Mathematical Comparison of Long memory in the Surface Ozone Concentration using Various Scaling Analyses

Abstract

One of the main challenges for countries located in tropical areas, is the high concentration of ozone caused by elevated levels of
anthropogenic and natural ozone precursors. The aim of this paper is to describe the characteristics of ozone concentration in Chennai, Tamil
Nadu, India, based on the value of Hurst exponent which classifies the time series. Daily mean of the hourly data of ozone concentration
from June 2011 to August 2012 is considered in this work. In this work, there are six scaling analysis, both time and frequency domain
methods are used. The result of the scaling analysis show, the estimated H values lay within 0.6 and 0.8, indicating the existence of longmemory in the ozone time series data. It was also found that the data were persistent for the period of 224 days. The existence of longmemory in a data set implies that the successive data points are highly correlated, i.e. they remain persistent for quite some time.