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Space, Density
and Urban Form
KTH, 27 October 2011
META BERGHAUSER PONT
75 dwellings per hectare   75 dwellings per hectare   75 dwellings per hectare
40 dwellings per hectare




50 dwellings per hectare




60 dwellings per hectare
Grachtengordel   Jordaan
Density of Amsterdam
Amsterdam
  1650




Footprint
m2/inh

 160



 140



 120



 100        Density
            inh/ha


  80          600

              500
  60                                                                  (predominately) housing fabrics
              400
                                                                      parks
  40          300
                                                                      sports facilities
              200                                                     garden allotments
  20
              100                                                     cemeteries

                                                                      industrial and office areas
  0             0
                     1400   1500   1600   1700   1800   1900   2000
Amsterdam
  1880




Footprint
m2/inh

 160



 140



 120



 100        Density
            inh/ha


  80          600

              500
  60                                                                  (predominately) housing fabrics
              400
                                                                      parks
  40          300
                                                                      sports facilities
              200                                                     garden allotments
  20
              100                                                     cemeteries

                                                                      industrial and office areas
  0             0
                     1400   1500   1600   1700   1800   1900   2000
Amsterdam
  1900




Footprint
m2/inh

 160



 140



 120



 100        Density
            inh/ha


  80          600

              500
  60                                                                  (predominately) housing fabrics
              400
                                                                      parks
  40          300
                                                                      sports facilities
              200                                                     garden allotments
  20
              100                                                     cemeteries

                                                                      industrial and office areas
  0             0
                     1400   1500   1600   1700   1800   1900   2000
Amsterdam
  1939




Footprint
m2/inh

 160



 140



 120



 100        Density
            inh/ha


  80          600

              500
  60                                                                  (predominately) housing fabrics
              400
                                                                      parks
  40          300
                                                                      sports facilities
              200                                                     garden allotments
  20
              100                                                     cemeteries

                                                                      industrial and office areas
  0             0
                     1400   1500   1600   1700   1800   1900   2000
Amsterdam
  1958




Footprint
m2/inh

 160



 140



 120



 100        Density
            inh/ha


  80          600

              500
  60                                                                  (predominately) housing fabrics
              400
                                                                      parks
  40          300
                                                                      sports facilities
              200                                                     garden allotments
  20
              100                                                     cemeteries

                                                                      industrial and office areas
  0             0
                     1400   1500   1600   1700   1800   1900   2000
Amsterdam
  1984




Footprint
m2/inh

 160



 140



 120



 100        Density
            inh/ha


  80          600

              500
  60                                                                  (predominately) housing fabrics
              400
                                                                      parks
  40          300
                                                                      sports facilities
              200                                                     garden allotments
  20
              100                                                     cemeteries

                                                                      industrial and office areas
  0             0
                     1400   1500   1600   1700   1800   1900   2000
Amsterdam
  2000




Footprint
m2/inh

 160



 140



 120



 100        Density
            inh/ha


  80          600

              500
  60                                                                  (predominately) housing fabrics
              400
                                                                      parks
  40          300
                                                                      sports facilities
              200                                                     garden allotments
  20
              100                                                     cemeteries

                                                                      industrial and office areas
  0             0
                     1400   1500   1600   1700   1800   1900   2000
Average occupation rate (inhabitants per dwelling unit) (G.W.B.)                    Urban footprint (m2 of city space per inhabitant)




         1876:   30 m 2             1926:   50 m 2                 1958:   80 m 2                        1998:   120 m 2
Raymond Unwin (1909):

“Nothing gained by overcrowding!”




Unwin: < 12 dwellings per acre

Hoenig: spaciousness of at least 1
Raymond Unwin (1909):                Jane Jacobs (1961):

“Nothing gained by overcrowding!”    “American slums are not only an issue faced in the inner
                                     cities, but also in the low-density, dull areas in the fringes”



Unwin: < 12 dwellings per acre       Jacobs: > 100 dwellings per acre

Hoenig: spaciousness of at least 1                   coverage over 60%
Urban Density and Energy Consumption

 Urban Density
 inhabitants per hectare




 Urban Footprint
 m2 per inhabitant
Measuring Density
Density Measures   Year   Use   Norm
Density Measures   Year   Use   Norm
Density Measures   Year   Use   Norm
Density Measures   Year   Use   Norm
Density Measures   Year   Use   Norm
75 dwellings per hectare   75 dwellings per hectare   75 dwellings per hectare
FSI =   1.90   FSI =   1.90   FSI =   1.90




                                                  N



                                             40       200
GSI =   0.25   GSI =   0.25   GSI =   0.25




                                                  N



                                             40       200
OSR=   1.00   OSR=   1.00   OSR=   1.00




                                               N



                                          40       200
L=   3   L=   3   L=   3




                                N



                           40       200
FSI   1.00
GSI 1.00
L     1.00
OSR 0.00




1            2            3            4
FSI   1.00   FSI   1.00   FSI   1.00   FSI   1.00
GSI 1.00     GSI 0.50     GSI 0.33     GSI 0.25
L     1.00   L     2.00   L     3.00   L     4.00
OSR 0.00     OSR 0.50     OSR 0.67     OSR 0.75
known   sought

FSI     L=FSI/GSI
GSI     OSR=(1-GSI)/FSI


FSI     GSI=FSI/L
L       OSR=1/FSI-1/L


FSI     GSI=1-FSI*OSR
OSR     L=1/(1/FSI-OSR)


GSI     FSI=GSI*L
L       OSR=(1/L)*(1/GSI-1)


GSI     FSI=(1-GSI)/OSR
OSR     L=(1/GSI-1)/OSR


L       FSI=1/(OSR+1/L)
OSR     GSI=1/(L*OSR+1)
4     3             2           1




1            2            3            4
FSI   1.00   FSI   1.00   FSI   1.00   FSI   1.00
GSI 1.00     GSI 0.50     GSI 0.33     GSI 0.25
L     1.00   L     2.00   L     3.00   L     4.00
OSR 0.00     OSR 0.50     OSR 0.67     OSR 0.75
3
            2

    1




1       2           3




                             N



                        40       200
1       2   3




1       2           3




                             N



                        40       200
3
            2   1




1   2               3




                             N



                        40       200
3
                               2   1




  1              2                      3
      130


                     180                150

220
                                   65

            70




                                                   N



                                              40       200
Network density




1        2            3




                               N



                          40       200
3                       2
                2               3
                        1


                                                    1




1                   2                   3
N = 0.012           N = 0.021           N = 0.023
b = 32.1            b = 14.4            b = 18.0
T = 0.35            T = 0.28            T = 0.37




                                                         N



                                                    40       200
Floor Space Index (FSI)
FSIx=Fx/Ax                                                    where

Fx = gross floor area (m2)
Ax = area of aggregation x (m2)
x = aggregation (lot (l), island (i), fabric (f), or district (d))




Ground Space Index (GSI)
GSIx=Bx/Ax                                                    where

Bx = footprint of (m2)
Ax = area of aggregation x (m2)
x = aggregation (lot (l), island (i), fabric (f), or district (d))




Network Density (N)
Nx=(Σli+(Σle)/2)/Ax                                           where

li = length of interior network (m)
le = length of edge network (m)
Ax = area of aggregation x (m2)
Floor Space Index (FSI)
FSIx=Fx/Ax                                                    where

Fx = gross floor area (m2)
Ax = area of aggregation x (m2)
x = aggregation (lot (l), island (i), fabric (f), or district (d))




Ground Space Index (GSI)
GSIx=Bx/Ax                                                    where

Bx = footprint of (m2)
Ax = area of aggregation x (m2)
x = aggregation (lot (l), island (i), fabric (f), or district (d))




Network Density (N)
Nx=(Σli+(Σle)/2)/Ax                                           where

li = length of interior network (m)
le = length of edge network (m)
Ax = area of aggregation x (m2)
Building Height (L)




Open Space Ratio (OSR)




Tare (T)
Urban types and
Density
Performance of
Density
Parking Performance
Daylight Performance
                                             Kowloon City (Hong Kong)
FSI



                                                               DPI 10%




           DPI 25%




                                                    Ciutat Vella (Barcelona)

           DPI 50%




                                             Jordaan (Amsterdam)



           DPI 100%   Siemenstadt (Berlin)




                                                                    GSI
A3




          A2


B3   B2        B1


          A1
‘Urbanity’
Representing Urban Types
Case Rotterdam
FSI




      GSI
MXI
Density




          Integration
Density




          Integration
Stadionpark
Feijenoord
Stadshavens
Open Source Database
SpaceCalculator: http://www.permeta.nl/spacemate/index2.html


Amsterdam: http://www.gisdro.nl/FUNCTIEMIX/
SPACEMATE® Presentation | KTH 27 October 2011

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SPACEMATE® Presentation | KTH 27 October 2011

  • 1. Space, Density and Urban Form KTH, 27 October 2011 META BERGHAUSER PONT
  • 2. 75 dwellings per hectare 75 dwellings per hectare 75 dwellings per hectare
  • 3. 40 dwellings per hectare 50 dwellings per hectare 60 dwellings per hectare
  • 4. Grachtengordel Jordaan
  • 6. Amsterdam 1650 Footprint m2/inh 160 140 120 100 Density inh/ha 80 600 500 60 (predominately) housing fabrics 400 parks 40 300 sports facilities 200 garden allotments 20 100 cemeteries industrial and office areas 0 0 1400 1500 1600 1700 1800 1900 2000
  • 7. Amsterdam 1880 Footprint m2/inh 160 140 120 100 Density inh/ha 80 600 500 60 (predominately) housing fabrics 400 parks 40 300 sports facilities 200 garden allotments 20 100 cemeteries industrial and office areas 0 0 1400 1500 1600 1700 1800 1900 2000
  • 8. Amsterdam 1900 Footprint m2/inh 160 140 120 100 Density inh/ha 80 600 500 60 (predominately) housing fabrics 400 parks 40 300 sports facilities 200 garden allotments 20 100 cemeteries industrial and office areas 0 0 1400 1500 1600 1700 1800 1900 2000
  • 9. Amsterdam 1939 Footprint m2/inh 160 140 120 100 Density inh/ha 80 600 500 60 (predominately) housing fabrics 400 parks 40 300 sports facilities 200 garden allotments 20 100 cemeteries industrial and office areas 0 0 1400 1500 1600 1700 1800 1900 2000
  • 10. Amsterdam 1958 Footprint m2/inh 160 140 120 100 Density inh/ha 80 600 500 60 (predominately) housing fabrics 400 parks 40 300 sports facilities 200 garden allotments 20 100 cemeteries industrial and office areas 0 0 1400 1500 1600 1700 1800 1900 2000
  • 11. Amsterdam 1984 Footprint m2/inh 160 140 120 100 Density inh/ha 80 600 500 60 (predominately) housing fabrics 400 parks 40 300 sports facilities 200 garden allotments 20 100 cemeteries industrial and office areas 0 0 1400 1500 1600 1700 1800 1900 2000
  • 12. Amsterdam 2000 Footprint m2/inh 160 140 120 100 Density inh/ha 80 600 500 60 (predominately) housing fabrics 400 parks 40 300 sports facilities 200 garden allotments 20 100 cemeteries industrial and office areas 0 0 1400 1500 1600 1700 1800 1900 2000
  • 13. Average occupation rate (inhabitants per dwelling unit) (G.W.B.) Urban footprint (m2 of city space per inhabitant) 1876: 30 m 2 1926: 50 m 2 1958: 80 m 2 1998: 120 m 2
  • 14. Raymond Unwin (1909): “Nothing gained by overcrowding!” Unwin: < 12 dwellings per acre Hoenig: spaciousness of at least 1
  • 15. Raymond Unwin (1909): Jane Jacobs (1961): “Nothing gained by overcrowding!” “American slums are not only an issue faced in the inner cities, but also in the low-density, dull areas in the fringes” Unwin: < 12 dwellings per acre Jacobs: > 100 dwellings per acre Hoenig: spaciousness of at least 1 coverage over 60%
  • 16. Urban Density and Energy Consumption Urban Density inhabitants per hectare Urban Footprint m2 per inhabitant
  • 17.
  • 19. Density Measures Year Use Norm
  • 20. Density Measures Year Use Norm
  • 21. Density Measures Year Use Norm
  • 22. Density Measures Year Use Norm
  • 23. Density Measures Year Use Norm
  • 24. 75 dwellings per hectare 75 dwellings per hectare 75 dwellings per hectare
  • 25. FSI = 1.90 FSI = 1.90 FSI = 1.90 N 40 200
  • 26. GSI = 0.25 GSI = 0.25 GSI = 0.25 N 40 200
  • 27. OSR= 1.00 OSR= 1.00 OSR= 1.00 N 40 200
  • 28. L= 3 L= 3 L= 3 N 40 200
  • 29. FSI 1.00 GSI 1.00 L 1.00 OSR 0.00 1 2 3 4 FSI 1.00 FSI 1.00 FSI 1.00 FSI 1.00 GSI 1.00 GSI 0.50 GSI 0.33 GSI 0.25 L 1.00 L 2.00 L 3.00 L 4.00 OSR 0.00 OSR 0.50 OSR 0.67 OSR 0.75
  • 30. known sought FSI L=FSI/GSI GSI OSR=(1-GSI)/FSI FSI GSI=FSI/L L OSR=1/FSI-1/L FSI GSI=1-FSI*OSR OSR L=1/(1/FSI-OSR) GSI FSI=GSI*L L OSR=(1/L)*(1/GSI-1) GSI FSI=(1-GSI)/OSR OSR L=(1/GSI-1)/OSR L FSI=1/(OSR+1/L) OSR GSI=1/(L*OSR+1)
  • 31. 4 3 2 1 1 2 3 4 FSI 1.00 FSI 1.00 FSI 1.00 FSI 1.00 GSI 1.00 GSI 0.50 GSI 0.33 GSI 0.25 L 1.00 L 2.00 L 3.00 L 4.00 OSR 0.00 OSR 0.50 OSR 0.67 OSR 0.75
  • 32. 3 2 1 1 2 3 N 40 200
  • 33. 1 2 3 1 2 3 N 40 200
  • 34. 3 2 1 1 2 3 N 40 200
  • 35. 3 2 1 1 2 3 130 180 150 220 65 70 N 40 200
  • 36. Network density 1 2 3 N 40 200
  • 37. 3 2 2 3 1 1 1 2 3 N = 0.012 N = 0.021 N = 0.023 b = 32.1 b = 14.4 b = 18.0 T = 0.35 T = 0.28 T = 0.37 N 40 200
  • 38. Floor Space Index (FSI) FSIx=Fx/Ax where Fx = gross floor area (m2) Ax = area of aggregation x (m2) x = aggregation (lot (l), island (i), fabric (f), or district (d)) Ground Space Index (GSI) GSIx=Bx/Ax where Bx = footprint of (m2) Ax = area of aggregation x (m2) x = aggregation (lot (l), island (i), fabric (f), or district (d)) Network Density (N) Nx=(Σli+(Σle)/2)/Ax where li = length of interior network (m) le = length of edge network (m) Ax = area of aggregation x (m2)
  • 39. Floor Space Index (FSI) FSIx=Fx/Ax where Fx = gross floor area (m2) Ax = area of aggregation x (m2) x = aggregation (lot (l), island (i), fabric (f), or district (d)) Ground Space Index (GSI) GSIx=Bx/Ax where Bx = footprint of (m2) Ax = area of aggregation x (m2) x = aggregation (lot (l), island (i), fabric (f), or district (d)) Network Density (N) Nx=(Σli+(Σle)/2)/Ax where li = length of interior network (m) le = length of edge network (m) Ax = area of aggregation x (m2)
  • 40. Building Height (L) Open Space Ratio (OSR) Tare (T)
  • 41.
  • 42.
  • 43.
  • 45.
  • 46.
  • 47.
  • 48.
  • 49.
  • 52.
  • 53. Daylight Performance Kowloon City (Hong Kong) FSI DPI 10% DPI 25% Ciutat Vella (Barcelona) DPI 50% Jordaan (Amsterdam) DPI 100% Siemenstadt (Berlin) GSI
  • 54. A3 A2 B3 B2 B1 A1
  • 57. FSI GSI
  • 58.
  • 59.
  • 60.
  • 61.
  • 62.
  • 63. MXI
  • 64.
  • 65.
  • 66.
  • 67.
  • 68.
  • 69. Density Integration
  • 70.
  • 71. Density Integration
  • 72.
  • 76. Open Source Database SpaceCalculator: http://www.permeta.nl/spacemate/index2.html Amsterdam: http://www.gisdro.nl/FUNCTIEMIX/