6.3 Distance-decay curves for population densities in the Chicago area Source: Deny sod Horton. 1970,p.280
The negative exponential appears appropriately to describe the gradient for residential population density within the area covered by a typical Western city. However, two difficulties remain. First, the descriptions of the slopes at the city margins, where urban and rural density gradients meet, must be handled. These may be modelled by compounding curves, as illustrated in Figure 6.3. A second difficulty is how best to accommodate the population density 'crater' at the centre of the city caused by the low residential (night-time) population in what is dominantly a commercial zone. One' early modification was to introduce the square of the distance from the city centre (Figure 6.2s) to give
Newling (1969) and Casetti (1967) have extended this idea to a general quadratic relationship,
6.3 Distance-decay curves for population densities in the Chicago area Source: Deny sod Horton. 1970,p.280
The negative exponential appears appropriately to describe the gradient for residential population density within the area covered by a typical Western city. However, two difficulties remain. First, the descriptions of the slopes at the city margins, where urban and rural density gradients meet, must be handled. These may be modelled by compounding curves, as illustrated in Figure 6.3. A second difficulty is how best to accommodate the population density 'crater' at the centre of the city caused by the low residential (night-time) population in what is dominantly a commercial zone. One' early modification was to introduce the square of the distance from the city centre (Figure 6.2s) to give
Newling (1969) and Casetti (1967) have extended this idea to a general quadratic relationship,
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