Skip to content

Latest commit

 

History

History
68 lines (47 loc) · 2.12 KB

slides_F_iii.md

File metadata and controls

68 lines (47 loc) · 2.12 KB

Geographic Data Science

Global Spatial Autocorrelation [Dani Arribas-Bel](http://darribas.org)

Global Spatial Autocorr.

Global Spatial Autocorr.

"Clustering"

Overall trend where the distribution of values follows a particular pattern over space

**[Positive]** Similar values close to each other (high-high, low-low) **[Negative]** Similar values far from each other (high-low) How to measure it???

Moran Plot

  • Graphical device that displays a variable on the horizontal axis against its spatial lag on the vertical one
  • Variable and spatial weights matrix are preferably standardized
  • Asssessment of the overall association between a variable in a given location and in its neighborhood

IMD Choropleth IMD Moran Plot

Moran's I

Formal test of global spatial autocorrelation

Statistically identify the presence of clustering in a variable

Slope of the Moran plot

Inference based on how likely it is to obtain a map like observed from a purely random pattern

<script type="math/tex; mode=display"> I = \dfrac{N} {\sum_{i} \sum_{j} w_{ij}} \dfrac {\sum_{i} \sum_{j} w_{ij}(Z_i) (Z_j)} {\sum_{i} (Z_i)^2} </script>

Creative Commons License
A course on Geographic Data Science by Dani Arribas-Bel is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.