The field of study concerning statistical methods that use space and spatial relationships (such as distance, area, volume, length, height, orientation, centrality and/or other spatial characteristics of data) directly in their mathematical computations.

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Is there a way to find correlation in patterns?

Suppose we have a nxn grid. X and Y are both binary (0, 1) variables scattered on the grid. There are n^2 points which are either 0 or 1 for X or Y. We can compute correlation the normal way on the ...
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14 views

Methods to find the correlation between one variable and a set of variables

I have discrete measures (let's say $I(x,y,t)$, i.e., coordinates in space and time) on a geographical map that are sampled randomly. I also have a constant flow of optical images in several ...
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7 views

How to remove zonal anisotropy from directional variogram using gstat in R?

I have a dataframe named seoul315 contains the 107 data of PM10 concentration at 1 march,2012,5.00 am. please, download. I have tried to plot semi-variogram for kriging bt the following code: ...
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6 views

Power analysis for spatially structured variables in survival analysis

I am working with colleagues on an analysis of survival in a chronic neurological disease. There are several well known factors that influence survival. We have data from a good register which ...
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17 views

How to draw a efficient sample variogram using gstat package in R?

I have a csv file named seoul3112, contains PM10 concentrations. please, download..I have tried to plot sample variogram and fit a model on it. ...
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39 views

How to compare two spatial points patterns in R?

I have two spatial points data sets (relocations of animal A and distribution of plant B). How can I investigate if animal A is more likely to be where plant B is present? With the animal ...
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19 views

Model checking for Spatial CAR (Conditional Autoregressive) model

We assume our data follow the model: $$ Y = X\beta +\varepsilon $$ In spatial CAR (SAR) model, we assume that the errors $\varepsilon$ are correlated in a spatial setting. Let's say that we model ...
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20 views

Is it possible to use spatial autocorrelation test to determine the tuning parameter in the thin plate spline smoother?

I am currently working with some insurance data and try to estimate spatial structure of claims frequencies. The common approach is to perform some kind of regression on the non-spatial data then ...
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21 views

How can I intepret and compare ARIMAs from different data sets?

I have human chromosome data. I have 23 chromosomes that consist of equally spaced windows of 100,000 base pairs with a dependent variable attached. I am treating this like a 1 dimensional spatial ...
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4 views

Spatial Autoregressive model with ordinal dependent variable

I am trying to find out if there is a R/Stata package that allows one to do SAR model like mentioned in the LePage book with ordinal dependent variable. I am aware that there is a package called svdep ...
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14 views

Is it possible to visualize spatial errors?

I would like to ask if anyone is familiar with a way of visualizing the spatial error (lambda) produced by models such as the Spatial Error Model (SEM) or the Spatial Durbin Error Model (SDEM). As ...
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51 views

Why is Moran's $I$ coming out greater than $1$?

Moran's $I$ statistic is defined to be the quantity $$ \frac{N}{\sum_{i,j} w_{ij}}\frac{\sum_{i,j}w_{ij}(X_i-\bar{X})(X_j-\bar{X})}{\sum_i(X_i-\bar{X})^2} $$ where $w_{ij}$ is some matrix of spatial ...
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32 views

Spatial clustering based on response

Statistics version: I have a few measurements of a function that takes three inputs and produces a few 2D fields of outputs: f(a,b,c;x,y), with f being a vector of several quantities. I would like to ...
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23 views

Gaussian Distribution for Latitude/Longitude Coordinates

I have a bunch of latitude/longitude coordinates and if I plot it on a map, it seems to follow a bivariate distribution. I would like to estimate the distribution of points using a bivariate ...
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1answer
62 views

Use of Poisson distribution to analyse distribution of individuals in space

Dytham 2010 suggests using the Poisson distribution to establish whether individuals are evenly distributed in space. Say we end up with a map of individuals in a study site that looks like the ...
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7 views

the relationship betweeen Moran Scatter Plot, LISA Cluster Map and Spatial Lag Model

have read that by means of the Moran Scatter Plot and LISA Cluster Map, pockets of spatial nonstationarity can be indicated. What is exact the spatial nonstationarity? Does it refer to the outlier ...
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12 views

Is using the whole population and sample data as a co-variance in spatial analysis correct?

I have two datasets that I am using to fit a spatial regression model. One is from the whole population (say means of bike usage in each state), and a sample population (statistics means of those with ...
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9 views

Quantifying spatial-temporal variation

Imagine a set of territories each subdivided into 5m grid cells. Each grid cell represents a spatial unit, and that unit can have any number of variables associated with it - e.g. habitat ...
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55 views

How Does Kriging Interpolation work?

I am working on a problem in which I need to use Kriging to predict the value of some variables based on some surrounding variables. I want to implement its code by myself. So, I've went through too ...
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2answers
42 views

Finding cluster number based on distance & max element count

Given two constraints: The maximum distance d an element can lie from a cluster centroid (or medoid) The maximum number of elements n in one cluster Is it possible to find the minimum number of ...
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19 views

Compare Procrustes values

I have two sets of spatial data which underwent a transformation. I'd like to compare the effect of the transformation on two sets of data to test the hypothesis that the transformation had a larger ...
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40 views

Estimating a dynamic spatial panel

I am analyzing a spatial panel dataset using the XSMLE package in Stata. My units are a subset of US states (11) and my panel is strongly balanced. The package returns estimations for Main, Spatial, ...
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17 views

Modify dot product for dimension independence

The distribution of the pair-wise dot products of uniformly distributed points on the unit sphere depends upon the dimension n (see, e.g. here). What alternative similarity measures exist that do not ...
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50 views

Simple Kriging with linear semivariogram

While studying how to develop a simple kriging model with a linear semivariogram, the various tutorials point towards creating a covariogram using $\sigma(h) = \sigma(0) - \gamma(h)$, but the value of ...
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17 views

Contingency testing in geographic data with the issue of independence?

How can I test contingency between two variables in geographic data with the issue of independence? I have a column of fire frequency and a column of vegetation change but do not think a simple chi ...
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1answer
75 views

Spatial autoregressive model implementation in R [closed]

I need to implement a SAR model with no covariates. To be more specific, the regression I have to estimate is y=bWy+e where: y is the dependent variable; b is the coefficient parameter to be ...
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Is it possible to extend dynamic spatial (space-time) panel model to a SARAR (SAC) specification?

I have panel data of 200 regions over 20 years. My goal is to estimate a dynamic spatial (space-time) panel model. I would like to employ an extension of model used in Debarsy/Ertur/LeSage (2009): ...
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3answers
76 views

Any easy way to cluster GPS trajectories?

Can anyone recommend an easy way to cluster hundreds of GPS trajectories to find out their common paths? The GPS data is coming from different vehicles that have traveled thousands of miles.
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33 views

Test whether cross-sectional dependence in panel data follows known (network/spatial) structure

I want to test whether cross-sectional dependence in one specific variable (y) in panel data format follows a known structure (W) (e.g. network, spatial dependence), after controlling for individual ...
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1answer
30 views

Estimating a peer effects model in R

I would like to estimate a model of the following form: $$ y = \sigma G y + \beta X + \delta G^* X + \epsilon $$ where $G$ and $G^*$ are quadratic adjacency matrices, $y$ is a vector of a dependent ...
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1answer
42 views

Homogeneous vs. Inhomogeneous Poisson point process

What are the main theorical differences between the homogeneous and inhomogeneous Poisson point process? What are the aspects and condition of my data that I can determine which point process best ...
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8 views

Spatial regression-one explanatory variable is determined by other explanatory variables

I am doing a spatial analysis of the relationship between nutrient loss, intensive inputs and farm characteristics. However, the dairy yield is also determined by intensive inputs; also, dairy yield ...
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49 views

How do I interpret lagsarlm output from R's spdep?

I've run lagsarlm on my dataset, using a mixed model and using a row-standardized adjacency matrix. I have results that I think are good, but would am not sure how ...
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7 views

Use of mantel test to test spatial correlation between single and mixed-species groups

I am trying to see if there is spatial correlation between species found in single and mixed-species sightings using location-specific data. I used a mantel test (geographic distance, Euclidean) in ...
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17 views

Calculating leverage/cook's distance for a Weighted Spatial Simultaneous Autoregression Model

I am estimating a Weighted Spatial Simultaneous Autoregression Model (spdep::spautolm --> Link) in R and I would like to do some residual analysis. Unfortunately ...
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1answer
33 views

Computing Issues with Kriging

I am having some issues with Kriging in R, and I was looking for some idea where I am going wrong. From what I can tell, I done a decent job removing the trend, and I believe my transformed data is ...
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41 views

How can I compute multicollinearity (VIF) in R, and know if it's safe?

I am working on a group project for a university course on "big data research methods". My data is aggregated by neighborhoods in Chicago. My dependent variable $Y$ is the property crime rate (per ...
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31 views

Lag lengths are larger than my domain in gstat in R? variogram object

My problem is that the my resulting variograms are of a larger lag length than my domain. I have the following code to compute lags in the vertical direction: ...
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22 views

How to compare Pearson correlation coefficients from spatial data [duplicate]

Dear "Cross Validated" community, First I want to introduce my data to you, so that you can get a clear overview regarding the problem I´m confronted with. For some urban studies I´ve got a spatial ...
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18 views

Correlating aggregated values between groups

I am currently analysing data from household surveys in 27 Indian villages in 7 states, with about 30 cases in each village (807 in total). The aim is to find relationships between various factors and ...
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1answer
19 views

Is spatial eigenfunction analysis a kind of direct gradient analysis?

Everything is in the title. By eigenfunction analysis, I mean using methods based on Moran's and asymmetrical eigenvector maps. I have a trouble to understand if they overlap or if one is just a ...
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47 views

Help with R packages to use in my spatial discrete choice model

I am at a loss as to which R package and approach to use for my modeling. The background is: I have a transportation cross-sectional survey dataset combined with many other GIS datasets. I am ...
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1answer
59 views

Condensing spatial time series data and spatial interpolation

I have spatio-temporal albedo (roughly, the 'reflectivity' of earth's surface) dataset, from NASA's MODIS satellite, for a 130 square kilometer area. The dataset contains raster files in the NetCDF ...
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50 views

Is there any difference between spatial correlation and spatial autocorrelation?

What is spatial correlation? Is it the same with spatial auto-correlation or it is different?
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37 views

Is it meaningful to compute a radial kernel density estimate from 2D data?

I am working with 2D spatial data, $(X_i, Y_i),\; i=1, \cdots, N$. My current research requires estimating the density of the distances between those data points in each of the two dimensions. So ...
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1answer
42 views

MAUP: correlation increases with aggregation, would error decrease?

I know that, due to MAUP, as you coarsen the scale of analysis, you can expect the correlation coefficient to increase, variance to decrease (?), and regression coefficients to fluctuate. Is there ...
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54 views

What is the theory behind using eigenvectors for spatial filtering

As a programmer I have used the spdep package successfully for spatial filtering. But would appreciate it if someone could offer a description (preferably with supporting references) of how this ...
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1answer
123 views

Fitting a variogram model with the pairwise distance matrix supplied

I'm trying to fit a variogram to my data, however the spatial points are confined by an irregular polygon. So I'd like to supply a variogram model function with the distance matrix of the points. ...
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31 views

Geostatistics: disaggregating regional data to subregions

I have been reading a lot on geostatistics. I am still unsure this problem falls under the umbrella of geostatistics, or if it is statistically feasible at all. I have the market share for a company ...
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34 views

Incorporating systematic error in (spatial) predictive modelling

I have created a model (random forest) and withheld 20%. When I apply the model to the withheld dataset and check the residuals against the real values I can see there is a systematic error e.g lower ...