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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8 views

Spatial regression with misaligned predictor (point) and outcome (point)

My outcome (Y) is the type of traffic crash event measured at every intersection (on a street grid). Covariates are measured at the locations of the events. The predictor of main interest (X, a ...
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29 views

Detecting spatial autocorrelation with no explicit spatial information

I have some ecological data collected from n independent sites spanning a relatively large spatial scale (>10 degrees of latitude), and from each site, n replicate samples were collected but no ...
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2answers
71 views
+100

Statistical model to predict the next move on network only using movement history

Is it possible to build a statistical model that predicts the next move in a graph solely based on past movements and the structure of the graph? I have made an example to illustrate the problem: ...
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26 views

Spatio temporal correlation of point data

I am working on a correlation analysis of two inter-relative phenomena, water leaks and water borne disease. Both are geo-references in lat/lon and each event is a date (of occurrence). I want to ...
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1answer
19 views

Comparing X-Y Co-ordinates

I have 500 x-y co-ordinates with five different variables so around 100 for each variable. I would like to compare how packed the clusters are, also how far they are away from their desired points ...
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11 views

Spatio temporal correlation of point data

I am working on a correlation analysis of two inter-relative phenomena, water leaks and water borne disease. Both are geo-references in lat/lon and each event is a date (of occurrence). I want to ...
3
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1answer
58 views

Spatial cross-correlation: What is the correlation statistic used by the correlog function?

I want to look at the spatial cross-correlation between 2 variables. I am currently using the function correlog from the package ...
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1answer
41 views

Testing for group differences based on Ripley's K-function

Given a number of K-functions from data of two populations (e.g. 10 sets with points of population 1 and 10 sets with points of population 2; non-overlapping image areas; only one population per set, ...
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15 views

pattern recognition in spatial data in R

I am currently working on telemetry data for the wild animals. I have extracted their paths over the map. I have also calculated the angular movement per activity. In my dataset I am given with the ...
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16 views

measure of spatial shift

I need some advise on how to quantify the spatial shift of an event. I have current distribution of rice across a large region. Not everywhere in the region is rice present. Then I model this ...
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1answer
25 views

Interpretation of Matern cluster point pattern process intensity function equation

I am struggling with interpreting the intensity function for a Matern cluster point process model. From Illian et al. 2008, p. 381 (Statistical Analysis and Modelling of Spatial Point Patterns), it ...
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12 views

Explore the possibility of autocorrelation for discrete factors

I have a dataset looks something like the following: ...
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41 views

Probability of observing an excess of $k_0$ points via a binomial distribution with the isotropy assumption

Consider an area $\Omega$ and its subset $\Omega_1$. Let the hypothesis be that the distribution of points in the area $\Omega$ is isotropic. That means that a probability of finding a point in the ...
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18 views

Suggested books/readings on spatial statistics for remote sensing

I'm taking a class on statistics for image analysis and I'm thinking of getting some background reading on the subject. Anybody know a good book/website/readings on the subject? I'm coming from a ...
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1answer
25 views

How can I generate ensembles from spatially correlated PDFs?

So I have a grid where every grid point has PDF of a variable (precipitation). The PDFs are spatially correlated. What is the best way for generating ensembles that are spatially and temporally ...
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0answers
24 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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0answers
25 views

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

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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0answers
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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1answer
30 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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1answer
60 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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0answers
23 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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0answers
24 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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0answers
25 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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0answers
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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0answers
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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2answers
54 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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0answers
35 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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32 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
67 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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0answers
13 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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0answers
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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0answers
10 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 ...
4
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1answer
74 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
49 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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0answers
21 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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0answers
48 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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0answers
19 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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1answer
65 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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0answers
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 ...
3
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1answer
83 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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0answers
17 views

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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4answers
98 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.
3
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0answers
39 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 ...
2
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1answer
31 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 ...
2
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1answer
63 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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0answers
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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0answers
51 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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0answers
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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19 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
34 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 ...