From: Understanding the interplay between social and spatial behaviour
Activity space | Social circle | |
---|---|---|
(1) Size | \(\displaystyle C(i,t) = |AS_{i}(t)|\) | k(i,t)=|SC(i,t)| |
(2) Entropy | \(\displaystyle H_{\mathrm{AS}} (i,t) = -\sum_{j=1}^{C(i,t)}{p(j) \log p(j)}\) | \(\displaystyle H_{\mathrm{SC}}(i,t) = -\sum_{j=1}^{k(i,t)}{p(j) \log p(j)}\) |
(3) Stability | \(\displaystyle J_{\mathrm{SC}}(i,t)=\frac{|SC(i,t)\cap SC(i,t-T)|}{|SC(i,t)\cup SC(i,t-T)|}\) ^{∗} | \(\displaystyle J_{\mathrm{AS}}(i,t)=\frac{|AS(i,t)\cap AS(i,t-T)|}{|AS(i,t)\cup AS(i,t-T)|}\) ^{∗} |
(4) Rank turnover | \(\displaystyle R_{\mathrm{AS}}(i,t)=\sum_{j=1}^{N}\frac{|r(j,t) - r(j, t- T)|}{N}\) ^{†} | \(\displaystyle R_{\mathrm{SC}}(i,t)=\sum_{j=1}^{N}\frac{|r(j,t) - r(j, t- T)|}{N}\) ^{†} |