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Fig 1.

Population distribution map at residential building scale in 15 communities of Xuanzhou District.

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Fig 2.

Location expression level of patches expressing the same actual residential land.

(a) Two actual residential land patches named A1 and A2; (b) Two population raster patches named B1 and B2 based on population distribution raster data with 40m grid size; (c) A population raster patches based on population distribution raster data with 100m grid size; (d) A population raster patches based on population distribution raster data with 200m grid size; C, D, E, F, and G are grid cells’ names.

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Fig 3.

The variation of CM as the grid cell size increases.

The red dots refer to the absolute value of relative change rate from one grid size to its previous grid size on the CM index.

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Fig 4.

The variation of SIR as the grid cell size increases.

The red dots refer to the absolute value of relative change rate from one grid size to its previous grid size on the SIR index.

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Fig 5.

The variation of SDPD as the grid cell size increases.

The red dots refer to the absolute value of relative change rate from one grid size to its previous grid size on the SDPD index.

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Fig 6.

The variation of PDI as the grid cell size increases.

The red dots refer to the absolute value of relative change rate from one grid size to its previous grid size on the PDI index.

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Fig 7.

The variation of ALV as the grid cell size increases.

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Fig 8.

The partial map of population distribution raster data on different grid scale.

(a) The spatial distribution of population at residential building patches scale; (b)~(i) The spatial distribution of population at 5m, 10m, 20m, 30m, 40m, 50m, 100m, and 200m grid cell, respectively.

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Fig 9.

The max population density of population distribution raster data on different grid scale.

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Fig 10.

The preliminary and final results of suitable grid size with five indexes.

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Fig 11.

The numerical accuracy assessment about suitable grid size.

(a) The spatial distribution of verification residential quarters; (b) The average absolute value of relative errors on different grid scale.

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