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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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  • Ramsay, J. O. and Silverman, B. W., Functional Data Analysis, Springer, 2nd edn, 2005.

  • Wang, J.-L., Chiou, J.-M. and Müller, H.-G., Functional data analysis. Ann. Rev. Stat. Appl., 2016, 3, 257–295.

  • Ramsay, J. O. and Silverman, B. W., Applied Functional Data Analysis: Methods and Case Studies, Springer, 2002, 2nd edn.

  • Parkinson, C. L., Cavalieri, D. J., Gloersen, P., Zwally, H. J. and Comiso, J. C., Arctic sea ice extents, areas, and trends 1978–1996. J. Geophys. Res. Oceans, 1999, 104, 20837–20856.

  • Johannessen, O. M., Shalina, E. V. and Miles, M. W., Satellite evidence for an Arctic sea ice cover in transformation. Science, 1999, 286, 1937–1939.

  • Comiso, J. C., A rapidly declining perennial sea ice cover in the Arctic. Geophys. Res. Lett., 2002, 29(20), 17-1–17-4.

  • Stroeve, J., Holland, M. M., Meier, W., Scambos, T. and Serreze, M. C., Arctic sea ice decline: faster than forecast. Geophys. Res. Lett., 2007, 34(9), 1–5.

  • Comiso, J. C., Parkinson, C. L., Gersten, R. and Stock, L., Accelerated decline in the Arctic sea ice cover. Geophys. Res. Lett., 2008, 35(1), 1–5.

  • Vihma, T., Effects of Arctic Sea ice decline on weather and climate: a review. Surv. Geophys., 2014, 35(5), 1175–1214.

  • Josefino, C. C., Global changes in the sea ice cover and associated surface temperature changes. ISPRS – international archives of the photogrammetry. Remote Sensing Spatial Infor. Sci., 2016, XLIB8, 469–479.

  • Ramsay, J. O., Wickham, H., Graves, S. and Hooker, G., Functional Data Analysis, 2014, R package v 2.4.4.

  • Efron, B. and Tibshirani, R. J., An Introduction to the Bootstrap, CRC Press, 1st edn, 1994.


Abstract Views: 291

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  • Understanding Sea Ice Melting Via Functional Data Analysis

Abstract Views: 291  |  PDF Views: 89

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