Hello Farida,
I hope this explanation is useful:
"Integration measures the distance from each spatial element to all others in a system (up to a certain radius and given a definition of distance), and so corresponds to mathematical closeness. Choice measures the quantity of movement that passes through each spatial element on shortest or simplest trips between all pairs of spatial elements in a system (again up to a certain radius and given a definition of distance), and so corresponds to mathematical betweenness. We often say that integration represents the to-movement potential of a space, and choice the through-movement potential, pointing out also that the two measures correspond to the two basic elements in any trip: selecting a destination from an origin (integration), and choosing a route, and so the spaces to pass through between origin and destination (choice)."
It is part of the paper named "Normalising least angle choice in Depthmap and how it opens up new perspectives on the global and local analysis of city space" by Bill Hillier, Tao Yang, and Alasdair Turner.
Best regards,
Ignacio Jara
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