In this work, the multifractal properties of wind speed and solar radiation are studied in a small region in which a wide variety of micro-climates are concentrated. To achieve this, two years of hourly data are analyzed in Guadeloupe archipelago. The four selected stations for wind speed were chosen according to trade winds direction, while solar radiation is recorded at a representative location at the center of the island. First, the results of the multifractal detrended fluctuation analysis (MF-DFA) showed the multifractal and persistent behaviors of wind speed at all locations. Due to the continental effect that increases along the transect, the Hurst exponent () values decrease from east to west. In addition, the MF-DFA clearly highlighted the presence of a nocturnal radiative layer that weakens wind speed in the surface layer. The multifractality degree [] values confirm the peculiarity of wind speed regimes at the center of the island. Thereafter, the MF-DFA results of solar radiation exhibited its multifractal and persistent behavior. Due to the solar radiation planetary scale, its is lower than those obtained for wind speed, which strongly depends on synoptic and local scales. The source of multifractality of wind speed and solar radiation is due to correlations of small and large fluctuations. Finally, the results of the multifractal detrended cross-correlation analysis between wind speed and solar radiation pointed out that the multifractal cross-correlation degree [] is identical for each site, which is not the case for Hurst exponent values.
REFERENCES
1
André
, M.
, Dabo-Niang
, S.
, Soubdhan
, T.
, and Ould-Baba
, H.
, “Predictive spatio-temporal model for spatially sparse global solar radiation data
,” Energy
111
, 599
–608
(2016
). 2
André
, M.
, Perez
, R.
, Soubdhan
, T.
, Schlemmer
, J.
, Calif
, R.
, and Monjoly
, S.
, “Preliminary assessment of two spatio-temporal forecasting technics for hourly satellite-derived irradiance in a complex meteorological context
,” Sol. Energy
177
, 703
–712
(2019
). 3
dos Anjos
, P. S.
, da Silva
, A. S. A.
, Stošić
, B.
, and Stošić
, T.
, “Long-term correlations and cross-correlations in wind speed and solar radiation temporal series from Fernando de Noronha Island, Brazil
,” Physica A
424
, 90
–96
(2015
). 4
Bertin
, A.
and Frangi
, J. P.
, “Contribution to the study of the wind and solar radiation over Guadeloupe
,” Energy Convers. Manage.
75
, 593
–602
(2013
). 5
Brévignon
, C.
, Atlas Climatique: L’environnement Atmosphérique de la Guadeloupe, de Saint-Barthélémy et de Saint-Martin
(Climatic Atlas: Atmospheric Environment in Guadeloupe, Saint-Barthélémy and Saint Martin) (Météo France, Service Régionale de Guadeloupe
, 2003
).6
Calif
, R.
and Schmitt
, F. G.
, “Multiscaling and joint multiscaling description of the atmospheric wind speed and the aggregate power output from a wind farm
,” Nonlinear Process. Geophys.
21
, 379
–392
(2014
). 7
Calif
, R.
, Schmitt
, F. G.
, Huang
, Y.
, and Soubdhan
, T.
, “Intermittency study of high frequency global solar radiation sequences under a tropical climate
,” Sol. Energy
98
, 349
–365
(2013
). 8
Cleveland
, R. B.
, Cleveland
, W. S.
, McRae
, J. E.
, and Terpenning
, I.
, “STL: A seasonal-trend decomposition
,” J. Off. Stat.
6
(1
), 3
–73
(1990
).9
Dambreville
, R.
, Blanc
, P.
, Chanussot
, J.
, and Boldo
, D.
, “Very short term forecasting of the global horizontal irradiance using a spatio-temporal autoregressive model
,” Renew. Energy
72
, 291
–300
(2014
). 10
Emeis
, S.
and Schäfer
, K.
, “Remote sensing methods to investigate boundary-layer structures relevant to air pollution in cities
,” Boundary Layer Meteorol.
121
(2
), 377
–385
(2006
). 11
12
Feng
, T.
, Fu
, Z.
, Deng
, X.
, and Mao
, J.
, “A brief description to different multi-fractal behaviors of daily wind speed records over China
,” Phys. Lett. A
373
(45
), 4134
–4141
(2009
). 13
Garcia-Marin
, A. P.
, Estévez
, J.
, Jiménez-Hornero
, F. J.
, and Ayuso-Muñoz
, J. L.
, “Multifractal analysis of validated wind speed time series
,” Chaos
23
(1
), 013133
(2013
). 14
Gleisner
, H.
and Thejll
, P.
, “Patterns of tropospheric response to solar variability
,” Geophys. Res. Lett.
30
(13
), 44
, (2003
). 15
Govindan
, R. B.
and Kantz
, H.
, “Long-term correlations and multifractality in surface wind speed
,” Europhys. Lett.
68
(2
), 184
(2004
). 16
Harrouni
, S.
and Guessoum
, A.
, “Using fractal dimension to quantify long-range persistence in global solar radiation
,” Chaos Solitons Fractals
41
(3
), 1520
–1530
(2009
). 17
Holzworth
, G. C.
, Mixing Heights, Wind Speeds, and Potential for Urban Air Pollution Throughout the Contiguous United States
(EPA Publications
, 1972
), p. 132
.18
Ihlen
, E. A. F.
, “Introduction to multifractal detrended fluctuation analysis in Matlab
,” Front. Physiol.
3
, 141
(2012
). 19
Jiménez-Hornero
, F. J.
, Pavón-Domínguez
, P.
, Gutiérrez de Ravé
, E.
, and Ariza-Villaverde
, A. B.
, “Joint multifractal description of the relationship between wind patterns and land surface air temperature
,” Atmos. Res.
99
(3-4
), 366
–376
(2011
). 20
Kantelhardt
, J. W.
, Zschiegner
, S. A.
, Koscielny-Bunde
, E.
, Havlin
, S.
, Bunde
, A.
, and Stanley
, H. E.
, “Multifractal detrended fluctuation analysis of nonstationary time series
,” Physica A
316
(1-4
), 87
–114
(2002
). 21
Kasten
, F.
, “A simple parameterization of the pyrheliometric formula for determining the Linke turbidity factor
,” Meteorol. Rundsch.
33
, 124
–127
(1980
).22
Kavasseri
, R. G.
and Nagarajan
, R.
, “A multifractal description of wind speed records
,” Chaos Solitons Fractals
24
(1
), 165
–173
(2005
). 23
Laib
, M.
, Golay
, J.
, Telesca
, L.
, and Kanevski
, M.
, “Multifractal analysis of the time series of daily means of wind speed in complex regions
,” Chaos Solitons Fractals
109
, 118
–127
(2018a
). 24
Laib
, M.
, Telesca
, L.
, and Kanevski
, M.
, “Long-range fluctuations and multifractality in connectivity density time series of a wind speed monitoring network
,” Chaos
28
(3
), 033108
(2018b
). 25
Li
, E.
, Mu
, X.
, Zhao
, G.
, and Gao
, P.
, “Multifractal detrended fluctuation analysis of streamflow in the Yellow River Basin, China
,” Water
7
(4
), 1670
–1686
(2015
). 26
Madanchi
, A.
, Absalan
, M.
, Lohmann
, G.
, Anvari
, M.
, and Tabar
, M. R. R.
, “Strong short-term non-linearity of solar irradiance fluctuations
,” Sol. Energy
144
, 1
–9
(2017
). 27
Malek
, E.
, Davis
, T.
, Martin
, R. S.
, and Silva
, P. J.
, “Meteorological and environmental aspects of one of the worst national air pollution episodes (January, 2004) in Logan, Cache Valley, Utah, USA
,” Atmos. Res.
79
(2
), 108
–122
(2006
). 28
Meneveau
, C.
, Sreenivasan
, K. R.
, Kailasnath
, P.
, and Fan
, M. S.
, “Joint multifractal measures: Theory and applications to turbulence
,” Phys. Rev. A
41
(2
), 894
(1990
). 29
Monjoly
, S.
, André
, M.
, Calif
, R.
, and Soubdhan
, T.
, “Hourly forecasting of global solar radiation based on multiscale decomposition methods: A hybrid approach
,” Energy
119
, 288
–298
(2017
). 30
Movahed
, M. S.
, Jafari
, G.
, Ghasemi
, F.
, Rahvar
, S.
, and Tabar
, M. R. R.
, “Multifractal detrended fluctuation analysis of sunspot time series
,” J. Stat. Mech.: Theory Exp.
2006
(02
), P02003
. 31
Mursula
, K.
and Zieger
, B.
, “The 13.5-day periodicity in the sun, solar wind, and geomagnetic activity: The last three solar cycles
,” J. Geophys. Res.: Space Phys.
101
(A12
), 27077
–27090
, (1996
). 32
Omran
, M. A.
, “Analysis of solar radiation over Egypt
,” Theor. Appl. Climatol.
67
(3-4
), 225
–240
(2000
). 33
Pavón-Domínguez
, P.
, Jiménez-Hornero
, F.
, and Gutiérrez de Ravé
, E.
, “Joint multifractal analysis of the influence of temperature and nitrogen dioxide on tropospheric ozone
,” Stoch. Environ. Res. Risk Assess.
29
(7
), 1881
–1889
(2015
). 34
Pedron
, I. T.
, “Correlation and multifractality in climatological time series
,” J. Phys. Conf. Ser.
246
, 012034
(2010
). 35
Peng
, C. K.
, Buldyrev
, S. V.
, Havlin
, S.
, Simons
, M.
, Stanley
, H. E.
, and Goldberger
, A. L.
, “Mosaic organization of DNA nucleotides
,” Phys. Rev. E
49
(2
), 1685
(1994
). 36
Plocoste
, T.
, Calif
, R.
, and Jacoby-Koaly
, S.
, “Multi-scale time dependent correlation between synchronous measurements of ground-level ozone and meteorological parameters in the Caribbean basin
,” Atmos. Environ.
211
, 234
–246
(2019
). 37
Plocoste
, T.
, Dorville
, J. F.
, Monjoly
, S.
, Jacoby-Koaly
, S.
, and André
, M.
, “Assessment of nitrogen oxides and ground-level ozone behavior in a dense air quality station network: Case study in the Lesser Antilles arc
,” J. Air Waste Manag. Assoc.
68
(12
), 1278
–1300
(2018
). 38
Plocoste
, T.
, Jacoby-Koaly
, S.
, Molinié
, J.
, and Bade
, F.
, “Surface inversion characteristics in the nocturnal boundary layer of Guadeloupe and its impact on air quality
,” WIT Trans. Ecol. Environ.
198
, 265
–274
(2015
). 39
Plocoste
, T.
, Jacoby-Koaly
, S.
, Molinié
, J.
, and Petit
, R. H.
, “Evidence of the effect of an urban heat island on air quality near a landfill
,” Urban Clim.
10
, 745
–757
(2014
). 40
Plocoste
, T.
, Jacoby-Koaly
, S.
, Petit
, R. H.
, Molinié
, J.
, and Roussas
, A.
, “In situ quantification and tracking of volatile organic compounds with a portable mass spectrometer in tropical waste and urban sites
,” Environ. Technol.
38
(18
), 2280
–2294
(2017
). 41
Podobnik
, B.
and Stanley
, H. E.
, “Detrended cross-correlation analysis: A new method for analyzing two nonstationary time series
,” Phys. Rev. Lett.
100
(8
), 084102
(2008
). 42
Rodríguez-Gómez
, B. A.
, Meizoso-López
, M. D. C.
, Mirás-Avalos
, J. M.
, García-Tomillo
, A.
, and Paz-González
, A.
, “Assessment of solar irradiation models in A Coruña by multifractal analysis
,” Vadose Zone J.
12
(3
), 1
–10
(2013
). 43
Shadkhoo
, S.
and Jafari
, G. R.
, “Multifractal detrended cross-correlation analysis of temporal and spatial seismic data
,” Eur. Phys. J. B
72
(4
), 679
–683
(2009
). 44
Sharan
, M.
, Yadav
, A. K.
, Singh
, M.
, Agarwal
, P.
, and Nigam
, S.
, “A mathematical model for the dispersion of air pollutants in low wind conditions
,” Atmos. Environ.
30
(8
), 1209
–1220
(1996
). 45
Stathopoulos
, V. K.
and Matsoukas
, C.
, “Long-term memory and multifractality of downwelling longwave radiation flux at the Earth’s surface
,” Clim. Dyn.
52
(9-10
), 5723
–5738
(2019
). 46
Stull
, R. B.
, An Introduction to Boundary Layer Meteorology
(Springer Science & Business Media
, 2012
), Vol. 13.47
Šúri
, M.
and Hofierka
, J.
, “A new GIS-based solar radiation model and its application to photovoltaic assessments
,” Trans. GIS
8
(2
), 175
–190
(2004
). 48
Telesca
, L.
and Lovallo
, M.
, “Analysis of the time dynamics in wind records by means of multifractal detrended fluctuation analysis and the Fisher–Shannon information plane
,” J. Stat. Mech.: Theory Exp.
2011
(07
), P07001
. 49
Telesca
, L.
, Lovallo
, M.
, and Kanevski
, M.
, “Power spectrum and multifractal detrended fluctuation analysis of high-frequency wind measurements in mountainous regions
,” Appl. Energy
162
, 1052
–1061
(2016
). 50
Vandewalle
, N.
and Ausloos
, M.
, “Crossing of two mobile averages: A method for measuring the roughness exponent
,” Phys. Rev. E
58
(5
), 6832
(1998
). 51
Varotsos
, C. A.
, Lovejoy
, S.
, Sarlis
, N. V.
, Tzanis
, C. G.
, and Efstathiou
, M. N.
, “On the scaling of the solar incident flux
,” Atmos. Chem. Phys.
15
(13
), 7301
–7306
(2015
). 52
Vindel
, J. M.
and Polo
, J.
, “Intermittency and variability of daily solar irradiation
,” Atmos. Res.
143
, 313
–327
(2014
). 53
Weerasinghe
, R. M.
, Pannila
, A. S.
, Jayananda
, M. K.
, and Sonnadara
, D. U. J.
, “Multifractal behavior of wind speed and wind direction
,” Fractals
24
(01
), 1650003
(2016
). 54
Yordanov
, G. H.
, Midtgård
, O. M.
, Saetre
, T. O.
, Nielsen
, H. K.
, and Norum
, L. E.
, “Overirradiance (cloud enhancement) events at high latitudes,” in 2012 IEEE 38th Photovoltaic Specialists Conference (PVSC) Part 2 (IEEE, 2012), pp. 1–7.55
Zeng
, M.
, Zhang
, X. N.
, Li
, J. H.
, and Meng
, Q. H.
, “The scaling properties of high-frequency wind speed records based on multiscale multifractal analysis
,” Acta Phys. Pol. B
47
(9
), 2205
–2224
(2016
). 56
Zhang
, Q.
, Xu
, C. Y.
, Chen
, Y. D.
, and Yu
, Z.
, “Multifractal detrended fluctuation analysis of streamflow series of the Yangtze River basin, China
,” Hydrol. Process.: Int. J.
22
(26
), 4997
–5003
(2008
). 57
Zhang
, X.
, Zeng
, M.
, and Meng
, Q.
, “Asymmetric multiscale multifractal analysis of wind speed signals
,” Int. J. Mod. Phys. C
28
(11
), 1750137
(2017
). 58
Zhang
, X.
, Zeng
, M.
, and Meng
, Q.
, “Multivariate multifractal detrended fluctuation analysis of 3D wind field signals
,” Physica A
490
, 513
–523
(2018
). 59
Zhou
, W. X.
, “Multifractal detrended cross-correlation analysis for two nonstationary signals
,” Phys. Rev. E
77
(6
), 066211
(2008
). 60
Zhou
, W. X.
, “The components of empirical multifractality in financial returns
,” Europhys. Lett.
88
(2
), 28004
(2009
). © 2020 Author(s).
2020
Author(s)
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