Spatial interaction of methylene blue stained soil pores

Stein, Alfred; Lieshout, van Mnm Marie-Colette; Booltink, H.W.G.

doi:10.1016/s0016-7061(00)00106-3

Cited by 5 publications

(4 citation statements)

References 32 publications

(25 reference statements)

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“…(1998), K erscher et al. (1999), S tein , van L ieshout and B ooltink (2001), F oxall and B addeley (2002), and P aulo (2002).…”

Section: Introductionmentioning

confidence: 99%

“…Extensions to multivariate point processes were proposed in van Lieshout and Baddeley (1999), window based J -functions were suggested in and Chen (2003). For applications in agriculture, astronomy, forestry and geology, see Kerscher (1998), Kerscher et al (1998), Kerscher et al (1999), Stein, van Lieshout and Booltink (2001), Foxall and Baddeley (2002), and Paulo (2002).…”

Section: Introductionmentioning

confidence: 99%

“…Extensions to multivariate point processes were proposed by [19], and window based J-functions suggested by [2] and [6]. For applications in agriculture, astronomy, forestry and geology, see [8,13,14,15,21,24].…”

Section: Introductionmentioning

confidence: 99%

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A J–function for inhomogeneous point processes

Lieshout

2011

Statistica Neerlandica

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We propose new summary statistics for intensity-reweighted moment stationary point processes, that is, point processes with translation invariant n-point correlation functions for all n ∈ N, that generalise the well known J -, empty space, and spherical Palm contact distribution functions. We represent these statistics in terms of generating functionals and relate the inhomogeneous J -function to the inhomogeneous reduced second moment function. Extensions to space time and marked point processes are briefly discussed.

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“…(1998), K erscher et al. (1999), S tein , van L ieshout and B ooltink (2001), F oxall and B addeley (2002), and P aulo (2002).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A J–function for inhomogeneous point processes

Lieshout

2011

Statistica Neerlandica

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“…Extensions to multivariate point processes were proposed in [22], and window based J-functions suggested in [5,9]. For applications in agriculture, astronomy, forestry and geology, see [15,18,19,20,31], or the recent theses [8,25].…”

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confidence: 99%

A J-Function for Marked Point Patterns

Lieshout

2006

Ann Inst Stat Math

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C e n t r u m v o o r W i s k u n d e e n I n f o r m a t i c a PNA Probability, Networks and Algorithms Probability, Networks and AlgorithmsA J-function for marked point patterns ABSTRACT We propose a new summary statistic for marked point patterns. The underlying principle is to compare the distance from a marked point to the nearest other marked point in the pattern to the same distance seen from an arbitrary point in space. Information about the range of interaction can be inferred, and the statistic is well-behaved under random mark allocation. We develop a range of Hanisch style kernel estimators to tackle the problems of exploding tail variance earlier associated with J-function plug-in estimators, and carry out an exploratory analysis of a forestry data set. AbstractWe propose a new summary statistic for marked point patterns. The underlying principle is to compare the distance from a marked point to the nearest other marked point in the pattern to the same distance seen from an arbitrary point in space. Information about the range of interaction can be inferred, and the statistic is well-behaved under random mark allocation. We develop a range of Hanisch style kernel estimators to tackle the problems of exploding tail variance earlier associated with J-function plug-in estimators, and carry out an exploratory analysis of a forestry data set.

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