Characteristics of Long-Term Climate Change in Beijing With Detrended Fluctuation Analysis

2007 ◽  
Vol 50 (2) ◽  
pp. 393-398 ◽  
Author(s):  
Zuo-Fang ZHENG ◽  
Xiu-Li ZHANG ◽  
Hong-Xing CAO ◽  
Zhuang XIE ◽  
Jia-Hua PAN
Keyword(s):  
Climate Change ◽  
Detrended Fluctuation Analysis ◽  
Fluctuation Analysis ◽  
Detrended Fluctuation

Scaling behavior of earthquakes’ inter-events time series

Open Physics ◽  
2009 ◽  
Vol 7 (3) ◽  
Author(s):  
Shahriar Shadkhoo ◽  
Fakhteh Ghanbarnejad ◽  
Gholam Jafari ◽  
Mohammad Tabar
Keyword(s):  
Time Series ◽  
Time Scales ◽  
Hurst Exponent ◽  
Detrended Fluctuation Analysis ◽  
Fluctuation Analysis ◽  
Data Set ◽  
Scaling Properties ◽  
Independent Events ◽  
Detrended Fluctuation

AbstractIn this paper, we investigate the statistical and scaling properties of the California earthquakes’ inter-events over a period of the recent 40 years. To detect long-term correlations behavior, we apply detrended fluctuation analysis (DFA), which can systematically detect and overcome nonstationarities in the data set at all time scales. We calculate for various earthquakes with magnitudes larger than a given M. The results indicate that the Hurst exponent decreases with increasing M; characterized by a Hurst exponent, which is given by, H = 0:34 + 1:53/M, indicating that for events with very large magnitudes M, the Hurst exponent decreases to 0:50, which is for independent events.

scholarly journals Nonlinearity and Fractal Properties of Climate Change during the Past 500 Years in Northwestern China

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Shiquan Wan ◽  
Qunqun Liu ◽  
Jianxin Zou ◽  
Wenping He
Keyword(s):  
Climate Change ◽  
Nonlinear Process ◽  
Northwestern China ◽  
Fluctuation Analysis ◽  
The Past ◽  
Fractal Properties ◽  
Change Characteristics ◽  
Range Correlation ◽  
Detrended Fluctuation

By using detrended fluctuation analysis (DFA), the present paper analyzed the nonlinearity and fractal properties of tree-ring records from two types of trees in northwestern China, and then we disclosed climate change characteristics during the past 500 years in this area. The results indicate that climate change in northwestern China displayed a long-range correlation (LRC), which can exist over time span of 100 years or longer. This conclusion provides a theoretical basis for long-term climate predictions. Combining the DFA results obtained from daily temperatures records at the Xi’an meteorological observation station, which is near the southern peak of the Huashan Mountains, self-similarities widely existed in climate change on monthly, seasonal, annual, and decadal timescales during the past 500 years in northwestern China, and this change was a typical nonlinear process.

scholarly journals Evolution of High-Viscosity Gas–Liquid Flows as Viewed Through a Detrended Fluctuation Characterization

Processes ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 822 ◽  
Author(s):  
J. Hernández ◽  
D. F. Galaviz ◽  
L. Torres ◽  
A. Palacio-Pérez ◽  
A. Rodríguez-Valdés ◽  
...  
Keyword(s):  
Detrended Fluctuation Analysis ◽  
Ad Hoc ◽  
Flow Line ◽  
High Viscosity ◽  
Intermittent Flow ◽  
Fluctuation Analysis ◽  
Range Correlation ◽  
Liquid Flows ◽  
Detrended Fluctuation

We characterize the long-term development of high-viscosity gas–liquid intermittent flows by means of a detrended fluctuation analysis (DFA). To this end, the pressures measured at different locations along an ad hoc experimental flow line are compared. We then analyze the relevant time-series to determine the evolution of the various kinds of intermittent flow patterns associated with the mixtures under consideration. Although no pattern transitions are observed in the presence of high-viscosity mixtures, we show that the dynamical attributes of each kind of intermittence evolves from one point to another within the transport system. The analysis indicates that the loss of a long-range correlation between the pressure responses are due to the discharge processes.

scholarly journals INVESTIGATION OF HEART RATE VARIABILITY BY STATISTICAL METHODS AND DETRENDED FLUCTUATION ANALYSIS

2019 ◽  
Vol 7 ◽  
Author(s):  
Galya Nikolova Georgieva-Tsaneva
Keyword(s):  
Heart Rate ◽  
Heart Rate Variability ◽  
Statistical Methods ◽  
Detrended Fluctuation Analysis ◽  
Age Groups ◽  
Research Problem ◽  
Fluctuation Analysis ◽  
Short Term ◽  
Detrended Fluctuation

The physiological signals that are recorded from different parts of the human body have a non-stationary nature and the tracking of their dynamics is an interesting research problem. This report examines Heart Rate Variability through the use of statistical methods of analysis that are traditionally used to study the functionality of the heart and via Detrended Fluctuation Analysis. The use of the technique of Detrended Fluctuation Analysis allows the investigation of short-term and long-term correlations in non-stationary Heart Rate Variability series. A study has been made of the changes in the functioning of the human heart, depending on the age. The study encompasses healthy individuals in three different age groups. The analysis of the obtained results shows a change in the correlated behavior of the investigated signals with an increase in age.

Understanding long-term persistence and multifractal behaviors in river runoff: A detailed study over China

2020 ◽  
Author(s):  
Naiming Yuan ◽  
Wenlu Wu ◽  
Fenghua Xie ◽  
Yanjun Qi
Keyword(s):  
River Runoff ◽  
Detrended Fluctuation Analysis ◽  
Data Availability ◽  
Fluctuation Analysis ◽  
Precipitation Data ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Runoff Change ◽  
Catchment Areas ◽  
Detrended Fluctuation

<p><span>Long-term persistence (LTP) and multifractality in river runoff fluctuations have been well recognized over the recent decades, but the origins of these characteristics are still under debate. In this study, runoff and precipitation data from China are analyzed using detrended fluctuation analysis (DFA) and its generalized version, multifractal detrended fluctuation analysis (MF-DFA). By comparing the results between runoff and the nearby precipitation data, we find the multifractal behaviors in river runoff may be propagated from the nearby precipitation data, but the LTP is not inherited from precipitation. The LTP in river runoff may arise from the spatial aggregation effect, as it is closely related with the catchment area, especially for stations with large catchment areas. These findings are based on data from China, which was not analyzed systematically due to the poor data availability. Since the existence of LTP and multifractality makes the runoff change not completely random, one should further introduce these characteristics into hydrological models, for improved water managements and better estimations of hazard risks.</span></p>

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