The Statistical Face of a Region Under Monsoon Rainfall in Eastern India

Jana, Kaushik and Sengupta, Debasis and Kundu, Subrata and Chakraborty, Arindam and Shaw, Purnima (2019) The Statistical Face of a Region Under Monsoon Rainfall in Eastern India. In: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION .

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Abstract

A region under rainfall is a contiguous spatial area receiving positive precipitation at a particular time. The probabilistic behavior of such a region is an issue of interest in meteorological studies. A region under rainfall can be viewed as a shape object of a special kind, where scale and rotational invariance are not necessarily desirable attributes of a mathematical representation. For modeling variation in objects of this type, we propose an approximation of the boundary that can be represented as a real valued function, and arrive at further approximation through functional principal component analysis, after suitable adjustment for asymmetry and incompleteness in the data. The analysis of an open access satellite dataset on monsoon precipitation over Eastern Indian subcontinent leads to explanation of most of the variation in shapes of the regions under rainfall through a handful of interpretable functions that can be further approximated parametrically. The most important aspect of shape is found to be the size followed by contraction/elongation, mostly along two pairs of orthogonal axes. The different modes of variation are remarkably stable across calendar years and across different thresholds for minimum size of the region. for this article, including a standardized description of the materials available for reproducing the work, are available as an online supplement.

Item Type:	Journal Article
Publication:	JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
Publisher:	AMER STATISTICAL ASSOC
Additional Information:	Copyright for this article belongs to Taylor & Francis.
Department/Centre:	Division of Mechanical Sciences > Divecha Centre for Climate Change Division of Mechanical Sciences > Centre for Atmospheric & Oceanic Sciences
Date Deposited:	07 Feb 2020 06:41
Last Modified:	07 Feb 2020 06:41
URI:	http://eprints.iisc.ac.in/id/eprint/64050

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