Class SpatialInteraction

java.lang.Object

org.episteme.social.geography.SpatialInteraction

public final class SpatialInteraction
extends Object

Utility for modeling spatial interaction, migration flows, and urban gravitation.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Quantity<Length>	calculateBreakingPoint(Quantity<Length> distance, double p1, double p2)	Reilly's Law of Retail Gravitation: breaking point between two market areas.
static Real	calculateGravityIntensity(double p1, double p2, Quantity<Length> distance, double beta)	Gravity Model for interactions between two locations.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

calculateGravityIntensity

public static Real calculateGravityIntensity(double p1,
 double p2,
 Quantity<Length> distance,
 double beta)

Gravity Model for interactions between two locations. I = (P1 * P2) / dist^beta

Parameters:

p1 - population of start location

p2 - population of end location

distance - distance between them

beta - friction coefficient (distance decay)

Returns:

interaction intensity

calculateBreakingPoint

public static Quantity<Length> calculateBreakingPoint(Quantity<Length> distance,
 double p1,
 double p2)

Reilly's Law of Retail Gravitation: breaking point between two market areas.

Parameters:

distance - distance between centroids

p1 - population of center 1

p2 - population of center 2

Returns:

breaking point distance from center 1