Reframing Spatial Uncertainty Visualisation with a Layered Grammar of Graphics

Communicating both estimated values and their associated uncertainties presents a particular challenge in spatial visualisation because spatial coordinates already occupy the primary visual channels, leaving relatively few channels available for encoding uncertainty alongside the estimated values. A range of visualisation techniques has been developed to address this challenge, including bivariate choropleth maps, pixel maps, and glyph maps. However, existing implementations typically treat these techniques as dedicated visualisations rather than expressing them through the composable elements of a grammar of graphics. We reframe uncertainty visualisation as an extension of the layered grammar of graphics, allowing uncertainty-specific representations to be composed, customised, and extended alongside other graphical components. We demonstrate this perspective by integrating uncertainty visualisation into the layered architecture of ggplot2, accommodating these techniques while also motivating new approaches such as the dual map for selective attention between estimated values and their associated uncertainties. We implement the framework in the R package ggincerta and demonstrate its application through three case studies.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-29
DOI
https://doi.org/10.48550/arxiv.2610.40258
Primary Topic
Data Visualization and Analytics
Type
preprint
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preprint

Reframing Spatial Uncertainty Visualisation with a Layered Grammar of Graphics

Emi Tanaka, Francis Hui, Maggie Xueqi Ma, Quan Vu et al.
arXiv (Cornell University)
Data Visualization and Analytics
preprint

Reframing Spatial Uncertainty Visualisation with a Layered Grammar of Graphics

Emi Tanaka, Francis Hui, Maggie Xueqi Ma, Quan Vu, Weihao Li
preprint en

Abstract

Communicating both estimated values and their associated uncertainties presents a particular challenge in spatial visualisation because spatial coordinates already occupy the primary visual channels, leaving relatively few channels available for encoding uncertainty alongside the estimated values. A range of visualisation techniques has been developed to address this challenge, including bivariate choropleth maps, pixel maps, and glyph maps. However, existing implementations typically treat these techniques as dedicated visualisations rather than expressing them through the composable elements of a grammar of graphics. We reframe uncertainty visualisation as an extension of the layered grammar of graphics, allowing uncertainty-specific representations to be composed, customised, and extended alongside other graphical components. We demonstrate this perspective by integrating uncertainty visualisation into the layered architecture of ggplot2, accommodating these techniques while also motivating new approaches such as the dual map for selective attention between estimated values and their associated uncertainties. We implement the framework in the R package ggincerta and demonstrate its application through three case studies.

arXiv (Cornell University)
Data Visualization and Analytics
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Reframing Spatial Uncertainty Visualisation with a Layered Grammar of Graphics — Emi Tanaka, Francis Hui, et al. · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS