A waveform skewness index for measuring time series nonlinearity and its applications to the ENSO–Indian monsoon relationship

Schulte, Justin; Policelli, Frederick; Zaitchik, Benjamin

doi:https://doi.org/10.5194/npg-29-1-2022

Articles | Volume 29, issue 1

https://doi.org/10.5194/npg-29-1-2022

© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.

https://doi.org/10.5194/npg-29-1-2022

© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.

Articles | Volume 29, issue 1

Research article

|

10 Jan 2022

Research article |

| 10 Jan 2022

A waveform skewness index for measuring time series nonlinearity and its applications to the ENSO–Indian monsoon relationship

Justin Schulte, Frederick Policelli, and Benjamin Zaitchik

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Final revised paper (published on 10 Jan 2022)
Supplement to the final revised paper
Preprint (discussion started on 17 Dec 2020)

Interactive discussion

Status: closed

AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment

- Printer-friendly version

- Supplement

SC1: 'Skewness is a property of wave equation solutions', Paul Pukite, 19 Dec 2020
- AC3: 'Reply on SC1', Justin Schulte, 30 Mar 2021
RC1: 'Review of the manuscript ‘A Waveform Skewness Index for Measuring Time Series Nonlinearity and its Applications to the ENSO-Indian Monsoon Relationship’ by Justin Schulte, Frederick Policelli, and Benjamin Zaitchik.', Anonymous Referee #1, 11 Jan 2021
- AC1: 'Reply on RC1', Justin Schulte, 30 Mar 2021
RC2: 'Comments', RATHINASAMY MAHESWARAN, 17 Feb 2021
- AC2: 'Reply on RC2', Justin Schulte, 30 Mar 2021

Peer-review completion

AR: Author's response | RR: Referee report | ED: Editor decision

AR by Justin Schulte on behalf of the Authors (20 Jun 2021) Author's response Author's tracked changes Manuscript

ED: Publish subject to minor revisions (review by editor) (05 Jul 2021) by Norbert Marwan

AR by Justin Schulte on behalf of the Authors (24 Jul 2021) Author's response Author's tracked changes Manuscript

ED: Publish as is (02 Aug 2021) by Norbert Marwan

AR by Justin Schulte on behalf of the Authors (12 Aug 2021) Author's response Manuscript

Short summary

The skewness of a time series is commonly used to quantify the extent to which positive (negative) deviations from the mean are larger than negative (positive) ones. However, in some cases, traditional skewness may not provide reliable information about time series skewness, motivating the development of a waveform skewness index in this paper. The waveform skewness index is used to show that changes in the relationship strength between climate time series could arise from changes in skewness.