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Understanding Sea Ice Melting Via Functional Data Analysis


Affiliations
1 Chennai Mathematical Institute, Chennai - 603103, India
 

We have addressed the problem of sea ice extent (SIE) melting for Arctic and Southern Ocean. The ‘satellite passive microwave remote sensing data’ for daily SIE over a year has been considered as a smooth continuous function, called functional data. The analysis of the mean function of SIE over the different year-blocks and 95% bootstrap confidence bands for Arctic Ocean shows a statistically significant drop in SIE. Additional evidence of SIE melting in the Arctic Ocean is provided through phase plane analysis. During the summer, the SIE is observed about 30% less in the current year-block than that of the first year-block.

Keywords

Arctic Ocean, Bootstrap and Confidence Band, Mean Function, Sea Ice Extent, Southern Ocean.
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  • Understanding Sea Ice Melting Via Functional Data Analysis

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Authors

Purba Das
Chennai Mathematical Institute, Chennai - 603103, India
Ananya Lahiri
Chennai Mathematical Institute, Chennai - 603103, India
Sourish Das
Chennai Mathematical Institute, Chennai - 603103, India

Abstract


We have addressed the problem of sea ice extent (SIE) melting for Arctic and Southern Ocean. The ‘satellite passive microwave remote sensing data’ for daily SIE over a year has been considered as a smooth continuous function, called functional data. The analysis of the mean function of SIE over the different year-blocks and 95% bootstrap confidence bands for Arctic Ocean shows a statistically significant drop in SIE. Additional evidence of SIE melting in the Arctic Ocean is provided through phase plane analysis. During the summer, the SIE is observed about 30% less in the current year-block than that of the first year-block.

Keywords


Arctic Ocean, Bootstrap and Confidence Band, Mean Function, Sea Ice Extent, Southern Ocean.

References





DOI: https://doi.org/10.18520/cs%2Fv115%2Fi5%2F920-929