Analysis of Runoff Aggregation Structures with Different Flow Direction Methods under the Framework of Power Law Distribution

Kahhoong Kok, Lariyah Mohd Sidek, Kwansue Jung, Joo Cheol Kim

Research output: Contribution to journalArticle

Abstract

The main purpose of this study is to evaluate the performances of different flow direction methods (FDM) in affecting the runoff aggregation structures within a watershed under the framework of power law distribution. To this end, SFD (single flow direction method), MFD (multiple flow direction method) and IFD (Infinite flow direction method) were applied for determination of flow direction for water particles in Susu river basin, and consequently assessed with respect to the variation of flow accumulation. The results indicate that different patterns of flow accumulation were observed from each flow direction method. Effect of flow dispersion on DEM is strongest with ascending order of SFD, IFD, MFD. However, contribution of individual pixels into outlet follows descending order of SFD, IFD, MFD. Notably MFD and IFD tend to make additional hydrologic abstraction from rainfall excess due to the flow dispersion within the flow paths generated on DEM. This study also investigated the size distribution of flow accumulation which is equivalent to the drainage area generated from the selected FDM. They were fitted to the power law distribution and flow accumulation was recognized as a scale invariance factor based on the parameter estimation for power law distribution by maximum likelihood. It was also noticed that FDM affects the parameter estimation of power distribution where highest exponent was estimated for MFD following by IFD and SFD.

Original languageEnglish
Pages (from-to)4607-4623
Number of pages17
JournalWater Resources Management
Volume32
Issue number14
DOIs
Publication statusPublished - 01 Nov 2018

Fingerprint

power law distribution
Runoff
Parameter estimation
Agglomeration
runoff
Invariance
Watersheds
Catchments
Maximum likelihood
Drainage
Rain
Rivers
Pixels
Water
method
analysis
digital elevation model

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Water Science and Technology

Cite this

@article{e330d4cfc8194a6790f48e87e224687b,
title = "Analysis of Runoff Aggregation Structures with Different Flow Direction Methods under the Framework of Power Law Distribution",
abstract = "The main purpose of this study is to evaluate the performances of different flow direction methods (FDM) in affecting the runoff aggregation structures within a watershed under the framework of power law distribution. To this end, SFD (single flow direction method), MFD (multiple flow direction method) and IFD (Infinite flow direction method) were applied for determination of flow direction for water particles in Susu river basin, and consequently assessed with respect to the variation of flow accumulation. The results indicate that different patterns of flow accumulation were observed from each flow direction method. Effect of flow dispersion on DEM is strongest with ascending order of SFD, IFD, MFD. However, contribution of individual pixels into outlet follows descending order of SFD, IFD, MFD. Notably MFD and IFD tend to make additional hydrologic abstraction from rainfall excess due to the flow dispersion within the flow paths generated on DEM. This study also investigated the size distribution of flow accumulation which is equivalent to the drainage area generated from the selected FDM. They were fitted to the power law distribution and flow accumulation was recognized as a scale invariance factor based on the parameter estimation for power law distribution by maximum likelihood. It was also noticed that FDM affects the parameter estimation of power distribution where highest exponent was estimated for MFD following by IFD and SFD.",
author = "Kahhoong Kok and {Mohd Sidek}, Lariyah and Kwansue Jung and Kim, {Joo Cheol}",
year = "2018",
month = "11",
day = "1",
doi = "10.1007/s11269-018-2074-6",
language = "English",
volume = "32",
pages = "4607--4623",
journal = "Water Resources Management",
issn = "0920-4741",
publisher = "Springer Netherlands",
number = "14",

}

Analysis of Runoff Aggregation Structures with Different Flow Direction Methods under the Framework of Power Law Distribution. / Kok, Kahhoong; Mohd Sidek, Lariyah; Jung, Kwansue; Kim, Joo Cheol.

In: Water Resources Management, Vol. 32, No. 14, 01.11.2018, p. 4607-4623.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Analysis of Runoff Aggregation Structures with Different Flow Direction Methods under the Framework of Power Law Distribution

AU - Kok, Kahhoong

AU - Mohd Sidek, Lariyah

AU - Jung, Kwansue

AU - Kim, Joo Cheol

PY - 2018/11/1

Y1 - 2018/11/1

N2 - The main purpose of this study is to evaluate the performances of different flow direction methods (FDM) in affecting the runoff aggregation structures within a watershed under the framework of power law distribution. To this end, SFD (single flow direction method), MFD (multiple flow direction method) and IFD (Infinite flow direction method) were applied for determination of flow direction for water particles in Susu river basin, and consequently assessed with respect to the variation of flow accumulation. The results indicate that different patterns of flow accumulation were observed from each flow direction method. Effect of flow dispersion on DEM is strongest with ascending order of SFD, IFD, MFD. However, contribution of individual pixels into outlet follows descending order of SFD, IFD, MFD. Notably MFD and IFD tend to make additional hydrologic abstraction from rainfall excess due to the flow dispersion within the flow paths generated on DEM. This study also investigated the size distribution of flow accumulation which is equivalent to the drainage area generated from the selected FDM. They were fitted to the power law distribution and flow accumulation was recognized as a scale invariance factor based on the parameter estimation for power law distribution by maximum likelihood. It was also noticed that FDM affects the parameter estimation of power distribution where highest exponent was estimated for MFD following by IFD and SFD.

AB - The main purpose of this study is to evaluate the performances of different flow direction methods (FDM) in affecting the runoff aggregation structures within a watershed under the framework of power law distribution. To this end, SFD (single flow direction method), MFD (multiple flow direction method) and IFD (Infinite flow direction method) were applied for determination of flow direction for water particles in Susu river basin, and consequently assessed with respect to the variation of flow accumulation. The results indicate that different patterns of flow accumulation were observed from each flow direction method. Effect of flow dispersion on DEM is strongest with ascending order of SFD, IFD, MFD. However, contribution of individual pixels into outlet follows descending order of SFD, IFD, MFD. Notably MFD and IFD tend to make additional hydrologic abstraction from rainfall excess due to the flow dispersion within the flow paths generated on DEM. This study also investigated the size distribution of flow accumulation which is equivalent to the drainage area generated from the selected FDM. They were fitted to the power law distribution and flow accumulation was recognized as a scale invariance factor based on the parameter estimation for power law distribution by maximum likelihood. It was also noticed that FDM affects the parameter estimation of power distribution where highest exponent was estimated for MFD following by IFD and SFD.

UR - http://www.scopus.com/inward/record.url?scp=85051847342&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85051847342&partnerID=8YFLogxK

U2 - 10.1007/s11269-018-2074-6

DO - 10.1007/s11269-018-2074-6

M3 - Article

VL - 32

SP - 4607

EP - 4623

JO - Water Resources Management

JF - Water Resources Management

SN - 0920-4741

IS - 14

ER -