Models of Trip Distribution
We develop methods to estimate trip distributions based on distribution of populations and facilities only. This has impact in models of epidemic spreading and benefit regions that lack of census information to callibrate distribution of trips.
Figure: The right section of the figure shows one sample OD pair in each region with similar mi, ni, nj and sij values. But the distance between Los Angeles and Lake Havasu City is much longer than the distance between Seattle and Wenetchee, which makes its commuting flow volume much smaller. This effect of distance is taken into consideration by the difference in the alpha value. For the southern region alpha= 5 while for the northern one alpha= 1.6. The grey regions are combined statistical areas which usually include one or more populated metropolitan areas.
Source: Limits of Predictability in Commuting Flows in the Absence of Data for Calibration , Submitted to Scientific Reports, 2014. [pdf]
Predicting commuter flows in spatial networks using a radiation model based on temporal ranges (Yihui Ren, Maria Ercsey-Ravasz, Pu Wang, Marta C. Gonzalez & Zoltan Toroczkai), Nature Communications, in press, 2014.