radiationWithSelection: Radiation with selection model

In SEEG-Oxford/movement: Modelling and Analysing Human Movement Data

Radiation with selection model

Description

The aim of this index is to represent travel from districts between the affected countries to other districts within the core countries. We assume that travel between districts is determined by factors such as population and distance. The radiation model with selection is defined as:

T_{ij} = \frac{\frac{1 - \lambda^{P}}{P} - \frac{1 - \lambda^{Q}}{Q}}{\frac{1 - \lambda^{R}}{R}}

where P is the population at the origin and Q at the destination, R denotes the total population in a radius \gamma around population centres P_i and Q_j. The radiation model with selection was fitted using a set of known between district (n = 329) movements from mobile phone users from France in 2007 (Tizzoni et al. 2014). The model was then used to build a movement matrix between all districts of the core countries. District level population data were extracted using WorldPop. District level administrative boundaries were downloaded from GADM.

Usage

radiationWithSelection(theta = 0.1, lambda = 0.2)

Arguments

theta	Model parameter with default value and the limits theta = [0, Inf].
lambda	Model parameter with default value and the limits lambda = [0,1].

Value

A flux model object with the radiation with selection flux function and a set of starting parameters.

Note

Limits 0 and Inf will be changed internally to the numerically safe approximations 0 -> sqrt(.Machine$double.eps) and Inf -> sqrt(.Machine$double.xmax), respectively.

References

Simini, F., Gonzalez, M.C., Maritan, A. & Barabasi, A.-L. (2012). A universal model for mobility and migration patterns. Nature, 484, 96-100. Simini, F., Maritan, A. & Neda, Z. (2013). Human mobility in a continuum approach. PLoS One, 8, e60069. Tizzoni, M., Bajardi, P., Decuyper, A., Kon Kam King, G., Schneider, C.M., Blondel, V., et al. (2014). On the Use of Human Mobility Proxies for Modeling Epidemics. PLoS Comput. Biol., 10, e1003716.

See Also

movement, originalRadiation, uniformSelection, interveningOpportunities, gravity, gravityWithDistance

SEEG-Oxford/movement documentation built on April 17, 2023, 4:17 p.m.