| α0 | Baseline concentration |
| Ca | Calcium concentration (samples) |
| Mg | Magnesium concentration (samples) |
| Cr | Chromium concentration (samples) |
| ɛ | Joint error of analysis and sampling for valid observations |
| i | Index for grid cells |
| jlow | Index for low observations (in a given grid cell) |
| jvalid | Index for valid observations (in a given grid cell) |
| λi | The local spatial random effect |
| mi | Number of neighbors for a grid cell i |
| μi | Mean of all observations in a grid cell i; interpolated concentration ≡ exp(μi) |
| μɛi,jvalid | Mean of all observations in a grid cell i including measurement error term for a valid observation jvalid |
| μɛi,jlow | Mean of all observations in a grid cell i including error probability distribution for a low observation jlow |
| τ | Common precision for the log-normal distributions in each grid cell |
| τCAR | Overall spatial precision |
| τi,jvalid | Measurement error precisions of valid observations |
“Observations” is defined here as Ca, Mg, or Cr.