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2016 Vol.49, Issue 6 Preview Page
Analysis of drainage structure for river basin on the basis of power law distribution

멱함수 법칙분포를 기반으로 한 유역의 배수구조에 대한 해석

Joo-Cheol Kima
,
Heeseung Kanga*
,
Kwansue Jungb
김 주철a
,
강 희승a*
,
정 관수b
aInternational Water Resources Research Institute, Chungnam National University
bDept. of Civil Engineering, Chungnam National University
a충남대학교 국제수자원연구소
b충남대학교 토목공학과
*교신저자. *Corresponding Author. 
30 June 2016. pp. 495-507
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Abstract

This study aims at hydrologically demonstrating the universality of power law distribution by analyzing runoff aggregation structures of river basins. Power law distribution is fitted to cumulative drainage area of basins of interest by maximum likelihood, which results in the power law exponents. And then those exponents are assessed in terms of the shape of catchment plan-form. As a main result all of the basins in this study have similar distributions of catchment area. The exponents from this study tend to be higher than the ones from previous researches reflecting self-similar property of the catchment plan-forms of interest. Further study is required about the universality of power law distribution by means of the more realistic flow routing scheme within the framework of DEM.

Keywords
River Basin
Aggregation Structure
Power Law Distribution
Maximum Likelihood

본 연구의 주목적은 유역의 유출응집구조를 분석하고 이를 기반으로 멱함수 법칙분포의 대표적 특성인 보편성을 수문학적 관점에서 입증해 보고자 하는 것이다. 이를 위하여 최우법에 따라 집수면적의 누가분포에 대한 멱함수 법칙분포의 적합을 수행하였으며 이로부터 도출된 멱함수 법칙분포의 지수를 집수평면의 형상을 기반으로 평가하여 보았다. 주요한 결과로서 본 연구의 대상 유역들은 집수평면의 규모에 대하여 거의 모두 동일한 형태의 분포를 취하고 있음을 확인할 수 있었다. 본 연구에서 얻은 멱함수 법칙분포의 지수는 선행연구에서 제시된 값에 비하여 다소 큰 수치로 나타났는데 이는 본 연구의 대상유역들이 가진 자기상사성의 특징을 반영하는 것으로 판단된다. 향후 DEM을 기반으로 보다 더 실제에 가까운 흐름방향모의를 통한 집수평면의 멱함수 법칙분포의 보편성에 대한 연구가 반드시 수행되어야 할 것이다.

키워드
유역
응집구조
멱함수 법칙분포
최우도법
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Information
  • Publisher :KOREA WATER RESOURECES ASSOCIATION
  • Publisher(Ko) :한국수자원학회
  • Journal Title :Journal of Korea Water Resources Association
  • Journal Title(Ko) :한국수자원학회 논문집
  • Volume : 49
  • No :6
  • Pages :495-507
  • Received Date : 2016-01-22
  • Revised Date : 2016-03-10
  • Accepted Date : 2016-03-23
  • DOI :https://doi.org/10.3741/JKWRA.2016.49.6.495
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