originalRadiation: Radiation model

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

Radiation model

Description

The (original) radiation model generally assumes the rational of job selection. It follows the general rule that the number of employment opportunities in each district is proportional to its resident population, assuming full employment (people in district = jobs in district). Moreover, the individuals in each district choose the closest job to their home. Analytically the radiation model is represented by:

T_{ij} = {\frac{PQ}{(P + R) (P + Q + 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.

Usage

originalRadiation(theta = 0.9)

Arguments

theta

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

Value

A flux model object with the original radiation 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.

See Also

movement, radiationWithSelection, uniformSelection, interveningOpportunities, gravity, gravityWithDistance

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