Fig 1.
a) Comparison of the three different decay functions, Gaussian, logistic and log-logistic. b-c) Different configurations of the logistic decay function fadj(d). b) horizontal shift depending on the median and c) steepness depending on the standard deviation (SD) CDF: cumulative distribution function.
Fig 2.
Four configurations (a-d) of population locations (P1-4) and three provider locations (S1-3) within a 30min global catchment. e) shows the resulting total distance weight for distances between population and providers (see matching colours). Distances are for illustration purposes only and hence not true to scale.
Fig 3.
Shape of a) adjusted decay functions (fadj(dxy)), b) the constant decay function (fcon(dxy)) and c) the total distance decay functions (fadj(dxy)* fcon(dxy)) for the four population locations P1-4. Cp1-4 are the resulting effective catchment sizes.
Table 1.
Exact values of weights according to the adjusted decay functions fadj(dxy), the constant decay function fcon(dxy) and the total distance decay functions fadj(dxy)* fcon(dxy).
Table 2.
Metrics of the integrated FCA method for all n = 447 population locations for three global catchment sizes.
In addition, metrics are shown for population locations ‘example 1’ and ‘example 2’.
Fig 4.
Integrated FCA method applied to Berlin with a global catchment size of 30min.
In addition, results are shown for a global catchment size of 15min and 45min. Examples see text. This figure is a derivative of " RBS-LOR, Lebensweltlich orientierte Räume, Dezember 2015” by “Amt für Statistik Berlin-Brandenburg” used under CC BY 3.0 DE.
Fig 5.
Geographical distribution of parameters of the integrated FCA method (for a global catchment size Cglob = 30min).
This figure is a derivative of " RBS-LOR, Lebensweltlich orientierte Räume, Dezember 2015” by “Amt für Statistik Berlin-Brandenburg” used under CC BY 3.0 DE.
Fig 6.
Results of the iFCA, 2SFCA, E2SFCA and the M2SFCA method applied to the study area of Berlin.
This figure is a derivative of " RBS-LOR, Lebensweltlich orientierte Räume, Dezember 2015” by “Amt für Statistik Berlin-Brandenburg” used under CC BY 3.0 DE.