Existence of fractal behaviour in ozone time series

Fractal has received a wide attention and has been used in many areas such as meteorology, stock market and also in medical field. It can be viewed as an object which has similar appearance when viewed at different scales which are known as self-similar. Thus, the scale invariance and scaling proper...

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Main Authors: Nuryazmin Ahmat Zainuri, Abdul Aziz Jemain, Nora Muda
Format: Article
Language:English
Published: Pusat Pengajian Sains Matematik, Fakulti Sains dan Teknologi, Universiti Kebangsaan Malaysia 2016
Online Access:http://journalarticle.ukm.my/10207/
http://journalarticle.ukm.my/10207/1/jqma-12-1_2-paper9.pdf
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author Nuryazmin Ahmat Zainuri,
Abdul Aziz Jemain,
Nora Muda,
author_facet Nuryazmin Ahmat Zainuri,
Abdul Aziz Jemain,
Nora Muda,
author_sort Nuryazmin Ahmat Zainuri,
building UKM Institutional Repository
collection Online Access
description Fractal has received a wide attention and has been used in many areas such as meteorology, stock market and also in medical field. It can be viewed as an object which has similar appearance when viewed at different scales which are known as self-similar. Thus, the scale invariance and scaling properties of the time series may be explored using fractal techniques. The aim of this study is to investigate the presence of fractal behaviour in the ozone time series. The presence of fractal behaviour can lead to the possibility of implementing the fractal approach in order to examine the properties of a time series. In this study, the daily average of ozone concentration from six selected air monitoring stations with different types of backgrounds in Peninsular Malaysia are used. From the autocorrelation function (ACF) plot obtained for the six stations, the slow decay in ACF values indicates that self-similarity are present where it shows that the series is having the property of fractal behaviour. In this paper, the existence of fractal behaviour is investigated by using the power spectrum method and the empirical probability distribution function. The result shows that the daily average of ozone concentration exhibits fractal behaviour for all the six monitoring stations considered.
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spelling oai:generic.eprints.org:102072017-03-15T07:28:08Z http://journalarticle.ukm.my/10207/ Existence of fractal behaviour in ozone time series Nuryazmin Ahmat Zainuri, Abdul Aziz Jemain, Nora Muda, Fractal has received a wide attention and has been used in many areas such as meteorology, stock market and also in medical field. It can be viewed as an object which has similar appearance when viewed at different scales which are known as self-similar. Thus, the scale invariance and scaling properties of the time series may be explored using fractal techniques. The aim of this study is to investigate the presence of fractal behaviour in the ozone time series. The presence of fractal behaviour can lead to the possibility of implementing the fractal approach in order to examine the properties of a time series. In this study, the daily average of ozone concentration from six selected air monitoring stations with different types of backgrounds in Peninsular Malaysia are used. From the autocorrelation function (ACF) plot obtained for the six stations, the slow decay in ACF values indicates that self-similarity are present where it shows that the series is having the property of fractal behaviour. In this paper, the existence of fractal behaviour is investigated by using the power spectrum method and the empirical probability distribution function. The result shows that the daily average of ozone concentration exhibits fractal behaviour for all the six monitoring stations considered. Pusat Pengajian Sains Matematik, Fakulti Sains dan Teknologi, Universiti Kebangsaan Malaysia 2016-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/10207/1/jqma-12-1_2-paper9.pdf Nuryazmin Ahmat Zainuri, and Abdul Aziz Jemain, and Nora Muda, (2016) Existence of fractal behaviour in ozone time series. Journal of Quality Measurement and Analysis, 12 (1-2). pp. 97-106. ISSN 1823-5670 http://www.ukm.my/jqma/jqma12_1_2a.html
spellingShingle Nuryazmin Ahmat Zainuri,
Abdul Aziz Jemain,
Nora Muda,
Existence of fractal behaviour in ozone time series
title Existence of fractal behaviour in ozone time series
title_full Existence of fractal behaviour in ozone time series
title_fullStr Existence of fractal behaviour in ozone time series
title_full_unstemmed Existence of fractal behaviour in ozone time series
title_short Existence of fractal behaviour in ozone time series
title_sort existence of fractal behaviour in ozone time series
url http://journalarticle.ukm.my/10207/
http://journalarticle.ukm.my/10207/
http://journalarticle.ukm.my/10207/1/jqma-12-1_2-paper9.pdf