Bayesian analysis of spatial point processes in the neighbourhood of Voronoi networks

Skare, Øivind; Møller, Jesper; Jensen, Eva B. Vedel

doi:10.1007/s11222-007-9029-8

Cited by 11 publications

(9 citation statements)

References 23 publications

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“…The flowchart and main methods utilized for extracting the levee geometrical parameters are demonstrated in Figure 3. The extracted outlines of the levee crown are used to generate the levee central line, which is further applied to produce a series of transect lines perpendicular to the central line at a 100 m interval using the Thiessen polygons ( Figure 4a) [23,24]. Those polygon sides that are perpendicular to the levee central line and constrained by the outlines of levee crown and toes are the levee transect lines (Figure 4b).…”

Section: Extraction Of Levees Geometric Parametersmentioning

confidence: 99%

Geometry-Based Assessment of Levee Stability and Overtopping Using Airborne LiDAR Altimetry: A Case Study in the Pearl River Delta, Southern China

Wang

Zhang

2020

Water

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Levees are normally the last barrier for defending flood water and storm surges in low-lying coastal cities. Levees in a large delta plain were usually constructed in different time and criteria and have been changing with age as well. Fast and quantitative assessment of levee stability is critical but faces many challenges. This study designs a scoring approach to quickly assess levee stability and overtopping threats with geometric parameters from airborne Light Detection and Ranging (LiDAR). An automated procedure is developed to extract levees geometric parameters from 0.5 m grid LiDAR elevation, such as crown height, width and landside slope. The surveyed levee is seated in the Hengmen waterway in the Pearl River Delta, Southern China. Results show that the stability index using the assessment scores is higher than and superior to the common qualified rates adopted in previous studies. The qualified rate is defined as the count percentage that each parameter meets the designed criteria, while the assessment score proposed in this study assigns different credits to those below/above the designed criteria. The continuous crown heights provide detailed information on levee overtopping threats. The crown heights of levee A and B are above the designed elevation and the flood stage (4.5 m) in a 200-year return period. The crown heights of levee C, D and E are generally lower than 4.5 m and vary in a large range on different sections. The middle section of levee E for the harbor and dock area has front elevation slightly below the flood stage (3.54 m) in a 20-year return period. Moreover, the high precision LiDAR altimetry data reveal various morphological modifications in all levees, such as natural subsidence and artificial modifications, which greatly reduce levees safety and are severe threats to the community. The procedures and assessment approach developed in this study can be easily applied for levees fast assessment in the entire Pearl River Delta and somewhere else, thus offer a suitable mitigation suggestion ahead of levee failure or overtopping.

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Section: Extraction Of Levees Geometric Parametersmentioning

confidence: 99%

Geometry-Based Assessment of Levee Stability and Overtopping Using Airborne LiDAR Altimetry: A Case Study in the Pearl River Delta, Southern China

Wang

Zhang

2020

Water

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“…A diverse set of examples at very different scales are gold coins near Roman roads (pp. 226-229 in Hodder & Orton, 2013), copper deposits in the neighbourhood of lineaments (Berman, 1986;Baddeley & Turner, 2006;Illian et al, 2008), galaxies at the boundary of cosmic voids (Icke & Van de Weygaert, 1987;Van de Weygaert & Icke, 1989;Van de Weygaert, 1994), pores at the boundary of grains (Karlsson & Liljeborg, 1994;Skare et al, 2007), animal latrines near territorial boundaries (Blackwell, 2001;Blackwell & Møller, 2003;Skare et al, 2007), linear rows of mines (Walsch & Raftery, 2002), specific tree species along rivers in a rain forest (Valencia et al, 2004), and brain cells with a columnar structure (cf. Figure 2).…”

Section: Latent Geometric Structuresmentioning

confidence: 99%

Some Recent Developments in Statistics for Spatial Point Patterns

Møller

Waagepetersen

2017

Annu. Rev. Stat. Appl.

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This paper reviews developments in statistics for spatial point processes obtained within roughly the last decade. These developments include new classes of spatial point process models such as determinantal point processes, models incorporating both regularity and aggregation, and models where points are randomly distributed around latent geometric structures. Regarding parametric inference the main focus is on various types of estimating functions derived from so-called innovation measures. Optimality of such estimating functions is discussed as well as computational issues. Maximum likelihood inference for determinantal point processes and Bayesian inference are briefly considered too. Concerning non-parametric inference, we consider extensions of functional summary statistics to the case of inhomogeneous point processes as well as new approaches to simulation based inference.

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“…A fairly recent review is Kottas and Sanso (2007), section 2.4. Interesting applications include Skare et al (2007) who modelled a spatial pattern of badger territories and the distribution of pores in 3D translucent alumina using an inhomogeneous Poisson process with high intensity near the edges of an unobserved Voroni tessellation. We have chosen not to focus on parametric rate models (which abound e.g.…”

Section: Extensionsmentioning

confidence: 99%