deterrence_function: Calculates the deterrence function

Description Usage Arguments Details Value Author(s) References

Description

Calculates the deterrence function used for the different gravity based models

Usage

1
2
deterrence_function(cij, beta, type = "exponential", alpha = 4,
  gamma = 1)

Arguments

cij

a matrix containing the cost matrix

beta

the distance decay factor

type

the family of deterrence function to use

alpha

shape parameter 1 for ariadne type deterrence function

gamma

shape parameter 2 for ariadne type deterrence function

Details

Power is generally used for simple gravity models, exponential and ariadne can be used for the Rihll-Wilson model. alpha and gamma are only relevant for the ariadne type model and default to the values alpha=4 and gamma=1 like in Evans&Rivers 2017.

Value

a matrix containing the deterrence function

Author(s)

Daniel Knitter knitter@geographie.uni-kiel.de

Martin Hinz martin.hinz@iaw.unibe.ch

Benedikt Grammer benedikt.grammer@univie.ac.at

Kai Radloff kai.radloff@hu-berlin.de

Loren V. Cowin Lcowin@gshdl.uni-kiel.de

Clara Filet clara.filet@gmail.com

References

Evans Tim S., Rivers Ray J., Was Thebes Necessary? Contingency in Spatial Modeling. Frontiers in Digital Humanities 4, 2017, https://doi.org/10.3389/fdigh.2017.00008


CRC1266-A2/moin documentation built on May 7, 2019, 8:56 p.m.