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Modelling Proximal Space in Urban Cellular Automata Ivan Blecic, Arnaldo Cecchini and Giuseppe A. Trunfio Department of Architecture and Planning - University of Sassari, Palazzo Pou Salit, Piazza Duomo 6, 07041 Alghero, Italy
Two “sources” of spatial interaction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Proximity and cellular automata Typical CA neighbourhood Used in land use modelling Map of cells’ distance  from the street network
Proximity and cellular automata ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Proximity and cellular automata ,[object Object],[object Object],[object Object]
Modelling accessibility-type proximity   ,[object Object],[object Object],Receiver cell    Sender cell R C I U Ro Rw RwS R  (Residential) 100 100  100 100 50 N/A 5 C  (Commercial) 100  100 100 50 N/A 5 I  (Industrial) 100 100 50 N/A 5 U  (Undeveloped) 150 50 N/A 5 Ro  (Road) 20 N/A  5 Rw  (Railway) 5 5 RwS  (Railway station) 5
Modelling accessibility-type proximity
Informational fields  generation phase   Land-use  dynamics phase   ,[object Object],[object Object],[object Object]
Neighbourhood effect ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Land use Signal type R C I R vicinity -0.3  (1) 0  (2) -1.5  (3) accessibility 0  (4) 1  (5) 0.5  (6) C vicinity 0  (7) -0.3  (8) -1  (9)   accessibility 1  (10) 0  (11) 0.5  (12)   I vicinity -1.5  (13) -1  (14) 0  (15)   accessibility 0.5  (16) 0.5  (17) 0.2  (18)
Example: residential potential
Transition rule “ A cell of the land use  k  is transformed into the land use  j , iff  N j  is the highest of all the cell’s transitions potentials, provided that  N j  - N k  > i k: .” (i k  can be thought of as a kind of inertia of the current land use, a minimum difference threshold for a cell to be transformed into another land use.)
Example runs Parameters Wave model Classical model Signal intensity  at origin  (  max ) 1000 1000 Cell-to-cell decay of vicinity signal 100 100 Cell-to-cell decay of accessibility signal As per Table 1 (depends on land uses) 30 (independent on land uses) Dynamic land uses interaction ( b tj  ) As per Table 2. As per Table 2. Direct influence of roads and railway stations on dynamic land-use potentials? No:the influence is  indirect , because roads and railway stations are used only to propagate dynamic land-use signals Yes, the intensity of the signal from  the most accessible  road (if present) and  the most accessible  railway station (if present) are used in the computation of dynamic land-use potentials with following  b tj :   j= R  j= C  j= I t= Road  200  200  200 t =Rw. station  50  50  50 Residential inertia (I k=res. ) 60.000 120.000 Commercial inertia (I k=com. ) 40.000 90.000 Industrial inertia (I k=. ) 40.000 90.000 Global growth trends:  (land uses added at each CA step) 40 residential 40 commercial 40 industrial 40 residential 40 commercial 40 industrial
 
 
 
 
 
 

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Modelling Proximal Space in Urban Cellular Automata

  • 1. Modelling Proximal Space in Urban Cellular Automata Ivan Blecic, Arnaldo Cecchini and Giuseppe A. Trunfio Department of Architecture and Planning - University of Sassari, Palazzo Pou Salit, Piazza Duomo 6, 07041 Alghero, Italy
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  • 3. Proximity and cellular automata Typical CA neighbourhood Used in land use modelling Map of cells’ distance from the street network
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  • 11. Transition rule “ A cell of the land use k is transformed into the land use j , iff N j is the highest of all the cell’s transitions potentials, provided that N j - N k > i k: .” (i k can be thought of as a kind of inertia of the current land use, a minimum difference threshold for a cell to be transformed into another land use.)
  • 12. Example runs Parameters Wave model Classical model Signal intensity at origin (  max ) 1000 1000 Cell-to-cell decay of vicinity signal 100 100 Cell-to-cell decay of accessibility signal As per Table 1 (depends on land uses) 30 (independent on land uses) Dynamic land uses interaction ( b tj ) As per Table 2. As per Table 2. Direct influence of roads and railway stations on dynamic land-use potentials? No:the influence is indirect , because roads and railway stations are used only to propagate dynamic land-use signals Yes, the intensity of the signal from the most accessible road (if present) and the most accessible railway station (if present) are used in the computation of dynamic land-use potentials with following b tj : j= R j= C j= I t= Road 200 200 200 t =Rw. station 50 50 50 Residential inertia (I k=res. ) 60.000 120.000 Commercial inertia (I k=com. ) 40.000 90.000 Industrial inertia (I k=. ) 40.000 90.000 Global growth trends: (land uses added at each CA step) 40 residential 40 commercial 40 industrial 40 residential 40 commercial 40 industrial
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