| Abstract |
: |
In the present work we have taken into account the observations of daily temperature and dew point of seven different stations viz. Kolkata, Ahmedabad, Bhopal, Agartala, Mumbai, Chennai and New Delhi. Here the spatial average of temperature and dew point of these seven stations are the signals under observation. A thorough analysis has been made to examine the multifractality and singularity within the signals. The multifractal detrended fluctuation analysis (MFDFA) and wavelet transform modulus maxima (WTMM) based on continuous wavelet transform method are being exploited to serve the present purpose. The results reveal multifractal nature of the present signals. |
| Keywords |
: |
Indian climate, Time series analysis, Multifractal detrended fluctuation analysis, Wavelet transform modulus maxima (WTMM), Continuous wavelet transform (CWT), Wavelet shrinkage, Hӧlder exponent, Hausdorff dimension, Singularity spectrum. |
| Cite this article |
: |
Rajdeep Ray, Siddhartha Dey, Mofazzal Hossain Khondekar and Koushik Ghosh, " Multifractality and singularity in average temperature and dew point across India " ,
International Journal of Advanced Technology and Engineering Exploration (IJATEE), Volume-5, Issue-43, June-2018 ,pp.107-117.DOI:10.19101/IJATEE.2018.542018 |
| References |
: |
|
[1]Chattopadhyay N, Hulme M. Evaporation and potential evapotranspiration in India under conditions of recent and future climate change. Agricultural and Forest Meteorology. 1997; 87(1):55-73.
|
| [Crossref] |
[Google Scholar] |
|
[2]Srivastava HN, Dewan BN, Dikshit SK, Prakash Rao GS, Singh SS, Rao KR. Decadal trends in climate over India. Mausam. 1992; 43(1):7-20.
|
| [Google Scholar] |
|
[3]Hingane LS, Rupa Kumar K, Ramana Murty BV. Long‐term trends of surface air temperature in India. International Journal of Climatology. 1985; 5(5):521-8.
|
| [Crossref] |
[Google Scholar] |
|
[4]Kumar KR, Hingane LS. Long-term variations of surface air temperature at major industrial cities of India. Climatic Change. 1988; 13(3):287-307.
|
| [Crossref] |
[Google Scholar] |
|
[5]Rao PG. Climatic changes and trends over a major river basin in India. Climate Research. 1993; 2:215-23.
|
| [Google Scholar] |
|
[6]Kumar KR, Kumar KK, Pant GB. Diurnal asymmetry of surface temperature trends over India. Geophysical Research Letters. 1994; 21(8):677-80.
|
| [Crossref] |
[Google Scholar] |
|
[7]Jagannathan P, Parthasarathy B. Fluctuations in the seasonal oscillations of temperature in India. Indian Journal of Meteorology and Geophysics. 1972; 23:15-22.
|
| [Google Scholar] |
|
[8]Bindu G, Anil Kumar KG. Meteorological aspects of the environment of Cochin. Doctoral Dissertation, Department of Atmospheric Sciences.1996.
|
| [Google Scholar] |
|
[9]Ivanov PC, Amaral LA, Goldberger AL, Havlin S, Rosenblum MG, Struzik ZR, et al. Multifractality in human heartbeat dynamics. Nature. 1999:461-5.
|
| [Crossref] |
[Google Scholar] |
|
[10]Oswiecimka P, Kwapien J, Drozdz S. Wavelet versus detrended fluctuation analysis of multifractal structures. Physical Review E. 2006; 74(1).
|
| [Crossref] |
[Google Scholar] |
|
[11]Kantelhardt JW, Zschiegner SA, Koscielny-Bunde E, Havlin S, Bunde A, Stanley HE. Multifractal detrended fluctuation analysis of nonstationary time series. Physica A: Statistical Mechanics and its Applications. 2002; 316(1-4):87-114.
|
| [Crossref] |
[Google Scholar] |
|
[12]Murguia JS, Perez-Terrazas JE, Rosu HC. Multifractal properties of elementary cellular automata in a discrete wavelet approach of MF-DFA. Europhysics Letters. 2009; 87(2).
|
| [Crossref] |
[Google Scholar] |
|
[13]NOAA.Climate Data Online," NOAA, 2014. http://www7.ncdc.noaa.gov/CDO/cdosubqueryrouter.cmd. Accessed 26 October 2014.
|
|
[14]Kantelhardt JW, Koscielny-Bunde E, Rego HH, Havlin S, Bunde A. Detecting long-range correlations with detrended fluctuation analysis. Physica A: Statistical Mechanics and its Applications. 2001; 295(3-4):441-54.
|
| [Crossref] |
[Google Scholar] |
|
[15]Buldyrev SV, Goldberger AL, Havlin S, Mantegna RN, Matsa ME, Peng CK, et al. Long-range correlation properties of coding and noncoding DNA sequences: GenBank analysis. Physical Review E. 1995; 51(5).
|
| [Crossref] |
[Google Scholar] |
|
[16]Hajian S, Movahed MS. Multifractal detrended cross-correlation analysis of sunspot numbers and river flow fluctuations. Physica A: Statistical Mechanics and its Applications. 2010; 389(21):4942-57.
|
| [Crossref] |
[Google Scholar] |
|
[17]Movahed MS, Jafari GR, Ghasemi F, Rahvar S, Tabar MR. Multifractal detrended fluctuation analysis of sunspot time series. Journal of Statistical Mechanics: Theory and Experiment. 2006; 2006(02).
|
| [Crossref] |
[Google Scholar] |
|
[18]Muzy JF, Bacry E, Arneodo A. Wavelets and multifractal formalism for singular signals: application to turbulence data. Physical Review Letters. 1991; 67(25).
|
| [Crossref] |
[Google Scholar] |
|
[19]Hossain KM, Ghosh DN, Ghosh K. Investigating multifractality of solar irradiance data through wavelet based multifractal spectral analysis. Signal Processing: An International Journal. 2009; 3(4):83-94.
|
| [Google Scholar] |
|
[20]Hossain KM, Ghosh DN, Ghosh K, Bhattacharya AK. Multifractality and singularity of 8B solar neutrino flux signals from sudbury neutrino observatory. IET Signal Processing. 2011; 5(7):690-700.
|
| [Crossref] |
[Google Scholar] |
|
[21]Goel PK, Vidakovic B. Wavelet transformations as diversity enhancers. Institute of Statistics & Decision Sciences, Duke University; 1995.
|
| [Google Scholar] |
|
[22]Katul G, Vidakovic B. The partitioning of attached and detached eddy motion in the atmospheric surface layer using Lorentz wavelet filtering. Boundary-Layer Meteorology. 1996; 77(2):153-72.
|
| [Crossref] |
[Google Scholar] |
|
[23]Stanley HE, Meakin P. Multifractal phenomena in physics and chemistry. Nature. 1988; 335(6189):405-9.
|
| [Crossref] |
[Google Scholar] |
|
Full-Text PDF
