In Bathymetric Surfaces: Idw or Kriging?

Ferreira, Ítalo Oliveira; Rodrigues, Dalto Domingos; Santos, Gérson Rodrigues dos; Rosa, Lidiane Maria Ferraz

doi:10.1590/s1982-21702017000300033

Cited by 18 publications

(17 citation statements)

References 17 publications

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“…The appropriateness of Kriging approach for bathymetry representation and its better performance that other methods such as IDW [60] are confirmed in this study.…”

Section: Comparison Of Methodssupporting

confidence: 79%

Interpolation of Single Beam Echo Sounder Data for 3D Bathymetric Model

Parente¹,

Vallario²

2019

IJACSA

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Transmitting sound waves into water, and measuring time interval between emission and return of a pulse, single beam echo sounder determines the depth of the sea. To obtain a bathymetric model representing sea-floor continuously, interpolation is necessary to process irregular spaced measured points resulting from echo sounder acquisition and calculate the depths in unsampled areas. Several interpolation methods are available in literature and the choice of the most suitable of them cannot be made a priori, but requires to be evaluated each time. This paper aims to compare different interpolation methods to process single beam echo sounder data of the Gulf of Pozzuoli (Italy) for 3D model achievement. The experiments are carried out in GIS (Geographic Information System) environment (Software: ArcGIS 10.3 and its extension Geostatistical Analyst by ESRI). The choice of the most accurate digital depth model is made using automatic cross validation. Radial basis function and kriging prove to be the best interpolation methods for the considered dataset.

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“…The appropriateness of Kriging approach for bathymetry representation and its better performance that other methods such as IDW [60] are confirmed in this study.…”

Section: Comparison Of Methodssupporting

confidence: 79%

Interpolation of Single Beam Echo Sounder Data for 3D Bathymetric Model

Parente¹,

Vallario²

2019

IJACSA

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“…Interpolation is the act of using a discrete set of known data points to estimate for the unsampled area using mathematical and statistical functions within the original data set [12,[23][24][25]. Overall interpolation is grouped into deterministic and geostatistics.…”

Section: Interpolation and Krigingmentioning

confidence: 99%

“…If the interpolator components are selected well, the estimated output will be reliable, but will not fit as precisely as its counterpart obtained using a multibeam echosounder [11]. However, the estimated output can be used to compute the reservoir storage capacity, and the rate of sediment can also be determined via cut and fill for reference purposes [12].…”

Section: Introductionmentioning

confidence: 99%

Bathymetric Survey for Enhancing the Volumetric Capacity of Tagwai Dam in Nigeria via Leapfrogging Approach

Ibrahim

Sternberg

2021

Geomatics

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From a global perspective, dams are constructed to trap water flowing from a higher concentra-tion to a lower concentration into a basin for several purposes to aid humanity. The continuous monitoring of dams is prudent for measuring the rate of sedimentation and siltation, and to en-sure that it functions to its full capacity. The Tagwai dam is used for irrigation and domestic ac-tivities. It was observed that there is a shortage in its storage capacity and supplies due to sedi-mentation, and coupled with this is the fact that the majority of the communities are not con-nected to the tap water system; if not, the problem would have been evidently pronounced. However, to determine the present volume of water and provide possible ways of increasing the reservoir’s storage capacity, the leapfrogging approach was used to improve the basin. The data were collected using a single beam echosounder and Hi-Target V30 differential global positioning system (DGPS). The sounder was used to acquire bathymetric data, while the DGPS was used to delineate the shoreline. The data were interpolated using the ordinary Kriging technique. After that, the leapfrogging method was grouped into four scenarios: Scenario A, B, C, and D. In each stage, the volume was computed using Simpson’s 3/8 integrated model. Scenario A is the present stage of the reservoir. Consequently, the results show that, while scenario B and C presented an appreciable increase in volume at the instant, scenario D illustrated a tremendous improvement in the storage capacity, and it is a win-win situation. The decision on which leapfrogging approach to employ depends on the government’s willingness to enhance the reservoir’s capacity and the resources available, such as human and financial capital to execute the project.

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“…GIS techniques to perform surface interpolation of sounding data are widely used to reconstruct bathymetry surfaces (Diaconu, Bretcan, Peptenatu, Tanislav, & Mailat, 2019; Ferreira, Rodrigues, Santos, & Rosa, 2017; Gong, Mattevada, & O'Bryant, 2014; Kusuma, Murdimanto, Sukresno, & Jatisworo, 2018). Numerous interpolation methods exist to predict surface values where there is a lack of sample data.…”

Section: Introductionmentioning

confidence: 99%

“…Over 40 different types of interpolation methods exist, many of which are integrated into GIS software to create, among others, digital elevation models (Ferrando, De Rosa, Federici, & Sguerso, 2016; Ferreira et al., 2017; Meng, Liu, & Borders, 2013). Only a few of these interpolation methods are widely used (e.g., IDW, kriging, splines, nearest neighbours, local and global polynomials, radial basis functions, topo‐to‐raster), of which IDW and kriging are the most attractive (Curtarelli, Leão, Ogashawara, Lorenzzetti, & Stech, 2015; Ferreira et al., 2017; Kalivas, Kollias, & Apostolidis, 2013). This study considers IDW and kriging, specifically OK, to identify the optimal spatial interpolation method to use for mapping the bathymetry of Saldanha Bay from sounding measurements.…”

Section: Introductionmentioning

confidence: 99%

Optimal interpolation method to predict the bathymetry of Saldanha Bay

Henrico

2021

Transactions in GIS

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Accurate interpolation when compiling bathymetric maps is essential in any water depth study. In the case of Saldanha Bay, continuous dredging operations are constantly altering the ocean floor, which has a detrimental effect on sedimentation and coastal hydrodynamics. If the integrity of the coastline is to be secured, accurate bathymetry predictions would be invaluable in determining the effect of dredging operations on coastal erosion. Inverse distance weighting (IDW) and ordinary kriging (OK) are two well‐known and commonly used interpolation methods to produce surfaces through spatial autocorrelation for numerous applications, inter alia, to estimate bathymetry. This study aims to analyse and compare the efficiency of the IDW and OK interpolation methods to predict the bathymetry of Saldanha Bay. Three comparative interpolation tests, which vary according to the decrease in the quantity of sounding points, are conducted. SPSS statistical software was used to assess the performance of the interpolation methods. Firstly, 2D scatterplots were used to show the correlation between predicted and measured sounding values for each interpolation method. Secondly, analysis of variance was employed to investigate whether the difference between the IDW and OK interpolation methods was statistically significant, and to determine which method was best suited for determining the bathymetry of Saldanha Bay. Findings revealed a strong linear relationship between predicted and measured sounding values for both IDW and OK when 100% of the sounding points are used. Conversely, for medium and small quantities of sounding points, a weak correlation exists. Clear similarities exist in the way that IDW and OK estimate and generate the continuous surface of bathymetry. However, IDW consistently performed better than OK across all interpolation tests. The findings of this study will assist in selecting the most suitable interpolation method for future bathymetry surveys of Saldanha Bay.

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In Bathymetric Surfaces: Idw or Kriging?

Cited by 18 publications

References 17 publications

Interpolation of Single Beam Echo Sounder Data for 3D Bathymetric Model

Interpolation of Single Beam Echo Sounder Data for 3D Bathymetric Model

Bathymetric Survey for Enhancing the Volumetric Capacity of Tagwai Dam in Nigeria via Leapfrogging Approach

Optimal interpolation method to predict the bathymetry of Saldanha Bay

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