A chaotic analysis on air pollution index change over past 10 years in Lanzhou, northwest China

Stochastic Environmental Research and Risk Assessment

Volumn 25, Issue 5, 2011, Pages 643-653

  Yu, Bo ^a   Huang, Chengmin ^a   Liu, Zuhan ^b   Wang, Haipeng ^b   Wang, Lili ^c  

^a SICHUAN UNIVERSITY   (China)

^b CHINA WEST NORMAL UNIVERSITY   (China)

^c CHENGDU UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Air pollution index; Chaos theory; Correlation dimension; Lanzhou; Maximum Lyapunov exponents; Northwest China; Phase space reconstruction

Indexed keywords

AIR POLLUTION INDEX; CORRELATION DIMENSION; LANZHOU; MAXIMUM LYAPUNOV EXPONENT; NORTHWEST CHINA; PHASE SPACE RECONSTRUCTION;

AIR QUALITY; CHAOTIC SYSTEMS; DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; PHASE SPACE METHODS; TIME SERIES; TIME SERIES ANALYSIS;

POLLUTION;

ATMOSPHERIC POLLUTION; CHAOS THEORY; CHAOTIC DYNAMICS; CORRELATION; TIME SERIES ANALYSIS;

CHINA; GANSU; LANZHOU;

EID: 79958718983     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-011-0471-y     Document Type: Article

References (80)

1. 2 in winter over Lanzhou in China: a case study. Adv Atmos Sci 24: 688-699.
2. Anh V, Duc H, Azzi M (1997) Modeling anthropogenic trends in air quality data. J Air Waste Manage Assoc 47: 66-71.
3. Ardalani-Farsa M, Zolfaghari S (2010) Chaotic time series prediction with residual analysis method using hybrid Elman-NARX neural networks. Neurocomputing 73: 2540-2553.
4. Cao LY (1997) Practical method for determining the minimum embedding dimension of a scalar time series. Phys D 110: 43-50.
5. Chen JL, Islam S, Biswas P (1998) Nonlinear dynamics of hourly ozone concentrations: nonparametric short term prediction. Atmos Environ 32: 1839-1848.
6. 10 and hospital admissions for chronic obstructive pulmonary disease. Toxicol Mech Method 11: 233-246.
7. 2 pollution in Lanzhou, China. Atmos Res 89: 365-373.
8. Chu PC, Chen YC, Lu SH, Li ZC, Lu YQ (2008b) Particulate air pollution in Lanzhou China. Environ Int 34: 698-713.
9. Dong ZL, He HG, Yu T, Li HY (2009) Correlation analysis on influencing factors of the atmospheric environmental quality in Lanzhou City. J Arid Land Resour Environ 23(12): 49-53 (in Chinese with English abstract).
10. Fraser AM, Swinney HL (1986) Independent coordinates for strange attractors from mutual information. Phys Rev A 33: 1134-1140.
11. Frazier C, Kockelman KM (2004) Chaos theory & transportation systems: an instructive example. Transp Res Rec 1897: 9-17.
12. Gomez-Sanchis J, Martin-Guerrero J, Soria-Olivas E, Vila-Frances J, Carrasco J, del Valle-Tascon S (2006) Neural networks for analysing the relevance of input variables in the prediction of tropospheric ozone concentration. Atmos Environ 40: 6173-6180.
13. Grassberger P, Procaccia I (1983a) Measuring the strangeness of strange attractor. Phys D 9: 189-208.
14. Grassberger P, Procaccia I (1983b) Estimation of the Kolmogorov entropy from a chaotic signal. Phys Rev A 28: 2591-2593.
15. Harvey AC (1989) Forecasting, structural time series models and the Kalman filter. Cambridge University Press, Cambridge.
16. 10 concentration in Taipei: Fractal Approach. Aerosol Air Qual Res 4: 37-54.
17. Horowitz J, Barakat S (1979) Statistical analysis of the maximum concentration of an air pollutant: effects of autocorrelation and non-stationarity. Atmos Environ 13: 811-818.
18. Hu YQ, Zhang Q (1999) Atmospheric pollution mechanism and prevention countermeasure of the Lanzhou. China Environ Sci 19(2): 119-122 (in Chinese with English abstract).
19. Ibarra-Berastegi G, Elias A, Barona A, Saenz J, Ezcurra A, Argadona JD (2008) From diagnosis to prognosis for forecasting air pollution using neural networks: air pollution monitoring in Bilbao. Environ Modell Softw 23: 622-637.
20. Jazwinski AH (1970) Stochastic processes and filtering theory. Academic Press, New York.
21. Jiang JH, Peng XD (2002) Numerical study on air pollution concentration over Lanzhou in winter under complex terrain. Plateau Meteorol 21(1): 1-7 (in Chinese with English abstract).
22. 2 concentration in winter over Lanzhou. Plateau Meteorol 20(Suppl): 15-21 (in Chinese with English abstract).
23. Kin HS, Eykholt R, Salas JD (1999) Nonlinear dynamics, delay time, and embedding window. Phys D 127: 48-60.
24. 3 concentration in Istanbul. Atmos Environ 34: 1267-1271.
25. Kugiumtzis D (1996) State space reconstruction parameters in the analysis of chaotic time series: the role of the time window length. Phys D 95: 13-28.
26. 10 concentrations, compared with a deterministic modelling system and measurements in central Helsinki. Atmos Environ 37: 4539-4550.
27. Kumar U, Prakash A, Jain VK (2008) Characterization of chaos in air pollutants: a Volterra-Wiener-Korenberg series and numerical Titration approach. Atmos Environ 42: 1537-1551.
28. Kurt A, Gulbagci B, Karaca F (2008) An online air pollution forecasting system using neural networks. Environ Int 34: 592-598.
29. Lee CK (2002) Multifractal characteristics in air pollutant concentration time series. Water Air Soil Pollut 135: 389-409.
30. Lee CK, Lin SH (2008) Chaos in air pollutant concentration (APC) time series. Aerosol Air Qual Res 8(4): 381-391.
31. Lee CK, Ho DS, Yu CC, Wang CC (2003) Fractal analysis of temporal variation of air pollutant concentration by box counting. Environ Modell Softw 18: 243-251.
32. Lee IF, Biswas P, Islam S (1994) Estimation of the dominant degrees of freedom for air pollutant concentration data: applications to ozone measurements. Atmos Environ 28: 1707-1714.
33. Li J, Tang H (1998) Model for predicting the acidity of precipitation in China. China Environ Sci 18(1): 8-11 (in Chinese with English abstract).
34. Li IF, Biswas P, Islam S (1994) Estimation of the dominant degrees of freedom for air pollutant concentration data: applications to ozone measurements. Atmos Environ 28: 1707-1714.
35. Liang SX, Wu H, Li ZC, Zheng J, Dong ZM (2010) Fuzzy mathematics-based comprehensive evaluation of dynamics of atmospheric environmental quality. J Arid Land Resour Environ 24(6): 77-81 (in Chinese with English abstract).
36. 2 emissions from final fuel use: an empirical analysis. Energy Policy 35: 5892-5900.
37. Lorenz EN (1963) Detemministic nonperiodic flow. J Atmos Sci 20: 130-141.
38. Lorenz EN (1993) The essence of chaos. UCL Press, Los Angeles.
39. Ma JH, Liu LX (2007) Testing for nonlinearity in time series of monthly rainfall in Yunnan Province. J Syst Eng 22(6): 561-567 (in Chinese with English abstract).
40. Martinerie JM, Albano AM, Mees AI, Rapp PE (1992) Mutual information, strange attractors, and the optimal estimation of dimension. Phys Rev A 45: 7058-7064.
41. Millán H, Ghanbarian-Alavijeh B, García-Fornaris I (2010) Nonlinear dynamics of mean daily temperature and dewpoint time series at Babolsar, Iran, 1961-2005. Atmos Res 98: 89-101.
42. OECD (2007) OECD Annual Report 2007: Environmental Performance Review of China. The Public Affairs Division, Public Affairs and Communications Directorate,Paris.
43. Ott E, Sauer T, Yorke JA (1994) Coping with Chaos. Wiley, New York.
44. Packard NH, Crutchfield JP, Farmers JD, Shaw RS (1980) Geometry from a time series. Phys Rev Lett 45: 712-716.
45. Poon C, Barahona M (2001) Titration of chaos with added noise. Proc Natl Acad Sci USA 98: 7107-7112.
46. Raga GB, Le Moyne L (1996) On the nature of air pollution dynamics in Mexico City-I, nonlinear analysis. Atmos Environ 30: 3987-3993.
47. Rosenstein MT, Collins JJ, De Luca CJ (1993) A practical method for calculating largest Lyapunov exponents from small data sets. Phys D 65: 117-134.
48. Saarikoski S, Sillanpää M, Sofiev M, Timonen H, Saarnio K, Teinilä K, Karppinen A, Kukkonen J, Hillamo R (2007) Chemical composition of aerosols during a major biomass burning episode over northern Europe in spring 2006: experimental and modelling assessments. Atmos Environ 41: 3577-3589.
49. Sannasiraj SA, Zhang H, Vladan Babovic, Chan ES (2004) Enhancing tidal prediction accuracy in a deterministic model using chaos theory. Adv Water Resour 27: 761-772.
50. Schlink U, Stephen D, Emil P, Giuseppe N, Gavin C, Heikki J, Alison G, Rob F, Krystof E (2003) A rigorous inter-comparison of ground-level ozone predictions. Atmos Environ 37: 3237-3253.
51. Schlink U, Herbarth O, Richter M, Dorling S, Nunnari G, Cawley G, Pelikan E (2006) Statistical models to assess the health effects and to forecast ground-level ozone. Environ Modell Softw 21: 547-558.
52. Shang KZ, Da CY, Fu YZ, Wang SG, Yang DB (2001) The stable energy in Lanzhou city and the relations between air pollution and it. Plateau Meteorol 20(1): 76-81 (in Chinese with English abstract).
53. Shi K, Liu CQ, Ai NS, Zhang XH (2008) Using three methods to investigate time-scaling properties in air pollution indexes time series. Nonlinear Anal Real World Appl 9: 693-707.
54. Sivakumar B (2000) Chaos theory in hydrology: important issues interpretations. J Hydrol 227: 1-20.
55. Sivakumar B (2004) Chaos theory in geophysics: past, present and future. Chaos Solitons Fract 19: 441-462.
56. Sivakumar B, Wallender WW, Horwath WR, Mitchell JP (2007) Nonlinear deterministic analysis of air pollution dynamics. Adv Complex Syst 10: 581-597.
57. 10 forecasting for Thessaloniki, Greece. Environ Modell Softw 21: 559-565.
58. Song HJ, Miao CY, Shen ZQ, Roel W, Maja DH, Franck C (2010) Design of fuzzy cognitive maps using neural networks for predicting chaotic time series. Neural Netw 23: 1264-1275.
59. Sun YB, Piyamarn S, Vladan B, Chan ES (2009) Efficient data assimilation method based on chaos theory and Kalman filter with an application in Singapore Regional Model. J Hydro Environ Res 3: 85-95.
60. Ta WQ, Wang T, Xiao HL, Zhu XY, Xiao Z (2004) Gaseous and particulate air pollution in the Lanzhou Valley, China. Sci Total Environ 320: 163-176.
61. Takens F (1981) Detecting strange attractors in fluid turbulence. Lect Notes Math 898: 366-381.
62. 10 concentration in Lanzhou and its assessment. J Desert Res 27(4): 272-276 (in Chinese with English abstract).
63. Tao ZN, Geoffrey H, Kieran D (2010) An economic analysis of Midwestern US criteria pollutant emissions trends from 1970 to 2000. Ecol Econ 691: 666-1674.
64. Tian QX, Zhou LZ, Wang R, Tian ZM (2001) The pollution law of the metal and nonmetal elements in the aerosol in Lanzhou. Environ Monitor China 17(7): 18-22 (in Chinese with English abstract).
65. 2 emissions from energy use: Turkish case. Energy Policy 37: 4689-4699.
66. Wang JM (1992) Turbulence characteristics in an urban atmosphere of complex terrain. Atmos Environ 26: 2717-2724.
67. Wang XK, Lu WZ (2006) Seasonal variation of air pollution index: Hong Kong case study. Chemosphere 63: 1261-1272.
68. Wang SG, Yang M, Qi B, Xin CL, Yang MF (1999) Influence of sand-dust storms occurring over the Gansu Hexi district on the air pollution in Lanzhou city. J Desert Res 19(4): 354-358 (in Chinese with English abstract).
69. Wang SG, Jiang DB, Yang DB, Shang KZ, Qi B (2000) A study on characteristics of change of maximum mixing depths in Lanzhou. Plateau Meteorol 19(3): 363-370 (in Chinese with English abstract).
70. 10 pollution in northern China. Atmos Environ 40: 7975-7982.
71. Wang SG, Feng XY, Zeng XQ, Ma YX, Shang KZ (2009) A study on variations of concentrations of particulate matter with different sizes in Lanzhou, China. Atmos Environ 43: 2823-2828.
72. Windsor HL, Toumi R (2001) Scaling and persistence of UK pollution. Atmos Environ 35: 4545-4556.
73. Wolf A, Swift JB, Swinny HL et al (1985) Determining Lyapunov exponents from a time serises. Phys D 16: 285-317.
74. Xia DS, Yang LP, Ma JY, Yu Y, Wang G, Chen FH (2007) Magnetic characteristics of dustfall in urban area of north China and its environmental significance. Sci China Ser D Earth Sci 50: 1724-1732.
75. Xie XJ, Li J, Wang ZF (2010) Numerical simulation of diurnal variations of the air pollutants in winter of Lanzhou city. Clim Environ Res 15(5): 695-703 (in Chinese with English abstract).
76. Xu H, Zhai J, Liu ZQ, Zhang JQ (2003) Effect of energy structure on atmospheric environment of Lanzhou. Urban Environ Urban Ecol 16(1): 73-75 (in Chinese with English abstract).
77. Zhang Q (2003) A study of the interaction between pollutants concentration and the climatic and environmental factors of Lanzhou. J Lanzhou Univ (Nat Sci) 39(1): 99-106 (in Chinese with English abstract).
78. Zhang W, Hu B, Chen CH, Du P, Zhang L, Feng GH (2004) Scattering properties of atmospheric aerosols over Lanzhou city and applications using an integrating nephelometer. Adv Atmos Sci 21: 848-856.
79. Zhang N, Li LP, Wang SG, Wang D, Wang Z (2008) The composition characteristics of main inorganic ions in atmospheric aerosol of the urban and atmospheric background in Lanzhou city in winter. Environ Chem 27(4): 494-498 (in Chinese with English abstract).
80. Zhu JL, Liu ZG (2003) Long-range persistence of acid deposition. Atmos Environ 37: 2605-2613.