메뉴 건너뛰기




Volumn 91, Issue 1-2, 1998, Pages 1-15

Models of fractal river basins

Author keywords

Aggregation patterns; Dynamical critical phenomena; Erosion and sedimentation; Growth process; Rivers; Runoff and stream flow

Indexed keywords


EID: 0032049561     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023069201470     Document Type: Article
Times cited : (50)

References (42)
  • 1
    • 0024164717 scopus 로고
    • D. G. Tarboton, R. L. Bras, and I. Rodriguez-Iturbe, Water Resour. Res. 24:1317 (1988); D. Lavallée, S. Lovejoy and D. Schertzer, Fractals in Geography, N. S. Lam and L. De Cola, eds. (Prentice Hall, Englewood Cliffs, 1993), 159; I. Rodriguez-Iturbe, M. Marani, R. Rigon, A. Rinaldo, Water Resour. Res. 30:3531 (1994); D. R. Montgomery and W. E. Dietrich, Nature 336:232 (1988); Science 255:826 (1992); S. P. Breyer and R. S. Snow, Geomorphology 5:143 (1992).
    • (1988) Water Resour. Res. , vol.24 , pp. 1317
    • Tarboton, D.G.1    Bras, R.L.2    Rodriguez-Iturbe, I.3
  • 2
    • 0024164717 scopus 로고
    • N. S. Lam and L. De Cola, eds. Prentice Hall, Englewood Cliffs
    • D. G. Tarboton, R. L. Bras, and I. Rodriguez-Iturbe, Water Resour. Res. 24:1317 (1988); D. Lavallée, S. Lovejoy and D. Schertzer, Fractals in Geography, N. S. Lam and L. De Cola, eds. (Prentice Hall, Englewood Cliffs, 1993), 159; I. Rodriguez-Iturbe, M. Marani, R. Rigon, A. Rinaldo, Water Resour. Res. 30:3531 (1994); D. R. Montgomery and W. E. Dietrich, Nature 336:232 (1988); Science 255:826 (1992); S. P. Breyer and R. S. Snow, Geomorphology 5:143 (1992).
    • (1993) Fractals in Geography , pp. 159
    • Lavallée, D.1    Lovejoy, S.2    Schertzer, D.3
  • 3
    • 0028666446 scopus 로고
    • D. G. Tarboton, R. L. Bras, and I. Rodriguez-Iturbe, Water Resour. Res. 24:1317 (1988); D. Lavallée, S. Lovejoy and D. Schertzer, Fractals in Geography, N. S. Lam and L. De Cola, eds. (Prentice Hall, Englewood Cliffs, 1993), 159; I. Rodriguez-Iturbe, M. Marani, R. Rigon, A. Rinaldo, Water Resour. Res. 30:3531 (1994); D. R. Montgomery and W. E. Dietrich, Nature 336:232 (1988); Science 255:826 (1992); S. P. Breyer and R. S. Snow, Geomorphology 5:143 (1992).
    • (1994) Water Resour. Res. , vol.30 , pp. 3531
    • Rodriguez-Iturbe, I.1    Marani, M.2    Rigon, R.3    Rinaldo, A.4
  • 4
    • 0024228670 scopus 로고
    • D. G. Tarboton, R. L. Bras, and I. Rodriguez-Iturbe, Water Resour. Res. 24:1317 (1988); D. Lavallée, S. Lovejoy and D. Schertzer, Fractals in Geography, N. S. Lam and L. De Cola, eds. (Prentice Hall, Englewood Cliffs, 1993), 159; I. Rodriguez-Iturbe, M. Marani, R. Rigon, A. Rinaldo, Water Resour. Res. 30:3531 (1994); D. R. Montgomery and W. E. Dietrich, Nature 336:232 (1988); Science 255:826 (1992); S. P. Breyer and R. S. Snow, Geomorphology 5:143 (1992).
    • (1988) Nature , vol.336 , pp. 232
    • Montgomery, D.R.1    Dietrich, W.E.2
  • 5
    • 0026460477 scopus 로고
    • D. G. Tarboton, R. L. Bras, and I. Rodriguez-Iturbe, Water Resour. Res. 24:1317 (1988); D. Lavallée, S. Lovejoy and D. Schertzer, Fractals in Geography, N. S. Lam and L. De Cola, eds. (Prentice Hall, Englewood Cliffs, 1993), 159; I. Rodriguez-Iturbe, M. Marani, R. Rigon, A. Rinaldo, Water Resour. Res. 30:3531 (1994); D. R. Montgomery and W. E. Dietrich, Nature 336:232 (1988); Science 255:826 (1992); S. P. Breyer and R. S. Snow, Geomorphology 5:143 (1992).
    • (1992) Science , vol.255 , pp. 826
  • 6
    • 0027092082 scopus 로고
    • D. G. Tarboton, R. L. Bras, and I. Rodriguez-Iturbe, Water Resour. Res. 24:1317 (1988); D. Lavallée, S. Lovejoy and D. Schertzer, Fractals in Geography, N. S. Lam and L. De Cola, eds. (Prentice Hall, Englewood Cliffs, 1993), 159; I. Rodriguez-Iturbe, M. Marani, R. Rigon, A. Rinaldo, Water Resour. Res. 30:3531 (1994); D. R. Montgomery and W. E. Dietrich, Nature 336:232 (1988); Science 255:826 (1992); S. P. Breyer and R. S. Snow, Geomorphology 5:143 (1992).
    • (1992) Geomorphology , vol.5 , pp. 143
    • Breyer, S.P.1    Snow, R.S.2
  • 7
    • 0026270682 scopus 로고
    • C. P. Stark, Nature 352:423 (1991).
    • (1991) Nature , vol.352 , pp. 423
    • Stark, C.P.1
  • 9
    • 0026469510 scopus 로고
    • I. Rodriguez-Iturbe, A. Rinaldo, R. Rigon, R. L. Bras, E. Ijjasz-Vasquez, A. Marani, Water Resour. Res. 28:1095 (1992); R. Rigon. A. Rinaldo, I. Rodriguez-Iturbe, E. Ijjasz-Vasquez, R. L. Bras. Water Resour. Res. 29:1980 (1993); A. Rinaldo, I. Rodriguez-Iturbe, R. Rigon, E. Ijjasz-Vasquez and R. L. Bras. Phys. Rev. Lett. 70:822 (1993); for earlier studies linking optimization principles to drainage networks, see A. D. Howard, Water Res. Res. 7:863 (1971); 26:2107 (1990) and references therein.
    • (1992) Water Resour. Res. , vol.28 , pp. 1095
    • Rodriguez-Iturbe, I.1    Rinaldo, A.2    Rigon, R.3    Bras, R.L.4    Ijjasz-Vasquez, E.5    Marani, A.6
  • 10
    • 0026469510 scopus 로고
    • I. Rodriguez-Iturbe, A. Rinaldo, R. Rigon, R. L. Bras, E. Ijjasz-Vasquez, A. Marani, Water Resour. Res. 28:1095 (1992); R. Rigon. A. Rinaldo, I. Rodriguez-Iturbe, E. Ijjasz-Vasquez, R. L. Bras. Water Resour. Res. 29:1980 (1993); A. Rinaldo, I. Rodriguez-Iturbe, R. Rigon, E. Ijjasz-Vasquez and R. L. Bras. Phys. Rev. Lett. 70:822 (1993); for earlier studies linking optimization principles to drainage networks, see A. D. Howard, Water Res. Res. 7:863 (1971); 26:2107 (1990) and references therein.
    • (1993) Water Resour. Res. , vol.29 , pp. 1980
    • Rigon, R.1    Rinaldo, A.2    Rodriguez-Iturbe, I.3    Ijjasz-Vasquez, E.4    Bras, R.L.5
  • 11
    • 0000481507 scopus 로고
    • I. Rodriguez-Iturbe, A. Rinaldo, R. Rigon, R. L. Bras, E. Ijjasz-Vasquez, A. Marani, Water Resour. Res. 28:1095 (1992); R. Rigon. A. Rinaldo, I. Rodriguez-Iturbe, E. Ijjasz-Vasquez, R. L. Bras. Water Resour. Res. 29:1980 (1993); A. Rinaldo, I. Rodriguez-Iturbe, R. Rigon, E. Ijjasz-Vasquez and R. L. Bras. Phys. Rev. Lett. 70:822 (1993); for earlier studies linking optimization principles to drainage networks, see A. D. Howard, Water Res. Res. 7:863 (1971); 26:2107 (1990) and references therein.
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 822
    • Rinaldo, A.1    Rodriguez-Iturbe, I.2    Rigon, R.3    Ijjasz-Vasquez, E.4    Bras, R.L.5
  • 12
    • 9344224363 scopus 로고
    • I. Rodriguez-Iturbe, A. Rinaldo, R. Rigon, R. L. Bras, E. Ijjasz-Vasquez, A. Marani, Water Resour. Res. 28:1095 (1992); R. Rigon. A. Rinaldo, I. Rodriguez-Iturbe, E. Ijjasz-Vasquez, R. L. Bras. Water Resour. Res. 29:1980 (1993); A. Rinaldo, I. Rodriguez-Iturbe, R. Rigon, E. Ijjasz-Vasquez and R. L. Bras. Phys. Rev. Lett. 70:822 (1993); for earlier studies linking optimization principles to drainage networks, see A. D. Howard, Water Res. Res. 7:863 (1971); 26:2107 (1990) and references therein.
    • (1971) Water Res. Res. , vol.7 , pp. 863
    • Howard, A.D.1
  • 13
    • 0025572052 scopus 로고
    • and references therein
    • I. Rodriguez-Iturbe, A. Rinaldo, R. Rigon, R. L. Bras, E. Ijjasz-Vasquez, A. Marani, Water Resour. Res. 28:1095 (1992); R. Rigon. A. Rinaldo, I. Rodriguez-Iturbe, E. Ijjasz-Vasquez, R. L. Bras. Water Resour. Res. 29:1980 (1993); A. Rinaldo, I. Rodriguez-Iturbe, R. Rigon, E. Ijjasz-Vasquez and R. L. Bras. Phys. Rev. Lett. 70:822 (1993); for earlier studies linking optimization principles to drainage networks, see A. D. Howard, Water Res. Res. 7:863 (1971); 26:2107 (1990) and references therein.
    • (1990) Water Res. Res. , vol.26 , pp. 2107
  • 16
    • 0002112394 scopus 로고
    • Lattice models of river basin evolution are discussed, eg., by S. Kramer and M. Marder, Phys. Rev. Lett. 68:205 (1992); R. L. Leheny and S. R. Nagel, Phys. Rev. Lett. 71:1470 (1993).
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 205
    • Kramer, S.1    Marder, M.2
  • 17
    • 0000687019 scopus 로고
    • Lattice models of river basin evolution are discussed, eg., by S. Kramer and M. Marder, Phys. Rev. Lett. 68:205 (1992); R. L. Leheny and S. R. Nagel, Phys. Rev. Lett. 71:1470 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1470
    • Leheny, R.L.1    Nagel, S.R.2
  • 18
    • 0000472295 scopus 로고
    • T. Sun, P. Meakin and T. Jøssang, Phys. Rev. E 49:4865 (1994); 51:5353 (1995); Water Res. Res. 30:2599 (1994); P. Meakin, J. Feder and T. Jøssang. Physica A 176:409 (1991).
    • (1994) Phys. Rev. E , vol.49 , pp. 4865
    • Sun, T.1    Meakin, P.2    Jøssang, T.3
  • 19
    • 9344236391 scopus 로고
    • T. Sun, P. Meakin and T. Jøssang, Phys. Rev. E 49:4865 (1994); 51:5353 (1995); Water Res. Res. 30:2599 (1994); P. Meakin, J. Feder and T. Jøssang. Physica A 176:409 (1991).
    • (1995) Phys. Rev. E , vol.51 , pp. 5353
  • 20
    • 0028584584 scopus 로고
    • T. Sun, P. Meakin and T. Jøssang, Phys. Rev. E 49:4865 (1994); 51:5353 (1995); Water Res. Res. 30:2599 (1994); P. Meakin, J. Feder and T. Jøssang. Physica A 176:409 (1991).
    • (1994) Water Res. Res. , vol.30 , pp. 2599
  • 21
    • 0001629704 scopus 로고
    • T. Sun, P. Meakin and T. Jøssang, Phys. Rev. E 49:4865 (1994); 51:5353 (1995); Water Res. Res. 30:2599 (1994); P. Meakin, J. Feder and T. Jøssang. Physica A 176:409 (1991).
    • (1991) Physica A , vol.176 , pp. 409
    • Meakin, P.1    Feder, J.2    Jøssang, T.3
  • 31
    • 85086292416 scopus 로고    scopus 로고
    • note
    • i and γ̄ = 0.
  • 34
    • 0003586464 scopus 로고
    • Plenum, New York
    • J. Feder, Fractals (Plenum, New York, 1988).
    • (1988) Fractals
    • Feder, J.1
  • 35
    • 0040635426 scopus 로고    scopus 로고
    • note
    • We are grateful to Deepak Dhar for correspondence on this point.
  • 36
    • 0039499690 scopus 로고
    • P. Meakin, Phys. Scr. 45:69 (1992); P. Meakin, J. Phys. A 20:L1113 (1987).
    • (1992) Phys. Scr. , vol.45 , pp. 69
    • Meakin, P.1
  • 37
    • 0000453870 scopus 로고
    • P. Meakin, Phys. Scr. 45:69 (1992); P. Meakin, J. Phys. A 20:L1113 (1987).
    • (1987) J. Phys. A , vol.20
    • Meakin, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.