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Volumn 45, Issue 12, 2009, Pages

Hortonian scaling and effect of cutoffs on statistics of self-affine river networks

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE FLUCTUATIONS; ANALYTICAL EXPRESSIONS; BASIN BOUNDARY; CHANNEL LENGTH; CHARACTERISTIC LENGTH; DATA SUPPORT; DRAINAGE AREA; FINITE SIZE; FLOW DISTANCE; FRACTAL PROPERTIES; HURST EXPONENTS; NETWORK DENSITY; NEW MODEL; PLANAR STRUCTURE; RANDOM FUNCTIONS; RIVER BASINS; RIVER NETWORK; SCALE DEPENDENCY; SCALING RELATIONS; SELF-AFFINE; SEMI-EMPIRICAL; SPATIAL CORRELATIONS; STATISTICAL MOMENTS; STEADY STATE; SUBBASINS; THEORETICAL BASIS; TWO DIMENSIONAL SPACES; VEGETATIVE COVER;

EID: 77954370407     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2009WR008124     Document Type: Article
Times cited : (4)

References (55)
  • 1
    • 11344273264 scopus 로고    scopus 로고
    • On the coupled geomorphological and ecohydrological organization of river basins
    • DOI 10.1016/j.advwatres.2004.08.013, PII S0309170804001629
    • Caylor, K. K., S. Manfreda, and I. Rodriguez-Iturbe (2005), On the coupled geomorphological organization of river basins, Adv. Water Resour., 28, 69-86, doi:10.1016/j.advwatres.2004.08.013. (Pubitemid 40077368)
    • (2005) Advances in Water Resources , vol.28 , Issue.1 , pp. 69-86
    • Caylor, K.K.1    Manfreda, S.2    Rodriguez-Iturbe, I.3
  • 2
    • 38549145459 scopus 로고    scopus 로고
    • A general fractal model of flow and solute transport in randomly heterogeneous porous media
    • DOI 10.1029/2007WR005934
    • Chen, K.-C., and K.-C. Hsu (2007), A general fractal model of flow and solute transport in randomly heterogeneous porous media, Water Resour. Res., 43, W12501, doi:10.1029/2007WR005934. (Pubitemid 351161989)
    • (2007) Water Resources Research , vol.43 , Issue.12
    • Chen, K.-C.1    Hsu, K.-C.2
  • 3
    • 22944451486 scopus 로고    scopus 로고
    • Generating and scaling fractional Brownian motion on finite domains
    • DOI 10.1029/2005GL022608, L08404
    • Cintoli, S., S. P. Neuman, and V. Di Federico (2005), Generating and scaling fractional Brownian motion on finite domains, Geophys. Res. Lett., 32, L08404, doi:10.1029/2005GL022608. (Pubitemid 41043258)
    • (2005) Geophysical Research Letters , vol.32 , Issue.8 , pp. 1-4
    • Cintoli, S.1    Neuman, S.P.2    Di Federico, V.3
  • 4
    • 37549032733 scopus 로고    scopus 로고
    • Probabilistic structure of the distance between tributaries of given size in river networks
    • doi:10.1029/2007WR006176
    • Convertino, M., R. Rigon, A. Maritan, I. Rodriguez-Iturbe, and A. Rinaldo (2007), Probabilistic structure of the distance between tributaries of given size in river networks, Water Resour. Res., 43, W11418, doi:10.1029/ 2007WR006176.
    • (2007) Water Resour. Res. , vol.43
    • Convertino, M.1    Rigon, R.2    Maritan, A.3    Rodriguez-Iturbe, I.4    Rinaldo, A.5
  • 5
    • 0030618861 scopus 로고    scopus 로고
    • Scaling of random fields by means of truncated power variograms and associated spectra
    • doi:10.1029/97WR00299
    • Di Federico, V., and S. P. Neuman (1997), Scaling of random fields by means of truncated power variograms and associated spectra, Water Resour. Res., 33(5), 1075-1085, doi:10.1029/97WR00299.
    • (1997) Water Resour. Res. , vol.33 , Issue.5 , pp. 1075-1085
    • Di Federico, V.1    Neuman, S.P.2
  • 6
    • 0031982351 scopus 로고    scopus 로고
    • Flow in multiscale log conductivity fields with truncated power variograms
    • Di Federico, V., and S. P. Neuman (1998a), Flow in multiscale log conductivity fields with truncated power variograms, Water Resour. Res., 34(5), 975-987, doi:10.1029/98WR00220. (Pubitemid 28219531)
    • (1998) Water Resources Research , vol.34 , Issue.5 , pp. 975-987
    • Di Federico, V.1    Neuman, S.P.2
  • 7
    • 0031982274 scopus 로고    scopus 로고
    • Transport in multiscale log conductivity fields with truncated power variograms
    • Di Federico, V., and S. P. Neuman (1998b), Transport in multiscale log conductivity fields with truncated power variograms, Water Resour. Res., 34(5), 963-973, doi:10.1029/98WR00221. (Pubitemid 28219530)
    • (1998) Water Resources Research , vol.34 , Issue.5 , pp. 963-973
    • Di Federico, V.1    Neuman, S.P.2
  • 8
    • 0032872030 scopus 로고    scopus 로고
    • Anisotropy, lacunarity, and upscaled conductivity and its autocovariance in multiscale random fields with truncated power variograms
    • DOI 10.1029/1999WR900158
    • Di Federico, V., S. P. Neuman, and D. M. Tartakovsky (1999), Anisotropy, lacunarity, upscaled conductivity and its covariance in multiscale fields with truncated power variograms, Water Resour. Res., 35(10), 2891-2908, doi:10.1029/1999WR900158. (Pubitemid 29461959)
    • (1999) Water Resources Research , vol.35 , Issue.10 , pp. 2891-2908
    • Di Federico, V.1    Neuman, S.P.2    Tartakovsky, D.M.3
  • 9
    • 0004032570 scopus 로고    scopus 로고
    • 2nd ed., Prentice Hall, Upper Saddle River, N. J
    • Dingman, S. L. (2002), Physical Hydrology, 2nd ed., Prentice Hall, Upper Saddle River, N. J.
    • (2002) Physical Hydrology
    • Dingman, S.L.1
  • 10
    • 18644386664 scopus 로고    scopus 로고
    • Geometry of river networks. 1. Scaling, fluctuations, and deviations
    • Dodds, P. S., and D. H. Rothman (2001), Geometry of river networks. 1. Scaling, fluctuations, and deviations, Phys. Rev. E., 63(2), 016115.
    • (2001) Phys. Rev. E. , vol.63 , Issue.2 , pp. 016115
    • Dodds, P.S.1    Rothman, D.H.2
  • 11
    • 0003586464 scopus 로고
    • Plenum, New York
    • Feder, J. (1988), Fractals, Plenum, New York.
    • (1988) Fractals
    • Feder, J.1
  • 12
    • 0011975262 scopus 로고    scopus 로고
    • Wavelet-Based Multiscaling in Self-Affine Random Media
    • DOI 10.1142/S0218348X00000433
    • Frantziskonis, G., and A. Hansen (2000), Wavelet-based multiscaling in self-affine random media, Fractals, 8(4), 403-411, doi:10.1142/ S0218348X00000433. (Pubitemid 33218717)
    • (2000) Fractals , vol.8 , Issue.4 , pp. 403-412
    • Frantziskonis, G.1    Hansen, A.2
  • 13
    • 3142710385 scopus 로고    scopus 로고
    • Stochastic models that separate fractal dimension and the Hurst effect
    • doi:10.1137/S0036144501394387
    • Gneiting, T., and M. Schlather (2004), Stochastic models that separate fractal dimension and the Hurst effect, SIAM Rev., 46(2), 269-282, doi:10.1137/S0036144501394387.
    • (2004) SIAM Rev. , vol.46 , Issue.2 , pp. 269-282
    • Gneiting, T.1    Schlather, M.2
  • 14
    • 20344399959 scopus 로고
    • Studies of longitudinal profiles in Virginia and Maryland, U.S. Geol. Surv. Prof. Paper, 294-B. nage basins; Hydrophysical approach to quantitative morphology
    • doi:10.1130/0016-7606(1945)56 [275:EDOSAT]2.0.CO;2
    • Hack, J. T. (1957), Studies of longitudinal profiles in Virginia and Maryland, U.S. Geol. Surv. Prof. Paper, 294-B. nage basins; hydrophysical approach to quantitative morphology, Geol. Soc. Am. Bull., 56, 275-370, doi:10.1130/0016-7606(1945)56 [275:EDOSAT]2.0.CO;2.
    • (1957) Geol. Soc. Am. Bull. , vol.56 , pp. 275-370
    • Hack, J.T.1
  • 15
    • 0000594876 scopus 로고
    • Self-affine scaling of fractal river courses and basin boundaries
    • doi:10.1016/0378-4371(94)90184-8
    • Ijjasz-Vasquez, E. J., R. L. Bras, and I. Rodriguez-Iturbe (1994), Self-affine scaling of fractal river courses and basin boundaries, Physica A, 209, 288-300, doi:10.1016/0378-4371(94)90184-8.
    • (1994) Physica A , vol.209 , pp. 288-300
    • Ijjasz-Vasquez, E.J.1    Bras, R.L.2    Rodriguez-Iturbe, I.3
  • 16
    • 0347951692 scopus 로고
    • Diffusion-limited aggregation with anisotropic sticking probability: A tentative model for river networks
    • doi:10.1143/JPSJ.55.3289
    • Kondoh, H., and M. Matsushita (1986), Diffusion-limited aggregation with anisotropic sticking probability: A tentative model for river networks, J. Phys. Soc. Jpn., 55(10), 3289-3292, doi:10.1143/JPSJ.55.3289.
    • (1986) J. Phys. Soc. Jpn. , vol.55 , Issue.10 , pp. 3289-3292
    • Kondoh, H.1    Matsushita, M.2
  • 17
    • 0039121688 scopus 로고
    • Self-affinity of Scheidegger's river patterns
    • Kondoh, H., M. Matsushita, and Y. Fukuda (1987), Self-affinity of Scheidegger's river patterns, J. Phys. Soc. Jpn., 56(6), 1913-1915.
    • (1987) J. Phys. Soc. Jpn. , vol.56 , Issue.6 , pp. 1913-1915
    • Kondoh, H.1    Matsushita, M.2    Fukuda, Y.3
  • 18
    • 0000816464 scopus 로고
    • The fractal geometry of river networks
    • LaBarbera, P., and R. Rosso (1987), The fractal geometry of river networks, Eos Trans. AGU, 68, 1276.
    • (1987) Eos Trans. AGU , vol.68 , pp. 1276
    • Labarbera, P.1    Rosso, R.2
  • 19
    • 0024568473 scopus 로고
    • On the fractal dimensions of stream networks
    • doi:10.1029/WR025i004p00735
    • LaBarbera, P., and R. Rosso (1989), On the fractal dimensions of stream networks, Water Resour. Res., 25(4), 735-741, doi:10.1029/WR025i004p00735.
    • (1989) Water Resour. Res. , vol.25 , Issue.4 , pp. 735-741
    • Labarbera, P.1    Rosso, R.2
  • 20
    • 1142278343 scopus 로고
    • On fractal dimension of streams networks
    • LaBarbera, P., and R. Rosso (1990), On fractal dimension of streams networks, Water Resour. Res., 26(9), 2245-2248.
    • (1990) Water Resour. Res. , vol.26 , Issue.9 , pp. 2245-2248
    • Labarbera, P.1    Rosso, R.2
  • 21
    • 5444244687 scopus 로고
    • How long is the coast of Britain? Statistical selfsimilarity and fractional dimension
    • doi:10.1126/science.156.3775.636
    • Mandelbrot, B. B. (1967), How long is the coast of Britain? Statistical selfsimilarity and fractional dimension, Science, 156, 636-638, doi:10.1126/science.156.3775.636.
    • (1967) Science , vol.156 , pp. 636-638
    • Mandelbrot, B.B.1
  • 23
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • doi:10.1137/1010093
    • Mandelbrot, B. B., and J.W. Van Ness (1968), Fractional Brownian motions, fractional noises and applications, SIAM Rev., 10, 422-437, doi:10.1137/1010093.
    • (1968) SIAM Rev. , vol.10 , pp. 422-437
    • Mandelbrot, B.B.1    Van Ness, J.W.2
  • 24
    • 0026288198 scopus 로고
    • A note on fractal channel networks
    • doi:10.1029/91WR02077
    • Marani, A., R. Rigon, and A. Rinaldo (1991), A note on fractal channel networks, Water Resour. Res., 27(12), 3041-3049, doi:10.1029/91WR02077.
    • (1991) Water Resour. Res. , vol.27 , Issue.12 , pp. 3041-3049
    • Marani, A.1    Rigon, R.2    Rinaldo, A.3
  • 26
    • 50849146376 scopus 로고
    • On the self-affinity of various curves
    • doi:10.1016/0167-2789(89)90201-7
    • Matsushita, M., and S. Ouchi (1989), On the self-affinity of various curves, Physica D, 38, 246-251, doi:10.1016/0167-2789(89)90201-7.
    • (1989) Physica D , vol.38 , pp. 246-251
    • Matsushita, M.1    Ouchi, S.2
  • 27
    • 0001629704 scopus 로고
    • Simple statistical models of river networks
    • doi:10.1016/0378-4371(91)90221-W
    • Meakin, P., J. Feder, and T. Jossang (1991), Simple statistical models of river networks, Physica A, 176, 409-429, doi:10.1016/0378-4371(91)90221-W.
    • (1991) Physica A , vol.176 , pp. 409-429
    • Meakin, P.1    Feder, J.2    Jossang, T.3
  • 28
    • 0028175645 scopus 로고
    • Generalized scaling of permeabilities: Validation and effect of support scale
    • doi:10.1029/94GL00308
    • Neuman, S. P. (1994), Generalized scaling of permeabilities: Validation and effect of support scale, Geophys. Res. Lett., 21(5), 349-352, doi:10.1029/94GL00308.
    • (1994) Geophys. Res. Lett. , vol.21 , Issue.5 , pp. 349-352
    • Neuman, S.P.1
  • 29
    • 0346590021 scopus 로고    scopus 로고
    • Relationship between juxtaposed, overlapping and fractal representations of multimodal spatial variability
    • doi:10.1029/2002WR001755
    • Neuman, S. P. (2003), Relationship between juxtaposed, overlapping and fractal representations of multimodal spatial variability, Water Resour. Res., 39(8), 1205, doi:10.1029/2002WR001755.
    • (2003) Water Resour. Res. , vol.39 , Issue.8 , pp. 1205
    • Neuman, S.P.1
  • 30
    • 60149084833 scopus 로고    scopus 로고
    • Multiscale relationships between fracture length, aperture, density and permeability
    • doi:10.1029/2008GL035622
    • Neuman, S. P. (2008), Multiscale relationships between fracture length, aperture, density and permeability, Geophys. Res. Lett., 35, L22402, doi:10.1029/2008GL035622.
    • (2008) Geophys. Res. Lett. , vol.35
    • Neuman, S.P.1
  • 31
    • 84870406234 scopus 로고    scopus 로고
    • Apparent/spurious multifractality of data sampled from fractional Brownian/Lévy motions
    • in press
    • Neuman, S. P. (2009), Apparent/spurious multifractality of data sampled from fractional Brownian/Lévy motions, Hydrol. Processes, in press.
    • (2009) Hydrol. Processes
    • Neuman, S.P.1
  • 32
    • 0348226510 scopus 로고    scopus 로고
    • Multifaceted nature of hydrogeologic scaling and its interpretation
    • doi:10.1029/2003RG000130
    • Neuman, S. P., and V. Di Federico (2003), Multifaceted nature of hydrogeologic scaling and its interpretation, Rev. Geophys., 41(3), 1014, doi:10.1029/2003RG000130.
    • (2003) Rev. Geophys. , vol.41 , Issue.3 , pp. 1014
    • Neuman, S.P.1    Di Federico, V.2
  • 33
    • 41149164101 scopus 로고    scopus 로고
    • On the geostatistical characterization of hierarchical media
    • DOI 10.1029/2007WR006228
    • Neuman, S. P., M. Riva, and A. Guadagnini (2008), On the geostatistical characterization of hierarchical media, Water Resour. Res., 44, W02403, doi:10.1029/2007WR006228. (Pubitemid 351442482)
    • (2008) Water Resources Research , vol.44 , Issue.2
    • Neuman, S.P.1    Riva, M.2    Guadagnini, A.3
  • 34
    • 24744469980 scopus 로고    scopus 로고
    • Power laws, Pareto distributions and Zipf's law
    • DOI 10.1080/00107510500052444
    • Newman, M. E. J. (2005), Power laws, Pareto distributions and Zipf's law, Contemp. Phys., 46(5), 323-351, doi:10.1080/00107510500052444. (Pubitemid 41335662)
    • (2005) Contemporary Physics , vol.46 , Issue.5 , pp. 323-351
    • Newman, M.E.J.1
  • 35
    • 0028175298 scopus 로고
    • On self-similarity and self-affinity of drainage basins
    • doi:10.1029/93WR02017
    • Nikora, V. I. (1994), On self-similarity and self-affinity of drainage basins, Water Resour. Res., 30(1), 133-137, doi:10.1029/93WR02017.
    • (1994) Water Resour. Res. , vol.30 , Issue.1 , pp. 133-137
    • Nikora, V.I.1
  • 36
    • 0027790742 scopus 로고
    • River network fractal geometry and its computer simulation
    • doi:10.1029/93WR00966
    • Nikora, V. I., and V. B. Sapozhnikov (1993), River network fractal geometry and its computer simulation, Water Resour. Res., 29(10), 3569-3575, doi:10.1029/93WR00966.
    • (1993) Water Resour. Res. , vol.29 , Issue.10 , pp. 3569-3575
    • Nikora, V.I.1    Sapozhnikov, V.B.2
  • 37
    • 0005083863 scopus 로고
    • Sur une courbe qui remplit toute une aire plane
    • doi:10.1007/BF01199438
    • Peano, G. (1890), Sur une courbe qui remplit toute une aire plane, Mat. Ann., 36, 157-160, doi:10.1007/BF01199438.
    • (1890) Mat. Ann. , vol.36 , pp. 157-160
    • Peano, G.1
  • 38
    • 0032413789 scopus 로고    scopus 로고
    • Fractal characteristics of drainage basin boundaries in Puerto Rico
    • Rice-Snow, S. (1998), Fractal characteristics of drainage basin boundaries in Puerto Rico, in Hydrology in the Humid Tropic Environment, IAHS Publ., 253, 195-201. (Pubitemid 29223858)
    • (1998) IAHS-AISH Publication , Issue.253 , pp. 195-201
    • Rice-Snow, S.1
  • 43
    • 0026359609 scopus 로고
    • Fractal relation of mainstream length to catchment area in river networks
    • doi:10.1029/90WR02404
    • Rosso, R., B. Bacchi, and P. LaBarbera (1991), Fractal relation of mainstream length to catchment area in river networks, Water Resour. Res., 27(3), 381-387, doi:10.1029/90WR02404.
    • (1991) Water Resour. Res. , vol.27 , Issue.3 , pp. 381-387
    • Rosso, R.1    Bacchi, B.2    Labarbera, P.3
  • 45
    • 0035283095 scopus 로고    scopus 로고
    • Fractal characteristics of dense stream networks
    • DOI 10.1016/S0022-1694(00)00395-4, PII S0022169400003954
    • Schuller, D. J., A. R. Rao, and G. D. Jeong (2001), Fractal characteristics of dense stream networks, J. Hydrol., 243, 1-16, doi:10.1016/S0022-1694(00)00395-4. (Pubitemid 32176619)
    • (2001) Journal of Hydrology , vol.243 , Issue.1-2 , pp. 1-16
    • Schuller, D.J.1    Rao, A.R.2    Jeong, G.D.3
  • 46
    • 0005602624 scopus 로고
    • Evolution of drainage systems and slopes in badlands at Perth Amboy, New Jersey
    • doi:10.1130/0016-7606(1956)67[597:EODSAS]2.0.CO;2
    • Schumm, S. A. (1956), Evolution of drainage systems and slopes in badlands at Perth Amboy, New Jersey, Geol. Soc. Am. Bull., 67, 597-646, doi:10.1130/0016-7606(1956)67[597:EODSAS]2.0.CO;2.
    • (1956) Geol. Soc. Am. Bull. , vol.67 , pp. 597-646
    • Schumm, S.A.1
  • 47
    • 0000768096 scopus 로고
    • Stream lengths and basin areas in topologically random channel networks
    • doi:10.1086/628366
    • Shreve, R. L. (1969), Stream lengths and basin areas in topologically random channel networks, J. Geol., 77, 397-414, doi:10.1086/628366.
    • (1969) J. Geol. , vol.77 , pp. 397-414
    • Shreve, R.L.1
  • 48
    • 27844432390 scopus 로고
    • Hypsometric (area altitude) analysis of erosional topography
    • doi:10.1130/0016-7606(1952)63[1117:HAAOET]2.0.CO;2
    • Strahler, A. N. (1952), Hypsometric (area altitude) analysis of erosional topography, Geol. Soc. Am. Bull., 63, 1117-1142, doi:10.1130/0016-7606(1952) 63[1117:HAAOET]2.0.CO;2.
    • (1952) Geol. Soc. Am. Bull. , vol.63 , pp. 1117-1142
    • Strahler, A.N.1
  • 49
    • 84975030700 scopus 로고
    • Quantitative analysis of watershed geomorphology
    • Strahler, A. N. (1957), Quantitative analysis of watershed geomorphology, Eos Trans. AGU, 38, 912.
    • (1957) Eos Trans. AGU , vol.38 , pp. 912
    • Strahler, A.N.1
  • 50
    • 0030300853 scopus 로고    scopus 로고
    • Fractal river networks, Horton's laws and Tokunaga cyclicity
    • DOI 10.1016/S0022-1694(96)03089-2, PII S0022169496030892
    • Tarboton, D. G. (1996), Fractal river networks, Horton's laws and Tokunaga cyclicity, J. Hydrol., 187, 105-117, doi:10.1016/S0022-1694(96)03089-2. (Pubitemid 27027835)
    • (1996) Journal of Hydrology , vol.187 , Issue.1-2 , pp. 105-117
    • Tarboton, D.G.1
  • 51
    • 0024164717 scopus 로고
    • The fractal nature of river networks
    • Tarboton, D. G., R. L. Bras, and I. Rodriguez-Iturbe (1988), The fractal nature of river networks, Water Resour. Res., 24(8), 1317-1322, doi:10.1029/WR024i008p01317. (Pubitemid 19298421)
    • (1988) Water Resources Research , vol.24 , Issue.8 , pp. 1317-1322
    • Tarboton, D.G.1    Bras, R.L.2    Rodriguez-Iturbe, I.3
  • 52
    • 18344362934 scopus 로고
    • Comment on the fractal dimension of stream networks
    • Tarboton, D. G., R. L. Bras, and I. Rodriguez-Iturbe (1990), Comment on the fractal dimension of stream networks, Water Resour. Res., 26(9), 2243-2244.
    • (1990) Water Resour. Res. , vol.26 , Issue.9 , pp. 2243-2244
    • Tarboton, D.G.1    Bras, R.L.2    Rodriguez-Iturbe, I.3
  • 53
    • 0025925676 scopus 로고
    • On the extraction of channel networks from digital elevation data
    • doi:10.1002/hyp.3360050107
    • Tarboton, D. G., R. L. Bras, and I. Rodriguez-Iturbe (1991), On the extraction of channel networks from digital elevation data, Hydrol. Processes, 5, 81-100, doi:10.1002/hyp.3360050107.
    • (1991) Hydrol. Processes , vol.5 , pp. 81-100
    • Tarboton, D.G.1    Bras, R.L.2    Rodriguez-Iturbe, I.3
  • 55
    • 0001070769 scopus 로고
    • Random fractals: Characterization and measurement
    • NATO ASI Ser., Ser. B, edited by R. Pynn and A. Skjeltorp, Plenum, New York
    • Voss, R. F. (1985), Random fractals: Characterization and measurement, in Scaling Phenomena in Disordered Systems, NATO ASI Ser., Ser. B, vol. 133, edited by R. Pynn and A. Skjeltorp, pp. 1- 11, Plenum, New York.
    • (1985) Scaling Phenomena in Disordered Systems , vol.133 , pp. 1-11
    • Voss, R.F.1


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