2 $${p}_{i,t}=\frac{1}{n}\sum \limits_{x=1}^n{b}_{x,t-1}\left[\ln \left(\frac{\alpha_p}{1-{\alpha}_p}\right)\right]$$ pi,t is the increment or reduction of person i’s intention in week t due to the behavior of the proximal network, n is the number of people in the proximal network, bx,t-1 is the behavior of person x in the proximal network in week t-1, and αp is the conditional likelihood that people in the proximal network will practice LTPA if it is the best option (i.e., their act reflects the best thing to do)
3 $${c}_{i,t}=\frac{1}{n}\sum \limits_{x=1}^n{b}_{x,t-1}\left[\ln \left(\frac{\alpha_c}{1-{\alpha}_c}\right)\right]$$ ci,t is the increment or reduction of person i’s intention in week t due to the behavior of the perceived community, n is the number of people in perceived community, bx,t-1 is the behavior of person x in the perceived community in week t-1, and αc is the conditional likelihood that people in the perceived community will practice LTPA if it is the best option
4 $${l}_{i,t}={b}_{i,t-1}\left[\ln \left(\frac{\alpha_b}{1-{\alpha}_b}\right)\right]$$ li,t is the increment or reduction of person i’s intention in week t due to his previous behavior, bi,t-1 is the behavior of person i in week t-1, and αb is the conditional probability that a person will practice LTPA if it is the best option
5 $${w}_{i,t}=1-\frac{\left|{i}_{i,t-1}\right|}{\ln \left(\frac{0.97}{0.03}\right)}$$ wi,t represents the intention strength of person i in week t, ii,t-1 is the person i’s intention in week t-1
6 $${y}_{h,i}=\left[\ln \left(\frac{u_{h,i}}{1-{u}_{h,i}}\right)\right]\frac{1}{r}$$ yh,i is the log-odds of the highest perceived utility (uh,i), r is a scaling factor (set by the modeler, 100 in this work) to re-scale the magnitude of the built environment’s influence
7 $${i}_{i,t}={i}_{i,t-1}+{w}_{i,t}\left({p}_{i,t}+{c}_{i,t}+{l}_{i,t}+{y}_{h,i}\right)$$ ii,t is the level of intention of person i in week t 