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- 徳永 英二
- 東京都立大学・理学部
書誌事項
- タイトル別名
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- ON THE CYCLICITY AND ALLOMETRIC GROWTH OF DRAINAGE NETWORKS
- サイクリック ナ ハイスイモウ ト ソノ ソウタイ セイチョウ ニ ツイテ
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The average number _??_ελ of streams of order A entering a stream of order ic from the sides provides two parameters: ε1=_??_ and K=(_??_)<br> A model of drainage networks is built on the assumption that each parameter is constant in a network. The model is a cyclic system because it not only satisfies the condition that each cycle is entirely similar to the previous and following cycles but also includes structurally Hortoniann networks as a special case (K=O). The law of allometric growth of drainage networks is. formulated by using E1 and K on the assumption that a basin can be devided into infinitesimally small basins and interbasin areas according to the above mentioned cycle. The order m (t) of a subnetwork at time t is expressed by the following equation.<br> _??_<br> where l is the lowest order of streams on topographic maps or aerial photos of a given scale, δ is constant, <br> _??_<br> and Q=_??_<br> The above equation holds exactly for networks of infinitely large value of (m(t)-l) and to a fairly good approximation for networks of comparatively large value of it. Setting ε1=1 and K=2 in the equation leads to the equation which expresses allometric growth of a random graph model (the average or the most probable state of subnetworks in infinite topologically random channel networks). The model corresponds to drainage networks in a stationary state and includes the random graph model as a special case.
収録刊行物
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- 地理学評論
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地理学評論 52 (3), 126-136, 1979
公益社団法人 日本地理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679311332224
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- NII論文ID
- 130003567808
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- NII書誌ID
- AN00148053
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- ISSN
- 21851719
- 00167444
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- NDL書誌ID
- 2045670
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- JaLC
- NDL
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