Distance Matrix

Video 1 : Generation of the Distance Matrix

Module Description

Calculate a distance vector(matrix) between any Geographically Weigthed (GW) model calibration point(s) and the data points.

Argument

Focus: an integer, indexing to the current GW model point, if focus=0, all the distances between all the GW model calibration points and data points will be calculated and a distance matrix will be returned; if 0<focus<length(number of data points), then the distances between the ’focus’th GW model points and data points will be calculated and a distance vector will be returned

Power: the power of the Minkowski distance,default is 2, i.e. the Euclidean distance.

Figure 1. Minkowski distance

Figure 1. Minkowski distance

Theta (Angle in radians) : an angle in radians to rotate the coordinate system, default is 0

longlat : if TRUE, great circle distances will be calculated

Value

After loading data, to generate the distance matrix, you must select the appropriate arguments (focus, power, and theta, longlat) and click on the Run button.

Returns a numeric distance matrix or vector (if focus > 0); matrix with its rows corresponding to the observations and its columns corresponds to the GW model calibration points.

References

Gollini, I., Lu, B., Charlton, M., Brunsdon, C., & Harris, P. (2015). GWmodel: An R Package for Exploring Spatial Heterogeneity Using Geographically Weighted Models. Journal of Statistical Software, 63(17), 1–50. https://doi.org/10.18637/jss.v063.i17