Related Experiment Video
Updated: Aug 3, 2026
13:29
Production and Measurement of Organic Particulate Matter in a Flow Tube Reactor
Published on: December 15, 2018
Scaling characteristics in ozone concentration time series (OCTS)
Chung-Kung Lee1, Lain-Chuen Juang, Cheng-Cai Wang
1Department of Environmental Engineering, Green Environment R&D Center, Vanung University, Chung-Li 320, Taiwan, ROC. anthony@msa.vnu.edu.tw
Chemosphere
|August 6, 2005
Summary
Ozone concentration time series from Taipei exhibit multifractal characteristics, indicating complex scaling behavior. This analysis reveals long-term memory and cyclic patterns in air quality data.
Area of Science:
- Environmental Science
- Atmospheric Chemistry
- Data Analysis
Background:
- Ozone (O3) is a key air pollutant with complex temporal dynamics.
- Understanding ozone concentration patterns is crucial for air quality management.
- Previous studies suggest chaotic behavior in ozone time series.
Purpose of the Study:
- To analyze the scaling structures of hourly average ozone concentrations.
- To investigate the presence of multifractal characteristics in ozone data.
- To model ozone concentration time series using fractal methods.
Main Methods:
- Analysis of one-year hourly ozone observations from Taipei.
- Application of descriptive statistics and fractal analysis techniques.
- Utilizing mono-fractal and multifractal spectral analyses (tau(q)-q plots).
Main Results:
- Ozone measurements showed right-skewed distributions, cyclic patterns, and long-term memory.
- Scale invariance was observed, with box dimension decreasing as threshold ozone increased.
- Multifractal characteristics were confirmed, well-fitted by a two-scale Cantor set model.
Conclusions:
- Ozone concentration time series exhibit multifractal properties.
- Fractal analysis provides a robust method for characterizing complex air quality data.
- A chaotic multifractal approach may offer further insights into ozone dynamics.
Related Concept Videos
01:30UV–Vis Spectrum
When light passes through a substance, a portion of the light is absorbed while the remaining light is reflected or transmitted. If the molecule absorbs light between the wavelengths of 180–400 nm range, the UV spectrum is obtained, and if it absorbs light in the 400–780 nm wavelength range, the visible spectrum is obtained.
The UV–Vis spectrum of a molecule is the plot of its absorbance versus wavelength. The plot is drawn by taking molar absorptivity (ε) or log ε on the y-axis (ordinate)...
The UV–Vis spectrum of a molecule is the plot of its absorbance versus wavelength. The plot is drawn by taking molar absorptivity (ε) or log ε on the y-axis (ordinate)...
01:14Relative Frequency Histogram
The relative frequency depicts the proportion of data points that have each value. The frequency tells the number of data points that have each value. Like the histogram, a relative frequency histogram also has the same shape with a horizontal scale (the x-axis), but the vertical scale (the y-axis) is marked with relative frequencies (percentages of the whole) instead of actual frequencies. A relative frequency histogram is a graphical representation of a frequency distribution where the...
00:54Time-Series Graph
A time-series graph is a line graph with repeated measurements taken at successive intervals of time. It is also called a time series chart. To construct a time-series graph, one must look at both pieces of a paired data set. The horizontal axis is used to plot the time increments, and the vertical axis is used to plot the values of the variable that one is measuring. By using the axes in this way, each point on the graph will correspond to time and a measured quantity. The points on the graph...
01:18Variation of Atmospheric Pressure
Change in atmospheric pressure with height is particularly interesting. The decrease in atmospheric pressure with increasing altitude is due to the decreasing gravitational force per unit area as we move away from the surface of the earth.
Assuming the air temperature is constant at a given altitude and that the ideal gas law of thermodynamics describes the atmosphere to a good approximation, one can find the variation of atmospheric pressure with height.
Let p(y) be the atmospheric pressure at...
Assuming the air temperature is constant at a given altitude and that the ideal gas law of thermodynamics describes the atmosphere to a good approximation, one can find the variation of atmospheric pressure with height.
Let p(y) be the atmospheric pressure at...
01:25Atomic Absorption Spectroscopy: Atomization Methods
Atomic Absorption Spectroscopy (AAS) atomizes samples through flame atomization or electrothermal atomization. Flame atomization typically involves a nebulizer and spray chamber assembly to combine the sample with a fuel–oxidant mixture, creating a fine aerosol mist that enters a burner. Typically, the fuel and oxidant are combined in an approximately stoichiometric ratio. However, for atoms that are easily oxidized, a fuel-rich mixture may be more advantageous. Only about 5% of the aerosol...
01:25Ostwald’s Dilution Law
Consider a binary electrolyte AB with a concentration ‘c’ that reversibly dissociates into its constituent ions. The degree of this dissociation is represented by ⍺. This means that the equilibrium concentration of each ionic species can be expressed as ⍺c. As well as this, the fraction of the electrolyte that remains undissociated at equilibrium is given by (1−⍺). The corresponding equilibrium concentration for this undissociated portion is then calculated as (1−⍺)c. For such solutions,...