메뉴 건너뛰기




Volumn 102, Issue 3-4, 2008, Pages 603-614

A consistent framework for Horton regression statistics that leads to a modified Hack's law

Author keywords

ANCOVA; Hack's law; Horton analysis; Scaling; Strahler order

Indexed keywords

COVARIANCE ANALYSIS; DRAINAGE BASIN; ESTIMATION METHOD; REGRESSION ANALYSIS;

EID: 55049108876     PISSN: 0169555X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomorph.2008.06.002     Document Type: Article
Times cited : (9)

References (42)
  • 1
    • 2442628281 scopus 로고    scopus 로고
    • The network dynamics hypothesis: how channel networks structure riverine habitats
    • Benda L., Poff N.L., Miller D., Dunne T., Reeves G., Pess G., and Pollock M. The network dynamics hypothesis: how channel networks structure riverine habitats. Bioscience 54 5 (2004) 413-427
    • (2004) Bioscience , vol.54 , Issue.5 , pp. 413-427
    • Benda, L.1    Poff, N.L.2    Miller, D.3    Dunne, T.4    Reeves, G.5    Pess, G.6    Pollock, M.7
  • 3
    • 0030804079 scopus 로고    scopus 로고
    • Sensitivity of channel network planform laws and the question of topologic randomness
    • Costa-Cabral M.C., and Burges S.J. Sensitivity of channel network planform laws and the question of topologic randomness. Water Resour. Res. 33 9 (1997) 2179-2197
    • (1997) Water Resour. Res. , vol.33 , Issue.9 , pp. 2179-2197
    • Costa-Cabral, M.C.1    Burges, S.J.2
  • 5
    • 0000231046 scopus 로고    scopus 로고
    • Unified view of scaling laws for river networks
    • 10.1103/PhysRevE.59.4865
    • Dodds P.S., and Rothman D.H. Unified view of scaling laws for river networks. Phys. Rev., E 59 (1999) 10.1103/PhysRevE.59.4865
    • (1999) Phys. Rev., E , vol.59
    • Dodds, P.S.1    Rothman, D.H.2
  • 6
    • 18644386664 scopus 로고    scopus 로고
    • Geometry of river networks: I. Scaling, fluctuations, and deviations
    • 10.1103/PhysRevE.63.016115
    • Dodds P.S., and Rothman D.H. Geometry of river networks: I. Scaling, fluctuations, and deviations. Phys. Rev., E 63 (2000) 10.1103/PhysRevE.63.016115
    • (2000) Phys. Rev., E , vol.63
    • Dodds, P.S.1    Rothman, D.H.2
  • 7
    • 18644367909 scopus 로고    scopus 로고
    • Geometry of river networks: II. Distributions of component size and number
    • 10.1103/PhysRevE.63.016116
    • Dodds P.S., and Rothman D.H. Geometry of river networks: II. Distributions of component size and number. Phys. Rev., E 63 (2000) 10.1103/PhysRevE.63.016116
    • (2000) Phys. Rev., E , vol.63
    • Dodds, P.S.1    Rothman, D.H.2
  • 8
  • 9
  • 10
    • 0019228361 scopus 로고
    • A representation of an instantaneous unit hydrograph from geomorphology
    • Gupta V.K., Waymire E., and Wang C.T. A representation of an instantaneous unit hydrograph from geomorphology. Water Resour. Res. 16 5 (1980) 855-862
    • (1980) Water Resour. Res. , vol.16 , Issue.5 , pp. 855-862
    • Gupta, V.K.1    Waymire, E.2    Wang, C.T.3
  • 11
    • 55049113681 scopus 로고    scopus 로고
    • Towards a nonlinear geophysical theory of floods in river networks: an overview of 20 years of progress
    • Tsonis A.A., and Elsner J.B. (Eds), Springer-Verlag, New York
    • Gupta V.K., Troutman B.M., and Dawdy D.R. Towards a nonlinear geophysical theory of floods in river networks: an overview of 20 years of progress. In: Tsonis A.A., and Elsner J.B. (Eds). Nonlinear Dynamics in Geosciences (2007), Springer-Verlag, New York
    • (2007) Nonlinear Dynamics in Geosciences
    • Gupta, V.K.1    Troutman, B.M.2    Dawdy, D.R.3
  • 12
    • 0002701777 scopus 로고
    • Studies of Longitudinal Profiles in Virginia and Maryland
    • Hack J.T. Studies of Longitudinal Profiles in Virginia and Maryland. U.S. Geol. Surv. Prof. Pap. 294-B (1957) 45-97
    • (1957) U.S. Geol. Surv. Prof. Pap. , vol.294 -B , pp. 45-97
    • Hack, J.T.1
  • 13
    • 20344399959 scopus 로고
    • Erosional development of streams and their drainage basins: hydrophysical approach to quantitative morphology
    • Horton R.E. Erosional development of streams and their drainage basins: hydrophysical approach to quantitative morphology. Bull. Geol. Soc. Am. 56 (1945) 275-370
    • (1945) Bull. Geol. Soc. Am. , vol.56 , pp. 275-370
    • Horton, R.E.1
  • 15
    • 0030336504 scopus 로고    scopus 로고
    • Sample quantiles in statistical packages
    • Hyndman R.J., and Fan Y. Sample quantiles in statistical packages. Am. Stat. 50 4 (1996) 361-365
    • (1996) Am. Stat. , vol.50 , Issue.4 , pp. 361-365
    • Hyndman, R.J.1    Fan, Y.2
  • 18
    • 0001087493 scopus 로고
    • Statistical inevitability of Horton's laws and the apparent randomness of stream channel networks
    • Kirchner J.W. Statistical inevitability of Horton's laws and the apparent randomness of stream channel networks. Geology 21 (1993) 591-594
    • (1993) Geology , vol.21 , pp. 591-594
    • Kirchner, J.W.1
  • 19
    • 27744523712 scopus 로고    scopus 로고
    • Mantilla R., and Gupta V.K. A GIS numerical framework to study the process basis of scaling statistics in river networks. Geosci. Remote Sens. Let., IEEE vol. 2(4) (2005) 404-408
    • (2005) Geosci. Remote Sens. Let., IEEE , vol.2 4 , pp. 404-408
    • Mantilla, R.1    Gupta, V.K.2
  • 20
    • 33646121968 scopus 로고    scopus 로고
    • Role of coupled flow dynamics and real network structures on Hortonian scaling of peak flows
    • 10.1016/j.jhydrol.2005.03.022
    • Mantilla R., Gupta V.K., and Mesa O.J. Role of coupled flow dynamics and real network structures on Hortonian scaling of peak flows. J. Hydrol. 322 (2006) 10.1016/j.jhydrol.2005.03.022
    • (2006) J. Hydrol. , vol.322
    • Mantilla, R.1    Gupta, V.K.2    Mesa, O.J.3
  • 21
    • 0023525033 scopus 로고
    • On the main channel length-area relationship for channel networks
    • Mesa O.J., and Gupta V.K. On the main channel length-area relationship for channel networks. Water Resour. Res. 23 11 (1987) 2119-2122
    • (1987) Water Resour. Res. , vol.23 , Issue.11 , pp. 2119-2122
    • Mesa, O.J.1    Gupta, V.K.2
  • 22
    • 0029413030 scopus 로고
    • New results for self-similar trees with applications to river networks
    • Peckham S.D. New results for self-similar trees with applications to river networks. Water Resour. Res. 31 4 (1995) 1023-1029
    • (1995) Water Resour. Res. , vol.31 , Issue.4 , pp. 1023-1029
    • Peckham, S.D.1
  • 23
    • 0032827268 scopus 로고    scopus 로고
    • A reformulation of Horton's law for large river networks in terms of statistical self-similarity
    • Peckham S.D., and Gupta V.K. A reformulation of Horton's law for large river networks in terms of statistical self-similarity. Water Resour. Res. 35 9 (1999) 2763-2777
    • (1999) Water Resour. Res. , vol.35 , Issue.9 , pp. 2763-2777
    • Peckham, S.D.1    Gupta, V.K.2
  • 24
    • 55049083830 scopus 로고    scopus 로고
    • Rigon, R., Ghelsa, E., Tiso, C., Cozzini, A., 2006. The Horton Machine: A System for DEM Analysis, Reference Manual. ISBN 10: 88-8443-147-6, ISBN 13: 978-88-8443-147-9, url: http://www.ing.unitn.it/dica/tools/download/Quaderni/Horton%20manual.pdf.
    • Rigon, R., Ghelsa, E., Tiso, C., Cozzini, A., 2006. The Horton Machine: A System for DEM Analysis, Reference Manual. ISBN 10: 88-8443-147-6, ISBN 13: 978-88-8443-147-9, url: http://www.ing.unitn.it/dica/tools/download/Quaderni/Horton%20manual.pdf.
  • 25
    • 0018677794 scopus 로고
    • The geomorphologic structure of hydrologic response
    • Rodriguez-Iturbe I., and Valdes J.B. The geomorphologic structure of hydrologic response. Water Resour. Res. 15 6 (1979) 1409-1420
    • (1979) Water Resour. Res. , vol.15 , Issue.6 , pp. 1409-1420
    • Rodriguez-Iturbe, I.1    Valdes, J.B.2
  • 27
    • 0021640780 scopus 로고
    • Nash model relation to Horton order ratios
    • Rosso R. Nash model relation to Horton order ratios. Water Resour. Res. 20 7 (1984) 914-920
    • (1984) Water Resour. Res. , vol.20 , Issue.7 , pp. 914-920
    • Rosso, R.1
  • 29
    • 0000289365 scopus 로고
    • Infinite topologically random channel networks
    • Shreve R.L. Infinite topologically random channel networks. J. Geol. 75 (1967) 178-186
    • (1967) J. Geol. , vol.75 , pp. 178-186
    • Shreve, R.L.1
  • 30
    • 0000768096 scopus 로고
    • Stream lengths and basin areas in topologically random channel networks
    • Shreve R.L. Stream lengths and basin areas in topologically random channel networks. J. Geol. 77 (1969) 397-414
    • (1969) J. Geol. , vol.77 , pp. 397-414
    • Shreve, R.L.1
  • 31
    • 27944457043 scopus 로고    scopus 로고
    • River networks of southern Africa: Scaling laws governing their geometry and deviations from scaling
    • 10.1029/2005GC000928
    • Stankiewicz J., and de Wit M.J. River networks of southern Africa: Scaling laws governing their geometry and deviations from scaling. Geochem. Geophys. Geosyst. 6 (2005) Q09015 10.1029/2005GC000928
    • (2005) Geochem. Geophys. Geosyst. , vol.6
    • Stankiewicz, J.1    de Wit, M.J.2
  • 32
    • 84975030700 scopus 로고
    • Quantitative analysis of watershed geomorphology
    • Strahler A.N. Quantitative analysis of watershed geomorphology. Trans. Am. Geophys. Union 38 (1957) 913-920
    • (1957) Trans. Am. Geophys. Union , vol.38 , pp. 913-920
    • Strahler, A.N.1
  • 34
    • 85075842769 scopus 로고
    • Comment on 'Statistical inevitability of Horton's laws and the apparent randomness of stream channel networks', by James W. Kirchner
    • Troutman B.M., and Karlinger M.R. Comment on 'Statistical inevitability of Horton's laws and the apparent randomness of stream channel networks', by James W. Kirchner. Geology 22 (1994) 573-574
    • (1994) Geology , vol.22 , pp. 573-574
    • Troutman, B.M.1    Karlinger, M.R.2
  • 35
    • 0001066073 scopus 로고    scopus 로고
    • Estimation of Renyi exponents in random cascades
    • Troutman B.M., and Vecchia A.V. Estimation of Renyi exponents in random cascades. Bernoulli 5 2 (1999) 191-207
    • (1999) Bernoulli , vol.5 , Issue.2 , pp. 191-207
    • Troutman, B.M.1    Vecchia, A.V.2
  • 36
    • 17044443363 scopus 로고    scopus 로고
    • Regional flood probabilities
    • 10.1029/2001WR001140
    • Troutman B.M., and Karlinger M.R. Regional flood probabilities. Water Resour. Res. 39 4 (2003) 1095 10.1029/2001WR001140
    • (2003) Water Resour. Res. , vol.39 , Issue.4 , pp. 1095
    • Troutman, B.M.1    Karlinger, M.R.2
  • 37
    • 0034088618 scopus 로고    scopus 로고
    • Random self-similar river networks and derivations of generalized Horton laws in terms of statistical simple scaling
    • Veitzer S.A., and Gupta V.K. Random self-similar river networks and derivations of generalized Horton laws in terms of statistical simple scaling. Water Resour. Res. 36 (2000) 1033-1048
    • (2000) Water Resour. Res. , vol.36 , pp. 1033-1048
    • Veitzer, S.A.1    Gupta, V.K.2
  • 38
    • 0035518715 scopus 로고    scopus 로고
    • Statistical self-similarity of width function maxima with implications to floods
    • Veitzer S.A., and Gupta V.K. Statistical self-similarity of width function maxima with implications to floods. Adv. Water Resour. 24 (2001) 955-965
    • (2001) Adv. Water Resour. , vol.24 , pp. 955-965
    • Veitzer, S.A.1    Gupta, V.K.2
  • 39
    • 0037961350 scopus 로고    scopus 로고
    • R Core Development Team. 3-900051-12-7 http://www.r-project.org/
    • Venables W.N., Smith D.M., and R Core Development Team. An Introduction to R (2006). 3-900051-12-7. http://www.r-project.org/ http://www.r-project.org/
    • (2006) An Introduction to R
    • Venables, W.N.1    Smith, D.M.2
  • 40
    • 35648938177 scopus 로고    scopus 로고
    • Impact of different regression frameworks on the estimation of the scaling properties of radar rainfall
    • Villarini G., Lang J.B., Lombardo F., Napolitano F., Russo F., and Krajewski W.F. Impact of different regression frameworks on the estimation of the scaling properties of radar rainfall. Atmos. Res. 86 (2007) 340-349
    • (2007) Atmos. Res. , vol.86 , pp. 340-349
    • Villarini, G.1    Lang, J.B.2    Lombardo, F.3    Napolitano, F.4    Russo, F.5    Krajewski, W.F.6
  • 41
    • 0014254846 scopus 로고
    • Probability plotting methods for the analysis of data
    • Wilk M.B., and Gnanadesikan R. Probability plotting methods for the analysis of data. Biometrika 55 (1968) 1-17
    • (1968) Biometrika , vol.55 , pp. 1-17
    • Wilk, M.B.1    Gnanadesikan, R.2
  • 42
    • 0003129758 scopus 로고    scopus 로고
    • Unit-hydrograph derivation for ungauged watersheds by stream-order laws
    • Yen B.C., and Lee K.T. Unit-hydrograph derivation for ungauged watersheds by stream-order laws. J. Hydrol. Eng. 2 1 (1997) 1-9
    • (1997) J. Hydrol. Eng. , vol.2 , Issue.1 , pp. 1-9
    • Yen, B.C.1    Lee, K.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.