메뉴 건너뛰기




Volumn 28, Issue 1, 2014, Pages 17-27

Nonlinear analysis of rainfall variability in Australia

Author keywords

Australia; Correlation dimension; Nonlinear dynamics; Phase space reconstruction; Rainfall variability

Indexed keywords

CHAOS THEORY; COMPLEX NETWORKS; DYNAMICS; NONLINEAR ANALYSIS; PHASE SPACE METHODS; TIME SERIES;

EID: 84889081167     PISSN: 14363240     EISSN: 14363259     Source Type: Journal    
DOI: 10.1007/s00477-013-0689-y     Document Type: Article
Times cited : (33)

References (52)
  • 1
    • 54449095606 scopus 로고    scopus 로고
    • Australian Bureau of Statistics, Canberra: Australian Bureau of Statistics
    • Australian Bureau of Statistics (2008) Population projections: Australia. Australian Bureau of Statistics, Canberra.
    • (2008) Population Projections: Australia
  • 2
  • 3
    • 0000118201 scopus 로고
    • Dynamical systems theory applied to long-term temperature and precipitation time series
    • Berndtsson R, Jinno K, Kawamura A, Olsson J, Xu S (1994) Dynamical systems theory applied to long-term temperature and precipitation time series. Trends Hydrol 1: 291-297.
    • (1994) Trends Hydrol , vol.1 , pp. 291-297
    • Berndtsson, R.1    Jinno, K.2    Kawamura, A.3    Olsson, J.4    Xu, S.5
  • 4
    • 79952992496 scopus 로고    scopus 로고
    • Current drought and future hydroclimate projections in southeast Australia and implications for water resources management
    • Chiew FHS, Young W, Cai W, Teng J (2010) Current drought and future hydroclimate projections in southeast Australia and implications for water resources management. Stoch Environ Res Risk Assess 25(4): 601-612.
    • (2010) Stoch Environ Res Risk Assess , vol.25 , Issue.4 , pp. 601-612
    • Chiew, F.H.S.1    Young, W.2    Cai, W.3    Teng, J.4
  • 6
    • 37349094083 scopus 로고    scopus 로고
    • CSIRO and Bureau of Meteorology. Technical Report
    • CSIRO and Bureau of Meteorology (2007) Climate change in Australia. Technical Report. www. climatechangeinaustralia. gov. au.
    • (2007) Climate change in Australia
  • 7
    • 34548696055 scopus 로고
    • Independent coordinates for strange attractors from mutual information
    • Frazer AM, Swinney HL (1986) Independent coordinates for strange attractors from mutual information. Phys Rev A 33(2): 1134-1140.
    • (1986) Phys Rev A , vol.33 , Issue.2 , pp. 1134-1140
    • Frazer, A.M.1    Swinney, H.L.2
  • 8
    • 0000999128 scopus 로고
    • Comment on Chaos in rainfall
    • Ghilardi P, Rosso R (1990) Comment on "Chaos in rainfall". Water Resour Res 26(8): 1837-1839.
    • (1990) Water Resour Res , vol.26 , Issue.8 , pp. 1837-1839
    • Ghilardi, P.1    Rosso, R.2
  • 9
    • 40749093037 scopus 로고
    • Measuring the strangeness of strange attractors
    • Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D 9: 189-208.
    • (1983) Physica D , vol.9 , pp. 189-208
    • Grassberger, P.1    Procaccia, I.2
  • 10
    • 0001616408 scopus 로고
    • An approach to error-estimation in the application of dimension algorithms
    • G. Mayer-Kress (Ed.), New York: Springer
    • Holzfuss J, Mayer-Kress G (1986) An approach to error-estimation in the application of dimension algorithms. In: Mayer-Kress G (ed) Dimensions and entropies in chaotic systems. Springer, New York, pp 114-122.
    • (1986) Dimensions and Entropies in Chaotic Systems , pp. 114-122
    • Holzfuss, J.1    Mayer-Kress, G.2
  • 11
    • 0034642947 scopus 로고    scopus 로고
    • Noise reduction and prediction of hydrometeorological time series: dynamical systems approach vs. stochastic approach
    • Jayawardena AW, Gurung AB (2000) Noise reduction and prediction of hydrometeorological time series: dynamical systems approach vs. stochastic approach. J Hydrol 228: 242-264.
    • (2000) J Hydrol , vol.228 , pp. 242-264
    • Jayawardena, A.W.1    Gurung, A.B.2
  • 12
    • 0028199319 scopus 로고
    • Analysis and prediction of chaos in rainfall and stream flow time series
    • Jayawardena AW, Lai F (1994) Analysis and prediction of chaos in rainfall and stream flow time series. J Hydrol 153: 23-52.
    • (1994) J Hydrol , vol.153 , pp. 23-52
    • Jayawardena, A.W.1    Lai, F.2
  • 13
    • 0034787335 scopus 로고    scopus 로고
    • Using spatial interpolation to construct a comprehensive archive of Australia climate data
    • Jeffrey SJ, Carter JO, Moodie KB, Beswick AR (2001) Using spatial interpolation to construct a comprehensive archive of Australia climate data. Environ Modell Softw 16: 309-330.
    • (2001) Environ Modell Softw , vol.16 , pp. 309-330
    • Jeffrey, S.J.1    Carter, J.O.2    Moodie, K.B.3    Beswick, A.R.4
  • 14
    • 77749330125 scopus 로고    scopus 로고
    • High-quality spatial climate data-sets for Australia
    • Jones DA, Wang W, Fawcett R (2009) High-quality spatial climate data-sets for Australia. Aust Meteorol Ocean J 58: 233-248.
    • (2009) Aust Meteorol Ocean J , vol.58 , pp. 233-248
    • Jones, D.A.1    Wang, W.2    Fawcett, R.3
  • 15
    • 33845297981 scopus 로고    scopus 로고
    • On the quest for chaotic attractors in hydrological processes
    • Koutsoyiannis D (2006) On the quest for chaotic attractors in hydrological processes. Hydrol Sci J 51(6): 1065-1091.
    • (2006) Hydrol Sci J , vol.51 , Issue.6 , pp. 1065-1091
    • Koutsoyiannis, D.1
  • 17
    • 0031091818 scopus 로고    scopus 로고
    • An extended high-quality historical rainfall dataset for Australia
    • Lavery B, Joung G, Nicholls N (1997) An extended high-quality historical rainfall dataset for Australia. Aust Meteorol Mag 46: 27-38.
    • (1997) Aust Meteorol Mag , vol.46 , pp. 27-38
    • Lavery, B.1    Joung, G.2    Nicholls, N.3
  • 18
    • 0000937105 scopus 로고
    • Proper choice of the time delay for the analysis of chaotic time series
    • Leibert W, Schuster HG (1989) Proper choice of the time delay for the analysis of chaotic time series. Phys Lett A 141: 386-390.
    • (1989) Phys Lett A , vol.141 , pp. 386-390
    • Leibert, W.1    Schuster, H.G.2
  • 19
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz EN (1963) Deterministic nonperiodic flow. J Atmos Sci 20: 130-141.
    • (1963) J Atmos Sci , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 20
    • 67349250392 scopus 로고    scopus 로고
    • Evaluating spatio-temporal representations in daily rainfall sequences from three stochastic multi-site weather generation approaches
    • Mehrotra R, Sharma A (2009) Evaluating spatio-temporal representations in daily rainfall sequences from three stochastic multi-site weather generation approaches. Adv Water Resour 32: 948-962.
    • (2009) Adv Water Resour , vol.32 , pp. 948-962
    • Mehrotra, R.1    Sharma, A.2
  • 21
    • 77955182869 scopus 로고    scopus 로고
    • Development and application of a multisite rainfall stochastic downscaling framework for climate change impact assessment
    • Mehrotra R, Sharma A (2010) Development and application of a multisite rainfall stochastic downscaling framework for climate change impact assessment. Water Resour Res 46: W07526.
    • (2010) Water Resour Res , vol.46
    • Mehrotra, R.1    Sharma, A.2
  • 22
    • 0000020809 scopus 로고
    • Correlation dimension and systematic geometric effects
    • Nerenberg MAH, Essex C (1990) Correlation dimension and systematic geometric effects. Phys Rev A 42(12): 7065-7074.
    • (1990) Phys Rev A , vol.42 , Issue.12 , pp. 7065-7074
    • Nerenberg, M.A.H.1    Essex, C.2
  • 23
    • 85086256892 scopus 로고    scopus 로고
    • The use of TRMM satellite data as a predictor in the interpolation of daily precipitation over Australia
    • Cairns, Australia
    • Oke AMC, Frost AJ, Beesley CA (2009) The use of TRMM satellite data as a predictor in the interpolation of daily precipitation over Australia. In: 18th World IMACS/MODSIM Congress, Cairns, Australia.
    • (2009) In: 18th World IMACS/MODSIM Congress
    • Oke, A.M.C.1    Frost, A.J.2    Beesley, C.A.3
  • 24
    • 5544310124 scopus 로고
    • Finite correlation dimension for stochastic systems with power-law spectra
    • Osborne AR, Provenzale A (1989) Finite correlation dimension for stochastic systems with power-law spectra. Physica D 35: 357-381.
    • (1989) Physica D , vol.35 , pp. 357-381
    • Osborne, A.R.1    Provenzale, A.2
  • 26
    • 0029659665 scopus 로고    scopus 로고
    • A deterministic geometric representation of temporal rainfall. Results for a storm in Boston
    • Puente CE, Obregon N (1996) A deterministic geometric representation of temporal rainfall. Results for a storm in Boston. Water Resour Res 32(9): 2825-2839.
    • (1996) Water Resour Res , vol.32 , Issue.9 , pp. 2825-2839
    • Puente, C.E.1    Obregon, N.2
  • 28
    • 84998728905 scopus 로고    scopus 로고
    • Which chaos in the rainfall-runoff process? A discussion on 'Evidence of chaos in the rainfall-runoff process' by Sivakumar et al
    • Schertzer D, Tchiguirinskaia I, Lovejoy S, Hubert P, Bendjoudi H (2002) Which chaos in the rainfall-runoff process? A discussion on 'Evidence of chaos in the rainfall-runoff process' by Sivakumar et al. Hydrol Sci J 47(1): 139-147.
    • (2002) Hydrol Sci J , vol.47 , Issue.1 , pp. 139-147
    • Schertzer, D.1    Tchiguirinskaia, I.2    Lovejoy, S.3    Hubert, P.4    Bendjoudi, H.5
  • 29
    • 0001981585 scopus 로고    scopus 로고
    • Observing and predicting chaotic signals: is 2% noise too much?
    • In: Kravtsov YuA, Kadtke JB (eds). Springer, Berlin
    • Schreiber T, Kantz H (1996) Observing and predicting chaotic signals: is 2% noise too much? In: Kravtsov YuA, Kadtke JB (eds) Predictability of complex dynamical systems. Springer, Berlin, pp 43-65.
    • (1996) Predictability of complex dynamical systems , pp. 43-65
    • Schreiber, T.1    Kantz, H.2
  • 30
    • 0034737012 scopus 로고    scopus 로고
    • Chaos theory in hydrology: important issues and interpretations
    • Sivakumar B (2000) Chaos theory in hydrology: important issues and interpretations. J Hydrol 227(1-4): 1-20.
    • (2000) J Hydrol , vol.227 , Issue.1-4 , pp. 1-20
    • Sivakumar, B.1
  • 31
    • 0035698893 scopus 로고    scopus 로고
    • Rainfall dynamics at different temporal scales: a chaotic perspective
    • Sivakumar B (2001) Rainfall dynamics at different temporal scales: a chaotic perspective. Hydrol Earth Syst Sci 5(4): 645-651.
    • (2001) Hydrol Earth Syst Sci , vol.5 , Issue.4 , pp. 645-651
    • Sivakumar, B.1
  • 32
    • 0042592966 scopus 로고    scopus 로고
    • Chaos theory in geophysics: past, present and future
    • Sivakumar B (2004) Chaos theory in geophysics: past, present and future. Chaos Solitons Fractals 19(2): 441-462.
    • (2004) Chaos Solitons Fractals , vol.19 , Issue.2 , pp. 441-462
    • Sivakumar, B.1
  • 33
    • 23044504450 scopus 로고    scopus 로고
    • Correlation dimension estimation of hydrologic series and data size requirement: myth and reality
    • Sivakumar B (2005a) Correlation dimension estimation of hydrologic series and data size requirement: myth and reality. Hydrol Sci J 50(4): 591-604.
    • (2005) Hydrol Sci J , vol.50 , Issue.4 , pp. 591-604
    • Sivakumar, B.1
  • 34
    • 9944235074 scopus 로고    scopus 로고
    • Hydrologic modeling and forecasting: role of thresholds
    • Sivakumar B (2005b) Hydrologic modeling and forecasting: role of thresholds. Environ Model Softw 20(5): 515-519.
    • (2005) Environ Model Softw , vol.20 , Issue.5 , pp. 515-519
    • Sivakumar, B.1
  • 35
    • 70349745639 scopus 로고    scopus 로고
    • Nonlinear dynamics and chaos in hydrologic systems: latest developments and a look forward
    • Sivakumar B (2009) Nonlinear dynamics and chaos in hydrologic systems: latest developments and a look forward. Stoch Environ Res Risk Assess 23: 1027-1036.
    • (2009) Stoch Environ Res Risk Assess , vol.23 , pp. 1027-1036
    • Sivakumar, B.1
  • 36
    • 84879731957 scopus 로고    scopus 로고
    • Hydrologic system complexity and nonlinear dynamic concepts for a catchment classification framework
    • Sivakumar B, Singh VP (2012) Hydrologic system complexity and nonlinear dynamic concepts for a catchment classification framework. Hydrol Earth Syst Sci 16: 4119-4131.
    • (2012) Hydrol Earth Syst Sci , vol.16 , pp. 4119-4131
    • Sivakumar, B.1    Singh, V.P.2
  • 38
    • 0033536168 scopus 로고    scopus 로고
    • A systematic approach to noise reduction in chaotic hydrological time series
    • Sivakumar B, Phoon KK, Liong SY, Liaw CY (1999b) A systematic approach to noise reduction in chaotic hydrological time series. J Hydrol 219(3/4): 103-135.
    • (1999) J Hydrol , vol.219 , Issue.3-4 , pp. 103-135
    • Sivakumar, B.1    Phoon, K.K.2    Liong, S.Y.3    Liaw, C.Y.4
  • 39
    • 0034463063 scopus 로고    scopus 로고
    • Dynamics of monthly rainfall-runoff process at the Göta basin: a search for chaos
    • Sivakumar B, Berndtsson R, Olsson J, Jinno K, Kawamura A (2000) Dynamics of monthly rainfall-runoff process at the Göta basin: a search for chaos. Hydrol Earth Syst Sci 4(3): 407-417.
    • (2000) Hydrol Earth Syst Sci , vol.4 , Issue.3 , pp. 407-417
    • Sivakumar, B.1    Berndtsson, R.2    Olsson, J.3    Jinno, K.4    Kawamura, A.5
  • 41
    • 0041844533 scopus 로고    scopus 로고
    • Reply to 'which chaos in the rainfall-runoff process?' by Schertzer et al
    • Sivakumar B, Berndtsson R, Olsson J, Jinno K (2002a) Reply to 'which chaos in the rainfall-runoff process?' by Schertzer et al. Hydrol Sci J 47(1): 149-158.
    • (2002) Hydrol Sci J , vol.47 , Issue.1 , pp. 149-158
    • Sivakumar, B.1    Berndtsson, R.2    Olsson, J.3    Jinno, K.4
  • 42
    • 0036214974 scopus 로고    scopus 로고
    • Is correlation dimension a reliable indicator of low-dimensional chaos in short hydrological time series?
    • doi: 10. 1029/2001WR00333
    • Sivakumar B, Persson M, Berndtsson R, Uvo CB (2002b) Is correlation dimension a reliable indicator of low-dimensional chaos in short hydrological time series? Water Resour Res 38(2). doi: 10. 1029/2001WR00333.
    • (2002) Water Resour Res , vol.38 , Issue.2
    • Sivakumar, B.1    Persson, M.2    Berndtsson, R.3    Uvo, C.B.4
  • 44
    • 35248857862 scopus 로고    scopus 로고
    • Hydrologic complexity and classification: a simple data reconstruction approach
    • Sivakumar B, Jayawardena AW, Li WK (2007) Hydrologic complexity and classification: a simple data reconstruction approach. Hydrol Process 21(20): 2713-2728.
    • (2007) Hydrol Process , vol.21 , Issue.20 , pp. 2713-2728
    • Sivakumar, B.1    Jayawardena, A.W.2    Li, W.K.3
  • 45
    • 0000201862 scopus 로고
    • Intrinsic limits on dimension calculations
    • Smith LA (1988) Intrinsic limits on dimension calculations. Phys Lett A 133(6): 283-288.
    • (1988) Phys Lett A , vol.133 , Issue.6 , pp. 283-288
    • Smith, L.A.1
  • 46
    • 0000779360 scopus 로고
    • Detecting strange attractors in turbulence
    • D. A. Rand and L. S. Young (Eds.), Berlin: Springer
    • Takens F (1981) Detecting strange attractors in turbulence. In: Rand DA, Young LS (eds) Dynamical systems and turbulence, Lecture notes in mathematics 898. Springer, Berlin, pp 366-381.
    • (1981) Dynamical Systems and Turbulence, Lecture Notes in Mathematics 898 , pp. 366-381
    • Takens, F.1
  • 47
    • 67649908587 scopus 로고    scopus 로고
    • An analysis of late twentieth century trends in Australian rainfall
    • Taschetto AS, England MH (2009) An analysis of late twentieth century trends in Australian rainfall. Int J Climatol 29: 791-807.
    • (2009) Int J Climatol , vol.29 , pp. 791-807
    • Taschetto, A.S.1    England, M.H.2
  • 48
    • 84975613293 scopus 로고
    • Estimating fractal dimension
    • Theiler J (1990) Estimating fractal dimension. J Opt Soc Am A 7: 1055-1073.
    • (1990) J Opt Soc Am A , vol.7 , pp. 1055-1073
    • Theiler, J.1
  • 49
    • 0024218570 scopus 로고
    • The weather attractor over very short timescales
    • Tsonis AA, Elsner JB (1988) The weather attractor over very short timescales. Nature 333: 545-547.
    • (1988) Nature , vol.333 , pp. 545-547
    • Tsonis, A.A.1    Elsner, J.B.2
  • 51
    • 3543023273 scopus 로고    scopus 로고
    • Biases of correlation dimension estimates of streamflow data in the Canadian prairies
    • Wang Q, Gan TY (1998) Biases of correlation dimension estimates of streamflow data in the Canadian prairies. Water Resour Res 34(9): 2329-2339.
    • (1998) Water Resour Res , vol.34 , Issue.9 , pp. 2329-2339
    • Wang, Q.1    Gan, T.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.