Abstract:
The atmospheric aerosol or particulate matter (PM) is one of the major issues of
urban air quality affecting human and ecosystem wellbeing across the globe. APM
consists of numerous particles of different sizes, ranging from ultra-fine particles up
to particles with an aerodynamic diameter up to 10μm or larger. It has been reported
that particulates less than 2.5μm are more hazardous due to their ability to penetrate
deeper into human lungs and enter blood which may increase respiratory and
cardiovascular morbidity compared to coarse particulates whose aerodynamic size is
up to 10μm.
The dynamics of atmospheric particulate matter (APM) are outcome of complex
natural and anthropogenic contributors evolving with time, which cannot be analyzed
using conventional time and frequency domain analysis techniques. For analyzing
nonlinear dynamics of APM, various computational techniques have been used by
researchers during last two decades to understand the dynamics of these systems.
The research reported in this dissertation focused on quantifying the nonlinear
dynamics of APM (fine and coarse particulates) in ambient air and indoor
environment. The atmospheric particulate matter time series concentrations were
acquired using EPAM-5000 monitor from the ambient air and indoor environment in
the suburb of Muzaffarabad (Azad Jammu & Kashmir, Pakistan). The time series
data of the particulates was then transferred to a computer for analysis. The
behaviour and variability of PM2.5 and PM10.0 in the ambient and indoor environment
were investigated by performing descriptive statistical analysis. The association
between indoor and ambient particulates was examined using Pearson correlation
analysis and regression analysis with ordinary least square method. Nonlinear time
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series analysis techniques were used to characterize chaotic behaviour of the time
series data. To capture nonlinear dynamics, phase space was reconstructed using an
appropriate time delay and embedding dimension. The largest Lyapunov exponent
(LLE) was computed to determine the evidence of deterministic chaos in the ambient
PM time series data. The Hurst exponent was used to explore whether or not the
APM time series data show persistent behaviour. The Poincare plot descriptors were
used to show the short term, long term and point to point variability of the
particulates. The permutation entropy (PE) which is a reliable measure in the
presence of dynamical and observational noise was used for the examining the
complexity of APM. Finally, graphical user interfaces (GUI) based software product
was developed via a panel of computational techniques used in the research work.
The statistical analysis of PM time series data indicated enormously higher mass
concentrations of particulates in the ambient and indoor environment at all the sites.
The results showed that the proportion of PM2.5 contained within PM10.0 was quite
high depicting that fine particulates are major contributors of atmospheric PM in the
Muzaffarabad city. Due to their ability of deeper penetration into the lungs, the
higher proportions of fine particulates may cause hazardous effects on the people
residing along the roadside.
The optimum embedding dimension of reconstructed phase space at various time
delays varied from 5 to 8 and 4 to 6 for PM10.0 and PM2.5 respectively. The higher
values of optimal embedding showed that the mass concentrations of both
particulates have more dominant degrees of freedom, indicating dynamically
complex behaviour. The results of Hurst exponent indicated that indoor particulates
showed higher persistence in the indoor environment compared to ambient
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environment. Higher Hurst exponent values indicated that predictability of
particulates is higher in indoor environment, which may be attributed to the
controlled metrological and environment conditions in the indoor. The largest
Lyapunov exponent (LLE) was used to estimate magnitude of chaos among
particulates. The positive value of LLE indicated that time series concentrations of
particulates exhibit chaotic behaviour in both indoor and outdoor environment.
The complexity of particulate matter time series data was quantified using
permutation entropy analysis. The finding indicated time series data of indoor
particulates exhibited dynamically complex patterns compared to ambient particulate
matter time series data. The higher complexity of indoor particulates depicted that
controlling mechanism is not perturbed by external influences. In the ambient
environment various metrological factors and traffic congestion may perturb the
controlling mechanism which resulted in the loss of complexity. The temporal
variations explored using sensitivity analysis of Poincare plot descriptors (SD1, SD2
and CCM) revealed that CCM is more robust measure to study the temporal
variations of particulates in the indoor and outdoor environment.
To predict the mass concentration of particulates, linear and radial support vector
regressors and random forest approaches were used. The data of consecutive ten days
was used to build the prediction model, which was later on used to predict mass
concentration of six consecutive hours of next day. The finding indicated that
random forest approach provided better prediction with least root mean squared error
(RMSE) compared to other linear and radial support vector regressors.