We use out-flow to calculate the social lag of node i.
The intuition is that the source (home) node_i have outgoing flow to several nearby destinations (work place). These work flow will definitely go back to the node_i. This represents the influence from work place on home location.
Therefore the key is to use out flow to construct the social flow.
Previous wrong method
Previously, I always use in flow j -> i to propagate crime into node i. When normalize by source, the j -> i flow is normalized by the total out-going flow of j.
We should notice that j ->i does not equal to i -> j.
In a social science setting, the i -> j flow is more intriguing.
What is normalization by source?
We use out-flow to calculate the social lag of node i.
The intuition is that the source (home) node_i have outgoing flow to several nearby destinations (work place). These work flow will definitely go back to the node_i. This represents the influence from work place on home location.
Therefore the key is to use out flow to construct the social flow.
Previous wrong method
Previously, I always use in flow
j -> i
to propagate crime into nodei
. When normalize by source, thej -> i
flow is normalized by the total out-going flow ofj
.We should notice that
j ->i
does not equal toi -> j
.In a social science setting, the
i -> j
flow is more intriguing.