A review on anisotropy analysis of spatial point patterns

• A spatial point pattern is called anisotropic if its spatial structure depends on direction. Several methods for anisotropy analysis have been introduced in the literature. In this paper, we give an overview of nonparametric methods for anisotropy analysis of (stationary) point patterns in ℝ2 andℝ3. We discuss methods based on nearest neighbour and second order summary statistics as well as spectral and wavelet analysis. All techniques are illustrated on both a clustered and a regular example. Finally, we discuss methods for testing for isotropy as well as for estimating preferred directions in a point pattern.

Ämnesord

SAMHÄLLSVETENSKAP  -- Social och ekonomisk geografi -- Ekonomisk geografi (hsv//swe)

SOCIAL SCIENCES  -- Social and Economic Geography -- Economic Geography (hsv//eng)

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Wavelets

Spectral analysis

Second-order characteristics

Fry plot

Spatial summary statistics

Fry plot

Second-order characteristics

Spatial summary statistics

Spectral analysis

Wavelets

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