science2333-50842019-12-016122232224010.1029/2018EA000451Estimating Unknown Cycles in Geophysical DataXueheng Shi0Colin Gallagher1Department of Mathematical Sciences Clemson University Clemson SC USADepartment of Mathematical Sciences Clemson University Clemson SC USAAbstract Examples of cyclic (periodic) behavior in geophysical data abound. In many cases the primary period is known, such as in daily measurements of rain, temperature, and sea level. However, many time series of measurements contain cycles of unknown or varying length. We consider the problem of estimating the unknown period in a time series. We review the basic methods, compare their performance through a simulation study using observed sea level data, apply them to an astronomical data set, and discuss generalizations of the methods.https://doi.org/10.1029/2018EA000451cycletime seriesestimation
spellingShingle Xueheng Shi
Colin Gallagher
Estimating Unknown Cycles in Geophysical Data
Earth and Space Science
cycle
time series
estimation
title Estimating Unknown Cycles in Geophysical Data
title_full Estimating Unknown Cycles in Geophysical Data
title_fullStr Estimating Unknown Cycles in Geophysical Data
title_full_unstemmed Estimating Unknown Cycles in Geophysical Data
title_short Estimating Unknown Cycles in Geophysical Data
title_sort estimating unknown cycles in geophysical data
topic cycle
time series
estimation
url https://doi.org/10.1029/2018EA000451
work_keys_str_mv AT xuehengshi estimatingunknowncyclesingeophysicaldata
AT colingallagher estimatingunknowncyclesingeophysicaldata