Decomposition of multivariate spatial data into latent factors

2021 ◽  
Vol 153 ◽  
pp. 104773
Author(s):  
Felipe Cabral Pinto ◽  
Johnathan G. Manchuk ◽  
Clayton V. Deutsch
2019 ◽  
Vol 22 (5) ◽  
pp. 897-912 ◽  
Author(s):  
Xiangyang He ◽  
Yubo Tao ◽  
Qirui Wang ◽  
Hai Lin

Biostatistics ◽  
2018 ◽  
Vol 20 (3) ◽  
pp. 468-484 ◽  
Author(s):  
Rachel C Nethery ◽  
Dale P Sandler ◽  
Shanshan Zhao ◽  
Lawrence S Engel ◽  
Richard K Kwok

SummaryWith the threat of climate change looming, the public health community has an interest in identifying communities at the highest risk of devastation based not only on geographic features but also on social characteristics. Indices of community social vulnerability can be created by applying a spatial factor analysis to a set of relevant social variables measured for each community; however, current spatial factor analysis methodology is ill-equipped to handle spatially misaligned data. We introduce a joint spatial factor analysis model that can accommodate spatial data from two distinct partitions of a geographic space and identify a common set of latent factors underlying them. By defining the latent factors over the intersection of the two partitions, the model minimizes loss of information. Using simulated data constructed to mimic the spatial structure of our real data, we confirm the reliability of the model and demonstrate its superiority over competing ad hoc methods for dealing with misaligned data in spatial factor analysis. Finally, we construct an index of community social vulnerability for each census tract in Louisiana, a state prone to environmental disasters, which could be exacerbated by climate change, by applying the joint spatial factor analysis model to a set of misaligned social indicator data from the state. To demonstrate the utility of this index, we integrate it with Louisiana flood insurance claims data to identify communities that may be at particularly high risk during natural disasters, based on both social and geographic features.


2006 ◽  
Vol 5 (2) ◽  
pp. 112-124 ◽  
Author(s):  
Camilla Forsell ◽  
Stefan Seipel ◽  
Mats Lind

We present a first effort to evaluate the possible utility of a new type of surface glyphs intended for visualizations of multivariate spatial data. The glyphs are based on results from vision research suggesting that our perception of metric 3D structure is distorted and imprecise relative to the actual scene before us; only a class of qualitative properties of the scene is perceived with accuracy. These properties are best characterized as being invariant over affine but not Euclidean transformations. A large number of possible 3D glyphs for the visualization of spatial data can be constructed using such properties. One group of such glyphs is based on the local sign of surface curvature. We investigated this group in two visualization experiments. The results show that available sources of 3D structural information were sufficient for our subjects to make fast and accurate judgments. Some implications for visualization are also discussed.


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