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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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American Geophysical Union (AGU)
2019-12-01
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Series: | Earth and Space Science |
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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. |
first_indexed | 2024-04-12T01:35:56Z |
format | Article |
id | doaj.art-2da5609f3b074578af21ee812a5d5899 |
institution | Directory Open Access Journal |
issn | 2333-5084 |
language | English |
last_indexed | 2024-04-12T01:35:56Z |
publishDate | 2019-12-01 |
publisher | American Geophysical Union (AGU) |
record_format | Article |
series | Earth and Space Science |
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 |