Discriminating Between Different Streamflow Regimes by Using the Fisher-Shannon Method : An Application to the Colombia Rivers

• Autorzy: Pierini J. O. , Restrepo J. C. , Lovallo M. , Telesca L.

Identyfikatory

DOI

10.2478/s11600-014-0229-2

• Języki publikacji: EN

Abstrakty

EN

The Fisher-Shannon (FS) information plane, defined by the Fisher information measure (FIM) and the Shannon entropy power (NX), was robustly used to investigate the complex dynamics of eight monthly streamflow time series in Colombia. In the FS plane the streamflow series seem to aggregate into two different clusters corresponding to two different climatological regimes in Colombia. Our findings suggest the use of the statistical quantity defined by the FS information plane as a tool to discriminate among different hydrological regimes.

Słowa kluczowe

EN

Caribbean streamflow; Fisher information measure; Shannon entropy

PL

Karaiby; przepływ strumienia; pomiar informacji Fishera; entropia Shannona

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2015
• Tom: Vol. 63, no. 2
• Strony: 533--546
• Opis fizyczny: Bibliogr. 27 poz., rys., tab., wykr.

Twórcy

autor

Pierini J. O.

• Centro Científico y Tecnológico de Bahía Blanca (CCT-BB, CIC, UNS), CRIBABB, Bahía Blanca, Argentina

autor

Restrepo J. C.

• Grupo de Física Aplicada: Océano y Atmósfera, Departamento de Fisica, Universidad del Norte, Barranquilla, Colombia

autor

Lovallo M.

• Agenzia Regionale per la Protezione dell'Ambiente di Basilicata (ARPAB), Potenza, Italy

autor

Telesca L.

• National Research Council of Italy, Institute of Methodologies for Environmental Analysis (CNR-IMAA), Tito, Italy

Bibliografia

• [1] Devroye, L.A. (1987), Course on Density Estimation, Birkhauser, Boston.
• [2] Esquivel, R.O., J.C. Angulo, J. Antolin, J.S. Dehesa, S. López-Rosa, and N. FloresGallegos(2010), Analysis of complexity measures and information planesof selected molecules in position and momentum spaces, Phys. Chem. Chem. Phys. 12, 7108-7116, DOI: 10.1039/B927055H.
• [3] Fath, B.D., H. Cabezas, and C.W. Pawlowski (2003), Regime changes in ecological systems: an information theory approach, J. Theor. Biol. 222, 4, 517-530, DOI:10.1016/S0022-5193(03)00067-5.
• [4] Fisher, R.A. (1925), Theory of statistical estimation, Math. Proc. Cambridge Philos. Soc. 22, 5, 700-725, DOI: 10.1017/S0305004100009580.
• [5] Frieden, B.R. (1990), Fisher information, disorder, and the equilibrium distributions of physics, Phys. Rev. A 41, 4265-4276, DOI: 10.1103/PhysRevA.41.4265.
• [6] Gutiérrez, F., and J.A. Dracup (2001), An analysis of the feasibility of long-range streamflow forecasting for Colombia using El Niño–Southern Oscillation indicators, J. Hydrol. 246, 1-4, 181-196, DOI: 10.1016/S0022-1694(01)00373-0.
• [7] Janicki, A., and A. Weron (1994), Simulation and Chaotic Behavior of alpha-Stable Stochastic Processes, Marcel Dekker Inc., New York.
• [8] Lovallo, M., and L. Telesca (2011), Complexity measures and information planes of x-ray astrophysical sources, J. Stat. Mech. 2011, 3, P03029, DOI:10.1088/1742-5468/2011/03/P03029.
• [9] Martin, M.T., F. Pennini, and A. Plastino (1999), Fisher’s information and the analysis of complex signals, Phys. Lett. A 256, 2-3, 173-180, DOI:10.1016/S0375-9601(99)00211-X.
• [10] Martin, M.T., J. Perez, and A. Plastino (2001), Fisher information and nonlinear dynamics, Physica A 291, 1-4, 523-532, DOI: 10.1016/S0378-4371(00)00531-8.
• [11] Mesa, O., G. Poveda, and L. Carvajal (1997), Introducción al Clima de Colombia, Universidad Nacional de Colombia, Bogotá, Colombia, 390 pp. (in Spanish).
• [12] Milliman, J.D., K.L. Farnsworth, P.D. Jones, K.H. Xu, and L.C. Smith (2008), Climatic and anthropogenic factors affecting river discharge to the global ocean, 1951-2000, Global Planet. Change 62, 3-4, 187-194, DOI: 10.1016/j.gloplacha.2008.03.001.
• [13] Pekarova, P., P. Miklanek, and J. Pekar (2003), Spatial and temporal runoff oscillation analysis of the main rivers of the world during the 19th-20th centuries, J. Hydrol. 274, 1-4, 62-79, DOI: 10.1016/S0022-1694(02)00397-9.
• [14] Probst, J.L., and Y. Tardy (1987), Long range streamflow and world continental runoff fluctuations since the beginning of this century, J. Hydrol. 94, 3-4, 289-311, DOI:10.1016/0022-1694(87)90057-6.
• [15] Raykar, V.C., and R. Duraiswami (2006), Fast optimal bandwidth selection for kernel density estimation. In: J. Ghosh, D. Lambert, D. Skillicorn, and J. Srivastava (eds.), Proc. Sixth SIAM Int. Conf. Data Mining, 20-22 April 2006, Bethesda, USA, 524-528.
• [16] Restrepo, J.C., and J.D. Restrepo (2005), Efectos naturales y antrópicos en la producción de sedimentos de la Cuenca del Río Magdalena, Rev. Acad. Col. Cien. Exact. Fís. Nat. 29, 111, 239-254 (in Spanish).
• [17] Restrepo, J.C., J.C. Ortíz, J. Pierini, K. Schrottke, M. Maza, L. Otero, and J. Aguirre (2014), Freshwater discharge into the Caribbean Sea from the rivers of Northwestern South America (Colombia): Magnitude, variability and recent changes, J. Hydrol. 509, 266-281, DOI:10.1016/j.jhydrol.2013.11.045.
• [18] Restrepo, J.D., and B. Kjerfve (2000), Magdalena river: interannual variability (1975-1995) and revised water discharge and sediment load estimates, J. Hydrol. 235, 1-2, 137-149, DOI: 10.1016/S0022-1694(00)00269-9.
• [19] Restrepo, J.D., B. Kjerfve, M. Hermelin, and J.C. Restrepo (2006), Factors controlling sediment yield in a major South American drainage basin: the Magdalena River, Colombia, J. Hydrol. 316, 1-4, 213-232, DOI: 10.1016/j.jhydrol.2005.05.002.
• [20] Romera, E., and J.S. Dehesa (2004), The Fisher–Shannon information plane, an electron correlation tool, J. Chem. Phys. 120, 19, 8906-8912, DOI: 10.1063/1.1697374.
• [21] Shannon, C.E. (1948a), A mathematical theory of communication, Bell Syst. Tech. J. 27, 3, 379-423, DOI: 10.1002/j.1538-7305.1948.tb01338.x.
• [22] Shannon, C.E. (1948b), A mathematical theory of communication, Bell Syst. Tech. J. 27, 4, 623-656, DOI: 10.1002/j.1538-7305.1948.tb00917.x.
• [23] Telesca, L., and M. Lovallo (2011), Analysis of the time dynamics in wind records by means of multifractal detrended fluctuation analysis and the Fisher–Shannon information plane, J. Stat. Mech. 2011, 7, P07001, DOI: 10.1088/1742-5468/2011/07/P07001.
• [24] Telesca, L., M. Lovallo, A. Ramirez-Rojas, and F. Angulo-Brown ( 2009), A nonlinear strategy to reveal seismic precursory signatures in earthquake-relatedself-potential signals, Physica A 388, 10, 2036-2040, DOI: 10.1016/j.physa.2009.01.035.
• [25] Telesca, L., M. Lovallo, and R. Carniel (2010), Time-dependent Fisher Information Measure of volcanic tremor before the 5 April 2003 paroxysm at Stromboli volcano, Italy, J. Volcano. Geoth. Res. 195, 1, 78-82, DOI: 10.1016/j.jvolgeores.2010.06.010.
• [26] Telesca, L., M. Lovallo, H.-L. Hsu, and C.-C. Chen (2011), Analysis of dynamics in magnetotelluric data by using the Fisher-Shannon method, Physica A 390, 7, 1350-1355, DOI:. 10.1016/j.physa.2010.12.005.
• [27] Troudi, M., A.M. Alimi, and S. Saoudi (2008), Analytical plug-in method for kernel density estimator applied to genetic neutrality study, EURASIP J. Adv. Sig. Proc. 2008, 739082, DOI: 10.1155/2008/739082.