A DFA-based bivariate regression model for estimating the dependence of PM2.5 among neighbouring cities

Scientific Reports
Fang WangYuming Chen

Abstract

On the basis of detrended fluctuation analysis (DFA), we propose a new bivariate linear regression model. This new model provides estimators of multi-scale regression coefficients to measure the dependence between variables and corresponding variables of interest with multi-scales. Numerical tests are performed to illustrate that the proposed DFA-bsaed regression estimators are capable of accurately depicting the dependence between the variables of interest and can be used to identify different dependence at different time scales. We apply this model to analyze the PM2.5 series of three adjacent cities (Beijing, Tianjin, and Baoding) in Northern China. The estimated regression coefficients confirmed the dependence of PM2.5 among the three cities and illustrated that each city has different influence on the others at different seasons and at different time scales. Two statistics based on the scale-dependent t-statistic and the partial detrended cross-correlation coefficient are used to demonstrate the significance of the dependence. Three new scale-dependent evaluation indices show that the new DFA-based bivariate regression model can provide rich information on studied variables.

References

May 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics· Peng C-KH E Stanley
Feb 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C K PengA L Goldberger
Mar 21, 2008·Physical Review Letters·Boris Podobnik, H Eugene Stanley
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wei-Xing Zhou
Dec 19, 2009·Proceedings of the National Academy of Sciences of the United States of America·Boris PodobnikH Eugene Stanley
Jul 1, 2010·Journal of Exposure Science & Environmental Epidemiology·Eleanor SettonDenise Cloutier-Fisher
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhi-Qiang Jiang, Wei-Xing Zhou
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris PodobnikH Eugene Stanley
Jul 13, 2012·Journal of Environmental Sciences (China)·Shuxiao Wang, Jiming Hao
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paweł OświecimkaJarosław Kwapień
Mar 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ladislav Kristoufek
Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xi-Yuan QianH Eugene Stanley
Jul 16, 2015·Environmental Pollution·Lijian HanWeifeng Li
May 14, 2016·Physical Review. E·Fang WangH Eugene Stanley

❮ Previous
Next ❯

Citations

Aug 17, 2020·Physical Review. E·Qingju Fan, Fang Wang

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.