Ories have been when compared with the census targets for every DA, plus the more related they were, the much more precise was the synthetic population. The mathematical formulas for fitting and spatialization errors calculations are detailed in Section three.7. The higher the fitting errors, the much less correct the synthetic population was, and also the greater the spatialization errors, the significantly less precise was the synthetic population. As stated previously, the main objective was to assess the influence in the RGR’s selection on the enhanced IPU algorithm functionality to provide insights in to the best compromise among precision and accuracy. The variables had been controlled inside the identical order for all scenarios with the folks counts becoming the last variable to be fitted. The 18 scenarios have been run for the CMAs of Montreal, Toronto, and Vancouver. 3.7. Assessment Criteria Three indicators have been 6′-Sialyllactose manufacturer calculated to assess the various scenarios: census inter-resolution inconsistencies, fitting errors, and spatialization errors. These criteria are described under. As we were considering an excellent fit of households and persons, errors on both forms of agents had been integrated in the formulas. Furthermore, the indicators have been calculated per 1000 agents. They were made relative towards the quantity of agents to be able to preserve the outcomes of your three CMAs comparable, as they’ve drastically distinctive sizes of populations. Lastly, because the selection step was not deterministic [4], i.e., the synthetic population differed for every single simulation, the indicators were calculated on synthetic populations that have been averaged across 50 simulations to allow for common conclusions. 3.7.1. Census Inter-Resolution Inconsistencies As described previously, the census inter-resolution inconsistencies indicator was calculated because the sum from the absolute values with the differences amongst the observed frequency of every single variable’s category Tigecycline-d9 custom synthesis within a geographic unit plus the sum from the observed frequencies on the very same variable’s category inside the significantly less aggregate geographic units within it. As the census targets in the CMA resolution have been essentially the most trustworthy, the inter-resolution inconsistencies have been calculated relative to the CMA resolution as per the following formula: m 1 n 1 Mi,RGUj – Mi,CMA i= j= hhcountCMA ppcountCMA = exactly where(two)i denotes the ith variable category i = 1 . . . m; j denotes the jth RGU j = 1 . . . n; Mi,RGUj refers towards the observed frequency in the ith variable category within the jth RGU; Mi,CMA refers towards the observed frequency from the ith variable category within the CMA; hhcountCMA refers towards the households’ count inside the CMA; ppcountCMA refers to the people’s count in the CMA.three.7.2. Fitting Errors The fitting errors formula is comparable to the census inter-resolution inconsistencies one particular, except for the differences getting calculated involving the observed frequencies of each and every variable’s category in a geographic unit, along with the sum on the simulated frequencies in the very same variable’s category inside the much less aggregate geographic units within it. The fitting errors were calculated as follows: = m 1 n 1 mi,RGUj – Mi,CMA i= j= hhcountCMA ppcountCMA(3)ISPRS Int. J. Geo-Inf. 2021, ten,18 ofwherei denotes the ith variable category i = 1 . . . m; j denotes the jth RGU j = 1 . . . n; mi,RGUj refers for the simulated frequency from the ith variable category inside the jth RGU; Mi,CMA refers to the observed frequency with the ith variable category in the CMA; hhcountCMA refers towards the households’ count inside the CMA; ppcountCMA refers towards the people’s count within the CM.