Analysis of Key Features of Non-Linear Behavior Using Recurrence Plots. Case Study: Urban Pollution at Mexico City

Marco A. Aceves-Fernandez, Jesus Carlos Pedraza-Ortega, Artemio Sotomayor-Olmedo, Juan M. Ramos-Arreguín, Jose Emilio Vargas-Soto, Saul Tovar-Arriaga

Campus Juriquilla, Universidad Autonoma de Queretaro, Santiago de Querétaro, México.

DOI: 10.4236/jep.2012.329133                

Abstract

The use of Recurrence plots have been extensively used in various fields. In this work, Recurrence Plots (RPs) investigates the changes in the non-linear behaviour of urban air pollution using large datasets of raw data (hourly). This analysis has not been used before to extract information from large datasets for this type non-linear problem. Two different approaches have been used to tackle this problem. The first approach is to show results according to monitoring network. The second approach is to show the results by particle type. This analysis shows the feasibility of using Recurrence Analysis for pollution monitoring and control.

Keywords

Recurrence Plot; Air Quality; Air Pollution Modelling; Atmospheric Pollution; Recurrence Quantification Analysis

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	J. P. Eckmann, et al., “Recurrence Plots of Dynamical Systems,” Europhysics Letters, Vol. 4, No. 9, 1987, pp. 324-327. doi:10.1209/0295-5075/4/9/004
[2]	T. Masaaki, et al., “Recurrence Plot Statistics and the Effect of Embedding,” Physics Letters A, Vol. 373, 2009, pp. 2031-2040.
[3]	Y.-J. Liu, et al., “Properties of Coarse Particles in the Atmosphere of the United Kingdom,” Atmospheric En- vironmen, Vol. 45, No. 19, 2011, pp. 3267-3276. doi:10.1016/j.atmosenv.2011.03.039
[4]	G. Weinmayr, et al., “Short-Term Effects of PM10 and NO2 on Respiratory Health among Children with Asthma or Asthma-Like Symptoms: A Systematic Review and Meta-Analysis,” Circulation, Vol. 121, 2010, pp. 2331- 2378.
[5]	M. A. Arbex, et al., “Impact of Outdoor Biomass Air Pollution on Hypertension Hospital Admissions,” Journal of Epidemiology & Community Health, Vol. 64, No. 7, 2010, pp. 573-579. doi:10.1136/jech.2009.094342
[6]	J. H. Kilabuko, et al., “Air Quality and Acute Respiratory Illness in Biomass Fuel Using Homes in Bagamoyo, Tanzania,” International Journal of Environmental Research and Public Health, Vol. 4, No. 1, 2007, pp. 39-44. doi:10.3390/ijerph2007010007
[7]	Y. L. Lee, et al., “Effects of Ambient Air Pollution on Pulmonary Function among Schoolchildren,” Interna- tional Journal of Hygiene and Environmental Health, Vol. 214, 2011, pp. 369-375.
[8]	R. Devika, et al., “Impact of Environmental Controls on Childhood Asthma,” Current Allergy and Asthma Reports, Vol. 11, No. 5, 2011, pp. 414-420. doi:10.1007/s11882-011-0206-7
[9]	H. Suh Helen, et al., “Chemical Properties of Air Pollutants and Cause-Specific Hospital Admissions among the Elderly in Atlanta, Georgia,” Environmental Health Per- spectives, Vol. 119, No. 10, 2011, pp. 1421-1428.
[10]	R. W. Boubel, et al., “Fundamentals of Air Pollution,” 3rd Edition, Academic Press, Waltham, 1994.
[11]	J. A. Achcar, et al., “Comparing the Number of Ozone Exceedances in Different Seasons of the Year in Mexico City,” Environ Model Assess, Vol. 16, No. 3, 2011, pp. 251-264. doi:10.1007/s10666-010-9245-z
[12]	United States Environmental Protection Agency (USEPA), “Air Quality Criteria for Ozone and Related Photochemi- cal Oxidants. Volume I,” National Center for Environmental Assessment-RTP Office of Research and Development, Research Triangle Park, 2006.
[13]	J. Pey, et al., “Monitoring of Sources and Atmospheric Processes Controlling Air Quality in an Urban Mediterranean Environment,” Atmospheric Environment, Vol. 44, No. 38, 2010, pp. 4879-4890. doi:10.1016/j.atmosenv.2010.08.034
[14]	M. R. O’Neill, et al., “Ozone, Area Social Conditions and Mortality in Mexico City,” Environmental Research, Vol. 964, No. 3, 2004, pp. 234-242. doi:10.1016/j.envres.2003.07.002
[15]	SIMAT, “Sistema de Monitoreo Atmosférico (Atmospheric Monitoring System),” Annual Technical Report, Mexico City, 2010, pp. 1-166.
[16]	NOM, “Modificación a la Norma Oficial Mexicana NOM-020-SSA1-1993,” Diario Oficial de la Federación, 2002.
[17]	J. Varon, et al., “Carbon Monoxide Poisoning: A Review for Clinicians,” The Journal of Emergency Medicine, Vol. 17, No. 1, 1999, pp. 87-93. doi:10.1016/S0736-4679(98)00128-0
[18]	E. Samoli, et al., “Short-Term Effects of Carbon Monoxide on Mortality: An Analysis within the APHEA Project,” Environmental Health Perspectives, Vol. 115, 2007, pp. 1578-1583. doi:10.1289/ehp.10375
[19]	C. A. Chambers, et al., “Cognitive and Affective Outcomes of More Severe Compared to Less Severe Carbon Monoxide Poisoning,” Brain Injury, Vol. 22, 2008, pp. 387-395. doi:10.1080/02699050802008075
[20]	M. L. Bell, et al., “Emergency Hospital Admissions for Cardiovascular Diseases and Ambient Levels of Carbon Monoxide: Results for 126 United States Urban Counties, 1999-2005,” Circulation, Vol. 120, 2009, pp. 949-955. doi:10.1161/CIRCULATIONAHA.109.851113
[21]	United States Environmental Protection Agency (USEPA), “Air Quality Criteria for Carbon Monoxide,” National Center for Environmental Assessment, Office of Research and Development, Research Triangle Park, 2000.
[22]	L. Emberson, et al., “Air Pollution Impacts on Crops and Forests: A Global Assessment,” Air Pollution Reviews, Vol. 220, No. 1-4, 2011, pp. 141-150. doi:10.1007/s11270-011-0741-9
[23]	S. S. Ahmad, et al., “Monitoring Nitrogen Dioxide Levels in Urban Areas in Rawalpindi, Pakistan,” Water Air Soil Pollution, Vol. 220, 2011, pp. 141-150.
[24]	H. Takizawa, “Impact of Air Pollution on Allergic Diseases,” The Korean Journal of Internal Medicine, Vol. 26, 2011, pp. 262-273.
[25]	M. Chiusolo, et al., “Short-Term Effects of Nitrogen Dioxide on Mortality and Susceptibility Factors in 10 Italian Cities: The EpiAir Study,” Environmental Health Perspectives, Vol. 119, No. 9, 2011.
[26]	V. Vestreng, et al., “Twenty-Five Years of Continuous Sulphur Dioxide Emission Reduction in Europe,” Atmospheric Chemistry and Physics, Vol. 7, No. 13, 2007, pp. 3663-3681. doi:10.5194/acp-7-3663-2007
[27]	M. Jones Alan, et al., “Temporal Trends in Sulphate Concentrations at European Sites and Relationships to Sulphur Dioxide,” Atmospheric Environment, Vol. 45, No. 4, 2011, pp. 873-882. doi:10.1016/j.atmosenv.2010.11.020
[28]	G. L. Peng, et al., “Characteristics of Particulate Matter Pollution in the Pearl River Delta Region, China: An Observational-Based Analysis of Two Monitoring Sites,” Journal of Environmental Monitoring, Vol. 13, No. 7, 2011, pp. 1927-1934. doi:10.1039/c0em00776e
[29]	N. Marwan, et al., “Cross Recurrence Plot Based Synchronization of TIME Series,” Nonlinear Processes in Geophysics, Vol. 9, 2002, pp. 325-331. doi:10.5194/npg-9-325-2002
[30]	J. P. Zbilut, et al., “Recurrence Quantification Analysis: Introduction and Historical Context,” International Journal of Bifurcation and Chaos, Vol. 17, No. 10, 2007, pp. 3477-3481. doi:10.1142/S0218127407019238
[31]	M. Aboofazeli, et al., “Comparison of Recurrence Plot Features of Swallowing and Breath Sounds,” Chaos, Solitons and Fractals, Vol. 37, No. 2, 2008, pp. 454-464. doi:10.1016/j.chaos.2006.09.026
[32]	D. Furman Michael, et al., “Using Recurrence Quantification Analysis Determinism for Noise Removal in Cardiac Optical Mapping,” IEEE Transactions on Biomedical Engineering, Vol. 53, No. 4, 2006.
[33]	E. Bradley, et al., “Recurrence Plots and Unstable Periodic Orbits,” Chaos, Vol. 12, No. 3, 2002, pp. 596-600.
[34]	F. Palmieri, et al., “A Nonlinear, Recurrence-Based Approach to Traffic Classification,” Computer Networks, Vol. 53, No. 6, 2009, pp. 761-773. doi:10.1016/j.comnet.2008.12.015
[35]	C. Ahlstrom, et al., “Distinguishing Innocent Murmurs from Murmurs Caused by Aortic Stenosis by Recurrence Quantification Analysis,” World Academy of Science, Engineering and Technology, Vol. 18, No. , 2006, pp. 40- 45.
[36]	J. Gao, et al., “On the Structures and Quantification of Recurrence Plots,” Physics Letters A, Vol. 270, No. 1-2, 2000, pp. 75-87. doi:10.1016/S0375-9601(00)00304-2
[37]	T. Aparicio, et al., “Detecting Determinism Using Recurrence Quantification Analysis: Three Test Procedures,” Journal of Economic Behavior & Organization, Vol. 65, No. 3-4, 2008, pp. 768-787. doi:10.1016/j.jebo.2006.03.005
[38]	Y. Zou, et al., “Identifying Complex Periodic Windows in Continuous-Time Dynamical Systems Using Recurrence-Based Methods,” Chaos, Vol. 20, No. 4, 2010, Article ID: 043130. doi:10.1063/1.3523304
[39]	T. E. Karakasidis, et al., “Recurrence Quantification Analysis of Temperature Fluctuations in a Horizontal Round Heated Turbulent Jet,” International Journal of Bifurcation and Chaos, Vol. 19, No. 8, 2009, pp. 2487- 2498.
[40]	P. Zbilut, et al., “Recurrence Quantification Based Liapunov Exponents for Monitoring Divergence in Experimental Data,” Physics Letters A, Vol. 297, 2007, pp. 173-181.
[41]	T. K. March, et al., “Recurrence Plot Statistics and the Effect of Embedding,” Physica D, Vol. 200, No. 2, 2005, pp. 171-184. doi:10.1016/j.physd.2004.11.002
[42]	N. Marwan, et al., “Recurrence Plots for the Analysis of Complex Systems,” Physics Reports, Vol. 438, 2007, pp. 237-329.
[43]	F. Strozzi, et al., “Recurrence Quantification Analysis and State Space Divergence Reconstruction for Financial Time Series Analysis,” Physica A, Vol. 376, 2007, pp. 487-499. doi:10.1016/j.physa.2006.10.020
[44]	C. Mocenni, et al., “Comparison of Recurrence Quantification Methods for the Analysis of Temporal and Spatial chaos,” Mathematical and Computer Modelling, Vol. 53, No. 7-8, 2011, pp. 1535-1545. doi:10.1016/j.mcm.2010.04.008
[45]	R. M. Yulmetyev, et al., “Dynamics of the Information Entropy in Random Processes,” Physica A, Vol. 273, No. 3-4, 1999, pp. 416-438. doi:10.1016/S0378-4371(99)00257-5