Complexity Diagnosis of Regional Groundwater Resources System Based on Symbolic Dynamics
Publication: Journal of Hydrologic Engineering
Volume 21, Issue 1
Abstract
With the development of an agricultural economy, agricultural water demand has increased. The increased demand has resulted in extremely unbalanced development and utilization of surface and groundwater and has seriously affected the sustainable development of a regional economic ecology. To understand the law covering the complex phenomena of groundwater systems, it is important to select the appropriate method to measure the complexity of groundwater resource systems. Previous analyses of regional groundwater resource systems had the shortcomings of ignoring the system complexity as well as difficulty to realize the importance in deed of scientific management of groundwater resources. The Jiansanjiang Administration research platform was used to detect the monthly depth series of groundwater complexity with an aim to determine the complexity of the series. The average complexity of groundwater table depth series of each subarea on a monthly basis by was determined adopting symbolic dynamics. The diagnostic analysis results showed that the complexity of monthly groundwater table depth series of each subarea of the Jiansanjiang Administration featured highest complexity in the northern area, lowest complexity in the middle area, and medium complexity in the southern area. Local agricultural production activities are the key driving factors of dynamic change of groundwater table depth. Compared with the traditional rescaled range (R/S) analysis fractal theory and wavelet entropy theory, they showed that the results of diagnostic analysis by symbolic dynamics have a higher degree of reasonableness, providing an effective method for the research on the complexity of regional hydrological processes. The research results have uncovered the evolution characteristic of complexity of the local groundwater depth, providing a scientific basis for partition management and sustainable utilization of regional groundwater resources. The goal of the research is the rational exploitation of Jiansanjiang groundwater. The study results reveal the complex spatial distribution pattern of local groundwater depth and provide scientific evidence for management and sustainable utilization of regional groundwater resources.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This study is supported by the National Natural Science Foundation of China (No. 41071053), Sub-Task of National Science and Technology Support Program for Rural Development in the 12th Five-Year Plan of China (No. 2013BAD20B04-S3), Specialized Research Fund for the Public Welfare Industry of the Ministry of Water Resources (No.201301096), Specialized Research Fund for Innovative Talents of Harbin (Excellent Academic Leader) (No. 2013RFXXJ001), Science and Technology Research Program of Education Department of Heilongjiang Province (No. 12531012), Science and Technology Program of Water Conservancy of Heilongjiang Province (No. 201319), Northeast Agricultural University Innovation Foundation For Postgraduate (No. yjscx14069).
References
Abásolo, D., Hornero, R., Gómez, C., García, M., and López, M. (2006). “Analysis of EEG background activity in Alzheimer’s disease patients with Lempel-Ziv complexity and central tendency measure.” Med. Eng. Phys., 28(4), 315–322.
Ahmed, S. U., Khan, M. F. E., and Shahjahan, M. (2011). A filter based feature selection approach using Lempel Ziv complexity, Vol. 6676, Lecture Notes in Computer Science, 260–269.
Al-Nashash, H. A., Paul, J. S., Ziai, W. C., Hanley, D. F., and Thakor, N. V. (2003). “Wavelet entropy for subband segmentation of EEG during injury and recovery.” Ann. Biomed. Eng., 31(6), 653–658.
Bingjun, L., Chunyang, Z., and Jie, Z. (2002). “Effects of non-dimensional quantities of original data on grey incidence order.” J. Henan Agric. Univ., 36(2), 199–202.
Cabral, E. F., Pecora, P. C., Arce, A. I. C., Tech, A. R. B., and Costa, E. J. X. (2011). “The oscillatory bioelectrical signal from plants explained by a simulated electrical model and tested using Lempel-Ziv complexity.” Comput. Electron. Agric., 76(1), 1–5.
Chelani, A. (2011). “Complexity analysis of CO concentrations at a traffic site in Delhi.” Transp. Res. Part D: Trans. Environ., 16(1), 57–60.
Fallah-Mehdipour, E., Haddad, O. B., and Mariño, M. A. (2014). “Genetic programming in groundwater modeling.” J. Hydrol. Eng., 04014031.
Fernández, A., et al. (2011). “Lempel-Ziv complexity in schizophrenia: A MEG study.” Clin. Neurophysiology, 122(11), 2227–2235.
Gómez, C., Hornero, R., Abásolo, D., Fernández, A., and Escudero, J. (2009). “Analysis of MEG background activity in Alzheimer’s disease using nonlinear methods and ANFIS.” Ann. Biomed. Eng., 37(3), 586–594.
Gómez, C., Hornero, R., Abásolo, D., Fernández, A., and López, M. (2006). “Complexity analysis of the magnetoencephalogram background activity in Alzheimer’s disease patients.” Med. Eng. Phys., 28(9), 851–859.
GuangZhong, T. (2007). “The effect of dynamic groundwater level in Changping District.” Beijing Water, 31(5), 44–47.
Guo, L., Ma, K., and Zhang, Y. (2009). “Landscape assessment on wetland degradation during thirty years in Jiansanjiang region of Sanjiang Plain, northeast China.” Acta Ecol. Sin., 29(6), 3126–3135.
Hornero, R., Aboy, M., and Abásolo, D. (2007). “Analysis of intracranial pressure during acute intracranial hypertension using Lempel-Ziv complexity: Further evidence.” Med. Biol. Eng. Comput., 45(6), 617–620.
Itokawa, Y., Katoh, K., Uchida, T., and Shoudai, T. (2010). Algorithm using expanded LZ compression scheme for compressing tree structured data, Vol. 52, Lecture Notes in Electrical Engineering, 333–346.
Jayawardena, A., and Lai, F. (1994). “Analysis and prediction of chaos in rainfall and stream flow time series.” J. Hydrol., 153(1), 23–52.
Juliang, J., Yiming, W., Jing, D., and Qiang, F. (2004). “A study on the theoretics frame of water resources systems engineering.” Syst. Eng. Theory Pract., 24(2), 130–137.
Kaspar, F., and Schuster, H. (1987). “Easily calculable measure for the complexity of spatiotemporal patterns.” Phys. Rev. A, 36(2), 842–848.
Lempel, A., and Ziv, J. (1976). “On the complexity of finite sequences.” IEEE Trans. Inform. Theory, 22(1), 75–81.
Liu, M., Liu, D., and Liu, L. (2013). “Complexity research of regional groundwater depth series based on multiscale entropy: A case study of Jiangsanjiang Branch Bureau in China.” Environ. Earth Sci., 70(1), 353–361.
Mandelbrot, B. B. (1967). “How long is the coast of Britain.” Science, 156(3775), 636–638.
Matos, J. M. O., de Moura, E. P., Krüger, S. E., and Rebello, J. M. A. (2004). “Rescaled range analysis and detrended fluctuation analysis study of cast irons ultrasonic backscattered signals.” Chaos, Solitons Fractals, 19(1), 55–60.
Min, L., LingMei, H., Bing, S., and YanJun, S. (2009). “Physical influencing factors of groundwater depth in Hotan Oasis.” Chin. J. Eco-Agric., 17(1), 174–177.
Ning-De, J., and Shu, D. F. Z. (2007). “The complexity measure analysis of conductance fluctuation signals of gas-liquid two-phase flow and its flow pattern characterization.” Acta Phys. Sin., 56(2), 720–729.
Nottale, L. (2010). “Scale relativity and fractal space-time: Theory and applications.” Found. Sci., 15(2), 101–152.
Rahman, M. M., Goel, N. K., and Arya, D. S. (2014). “Development of the Jamuneswari flood forecasting system: Case study in Bangladesh.” Am. Soc. Civ. Eng., 17(10), 1123–1140.
Singh, V. P., and Woolhiser, D. A. (2002). “Mathematical modeling of watershed hydrology.” J. Hydrol. Eng., 270–292.
Szczepański, J., Amigó, J. M., Wajnryb, E., and Sanchez-Vives, M. V. (2004). “Characterizing spike trains with Lempel-Ziv complexity.” Neurocomputing, 58(3), 79–84.
Talebinejad, M., Chan, A. D., and Miri, A. (2011). “A Lempel-Ziv complexity measure for muscle fatigue estimation.” J. Electromyography Kinesiology, 21(2), 236–241.
Taormina, R., Chau, K.-W., and Sethi, R. (2012). “Artificial neural network simulation of hourly groundwater levels in a coastal aquifer system of the Venice lagoon.” Eng. Appl. Artif. Intell., 25(8), 1670–1676.
Wang, W., Huang, W., and Ding, J. (2005). “Study on the complexity of runoff change based on the dis-noising of wavelet transform and symbolic dynamics.” Adv. Water Sci., 16(3), 380.
Xingxing, X., Shu, L., Chunli, Z., and Jiankang, L. (2005). “Study on the application of Lempel-Ziv complexity in the nonlinear detecting.” Complex Syst. Complexity Sci., 31(3), 61–66.
Zhang, D.-Z., Tan, X.-H., Wang, Z., and Liu, Z.-Q. (2008). “Complexity algorithm based on equiprobable coarse graining and its application.” J. Syst. Simul., 20(15), 4095–4096.
Zhang, X.-S., and Roy, R. J. (1999). “Predicting movement during anaesthesia by complexity analysis of electroencephalograms.” Med. Biol. Eng. Comput., 37(3), 327–334.
Zhao, Q. (2009). “Research on the trend of underground water change in Jiansanjiang area based on gray prediction.” J. Water Resour. Water Eng., 20(5), 128–130.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 21 • Issue 1 • January 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Oct 17, 2013
Accepted: Apr 17, 2015
Published online: Jun 10, 2015
Discussion open until: Nov 10, 2015
Published in print: Jan 1, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.