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Questions tagged [spatial-correlation]

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Matern covariance increasing with smoothness

Consider the Matern covariance function with the following parametrization: $$C_{\nu,\phi,\sigma}(h) = \sigma^2 \frac{2^{1-\nu}}{\Gamma(\nu)}\left(\sqrt{2\nu}\frac{h}{\phi} \right)^\nu K_\nu (\sqrt{2\...
Tommy Tang's user avatar
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How to account for spatial autocorrelation when the outcome (distance cycled) is continuous?

I aim to predict distance cycled based on population density, recreational area density, infrastructure density, road intersection density, and average gradient (hilliness). The response variable, ...
Eugeni's user avatar
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Alternatives to partial mantel test for removing spatial autocorrelation in R?

I have a presence/absence distance matrix based on eDNA sampling for certain species at ~30 sites. I would like to see if the volume of water filtered influences species detection, accounting for the ...
MMamone's user avatar
3 votes
1 answer
76 views

What standard error should I use with correlated clusters in maximum likelihood estimation of multinomial logit

I have a dataset with 14 clusters. Each cluster is a time series of 80 periods with autocorrealtion, and I am doing maximum likelihood estimation of a structural multinomial logit model. I suspect ...
jasmine's user avatar
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Help with SAR model interpretation

I am working on a research project that investigates the effect of land subsidence and flood risk on property prices. I have used the Spatial Autoregressive (SAR) model to estimate the direct, ...
eos's user avatar
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Is it possibe to extrapolate abundance estimates of N-mixture models to unsampled parts of a species range?

I have repeated count data for a part of the range of the species I am interested in, and have used unmarked to get an abundance estimate for these. My understanding is that the population estimate ...
Birdman's user avatar
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45 views

Performing Chi-Square test (or similar) across a spatial grid

I have a dataframe in R where each row is an sf-formatted geospatial grid. For each grid, I have the number of venomous snakes and the number of non-venomous snakes seen in that area. I also have data ...
Bradley Allf's user avatar
1 vote
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60 views

Intersection of matern covariance functions with different parameters

I am trying to prove some ideas about the identifiability of covariance function parameters for small samples. From various numerical experiments, it seems that the graphs of two matern covariance ...
Tommy Tang's user avatar
2 votes
1 answer
726 views

Spatial autocorrelation correction with glmmTMB

I am currently working on a dataset (count data) in which one observation corresponds to one day of monitoring at a site. The overall protocol is to monitor groups of sites along transects. Almost all ...
Lea_M's user avatar
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38 views

Analysis of spatially correlated count data from a designed agricultural experiment

I have carried out a designed agricultural experiments with two treatments and recorded the effect on the abundance of a pest insect. The field experiment was divided into four blocks with two plots (...
jaypeg's user avatar
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predict return different values from fitted.value [closed]

I am using lagsarlm in spdep package in r to estimate a spatial Durbin (mixed) model by ...
Chenghao Duan's user avatar
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187 views

How do I account for spatial autocorrelation in my zero inflated negative binomial model?

I am building a zero-inflated NB model, and I know my data are spatially autocorrelated (as per the acf test). My current model is: ...
hannahS's user avatar
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Comparing Moran's value between different variables in same geographie

let's suppose I have a dataset with 3 different variables (features) for the same geographie and then calculate the Moran's values for each one. All my variables have a p-values<0.05. Can I compare ...
Luan Mota's user avatar
2 votes
0 answers
42 views

Fitting a well-specified 1D function of time to 3D spatial and spatially correlated data

I have acquired experimental data that can be considered to be a scalar field in physical three-dimensional space, $(x,y,z)$ that I have observed over time, measured on an equally spaced regular grid. ...
Landak's user avatar
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4 votes
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Geoscience Statistical Anomaly - Groundwater Measurements

I am a Geoscientist working in the field taking groundwater measurements every day. I frequently work with groundwater monitoring wells as an integral part of my day. For those of you who do not know ...
Aaron Otillar's user avatar
1 vote
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48 views

Comparing Mantel statistics

I have the abundance of different species of birds at various locations in a country. From this data I can compute the Bray-Curtis dissimilarity matrix. This question I want to be able to answer from ...
David Young's user avatar
1 vote
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139 views

Decreasing trend in semivariogram of nlme model residuals?

I am new to spatial statistics and am trying to fit some spatial models using the nlme package in R. I fit three different models, using the same set of predictors ...
stat-gov's user avatar
2 votes
0 answers
194 views

Spatial Error Model vs Conley standard errors

What is the difference (pros and cons) of using an OLS with conley standard errors and a spatial error model? Is there a recommendation for when you should use one over the other? Thanks!
Green Apples's user avatar
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153 views

Metric to quantify randomness

I have an $L \times L$ matrix representing a $2D$ region. Each entry of this matrix is a real number lying in the closed interval [0,1]. I want to quantify how different is this from a similar $L \...
Akshay's user avatar
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1 vote
1 answer
731 views

Expectation and Variance of Moran's I under the Null

Moran's I is a statistic used to measure spatial autocorrelation. For a set of $N$ spatial units where we get measurements $\mathbf{x} = (x_1, x_2, \cdots, x_N)^T$, and a weight matrix between the ...
Devil's user avatar
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1 vote
1 answer
152 views

What means that the model is "singular"?

My question might be rather basic, theoretical. I am running spatial and spatial-temporal bayesian models in INLA. I have areal data and a continuous response variable with spatial and temporal ...
marina_esp's user avatar
9 votes
1 answer
428 views

References on data partitioning (cross-validation, train/val/test set construction) when data are non-IID

Consider a prediction setting in which we are interested in training a regression or classification function $f$ with inputs $X \in \mathbb{R}^k$ and target $Y$, and assessing its expected ...
Adrian's user avatar
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349 views

INLA model with spatial autocorrelation - binary response, binomial predictor

I have a binary response variable (0/1) and a predictor distributed continuously on 0-1 scale. There is significant spatial autocorrelation in data, thus I am running an INLA model to account for that....
MIH's user avatar
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2 votes
0 answers
102 views

What are the types of error correlation?

In many fundamental regression models errors are assumed Independent Identically Distributed. One of violations of this assumption is when the errors are somehow correlated. From what I know it may ...
cure's user avatar
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