Embedded Files
- Source Code for Location Model Same Income (542 KB)
- Shapefile (18 KB)
The same data file and model (see Location Model Same Income model for further details) was used as in the Effects of Space and Income section. The only parameter that was changed was the size of the small area (see localNeighbourhoodSpacingInMeters field and getLocalSpacing method in LocationModel class) and small neighbourhood, (see searchRes and searchEmp fields and getSearchRes and getSearchEmp methods in LocationModel class) from 50m to 200m, incremented at 25m intervals.
Figure 1 highlights the typical spatial distribution of agents using different neighbourhood sizes at 100 iterations of the model. As highlighted in the Effects of Space and Income section, by 100 iterations the spatial distribution of agents remains roughly constant. Animations of these model runs can be seen below. One thing that is immediately noticeable is the clustering of agents. The larger the neighbourhood, the more dispersed the agents’ are, occupying a larger area of the available environment. Table 1 presents the average number of zones that are unoccupied at different time intervals for different neighbourhood sizes where increasing the neighbourhood size results in less unoccupied areas. This changing spatial distribution of agents with varying small area sizes is similar to the effect of changing neighbourhood sizes seen in the segregation model (see the results in the Size of Neighbourhoods from the basic segregation model). It is a result of aggregating individuals into larger areas which smooths out the variation.
Figure 1: Representative model runs highlighting the effect of different neighbourhood sizes on the pattern of land-use at 100 iterations.
Table 1: Average number of empty areas for different small neighbourhoods over 100 iterations.
Using the same simulations presented in Figure 1, trend lines for income (Figure 2) and space (Figure 3) are presented with respect to distance from the centre for different size neighbourhoods (note that the locations of individual agents are not displayed nor have the trend lines been extended due to the need for clarity). Both allow one to see the effect different neighbourhood sizes have on the distribution of agents. Figure 2 highlights that while groups have similar spatial niches within the environment, the effect of neighbourhood sizes result in different trend lines. The larger the small area, the shallower the slope of distance and income which relates to the total amount of space the agents occupy. The larger the small area, the more space the agents consume with regard to the urban environment. Figure 3 highlights that agents who need to be satisfied with more space, are forced out of the city centre which is the most accessible area, especially when the size of the small area increases.
Figure 2: Linear trend lines for income against distance from the centre, broken down by different agent groups and different size areas (from 200 to 50m) at step 100.
Figure 3: Linear trend lines for space wanted against distance from the centre, broken down by different agent groups and different size areas (from 200 to 50m) at step 100.
A sample of animations highlighting the effect of different neighbourhood sizes on the pattern of land-use pattern.
A sample of animations highlighting the effect of different neighbourhood sizes on the pattern of land-use pattern.
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