Geostatistical modeling of topography using auxiliary maps

Hengl, Tomislav; Bajat, Branislav; Blagojević, Dragan; Reuter, H. I.

doi:10.1016/j.cageo.2008.01.005

Cited by 45 publications

(25 citation statements)

References 19 publications

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“…Semi-variogram analysis has also been applied successfully to topographic data in a number of ways. For example, to select an appropriate pixel size for DEMs interpolated from contour data [23], to compute the fractal dimension of a DEM [24], for interpolation using Kriging methods [25] and for investigating micro-scale surface structures [26]. In this paper, semi-variograms are used to explore the topographic structures represented by DEMs at different scales and to help characterize landscapes in terms of the topographic structures found in the data.…”

Section: Introductionmentioning

confidence: 99%

Modeling Change of Topographic Spatial Structures with DEM Resolution Using Semi-Variogram Analysis and Filter Bank

Wang

Yang

Jupp

et al. 2016

IJGI

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Abstract:In this paper, the way topographic spatial information changes with resolution was investigated using semi-variograms and an Independent Structures Model (ISM) to identify the mechanisms involved in changes of topographic parameters as resolution becomes coarser or finer. A typical Loess Hilly area in the Loess Plateau of China was taken as the study area. DEMs with resolutions of 2.5 m and 25 m were derived from topographic maps with map scales of 1:10,000 using ANUDEM software. The ISM, in which the semi-variogram was modeled as the sum of component semi-variograms, was used to model the measured semi-variogram of the elevation surface. Components were modeled using an analytic ISM model and corresponding landscape components identified using Kriging and filter bank analyses. The change in the spatial components as resolution became coarser was investigated by modeling upscaling as a low pass linear filter and applying a general result to obtain an analytic model for the scaling process in terms of semi-variance. This investigation demonstrated how topographic structures could be effectively characterised over varying scales using the ISM model for the semi-variogram. The loss of information in the short range components with resolution is a major driver for the observed change in derived topographic parameters such as slope. This paper has helped to quantify how information is distributed among scale components and how it is lost in natural terrain surfaces as resolution becomes coarser. It is a basis for further applications in the field of geomorphometry.

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Section: Introductionmentioning

confidence: 99%

Modeling Change of Topographic Spatial Structures with DEM Resolution Using Semi-Variogram Analysis and Filter Bank

Wang

Yang

Jupp

et al. 2016

IJGI

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“…Tipicamente, um MNT é um mapa raster (uma imagem ou um conjunto de elevação) que, como muitos outros aspectos espaciais, pode ser eficientemente modelado usando-se geoestatística (Hengl et al, 2008).…”

Section: Introductionunclassified

Modelo numérico do terreno obtido por diferentes métodos em cartas planialtimétricas

Barbosa

Silva

Zimback

2012

Rev. bras. eng. agríc. ambient.

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R ESU M OO modelo numérico do terreno é importante para a determinação da declividade e da capacidade de uso das terras, motivo pelo qual foi desenvolvida uma proposta de metodologia de aquisição de dados de elevação que contemple um algoritmo eficiente para a geração de uma carta de declividades; para isto, buscou-se a obtenção e a avaliação de um modelo numérico do terreno sem a prática da vetorização das curvas de nível em cartas planialtimétricas. A área de obtenção dos dados de altitude (m) foi no município de São Manuel, SP, onde os dados foram coletados através de dois métodos: vetorização das curvas altimétricas e o método por coleta de pontos de altitude sobre as curvas em nível com os pontos de máxima elevação. Os dados de altimetria (m) foram analisados pela técnica geoestatística. Apesar da grande diferença no número de pontos coletados pelos dois métodos, os variogramas foram ajustados ao modelo exponencial e representaram alcance de aproximadamente 1.500 m, o que não justifica a grande dificuldade da vetorização das cartas planialtimétricas, uma vez que os dados pontuais coletados na área foram bem distribuídos e representaram adequadamente a superfície do terreno. Palavras-chaves: interpolação, krigagem, declividade Digital terrain model obtained by different methods in planialtimetric chartsA B ST R A C T The digital elevation model is important to determine the slope and land use capability, therefore, a proposal of methodology for acquisition of elevation data contemplating an efficient algorithm to generate a slope map was developed. Thus, it was aimed to obtain and evaluate a digital elevation model without the vetorization of the contours on planialtimetric charts. The area for acquisition of elevation data was São Manuel, SP. The data were collected by two methods: level contour vetorization and the gathering of elevation points on the level contour with maximum elevation points. The elevation data were analyzed by geostatistical techniques. Inspite of wide difference in the number of collected points between two methods, the variograms were adjusted to the exponential model and showed a range of approximately 1500 m, which does not justify the wide difficulty in vetorization of the planialtimetric charts, once the data points collected in the area were appropriately distributed, they represented rightly the terrain surface.

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“…To generate a spatially continuous model of shallow water depth (< 20 m) over the Lizard Island reef system ( Fig. 2), a combination of spatial interpolation and regression models known as Regression-Kriging (Hengl et al, 2008) was applied to WV2 wavebands 1 and 3.…”

Section: Construction Of the Digital Terrain Modelmentioning

confidence: 99%

Simulating reef response to sea-level rise at Lizard Island: A geospatial approach

et al. 2014

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Please cite this article as: Hamylton, S.M., Leon, J.X., Saunders, M.I., Woodroffe, C.D., Simulating reef response to sea-level rise at Lizard Island: A geospatial approach, Geomorphology (2014Geomorphology ( ), doi: 10.1016Geomorphology ( /j.geomorph.2014 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.A C C E P T E D M A N U S C R I P T Abstract Sea-level rise will result in changes in water depth over coral reefs, which will influence reef platform growth as a result of carbonate production and accretion. This study simulates the pattern of reef response on the reefs around Lizard Island in the northern Great Barrier Reef. Two sea-level rise scenarios are considered to capture the range of likely projections: 0.5 m and 1.2 m above 1990 levels by 2100. Reef topography has been established through extensive bathymetric profiling, together with available data, including LiDAR, single beam bathymetry, multibeam swath bathymetry, LADS and digitized chart data. The reef benthic cover around Lizard Island has been classified using a high resolution WorldView-2 satellite image, which is calibrated and validated against a ground referencing dataset of 364 underwater video records of the reef benthic character. Accretion rates are parameterised using published hydrochemical measurements taken in-situ and rules are applied using Boolean logic to incorporate geomorphological transitions associated with different depth ranges, such as recolonisation of the reef flat when it becomes inundated as sea level rises. Simulations indicate a variable platform response to the different sea-level rise scenarios. For the 0.5 m rise, the shallower reef flats are gradually colonised by corals, enabling this active geomorphological zone to keep up with the lower rate of rise while the other sand dominated areas get progressively deeper. In the 1.2 m scenario, a similar pattern is evident for the first 30 years of rise, beyond which the whole reef platform begins to slowly drown. To provide insight on reef response to sea-level rise in other areas, simulation results of four different reef settings are discussed and compared at the southeast reef flat (barrier reef), Coconut Beach (fringing reef), Watson's Bay (leeward bay with coral patches) and Mangrove Beach (sheltered lagoonal embayment). The reef sites appear to accrete upwards at a rate commensurate with the rate of rise, thereby maintaining their original profile and position relative to the sea surface and the leeward and lagoonal sites with a low accretion rate maintain a similar profile but slowly gain depth relative to sea-level. The result of this variable response i...

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Geostatistical modeling of topography using auxiliary maps

Cited by 45 publications

References 19 publications

Modeling Change of Topographic Spatial Structures with DEM Resolution Using Semi-Variogram Analysis and Filter Bank

Modeling Change of Topographic Spatial Structures with DEM Resolution Using Semi-Variogram Analysis and Filter Bank

Modelo numérico do terreno obtido por diferentes métodos em cartas planialtimétricas

Simulating reef response to sea-level rise at Lizard Island: A geospatial approach

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