Statistical Analysis of Spatial Point Patterns

By Jürgen Symanzik. Technometrics, 2005

1,620 citations recorded by the source corpus.

Subfields: Economics and Econometrics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/7bb351ff50cb69a8f9ac6f7d474da9817fc47c40

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Citations in the corpus

Fitting complex ecological point process models with integrated nested Laplace approximation (2013, background): “These are typically treated within the context of spatial point process theory (Diggle 2003; Wiegand & Moloney 2004; Wiegand et al. 2007; Illian et al. 2012).”
Modern Statistics for Spatial Point Processes * (2007, background): “In short, ‘Modern statistics for spatial point processes’, where recent textbooks include Van Lieshout (2000), Diggle (2003), Møller & Waagepetersen (2003b), and Baddeley et al. (2006).”
Pattern and process: competition causes regular spacing of individuals within plant populations (2005, methodology): “…6 ( t ) was calculated up to a scale of t = 35 mm in intervals of ∆ t = 0.5 mm. Initial patterns were tested for departures from complete spatial randomness by simulating 99 realizations of random patterns and plotting the minimum and maximum 6 ( t ) values as confidence envelopes (Diggle 1983).”
Opening the black box: an open-source release of Maxent (2017, methodology): “An IPP is a widely-used model for a random set Z of points falling in some domain D (Cressie 1993, Diggle 2003).”
Residual analysis for spatial point processes (with discussion) (2005, methodology): “For surveys, see Diggle (2003), chapters 5–7, and Møller and Waagepetersen (2003a, b).”
Geometrically Corrected Second Order Analysis of Events on a Linear Network, with Applications to Ecology and Criminology (2012, methodology): “Asymptotic bias and variance for Poisson process The bias and variance of K̂ L under complete randomness can be calculated approximately using U -statistic methods similar to those of Ripley (1984, 1988), see also Lotwick & Silverman (1982), Chetwynd & Diggle (1998) and Diggle (2003, pp.”
Second‐order analysis of inhomogeneous spatio‐temporal point process data (2009, background): “There is an extensive literature on the analysis of point process data in time (e.g. Cox and Isham, 1980; Daley and Vere-Jones, 2003) and in space (e.g. Cressie, 1991; Diggle, 2003).”
To sample or eradicate? A cost minimization model for monitoring and managing an invasive species (2008, background): “CSR assumes that, given a fixed number of events, each event is equally likely and is independent of all other events (Diggle 2003).”
Rings, circles, and null-models for point pattern analysis in ecology (2004, methodology): “If the processes operating in time and space are independent, K(r, t) should be the product of separate space and time K-functions (Bailey and Gatrell 1995).”
The topology of probability distributions on manifolds (2013, methodology): “In the analysis of spatial point processes, limiting distributions of integral-geometric quantities such as area and boundary length [24, 42, 48, 36], Euler characteristic of patterns of discs centered at random points [36, 51], and the Palm ∗OB was supported by DARPA: N66001-11-1-4002Sub#8 †SM is p”
Explosive connections? Mass media, social media, and the geography of collective violence in African states (2015, background): “…this approach avoids the need to specify arbitrary spatial units of analysis by simulating the emergence of point-like events in a continuous space, while also providing a convenient means for parameterizing patterns of spatial interdependence between events (Diggle, 2003; Baddeley & Turner, 2005).”
Spatial ecology of a small desert shrub on adjacent geological substrates (2003, methodology): “Spatial distribution of Ambrosia relative to shrubs and semi-shrubs To analyse spatial relationships between Ambrosia semishrubs and other woody plants, including conspecifics, Larrea shrubs, and Acamptopappus semi-shrubs, we calculated intraspecific and interspecific K-functions (Ripley 1976; Diggl”
Edge-correction needs in estimating indices of spatial forest structure (2006, methodology): “Two examples are translation (also referred to as torus or periodic boundary conditions; Diggle 2003) and reflection (e.”
Strong plant-soil associations in a heterogeneous subtropical broad-leaved forest (2011, methodology): “Many statistical methods were proposed to resolve this problem (Harms et al. 2001; Plotkin et al. 2002; Diggle 2003).”
Human settlement and baobab distribution in south‐western Mali (2007, methodology): “There are numerous technical descriptions of Ripley’s K, which is calculated from the observed number of point-topoint distances within a given distance, h (Bailey & Gatrell, 1995; Haase, 1995; Dixon, 2002; Diggle, 2003).”
Spatial modelling with R-INLA: A review (2018, background): “…objects or events in space (the “points”) are the observations of interest, and one typically aims to learn about the mechanisms that generated the spatial pattern formed by the locations of the objects or events represented by these points (Møller et al., 1998; Diggle, 2003; Illian et al., 2008).”