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Intro to Time Series
Table of Contents

Air quality modeling combines emission sources, atmospheric processes, and chemical transformations to predict pollutant levels. Key components include identifying sources, understanding transport and dispersion, and accounting for chemical reactions and meteorological factors that influence air quality.

Time series analysis plays a crucial role in air quality monitoring and prediction. It involves data collection, decomposition of pollutant concentrations, modeling techniques like ARIMA, and forecasting. This approach helps understand trends, seasonal patterns, and the impact of interventions on air quality.

Key Concepts in Air Quality Modeling

Components of air quality modeling

  • Emission sources encompass anthropogenic activities (industrial processes, transportation, residential heating) and natural phenomena (wildfires, volcanic eruptions, dust storms)
  • Atmospheric transport and dispersion involve advection (horizontal movement of pollutants by wind), diffusion (spreading due to turbulent mixing), and deposition (removal through dry or wet processes)
  • Chemical transformations distinguish between primary pollutants emitted directly from sources (CO, SO2, NOx) and secondary pollutants formed through atmospheric reactions (O3, PM2.5)
  • Meteorological factors play a crucial role, with wind speed and direction influencing transport and dispersion, temperature affecting reaction rates and vertical mixing, humidity impacting secondary pollutant formation, and atmospheric stability determining vertical mixing and dispersion

Time Series Analysis in Air Quality Monitoring and Prediction

Time series for pollutant concentrations

  • Data collection and preprocessing involve continuous monitoring using ground-based stations or satellite observations, followed by quality control and data cleaning to remove outliers and fill missing values
  • Time series decomposition separates the data into trend (long-term changes), seasonal (recurring patterns related to meteorology or human activities), cyclical (variations longer than one year), and irregular (random fluctuations or unexpected events) components
  • Time series modeling techniques include autoregressive (AR) models predicting future values based on past observations, moving average (MA) models accounting for past forecast errors, and autoregressive integrated moving average (ARIMA) models combining AR and MA components with differencing for non-stationary data
  • Forecasting and model evaluation generate short-term and long-term predictions using trained models and assess performance using metrics like mean absolute error (MAE), root mean square error (RMSE), and coefficient of determination (R^2)

Meteorological factors in air quality

  • Correlation analysis calculates coefficients between pollutant concentrations and meteorological variables to identify significant relationships (temperature and ozone levels)
  • Regression models quantify the impact of meteorological factors on pollutant concentrations, including interaction terms to capture combined effects
  • Granger causality tests assess causal relationships, determining if changes in meteorological variables lead to changes in air quality

Statistical models for pollution control

  • Intervention analysis uses dummy variables or step functions to represent the implementation of control policies or regulations in the time series model, estimating the magnitude and significance of the intervention effect on pollutant concentrations
  • Difference-in-differences (DID) approach compares changes in air quality between a treatment group (affected by the control measure) and a control group (unaffected), accounting for common trends and isolating the causal impact
  • Counterfactual analysis constructs a scenario representing the expected air quality without the control measure and compares observed pollutant levels with the counterfactual to quantify the intervention's effectiveness
  • Policy evaluation metrics calculate the percentage reduction in pollutant concentrations attributable to the control measure and estimate the associated health and economic benefits