API reference

A-DBSCAN

adbscan.ADBSCAN(eps, min_samples[, ...])

A-DBSCAN, as introduced in [ABGLopezVM21].

Correlogram

correlogram(geometry, variable[, support, ...])

Generate a spatial correlogram

Gamma Statistic

Gamma(y, w[, operation, standardize, ...])

Gamma index for spatial autocorrelation

Geary Statistics

Geary(y, w[, transformation, permutations])

Global Geary C Autocorrelation statistic

Geary_Local([connectivity, labels, sig, ...])

Local Geary - Univariate

Geary_Local_MV([connectivity, permutations, ...])

Local Geary - Multivariate

Getis-Ord Statistics

G(y, w[, permutations])

Global G Autocorrelation Statistic.

G_Local(y, w[, transform, permutations, ...])

Generalized Local G Autocorrelation

Join Count Statistics

Join_Counts(y, w[, permutations, drop_islands])

Binary Join Counts

Join Count Local Statistics

Join_Counts_Local([connectivity, ...])

Univariate Local Join Count Statistic

Join_Counts_Local_BV([connectivity, ...])

Univariate Local Join Count Statistic

Join_Counts_Local_MV([connectivity, ...])

Multivariate Local Join Count Statistic

LOSH Statistics

LOSH([connectivity, inference])

Local spatial heteroscedasticity (LOSH)

Modifiable Areal Unit Tests

Smaup(n, k, rho)

S-maup: Statistical Test to Measure the Sensitivity to the Modifiable Areal Unit Problem.

Moran Statistics

Moran(y, w[, transformation, permutations, ...])

Moran's I Global Autocorrelation Statistic

Moran_BV(x, y, w[, transformation, permutations])

Bivariate Moran's I

Moran_BV_matrix(variables, w[, ...])

Bivariate Moran Matrix

Moran_Local(y, w[, transformation, ...])

Local Moran Statistics.

Moran_Local_BV(x, y, w[, transformation, ...])

Bivariate Local Moran Statistics.

Moran_Rate(e, b, w[, adjusted, ...])

Adjusted Moran's I Global Autocorrelation Statistic for Rate Variables [AR99]

Moran_Local_Rate(e, b, w[, adjusted, ...])

Adjusted Local Moran Statistics for Rate Variables [AR99].

plot_moran_facet(moran_matrix[, figsize, ...])

Moran Facet visualization.

MoranLocalPartial([permutations, ...])

MoranLocalConditional([permutations, ...])

Fit a local moran statistic for y after regressing out the effects of confounding X on y.

Shape Statistics

shape.boundary_amplitude(collection)

The boundary amplitude (adapted from Wang & Huang (2012)) is the length of the boundary of the convex hull divided by the length of the boundary of the original shape.

shape.convex_hull_ratio(collection)

ratio of the area of the convex hull to the area of the shape itself

shape.diameter_ratio(collection[, rotated])

The Flaherty & Crumplin (1992) length-width measure, stated as measure LW_7 in [Alt98].

shape.equivalent_rectangular_index(collection)

Deviation of a polygon from an equivalent rectangle

shape.form_factor(collection, height)

Computes volumetric compactness

shape.isoareal_quotient(collection)

The Isoareal quotient, defined as the ratio of a polygon's perimeter to the perimeter of the equi-areal circle.

shape.isoperimetric_quotient(collection)

The Isoperimetric quotient, defined as the ratio of a polygon's area to the area of the equi-perimeter circle.

shape.length_width_diff(collection)

The Eig & Seitzinger (1981) shape measure, defined as:

shape.minimum_bounding_circle_ratio(collection)

The Reock compactness measure, defined by the ratio of areas between the minimum bounding/containing circle of a shape and the shape itself.

shape.moa_ratio(collection)

Computes the ratio of the second moment of area (like Li et al (2013)) to the moment of area of a circle with the same perimeter.

shape.moment_of_inertia(collection[, ...])

Compute moment of inertia (second moment of area) per geometry.

shape.nmi(collection)

Computes the normalized moment of inertia

shape.radii_ratio(collection)

The Flaherty & Crumplin (1992) index, OS_3 in [Alt98].

shape.rectangularity(collection)

Ratio of the area of the shape to the area of its minimum bounding rotated rectangle

shape.reflexive_angle_ratio(collection)

The Taylor reflexive angle index, measure OS_4 in [Alt98]

shape.second_areal_moment(collection)

shape.second_moment_of_area(collection[, ...])

Compute moment of inertia (second moment of area) per geometry.

shape.shape_index(collection)

Schumm’s shape index (Schumm (1956) in MacEachren 1985)

shape.squareness(collection)

Measures how different is a given shape from an equi-areal square

Silhouette Statistics

boundary_silhouette(data, labels, W[, ...])

path_silhouette(data, labels, W[, D, ...])

silhouettes.nearest_label(data, labels[, ...])

Find the nearest label in attribute space.

silhouettes.silhouette_alist(data, labels, alist)

Compute the silhouette for each edge in an adjacency graph.

Spatial Pearson Statistics

Spatial_Pearson([connectivity, permutations])

Global Spatial Pearson Statistic

Spatial_Pearson_Local([connectivity, ...])

Local Spatial Pearson Statistic

Utility Functions

fdr(pvalues[, alpha])

Calculate the p-value cut-off to control for the false discovery rate (FDR) for multiple testing.