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Proposição de um Método para Estimar Razões Geomorfológicas em Bacias Hidrográficas: Redução de Incertezas por meio da Dispersão dos Parâmetros Morfométricos

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Abstract
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The hydrological modeling of small and medium-sized watersheds often depends on the estimation of geomorphological ratios, which are fundamental for parameterizations of models such as the Geomorphological Instantaneous Unit Hydrograph (HUIG). However, traditional estimation methods are based on aggregate means, disregarding the natural dispersion of morphometric data, which can induce significant uncertainties. This study proposes a new method to estimate geomorphological ratios, incorporating data dispersion to regression adjustment, which provides greater physical and statistical representativeness. Fourteen river basins with different physiographic characteristics were analyzed, comparing three estimation methods: simple arithmetic mean (Method 1), regression on means aggregated by order (Method 2) and regression on dispersed data (Method 3). The results demonstrate that Method 3 reduces the uncertainty in the estimates of RL and RA, maintaining statistical robustness, especially in basins with high morphometric variability. It is concluded that the proposed method is more suitable to represent the complexity of the basins and can significantly improve the performance of hydrological models that use geomorphological ratios as input.

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  • Research Article
  • Cite Count Icon 25
  • 10.1080/15715124.2004.9635238
GIUH based Clark and Nash models for runoff estimation for an ungauged basin and their uncertainty analysis
  • Dec 1, 2004
  • International Journal of River Basin Management
  • Rakesh Kumar + 4 more

Runoff estimation is an important aspect of river basin planning, development and management. Geomorphological instantaneous unit hydrograph (GIUH) approach holds a great potential for estimation of runoff from ungauged basins because of its direct application to ungauged basins, without going for cumbersome procedure of regionalization. In this study, GIUH is derived from the geomorphological characteristics of a basin and it is related to the parameters of the Clark instantaneous unit hydrograph (IUH) model as well as Nash IUH model for deriving its complete shape. The developed GIUH based Clark and Nash models are applied for simulation of the direct surface runoff (DSRO) hydrographs for ten rainfall‐runoff events of the Ajay basin upto Sarath gauging site of eastern India. The geomorphological characteristics of the Ajay basin are evaluated using the GIS package, Integrated Land and Water Information System (ILWIS). A comparison of the performances of the GIUH based Clark and Nash models in simulating the DSRO hydrographs by employing some of the commonly used error functions reveals that the DSRO hydrographs are computed with reasonable accuracy by both the models, which simulate the DSRO hydrographs of the basin considering it to be ungauged. The relative sensitivity and the degree of uncertainty associated with each of the input parameters of the GIUH based Clark and Nash models have been quantified. The uncertainty analysis reveals that apart from the velocity (V) parameter, the length of the highest order stream (LO) is the only geomorphological parameter which results in higher degree of uncertainty in derivation of unit hydrograph using the GIUH based Clark and Nash models, and hence, it is to be evaluated with greater precision for accurate runoff estimation from ungauged basins.

  • Research Article
  • Cite Count Icon 8
  • 10.1016/j.wse.2022.04.002
Evaluating performance dependency of a geomorphologic instantaneous unit hydrograph-based hydrological model on DEM resolution
  • Apr 30, 2022
  • Water Science and Engineering
  • Cheng Yao + 5 more

Evaluating performance dependency of a geomorphologic instantaneous unit hydrograph-based hydrological model on DEM resolution

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  • Research Article
  • Cite Count Icon 11
  • 10.3390/w11040772
Integrating XAJ Model with GIUH Based on Nash Model for Rainfall-Runoff Modelling
  • Apr 13, 2019
  • Water
  • Yingbing Chen + 6 more

The geomorphologic instantaneous unit hydrograph (GIUH) is an applicable approach that simulates the runoff for the ungauged basins. The nash model is an efficient tool to derive the unit hydrograph (UH), which only requires two items, including the indices n and k. Theoretically, the GIUH method describes the process of a droplet flowing from which it falls on to the basin outlet, only covering the flow concentration process. The traditional technique for flood estimation using GIUH method always uses the effective rainfall, which is empirically obtained and scant of accuracy, and then calculates the convolution of the effective rainfall and GIUH. To improve the predictive capability of the GIUH model, the Xin’anjiang (XAJ) model, which is a conceptual model with clear physical meaning, is applied to simulate the runoff yielding and the slope flow concentration, integrating with the GIUH derived based on Nash model to compute the river network flow convergence, forming a modified GIUH model for flood simulation. The average flow velocity is the key to obtain the indices k, and two methods to calculate the flow velocity were compared in this study. 10 flood events in three catchments in Fujian, China are selected to calibrate the model, and six for validation. Four criteria, including the time-to-peak error, the relative peak flow error, the relative runoff depth error, and the Nash–Sutcliff efficiency coefficient are computed for the model performance evaluation. The observed runoff value and simulated series in validation stage is also presented in the scatter plots to analyze the fitting degree. The analysis results show the modified model with a convenient calculation and a high fitting and illustrates that the model is reliable for the flood estimation and has potential for practical flood forecasting.

  • Research Article
  • Cite Count Icon 39
  • 10.1016/j.envsoft.2007.08.008
Development of a geomorphological instantaneous unit hydrograph model for scantily gauged watersheds
  • Mar 25, 2008
  • Environmental Modelling & Software
  • A Bhadra + 5 more

Development of a geomorphological instantaneous unit hydrograph model for scantily gauged watersheds

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  • 10.29074/ascls.20.3.154
Comparison of two platelet count estimation methodologies for peripheral blood smears.
  • Jan 1, 2007
  • American Society for Clinical Laboratory Science
  • Mary Malok + 4 more

To compare two manual methods for estimating platelet counts from Wright's stained peripheral blood smears regarding their correlation with each other and with automated platelet counts. This correlation was examined in relation to whether the platelet count was high, low, or normal and in relation to whether the hemoglobin value was low versus normal or high. Peripheral blood smears were Wright's stained and both platelet count estimation methodologies were performed on each slide. The traditional estimation method was the average number of platelets per oil immersion field (OIF) multiplied by 20,000 to yield a platelet count estimate per uL. The alternate estimation method was the average number of platelets per OIF multiplied by the patient's hemoglobin value in g/dL and then multiplied by 1,000 to yield a platelet count estimation per uL. The platelet count estimates were performed without the technologists having prior knowledge of the automated platelet counts which were produced on a Coulter LH750 analyzer. The agreement between the two manual methodologies with each other and each method with the automated count was assessed using the paired T-test and correlation coefficient analyses. These analyses were performed for the whole dataset as well as for subsets based on the automated platelet count and the hemoglobin value. East Carolina University's Clinical Laboratory Science program in collaboration with the Clinical Pathology/Laboratory at Pitt County Memorial Hospital (PCMH) in Greenville NC. One hundred eighty-four blood samples in EDTA-anticoagulant VacutainerI tubes were used to conduct this study. Each blood sample had two peripheral blood smears made and stained on an automatic slide stainer. The blood samples were obtained from the Clinical Pathology/Laboratory of Pitt County Memorial Hospital in October and November of 2004. Each sample was given a unique numeric identifier with no personal identifying information from any sample being recorded. Platelet counts by two slide estimation methods and by an automated reference method. The traditional platelet count estimation method had a mean for the sample of 269,000/uL, while the alternate estimation method had a mean of 155,000/uL. The mean for the automated platelet counts was 268,000/uL. The traditional estimation method showed no statistically significant difference in mean from the automated platelet counts based on the paired T-test (p = 0.87). The traditional estimation method counts and automated counts had a high Pearson Product Moment correlation coefficient of r = .90 and a minimally dispersed scatterplot, thus showing strong agreement. The alternate platelet count estimation method had a mean for the sample of 155,000/uL which, based on the paired T-test, was highly significantly different from the automated count mean (p < 0.0001) and the traditional estimation method mean (p < 0.0001). The alternate estimation method and automated counts had a lower r value of .81 and greater dispersion in the scatterplot. In comparing the estimation methods with each other and with the automated method, the differences and similarities in agreement observed for the whole dataset were also observed with each platelet count and hemoglobin subset of data. Though the alternate platelet count estimation method has been recommended for use particularly with patients with low hemoglobin values, this study found that the traditional estimation method provided more agreement with automated counts than did the alternate estimation method for all samples as well as for the subset of samples with low hemoglobin values. For the present, the traditional method of estimating platelet counts from blood smears to evaluate automated results appears to provide adequate quality assurance.

  • Research Article
  • Cite Count Icon 83
  • 10.1061/(asce)0733-9496(1997)123:4(228)
Flood Estimation for Ungauged Catchments Using the GIUH
  • Jul 1, 1997
  • Journal of Water Resources Planning and Management
  • Nageshwar Rao Bhaskar + 2 more

Traditional techniques for design flood estimation use historical rainfall-runoff data and unit hydrographs derived from them. Such procedures are questioned for their reliability due to the climatic and physical changes in the watershed and their application to ungauged areas. To overcome such difficulties, the use of physically based rainfall-runoff estimation methods such as the geomorphological instantaneous unit hydrograph (GIUH) have evolved. In this study, the GIUH is derived from watershed geomorphological characteristics and is then related to the parameters of the Nash instantaneous unit hydrograph (IUH) model for deriving its complete shape. The model parameters of the GIUH and the Nash IUH model are derived using two different approaches. In the first approach (referred to as GIUH-I) the rainfall intensity during each time interval is allowed to vary, whereas in the second approach (referred to as GIUH-II) rainfall intensity is averaged over the entire storm period. This methodology has been applied to the Jira river subcatchment in eastern India to simulate floods from 12 storm events. Results from both the GIUH approaches and those obtained by using Nash IUH are comparable with observed events.

  • Research Article
  • Cite Count Icon 94
  • 10.1016/0022-1694(83)90216-0
The linear channel and its effect on the geomorphologic IUH
  • Aug 1, 1983
  • Journal of Hydrology
  • Diana M Kirshen + 1 more

The linear channel and its effect on the geomorphologic IUH

  • Research Article
  • Cite Count Icon 10
  • 10.22146/jcef.38860
Unit Hydrograph Modeling using Geomorphological Instantaneous Unit Hydrograph (GIUH) Method
  • Sep 25, 2018
  • Journal of the Civil Engineering Forum
  • Anantri Sulistyowati + 2 more

Flood forecasting at Wonogiri Reservoir is restricted on the availability of hydrologic data due to limited monitoring gauges. This issue triggers study of unit hydrograph modeling using Geomorphological Instantaneous Unit Hydrograph (GIUH) which is based on Geographic Information System (GIS). Analysis of physical watershed parameters was conducted on Digital Elevation Model (DEM) data using software Watershed Modeling System (WMS) 10.1 and ArcGIS. Nash model and S-curve method were used to process triangular GIUH into hourly Instantaneous Unit Hydrograph (IUH) and Unit Hydrograph (UH) and then was compared with the observed UH of Collins method. A sensitivity analysis was conducted on parameter of RL and Nash-model k. Evaluation of accuracy of the simulated GIUH runoff hydrograph was also conducted. The GIUH model generated UH with smaller peak discharge Qp, also slower and longer of tp and tb values than the observed UH. Accuracy test of the simulated GIUH runoff hydrograph using Nash-Sutcliffe Efficiency (NSE) shows that Keduang watershed gives a satisfying result, while Wiroko watershed gives less satisfactory result. The inaccuracies occur due to limited flood events used to derive the observed UH and stream tributaries that were not properly modeled based on Strahler method.

  • Research Article
  • Cite Count Icon 9
  • 10.1016/j.ejrh.2023.101418
Factors influencing calibration of a semi-distributed mixed runoff hydrological model: A study on nine small mountain catchments in China
  • May 16, 2023
  • Journal of Hydrology: Regional Studies
  • Lei Wen + 7 more

Factors influencing calibration of a semi-distributed mixed runoff hydrological model: A study on nine small mountain catchments in China

  • Research Article
  • Cite Count Icon 53
  • 10.1002/hyp.6728
The influence of elevation error on the morphometrics of channel networks extracted from DEMs and the implications for hydrological modelling
  • Jul 30, 2007
  • Hydrological Processes
  • John B Lindsay + 1 more

Stream network morphometrics have been used frequently in environmental applications and are embedded in several hydrological models. This is because channel network geometry partly controls the runoff response of a basin. Network indices are often measured from channels that are mapped from digital elevation models (DEMs) using automated procedures. Simulations were used in this paper to study the influence of elevation error on the reliability of estimates of several common morphometrics, including stream order, the bifurcation, length, area and slope ratios, stream magnitude, network diameter, the flood magnitude and timing parameters of the geomorphological instantaneous unit hydrograph (GIUH) and the network width function. DEMs of three UK basins, ranging from high to low relief, were used for the analyses. The findings showed that moderate elevation error (RMSE of 1·8 m) can result in significant uncertainty in DEM‐mapped network morphometrics and that this uncertainty can be expressed in complex ways. For example, estimates of the bifurcation, length and area ratios and the flood magnitude and timing parameters of the GIUH each displayed multimodal frequency distributions, i.e. two or more estimated values were highly likely. Furthermore, these preferential estimates were wide ranging relative to the ranges typically observed for these indices. The wide‐ranging estimates of the two GIUH parameters represented significant uncertainty in the shape of the unit hydrograph. Stream magnitude, network diameter and the network width function were found to be highly sensitive to elevation error because of the difficulty in mapping low‐magnitude links. Uncertainties in the width function were found to increase with distance from outlet, implying that hydrological models that use network width contain greater uncertainty in the shape of the falling limb of the hydrograph. In light of these findings, care should be exercised when interpreting the results of analyses based on DEM‐mapped stream networks. Copyright © 2007 John Wiley &amp; Sons, Ltd.

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  • Research Article
  • Cite Count Icon 6
  • 10.12944/cwe.14.2.06
Physiographic Analysis of Tehri Dam Catchment and Development of GIUH Based Nash Model for Ungauged Rivers
  • Jun 24, 2019
  • Current World Environment
  • Niraj Kumar Agrawal + 2 more

Advanced information about incoming flows is required for operation of a variety of hydraulic structures including multipurpose storage hydropower projects. Inflow forecasts are used for optimum power generation during non -monsoon season and operation of gates and spillways during the flood season. In order to develop an inflow forecasting system for a reservoir, it has been observed that many a times number of ungauged rivers directly falling into the reservoirs are not accounted for. Such is the case for the Tehri Reservoir, where 16 small rivers/tributaries which are directly contributing to Tehri reservoir are ungauged. In the present study an attempt has been made to carry out physiographic objective Tehri catchment and to develop Geomorphological Instantaneous Unit Hydrograph (GIUH) for ungauged rivers/tributaries directly falling into the reservoir. GIUH developed for the ungauged rivers can be used to simulate the runoff from all the 16 ungauged rivers. Combining these GIUH models with a hydrological model of the other gauged rivers of the Tehri Catchment in the form of a network model provides a complete rainfall-runoff model. Thus, this study provides a useful input for the development of inflow forecasting model for the Tehri Dam as the network model can be used as flood forecasting model.

  • Preprint Article
  • 10.5194/egusphere-egu24-16321
Channel network critical nodes, E-GIUH and space-time dynamics of flood events
  • Mar 9, 2024
  • Roger Moussa + 1 more

The space-time dynamics of floods are mainly controlled by the spatial distribution of rainfall, the channel network topological structure, the soil hydrodynamic properties and initial water content conditions. In this complex setting, it remains unclear what is the relative contribution of each of these factors. The scope of this work is to report where and how changes in the space-time dynamics of rainfall, land use, morphology of streams, are shaping flood hydrograph. The methodology assesses the impact of the spatial subdivision of the catchment into subcatchments on the output of a hydrological/hydraulic model (MHYDAS) when applied as lumped, semi-distributed or spatially distributed. Based on the graph theory, a new deterministic iterative model to describe the channel network structure is proposed on the basis of a conceptualization of the topology of the channel network, and exploiting the morphometric characteristics of internal nodes. For each flood event, internal nodes are classified by order of importance depending on the drained area and its corresponding rainfall and soil properties. This enables to identify the &amp;#8220;critical nodes&amp;#8221; of the channel network which may vary from one event to another. We test different spatial catchment subdivision schemes using 1, 2, 3, &amp;#8230; n critical nodes of the channel network. Then, for each catchment subdivision we run the spatially distributed hydrological model MHYDAS to simulate hydrographs at the outlet. Applications were conducted on twelve French Mediterranean catchments with an area ranging between 1 and 1000 km&amp;#178;, characterized by high variability of rainfall and soil hydrodynamic characteristics. Simulations were conducted on observed rainfall/runoff events but also on virtual rainfall events (20 events) in order to study a large range of spatiotemporal rainfall variability. Results show that the spatial catchment subdivision on the basis of respectively one, two or three critical nodes are sufficient to simulate the hydrograph at the outlet with respectively a Nash-Sutcliffe criteria of 0.43, 0.59 and 0.78. Then, for each flood event, we calculate the Geomorphological Instantaneous Unit Hydrograph (GIUH) which is central to describe the catchment response. Finally, we compare the GIUH and the E-GIUH (Andrieu et al., 2021) which is specific to each flood event and which is derived from rainfall/runoff data and formulated as an inverse problem with parameters such as the E-GIUH velocity and coefficient of dispersion, as well as the hyetograph of rainfall excess. The results show the agreement between the GIUH obtained from 3 critical nodes and the E-GIUH. &amp;#160;The characteristics of the critical nodes such as the drained area, the distance to the outlet, and the position on the channel network are useful descriptors for modeling the GIUH function and for representing the scaling properties of a channel network. They are sufficient descriptors to reproduce the main shape of the GIUH, the peak, the time to peak, and the main properties such as non-negativity, non-stationarity, and power law decay of the spectrum. They may be used to establish catchment typology, to compare catchments, and to classify flood events for catchment regionalization.

  • Book Chapter
  • Cite Count Icon 6
  • 10.1007/978-94-009-4678-1_10
Incorporation of Channel Losses in the Geomorphologic IUH
  • Jan 1, 1986
  • Mario Diaz-Granados + 2 more

The infiltration losses along the stream channels of a basin are included into the Instantaneous Unit Hydrograph (IUH). The IUH is derived as a function of the basin geomorphological and physiographic characteristics, and the response of the individual channels to upstream and lateral inflows. This response is obtained by solving the linearized continuity and momentum equations, including approximate infiltration losses terms, for the boundary conditions established by the definition of a linear system response to an instantaneous unit input. A methodology is proposed for the estimation of the parameters involved in the channel response. Based on this result, a procedure is suggested to include infiltration losses in the common linear reservoir representation of channel segments. Comparisons indicate that this approximation is adequate under certain conditions.For the first time channel infiltration is explicitly included in an analytical physically based linear model of channel response potentially useful in traditional hydraulic routing problems.KeywordsProbability Density FunctionFroude NumberScale ProblemWater Resource ResearchCumulative Density FunctionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

  • Research Article
  • Cite Count Icon 67
  • 10.1016/s0022-1694(96)80018-7
An analysis of the dynamic component of the geomorphologic instantaneous unit hydrograph
  • Feb 1, 1996
  • Journal of Hydrology
  • Marco Franchini + 1 more

An analysis of the dynamic component of the geomorphologic instantaneous unit hydrograph

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  • Research Article
  • Cite Count Icon 8
  • 10.3390/su151411225
Study of Flood Simulation in Small and Medium-Sized Basins Based on the Liuxihe Model
  • Jul 19, 2023
  • Sustainability
  • Jingyu Li + 3 more

The uneven distribution of meteorological stations in small and medium-sized watersheds in China and the lack of measured hydrological data have led to difficulty in flood simulation and low accuracy in flood forecasting. Traditional hydrological models no longer achieve the forecasting accuracy needed for flood prevention. To improve the simulation accuracy of floods and maximize the use of hydrological information from small and medium-sized watersheds, high-precision hydrological models are needed as a support mechanism. This paper explores the applicability of the Liuxihe model for flood simulation in the Caojiang river basin and we compare flood simulation results of the Liuxihe model with a traditional hydrological model (Xinanjiang model). The results show that the Liuxihe model provides excellent simulation of field floods in Caojiang river basin. The average Nash–Sutcliffe coefficient is 0.73, the average correlation coefficient is 0.9, the average flood peak present error is 0.33, and the average peak simulation accuracy is 93.9%. Compared with the traditional flood hydrological model, the Liuxihe model simulates floods better with less measured hydrological information. In addition, we found that the particle swarm optimization (PSO) algorithm can improve the simulation of the model, and its practical application only needs one representative flood for parameter optimization, which is suitable for areas with little hydrological information. The study can support flood forecasting in the Caojiang river basin and provide a reference for the preparation of flood forecasting schemes in other small and medium-sized watersheds.

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