On behalf of my co-authors, I'm happy to announce that our new paper on joint 
spatial modeling has just been published.

Bokgyeong Kang, Erin M Schliep, Alan E Gelfand, Christopher W Clark, Christine 
A Hudak, Charles A Mayo, Ryan Schosberg, Tina M Yack, Robert S Schick, Joint 
spatiotemporal modelling of zooplankton and whale abundance in a dynamic marine 
environment, Journal of the Royal Statistical Society Series C: Applied 
Statistics, 2025;, qlaf038, https://doi.org/10.1093/jrsssc/qlaf038

Abstract
North Atlantic right whales are an endangered species. Their entire population 
is estimated to be approximately 372 individuals, and they are subject to major 
anthropogenic threats. They feed on zooplankton species whose distribution 
shifts in a dynamic and warming oceanic environment. Because right whales in 
turn follow their shifting food resource, it is necessary to jointly study the 
distribution of whales and their prey. The innovative joint species 
distribution modelling (JSDM) contribution here is different from anything in 
the large JDSM literature, reflecting the processes and data we have to work 
with. Specifically, our JSDM supplies a geostatistical model for the expected 
amount of zooplankton collected at a site. We require a point pattern model for 
the intensity of right whale abundance. The two process models are linked 
through a latent conditional-marginal specification. Furthermore, each species 
has two data sources informing its respective distribution, necessitating a 
novel data fusion approach. The result is a complex multi-level model. Through 
simulation, we demonstrate that our joint specification effectively identifies 
model unknowns and improves the estimation of species distributions compared to 
modelling them separately. We then apply our model to real data from Cape Cod 
Bay, Massachusetts, USA.

Keywords: data fusion, geostatistical model, hierarchical model, joint species 
distribution, measurement error, point pattern data

Rob Schick, PhD
Senior Scientist
Southall Environmental Associates, Inc.


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