Question about potential implementation of spatially aggregated LGCP (Li et al 2012)

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Matthew Gonnerman

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Jan 15, 2026, 9:23:01 AM (4 days ago) Jan 15
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Hello,

I am exploring options for implementing the model described in Li et al 2012 (https://doi.org/10.1177/0962280212446326) within INLA. If I understand correctly, the original model was implemented in an MCMC framework to allow for the variable placement of disease incidence in a sampling region using a multinomial distribution, to account for the lack of exact location information.

I was wondering if this step could be similarly achieved by calculating the count per grid cell as described in Li et al (Count/intersections), and then applying the "xpoisson" family instead of the "poisson" to account for the resulting non-integer response? This would similarly spread the potential incidence of disease across the sampling area, but I was unsure if the change in data augmentation/distribution choice would violate assumptions of the LGCP.

I appreciate any guidance, thank you!
Matt

INLA help

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Jan 15, 2026, 10:06:42 AM (4 days ago) Jan 15
to R-inla discussion group, Matthew Gonnerman
Please take a look at

https://arxiv.org/abs/2502.10584

And other reports by Finn.L.

Which I think is what you want. Otherwise,  there are works by 

https://arxiv.org/search/?query=Paula+Moraga&searchtype=all&source=header

On disaggregation.



Haavard Rue
HelpDesk 
help@r-inla. org
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