Bivariate point patterns

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Spatial Statistics in R

SPATIAL STATISTICS IN R

Bivariate point patterns Barry Rowlingson Research Fellow, Lancaster University

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Spatial Statistics in R

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Spatial Statistics in R

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Spatial Statistics in R

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Bivariate Point Pattern

Spatial Statistics in R

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Bivariate Nearest-Neighbor

Spatial Statistics in R

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Bivariate K-Function

Spatial Statistics in R

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Kernel Smoothing

Spatial Statistics in R

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spatstat Kernel Density plot(density(pp1))

Spatial Statistics in R

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Splitting point patterns plot(pp1)

plot(split(pp))

Spatial Statistics in R

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Density of Splits control_case_density = density(split(pp) plot(control_case_density)

# ratio cases/all plot(control_case_density[[2]]/density(pp))

Spatial Statistics in R

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Spatial Statistics in R

SPATIAL STATISTICS IN R

Let's practice!

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Spatial Statistics in R

SPATIAL STATISTICS IN R

Spatial segregation Barry Rowlingson Research Fellow, Lancaster University

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Density Ratio

Spatial Statistics in R

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Bandwidth Selection > bw plotcv(bw) > abline(v=bw$hcv, col="red")

Spatial Statistics in R

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Relative Case Rate

Spatial Statistics in R

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Simulations

Spatial Statistics in R

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Simulated Rates

Spatial Statistics in R

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Compare Data with Simulations

Spatial Statistics in R

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Using spatialkernel > plotmc(seg,"Violent crime")

Spatial Statistics in R

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Spatial Statistics in R

SPATIAL STATISTICS IN R

Let's practice!

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Spatial Statistics in R

SPATIAL STATISTICS IN R

Space-time data Barry Rowlingson Space-time Traveller

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1-D Time Point Process

Spatial Statistics in R

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Space-Time Data

Spatial Statistics in R

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Space-time Dot map

Spatial Statistics in R

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Histograms in Time

Spatial Statistics in R

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Using rgl

Spatial Statistics in R

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Using rggobi

Spatial Statistics in R

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Spatial Statistics in R

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Spatial Statistics in R

SPATIAL STATISTICS IN R

Let's practice!

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Spatial Statistics in R

SPATIAL STATISTICS IN R

Space-time clustering Barry Rowlingson A Cluster of Living Cells

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UFO Data

Spatial Statistics in R

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Spatial K Function

Spatial Statistics in R

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Space-Time K Function

Spatial Statistics in R

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Space-time Cylinder

Spatial Statistics in R

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K and D

Spatial Statistics in R

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K and D

Spatial Statistics in R

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Permutation test

Spatial Statistics in R

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Permutation test

Spatial Statistics in R

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Using stmctest > ufo_test plot(density(ufo_test$t)) > abline(ufo_test$t0)

Spatial Statistics in R

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Spatial Statistics in R

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Spatial Statistics in R

SPATIAL STATISTICS IN R

The Truth is Out There