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William Veerbeek
                             DIN_arch
        Dura Vermeer Business Development, Hoofdorp
Department of Artificial Intelligence, Vrije Universiteit Amsterdam
1. Current Changes in Urban Development: Drivers
2. Vulnerability in the UFM context
3. Towards Vulnerability Indicators
4. Estimating Secondary Damage




5. Understanding the City from a Bottom-Up perspective
6. Urban modeling
7. Integration of Urban Models with Flood Modeling
8. Potentials
Rapidly Changing Conditions: Urban growth
e.g. urbanization:
-1800: 3% of world population lived in cities
-2000: 47% of world population lived in cities
Consequences of decentralized vs centralized planning:
find the border between The Netherlands - Belgium
Urban Conditions:

1. Increasingly Complex Conditions
2. Rapidly Changing Conditions




Halle (Ger): shrinking 25% after fall Berlin Wall
                                  Las Vegas (US): 83.3% growth in 1990-2000
Increasingly Complex Conditions:
-Stakeholders (no classic top-down organization)
-Diffuse demands (heterogenous objectives)
-interconnectedness of problems/potentials
-scattered distribution of resources
-increase of available data

(private-public demands, public-private partnership, scale independent
economies, territorial indifference, power-distribution, remote-sensing
techniques, global financial markets, etc. etc. etc.)
Rapidly Changing Conditions:
-Economical conditions
-Social conditions
-Cultural conditions
-Spatial conditions
-Climate change

(globalization, evolving technologies, instable political conditions, indi-
vidualization, natural hazards, urban sprawl, labour distribution, ener-
gy production, evolving communications, social grouping, terrorism, etc.
etc. etc.)
CLIMATE CHANGE:

1. Cyclical Change, such as the seasonal variation and longer term cycles (El Niño);
2. Trend Breaking, being systematic changes such as climate change and also chang-
es in runoff as a consequence of land use changes;
3. Increase of variability in extreme events causing uncertainty in
mean impact level.
Green (2005)
URBAN CHANGE:

1. Densification decrease of infiltration of water because of ‘paved’ urban areas: changes in
runoff (clear in Rotterdam: flash floods)
2. Building in flood prone areas Developments along river banks, Netherlands
Growth along radial axes: Chengdu, China 1991-2002 (Boston University (2002))
CONCLUSION:
1. Probability-Centered Risk Assessment NO LONGER VALID
2. Focus on impact

Question: On what knowledge can we base Project appraisal?
Gaussian probability distribution becomes questionable, potential impact is increasing
From Vulnerability to Impact Assessment

VULNERABILITY: Susceptibility to hazards
location, runoff path, landuse, urban density, morphology, main flood defense
system, building conditions, infrastructure, utility network, soil conditions,
drainage system, emergency response protocols, responsibility distribution, etc.

1. Flood system related (you guys know all about that)
2.Urban related (physical, organizational, procedural)

Need for an evaluation function: what makes systems vulnerable?
Learning from Natural Social Systems: SWARM
SWARM: On a system level, a swarm is hardly vulnerable

System properties:
1. High Degree of Redundancy (Individuals)
2. Robust
3. Adaptive Behavior
4. Resilient

Organizational Properties:
1. Decentralized (no central command)
2. Systems behavior is emergent property

allignment         cohesion            seperation
Understanding System Properties from a BOTTOM-UP perspective

1. High Degree of REDUNDANCY
Overcapacity: sub-optimal solution to a problem posed by the envrionment
:-No Exclusive Dependency on a Single Part
:-Parts offer Some Degree of Similar Functionality
:-High degree of connectivity (use a network perspective)




2. ROBUSTNESS
Emergent property resulting from a high degree of redundancy
Understanding System Properties from a BOTTOM-UP perspective

3. Adaptive Behavior
Capacity to Adjust to New Conditions

:-Parts generate New Relations
:-Parts generate New Functionality to satisfy the System’s General Aim
:-Temporal Instability needed to ‘Regenerate’




4. RESILIENCE
-META PROPERTY COVERING BOTH ROBUSTNESS AND ADAPTIVITY
Nice Story, but what does that have to do with me?

:-Understanding Residual Risk from a Systems’ Perspective
:-Thinking of Flood Protection in Terms of Resilience
:-Designing for UFM in Terms of Resilience
:-Thinking from a Bottom-Up Perspective

EXAMPLE:
Identifying & Quantifying Vulnerability Indicators
Vulnerability Indicators: Robustness of networks
Relation of Potential Impact to Infrastructural Network
1. Potential Damage (Case Study Haarlemmermeer)
REDUNDANCY IN THE INFRASTRUCTURAL NETWORK
1. Branching Factor (#connections per node)
2. Length of Edges (euclidian distance)
Too general: need for pathfinder to check for local effects!
Pathfinder: Demo Environment
1. Economical Activities (differentiated nodes initiating flow)
2. Network consisting of:
     2.1 Nodes (junctions: reguar/dangle)
     2.2 Edges (road segments with capacity)

                              2
                          !
                          (


     6
     !
     (
                                              1
         6




                                              quot;1
                                              )                                                 Legend
                     5
                                                                                                 quot;
                                                                                                 ) economical activity
                 !
                 (                                                          2
                                          4
                                                                        quot;
                                                                        )                       type
                                                                0
                                      7
                                  quot;
                                  )
             0                                                 !
                                                               (                                       Dangle
                                                                                                 !
                                                                                                 (
         quot;
         )
                                                                                                       Regular
                                                                                                 !
                                                                                                 (
                     5




                                                                                                       edges
                                                           3
                                                       quot;
                                                       )
                          3
                         !
                         (
                 6
                                                                                    0




             quot;
             )
                                                                                    5
                                                                2
                                                                                quot;
                                                                                )           8
                                                                                        quot;
                                                                                        )
                                                                    4
                                                                quot;
                                                                )                        1
                                                                                        !
                                                                                        (
                                                                        3
                                                   4
                                               !
                                               (
Pathfinder: Demo Environment
 1. Generates all possible paths from all regular nods to dangle nodes
 2. Creates General Statistics on Paths, Edge Use
 3. Assignes Nodes to Activity Nodes and Assigns Paths
 4. Calculates Flow



                                                                                                             2
                                                 FLOW STATISTICS
Amount of Nodes in   PATH STATISTICS                                                                     !
                                                                                                         (
                                                 Capacity saturation coefficient:
dBase: 7             Total amount of paths: 21
                                                                                    6
                                                 0.9505
Amount of Edges in   Average path length :                                          !
                                                                                    (
                                                 Average weighted flow per ac-
dBase: 7             2.7142856




                                                                                                                           19
                                                                                                                              96
                                                                                        95
                                                 tivityNode: 4752.5
Path list:           Longest path: 4




                                                                                                                                0.
                                                                                          05
                                                                                                                             quot;1
                                                                                                                             )




                                                                                                                                   5
                                                 Total available capacity:
-------------        Shortest path: 1                                                                5
                                                                                                 !
                                                                                                 (
                                                 50000.0                                                                 4277.2
2-0-1-3-5-           -------------                                                                                                                                2
                                                                                                                               5
                                                                                                                                                              quot;
                                                                                                                                                              )
                                                                                                                                                 0
                                                                                                                     7
                                                 --------------------------------
2-0-5-               EDGE FREQUENCIES                                                                                                          !
                                                                                                                                               (
                                                                                                                 quot;
                                                                                                                 )
                                                                                             0
                                                                                         quot;
                                                                                         )
                                                 Assigned path for node 0: 6-5-
4-1-0-5-             Total amount of edges 7




                                                                                                     0
                                                 Assigned path for node 1: 2-0-
4-1-3-5-             Edge Frequencies used in
                                                 Assigned path for node 2: 2-0-
6-5-                 Paths:                                                                                                                3
                                                                                                         3                             quot;
                                                                                                                                       )
                                                 Assigned path for node 3: 2-0-
2-0-1-3-             Edge 0: 9




                                                                                                                                                                      78
                                                                                                     !
                                                                                                     (




                                                                                                                                                                        41
                                                                                                 6




                                                                                                                                                                          .
                                                 Assigned path for node 4: 2-0-
2-0-5-3-             Edge 1: 7




                                                                                                                                                                              62
                                                                                             quot;
                                                                                             )




                                                                                                                                                                                5
                                                                                                                                               4277
                                                 Assigned path for node 5: 4-1-
4-1-0-5-3-           Edge 2: 9                                                                                                                                            5
                                                                                                                                                    .   25
                                                                                                                                                                      quot;
                                                                                                                                                                      )
                                                 Assigned path for node 6: 4-1-3-
4-1-3-               Edge 3: 7                                                                                                                                                          8
                                                                                                                                                                                    quot;
                                                                                                                                                                                    )
                                                                                                                                                     4
                                                 Assigned path for node 7: 4-1-
6-5-0-1-3-           Edge 4: 9                                                                                                                   quot;
                                                                                                                                                 )                                  1
                                                                                                                                                                                    !
                                                                                                                                                                                    (
                                                 0-5-
6-5-3-               Edge 5: 9
                                                                                                                                                             18059.5
                                                 Assigned path for node 8: 2-0-1-
2-0-1-               Edge 6: 7                                                                                                     4
                                                 --------------------------------                                              !
2-0-5-3-1-                                                                                                                     (
                                                 TOTAL FLOW of traffic/24h out-
4-1-
                                                 side region: 47525.0
6-5-0-1-
                                                 TOTAL FLOW of capital/year out-
6-5-3-1-
                                                 side region: 51624.0
2-0-
4-1-0-
4-1-3-5-0-
6-5-0-
6-5-3-1-0-
Pathfinder: Demo Environment
5. Run scenarios in which nodes/edges are disfunctional because of flood impact
6. check total impact on system (remember dependencies vs robustness!)
Pathfinder: From Flow impact to Economical Impact
         1. Economic Activity is to a Large Extend dependend on NETWORKS
         2. Use Network Performance to Distribute Activity on (Regional Input-Output Model)




Bi-regionale input-output tabel 1992 voor de regio Groot-
Amsterdam en Noordzeekanaalgebied, basisprijzen in
mln. guldens




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           Afgedragen minus toegerekende BTW
                                                                                                                                                                                                                                                                                             Consumptieve bestedingen overheid




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Consumptieve bestedingen overheid
                                                                                                                                                                                         Handel, reparatie, horeca, vervoer,




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Handel, reparatie, horeca, vervoer,
                                                                                                                                                                                                                                                                                                                                                                                                   Bestedingen buitenlandse toeristen




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         Bestedingen buitenlandse toeristen
                                                                                                                                                                                                                                                                                                                                 Investeringen in vaste activa en




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Investeringen in vaste activa en
                                                                                                  Industrie en delfstoffenwinning




                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Industrie en delfstoffenwinning
                                                                                                                                                                                                                                 Tertiaire en kwartaire sector




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     Tertiaire en kwartaire sector




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Handels- en vervoersmarges
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Veranderingen in Voorraad
                                                                                                                                                                                                                                                                                                                                                                      Toegerekende bankdiensten




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Toegerekende bankdiensten




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           Uitvoer naar het buitenland
                                                                                                                                                                                                                                                                 Consumptieve bestedingen




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     Consumptieve bestedingen
                                                                                                                                                              bouwinstallatiebedrijven




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 bouwinstallatiebedrijven
                                                                                                                                     Openbare nutsbedrijven




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        Openbare nutsbedrijven
                                                                                                                                                                                         opslag en communicatie




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            opslag en communicatie
                                                                         Landbouw en visserij




                                                                                                                                                                                                                                                                                                                                                                                                                                          Landbouw en visserij




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Uitvoer naar de ETR
                                                                                                                                                              Bouwnijverheid en




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 Bouwnijverheid en
                                                                                                                                                                                                                                                                                                                                 desinvesteringen




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      desinvesteringen
                                                                                                                                                                                                                                                                 huishoudens




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     huishoudens
                                                                                                                                                                        Groot-Amsterdam en Noordzeekanaalgebied                                                                                                                                                                                                                                                                                                                                                             Overig Nederland                                                                                                                                                                                                                                          Overige finale vraag                                                                               BTW                                   Totaal
                        Landbouw en visserij                                 36                   164                                  5                                 3         23        16         13                                                                                                      1                         0                                                          1                                     25                        91                                      0                          0                                   3           5                                                  14                                        0                             -1                                                            0                                   0                      10          829                                                   2                                                                          1239
  Groot-Amsterdam




                        Industrie en delfstoffenwinning                       8                  1680                                 22                               292       479        781       1100                                                                                                      2                       333                                                        104                                    117                      3522                                     99                        495                                 874       1476                                                 2778                                        7                            626                                                           64                                  33                     438        15455                                                 526                                                                         31310
    en Nzkgebied




                        Openbare nutsbedrijven                               69                   376                                148                                17       360        353       1103                                                                                                                               96                                                                                                23                        15                                     59                          0                                   5         21                                                   45                                                                                                                                                                        2                       0             1                                                                                                                             2691
                        Bouwnijverheid en bouwinstallatiebedrijven            4                   109                                  2                               817       210        431         92                                                                                                                             2032                                                                                                26                        82                                      3                       1067                                 150        475                                                  110                                                               2544                                                                                                    94                                                                                           54                                                                      8300
                        Handel, reparatie, horeca, vervoer, opslag en
                        communicatie                                         10                   310                                 15                            89                          1843                            1039                              3191                         2                                       -321                                                       1067                                     76                       651                                  27                        100                             1151                              965                               4128                         0                                    49                                                              176                                     11                         -2                            9550                            13903                                                                      38030
                        Tertiaire en kwartaire sector                        31                  1488                                 46                           274                          2196                            4216                             13818                      4216                                        578                         6469                           148                                    229                      2103                                 102                        345                             1752                             3110                               3296                      1081                                   478                                                               20                                   3589                          1                            1509                              165                                                                      51257
                        Landbouw en visserij                                 38                   638                                  4                             3                            82                              42                               160                        12                                          5                                                         21                                   4501                     19886                                  76                         47                              286                              412                               1315                       102                                  -189                                                               43                                      3                       -134                           14434                              133                                                                      41919
     Overig Nederland




                        Industrie en delfstoffenwinning                      56                  3921                                896                          1099                          1929                            1534                              2637                        15                                       1223                                                        289                                   8881                     44058                                6505                      11346                             8596                            10320                              25281                       122                                 11353                                                              680                                    415                        792                          147432                             4900                                                                     294280
                        Openbare nutsbedrijven                                7                    68                                 39                             3                            68                              62                                44                                                                    4                                                                                              1554                      3665                                1534                        157                             2107                             2537                               8741                                                             774                                                                                                      12                         -1                              10                                                                                                       21384
                        Bouwnijverheid en bouwinstallatiebedrijven            6                   154                                  3                          1141                           293                             628                               133                                                                 4263                                                                                               377                      1224                                  40                      15559                             2190                             6824                               1625                                                           35635                                                                                                     797                                                                                         452                                                                      71343
                        Handel, reparatie, horeca, vervoer, opslag en
                        communicatie                                         12                   336                                 20                                85                      1090                             980                                 1292                      0                                              49                                                   214                                    744                      4386                                 224                          1229                    10930                                  8554                              27790                        13                                   -1699                                                           2289                                     60                        -11                           24044                            84657                                                                     167285
                        Tertiaire en kwartaire sector                        25                   867                                 66                               170                      1107                            2290                                 1222                    683                                             371                                                    45                                   1684                     16444                                 770                          3210                    15393                                 31537                             114964                     37500                                    5892                            14012                           391                                  34252                         14                            7272                              812                                                                     290992
                        Invoer uit de ETR                                                          38                                173                                                                                                                                                      40                                                                                                                                                                    533                                1228                             0                                                                                                                         291                                                                                                                                          2014                          8                            2717                                                                                                        7042
                        Invoer uit het buitenland                            60                  8962                                100                          1066                          5662                            1506                                 5953                                                              4247                                                        270                                   2346                     85187                                1591                          8788                    16719                                  9616                              44457                                                           22011                                                              497                                    622                       1942                           47568                                                                                                      269168
                        Handels- en vervoersmarges                           36                  1521                                 10                           495                           494                             385                                 5794                                                               935                                                        400                                   1374                     14590                                 181                          4126                     2744                                  2690                              43766                                                            6588                                                              745                                    180                         36                           18512                                                                                                      105602

                        Verbruik goederen en diensten                    397                    20631                               1548                          5553                   15836                                 14264                             36551                      4972                                 13814                              6469                          2557                                  21955                    196436                               12439                      46468                       62896                                 78542                             278309                     39117                                 84060                              14012                          4906                                  42083                       3093                          289332                           105602                                                                    1401842

                        Niet-productgeb belastingen en subsidies          23                       20                                 -3                             1                      77                                    62                                                                                                     46                                                                                               586                        52                                 -26                         10                        1086                                  2416                                                                                                420                                                                                                      12                                                                                                                                                                   4782
                        Productgeb belastingen en subsidies                5                      191                                 77                            35                     357                                  1112                                 2846                                                              1575                                                        416                                    188                      1186                                 819                        283                        2192                                  7252                              23208                                                           11754                                                              777                                     99                              49                      -3109                                                                                                       51311
  waarde
   Toeg.




                        Lonen en salarissen                              208                     6085                                406                          1783                   10685                                 17116                                                                                                                                                                                                     2915                     47798                                2681                      15638                       51502                                 99325                                                                                                                                                                                                        765                                                                                                                                                                 256907
                        Sociale lasten                                    36                      988                                 31                           430                    1503                                  2989                                                                                                                                                                                                      505                      7809                                 250                       3909                        6553                                 18089                                                                                                                                                                                                        244                                                                                                                                                                  43336
                        Overig inkomen                                   570                     3395                                632                           498                    9572                                 15714                                                                                                                                -6469                                                               15770                     40999                                5222                       5035                       43056                                 85368                                                                                                                                 -14012                                                                4415                                                                                                                       2103                                      211868

                        Totaal                                          1239                    31310                               2691                          8300                   38030                                 51257                             39398                      4972                                 15435                                              0             2973                                  41919                    294280                               21384                      71343                      167285                                290992                             301517                     39117                                 96235                                               0             5683                                  47618                       3142                          286223                           105602                           2103                                     1970046
Pathfinder: Results
-Indication of Dependency of Economical Activity on Network (also utility, communication)
-Indication of Vulnerable Parts of Network and Economical Impact
-Suggestions for making Network more Robust (adding edges)
-Assessment from an Impact Wide instead of a Flood Probability side
-Yet, still Incomplete and Performance on Large Networks is bad
-Pathfinder generates information on One of the Many Vulnerability Indicators
                          ����������������������������
                                       Parker et al., 1987




                                 �������

                                                                        �����������������
                                                             ��������

               ��������




������������
Remember this?
1. Densification decrease of infiltration of water because of ‘paved’ urban areas: changes in
runoff (clear in Rotterdam: flash floods)


NEED FOR URBAN GROWTH MODELS
accurate predictions:
-on growth rate
-morphology (growth direction)
-landuse
-effect of planning/policy changes
-simulation of scenario’s (disasters vs resilience)

PART II: STATE OF THE ART IN URBAN GROWTH MODELS
URBANITY:
“The mystery (of urban economical balance) deepens when we observe
the kaleidoscopic nature of large cities. Buyers, sellers, administra-
tors, streets, bridges, and buildings are always chan-ging, so that a
city’s coherence is somehow imposed on a perpetual flux of people
and structures.

(...)A city is a pattern in time. No single constituent remains in place

(...)What enables cities to retain their coherence despite con-
tinual disruptions and a lack of central planning?




John Holland (1995), Hidden Order, How Adaptation Builds Complexity, Cam-
bridge: Perseus Books
Paradigm:
A city is decentralized system, consisting of a vast amount of interacting
agents, structures and processes. Various degrees of self-organization
appear that create a certain sense of order and stability.


Tradition:
Spatial planning is traditionally top-down organized. This approach
used to be succesfull since the ‘behavior’ of cities was relatively stable.
Urban Growth paradigms:
-Cities can be treated as self-organizing systems
-Urban Growth shows some form of universality
-Many cities show the same morphological character
-Traditional urban theory fails on predicting growth


THERE IS NO UNIVERSAL THEORY FOR URBAN GROWTH
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998),
phys. Rev. E58, 7054-7062




-DLA generates a fractal cluster
-morphlogy: tree-like dendrite structure
 Critique on urban simulations using DLA:
 1. Only 1 large cluster. Cities are composed of many clusters
 2. density in real cities doesn’t decrease from center according to a power-law
 3. morphology is not affirmed by real data
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062

1. Only 1 large cluster. Cities are composed of many clusters
                                    Example networkcity:
                                    -Randstad is composed of many different ‘seeds’
                                    -note that the question of scale is important


                                    Yet: also on a smaller scale this is true:
                                    Nieuwegein is grown from several small villages
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062

2. density in real cities doesn’t decrease from center
according to a power-law
                ���



                                            ���������



                ���
                          ������������������������
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                ���
                      �                                   �
                      ���������������������������������
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062

3. morphology is not affirmed by real data




cluster of 100 million particles created by DLA   morphology of Berlin 1945
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062

Makse et. al. propose a extention on DLA called a
Correlated (site) Percolation Model:

1. Population density p(r) follows the relation:



-      is the radial distance form the central core
-      is the density gradient

2. There exist a correlation between occupied locations in
the city and the probability of developing empty locations
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062

1. Population density p(r) follows the relation:



                                                           ���
                                    ����


                             �
                                                           ���
                            ���
                                           �������������




                                                           ���
                                                                 �                                   �
                                                                 ���������������������������������
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062

2. There exist a correlation between occupied locations in
the city and the probability of developing empty locations

             ����                   ����
   �                                              �
 ����������
 ����������������������������
(off course this applies to all the cells in the lattice)
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062


Influence of the degree of correlation on morpholgy




low correlation                         high correlation




medium correlation
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062


Comparison between CPM-simulation and real data

                                                   Berlin 1875




                                                   Berlin 1920




                                                   Berlin 1945




       real data                    simulation
1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’
(1998), phys. Rev. E58, 7054-7062

Conclusions (Makse et. al.):
1. model produces correct quantitative distribution (core and neigboring towns)
2. Different sizes of clusters agree with real data
3. Fractal dimension (coverage) agrees with real data



 Critique:
-Qualitative difference (see figures)!
-Only based on single central business center
-model seems scale-less
-fractal morphology doesn’t apply to every city (see Las Vegas later on!)
-no information on density (all occupied locations have same density)
-model gives very little topological information
Cellular Automata:
-simple system
-capable of extremely complex behavior



Cellular Automata:
A CA is an array of identically programmed automata, or cells, which inter-
act with one another in a neighborhood and have a definate state




array        cell      interact   neighborhood      state       starting condition
                                                 ������������
The Game of Life: simple rules, complex behavior
(John Conway 1970)




                          Loneliness: dies if number of alive neigh-
                          bor cells <= 2



                          Overcrowding: dies if number of alive
                          neighbor cells >= 5



                          Procreation: lives if number of alive
                          neighbor cells == 5
2. Development of hybrid models using CA and fractals
-CA growth phase




-Redistribution based on fractal structure (compare to infrastructure!)




D.P. Ward et. al, ‘An Optimized Cellular Automata Approach for Sustainable urban Development in Rapidly
Urbanizing Regions (1999)
early urban growth models using CA:
-attention to transition rules
-use spatially isotropic lattices
(every cell within the lattice is treated the same; the environment is uniform which is
unrealistic)
                                                   mountains



                                                                  river


                               sea




    array         cell         interact neighborhood             state     starting
                                                                              condition
1994: Human Induced Land Transformation (HILT) model
-first Geographic Automata System (GAS) to use geographic
information as the envrionment for the CA




Kirtland et. al, ‘An Analysis of Human Induced Land Transformations in the San Fransisco Bay/Sacramento
area (1994)
1997: Slope, Land-use, Exclusion, Urban Extent, Transpor-
tation and Hillshade model (SLEUTH)
K.C. Clarke and S. Hoppen (1997), ‘A
                        self-modyfying cellular automaton model of the historical
urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261




Model includes:
-integration of GIS-layers as the operating environment
-different cell states (not binary as in game of life)
-complex set of transition rules
-set of coefficients that dictate outcome transition rules
-self-modifying rules
-calibration method
2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the his-
torica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261
1. Integration of GIS-layers
                             2. Roads            3. Seeds
1. Slope                                                            4. Excluded Areas




-all layers except (roads layer) are cell-based (pixels)
2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the his-
torica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261
2. Different Cell-states

       1. empty

       2. seed cell

       3. urbanized in current iteration

       4. urbanized in a previous iteration (any)
       (this can be extended to incorporate the age of a neighborhood
       into the growth process)
2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the his-
torica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261
3. Complex set of transition rules

Composite rules composed of:
-rules on interaction with GIS-layers
-rules on cell-states of neighboring cells
For every cell {
     count the #neighbors in the neighborhood
     for every cell {
           calculate individual_urbanization_probabilites of parameters
           }
     probability_of_urbanization = sum(normalized_parameter_values)/5 //(5 parameters)
     if probability_of_urbanization>0.5 { //probability > 50%
           cell becomes urbanized
           }
     }

neighborhood used is classic MOORE (8 neighbors)
2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the his-
torica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261
4. Set of Parameters
-diffussion (overall dispersiveness)
-breed (control of new development)
-spread (growth of urbanized areas)
-slope resistance (probability of urbanization depending on
slope values)
-road gravity (controls urban development alongside roads)

example spread:
      if (#neighbors>2 || random_number<spread_coefficient) {
        urbanize this cell
      }
2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the historica
urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261
5. Self modifying rules

Control of growth rate by positive feedback loops:
-boost rapid urban growth (resulting in dispersed growth)
-dampen slow urban growth (resulting in concentrated growth)

Calculate growth_rate for a time cycle
// Rapid growth: boost coefficients by 10%
If growth_rate>high_growth_treshold{
     DIFFUSION +* 1.1
     SPREAD +* 1.1
     BREED by +* 1.1

    }

-self modifying rules influence effects of coefficients
-influence of positive feedback rules is moderated over time
2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the histor-
ica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261
Results




                                                                              Remember this!




Simulated growth pattern of Washington DC (2000) generated by SLEUTH-model
2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the histori-
ca urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261
6. Calibration method
Adapt the model to specific local conditions using real
world data!
2. E. A. Silva and K. C. Clarke (2004), ‘Calibration of the SLEUTH urban growth model for Lisbon
and Porto’ , Computers, Environment and Urban systems 26 , 525-552
                        AML                       AMP
Calibration phase       final      fine     coarse  final               fine       coarse
Score/resolution        784x836   392x418 196x209 347x563            173x281   86x140
Composite score         0.15      0.19    0.23    0.48               0.47      0.41
                        0.90      0.88    0.97    0.97               0.99      0.94
Compare
                        0.91      0.91    0.92    0.99               0.99      0.99
   Population
                        0.78      0.99    0.98    0.98               0.99      0.98
Edges
                        0.85      0.85    0.93    0.99               0.95      0.97
Cluster
LeeSallee               0.35      0.34    0.32    0.58               0.57      0.53
Diffusion               16        20      1       20                 40        1
Breed                   57        51      100     20                 1         100

Calibration: Optimization of coefficient values
(diffusion, breed, spread, slope resistance, road gravity and self-modification)
Typical problem of cell based models: what is the cell representing?
(a house, a plot, a neighborhood, an urban cluster?)
Growth simulation of the Baltimore-Washington region for a period of 200 years
Geographical Automata Systems: Problems and tendencies

1. Representation
2. Expressiveness of transition rules/parameters
3. Automated feature extraction from remote sensing data
4. Extending traditional models with new attributes/rules
1. Representation
Adaptive neighborhoods: usable since transition rules are totallistic
(neighborhoods as graphs with different branching factors)



   classic Moore neighborhood      graph representation      GIS representation




                                               �




                                           �
                                                   �

                                           �



   adapted neighborhood
1. Representation
      �

In practice, an adaptation of a Von Neumann neighborhood works best since most parcels share a border
                                                      �


                          �

                                                     !
    �


                                                                      �
        �


        !
�

                �
    �
                                      �
        �
�
            �
                                                                �



        �
2. Expressiveness of transition rules/attributes
Using ‘abstract’ attributes (e.g. diffusion index) is not very usefull for
policy makers since they cannot influence these parameters in practise.

Advice: use regression using actual statistics to determine the influence
of attributes on phenomena like diffusion, polycentricity, etc.
3. Automated feature extraction from remote sensing data
Automatically assigning values to attributes from satalite information

Partly solved: landuse can be assigned by using infrared imaging techniques
4. Extending traditional models with new attributes/rules

EMPHASIS ON SCENARIO’S AND EFFECTS OF POLICY!
requires additional transistion rules, cell properties, etc.

example: Urban Flood Management
(incorporating flood data into the system)
Yet, there are many other phenomena happening in urban
  space that require attention and research:

  slum fragmentation




J. Barros and F. Sobreira (2002), ‘City of Slums: Self-organization across sclaes’ ,Centre for Advanced Spatial Analysis.
Veerbeek, et al (2004), ‘Extending the set of decisive factors in development plans’ ,EO-Wijers stichting.
 e.g. policy and prizes




Potential development speed for the Rhine-Ruhr region
e.g. traffic-landuse relations
‘A Model of Fast Food Restaurant Chains’
In this model of urban development different strategies of unit location
for competing fast food restaurant chains are explored based on real
GIS data of Budapest (based on multi-agent system).
One of the key factors seems to be the integration of vari-
ous phenomena. Yet this builds up the complexity of the
models and might compromise their accuracy.

In a gaming environment this is already done: SIM CITY

In the coming decades the emphasis in urban research
will be on understanding the relation of various phe-
nomena within the urban tissue, so the future scenario’s
can be simulated and evaluated.
Literature:
Michael Batty (2004), Cities and Complexity, Understanding Cities with Cellular Automata, Agent-Based Mo-

dels and Fractals, Cambridge: MIT press


Itzhak Benenson and Paul M. Torrens (2004), Geosimulation, Automata-based modelling of urban pheno-

mena, New York: Wiley
CONCLUSIONS

1. Urban Environment are becoming Increasingly Vulnerable
(Climate Change, Increasing Density, Current Risk-Centered Approaches)


2. Indicating and Mapping Urban Vulnerability is Vital
(limited knowledge, theory, models)


3. Answer: Increasing Resilience on Different Scale Levels
(Chris’ lecture on Holistic Aproaches)


4. Integration of Urban and Flood models, Scenario’s

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Selforganizaingurbanplanning

  • 1. William Veerbeek DIN_arch Dura Vermeer Business Development, Hoofdorp Department of Artificial Intelligence, Vrije Universiteit Amsterdam
  • 2. 1. Current Changes in Urban Development: Drivers 2. Vulnerability in the UFM context 3. Towards Vulnerability Indicators 4. Estimating Secondary Damage 5. Understanding the City from a Bottom-Up perspective 6. Urban modeling 7. Integration of Urban Models with Flood Modeling 8. Potentials
  • 3. Rapidly Changing Conditions: Urban growth e.g. urbanization: -1800: 3% of world population lived in cities -2000: 47% of world population lived in cities
  • 4. Consequences of decentralized vs centralized planning: find the border between The Netherlands - Belgium
  • 5. Urban Conditions: 1. Increasingly Complex Conditions 2. Rapidly Changing Conditions Halle (Ger): shrinking 25% after fall Berlin Wall Las Vegas (US): 83.3% growth in 1990-2000
  • 6. Increasingly Complex Conditions: -Stakeholders (no classic top-down organization) -Diffuse demands (heterogenous objectives) -interconnectedness of problems/potentials -scattered distribution of resources -increase of available data (private-public demands, public-private partnership, scale independent economies, territorial indifference, power-distribution, remote-sensing techniques, global financial markets, etc. etc. etc.)
  • 7. Rapidly Changing Conditions: -Economical conditions -Social conditions -Cultural conditions -Spatial conditions -Climate change (globalization, evolving technologies, instable political conditions, indi- vidualization, natural hazards, urban sprawl, labour distribution, ener- gy production, evolving communications, social grouping, terrorism, etc. etc. etc.)
  • 8. CLIMATE CHANGE: 1. Cyclical Change, such as the seasonal variation and longer term cycles (El Niño); 2. Trend Breaking, being systematic changes such as climate change and also chang- es in runoff as a consequence of land use changes; 3. Increase of variability in extreme events causing uncertainty in mean impact level. Green (2005)
  • 9. URBAN CHANGE: 1. Densification decrease of infiltration of water because of ‘paved’ urban areas: changes in runoff (clear in Rotterdam: flash floods) 2. Building in flood prone areas Developments along river banks, Netherlands Growth along radial axes: Chengdu, China 1991-2002 (Boston University (2002))
  • 10. CONCLUSION: 1. Probability-Centered Risk Assessment NO LONGER VALID 2. Focus on impact Question: On what knowledge can we base Project appraisal? Gaussian probability distribution becomes questionable, potential impact is increasing
  • 11. From Vulnerability to Impact Assessment VULNERABILITY: Susceptibility to hazards location, runoff path, landuse, urban density, morphology, main flood defense system, building conditions, infrastructure, utility network, soil conditions, drainage system, emergency response protocols, responsibility distribution, etc. 1. Flood system related (you guys know all about that) 2.Urban related (physical, organizational, procedural) Need for an evaluation function: what makes systems vulnerable?
  • 12. Learning from Natural Social Systems: SWARM
  • 13. SWARM: On a system level, a swarm is hardly vulnerable System properties: 1. High Degree of Redundancy (Individuals) 2. Robust 3. Adaptive Behavior 4. Resilient Organizational Properties: 1. Decentralized (no central command) 2. Systems behavior is emergent property allignment cohesion seperation
  • 14. Understanding System Properties from a BOTTOM-UP perspective 1. High Degree of REDUNDANCY Overcapacity: sub-optimal solution to a problem posed by the envrionment :-No Exclusive Dependency on a Single Part :-Parts offer Some Degree of Similar Functionality :-High degree of connectivity (use a network perspective) 2. ROBUSTNESS Emergent property resulting from a high degree of redundancy
  • 15. Understanding System Properties from a BOTTOM-UP perspective 3. Adaptive Behavior Capacity to Adjust to New Conditions :-Parts generate New Relations :-Parts generate New Functionality to satisfy the System’s General Aim :-Temporal Instability needed to ‘Regenerate’ 4. RESILIENCE -META PROPERTY COVERING BOTH ROBUSTNESS AND ADAPTIVITY
  • 16. Nice Story, but what does that have to do with me? :-Understanding Residual Risk from a Systems’ Perspective :-Thinking of Flood Protection in Terms of Resilience :-Designing for UFM in Terms of Resilience :-Thinking from a Bottom-Up Perspective EXAMPLE: Identifying & Quantifying Vulnerability Indicators
  • 17. Vulnerability Indicators: Robustness of networks Relation of Potential Impact to Infrastructural Network 1. Potential Damage (Case Study Haarlemmermeer)
  • 18. REDUNDANCY IN THE INFRASTRUCTURAL NETWORK 1. Branching Factor (#connections per node) 2. Length of Edges (euclidian distance) Too general: need for pathfinder to check for local effects!
  • 19. Pathfinder: Demo Environment 1. Economical Activities (differentiated nodes initiating flow) 2. Network consisting of: 2.1 Nodes (junctions: reguar/dangle) 2.2 Edges (road segments with capacity) 2 ! ( 6 ! ( 1 6 quot;1 ) Legend 5 quot; ) economical activity ! ( 2 4 quot; ) type 0 7 quot; ) 0 ! ( Dangle ! ( quot; ) Regular ! ( 5 edges 3 quot; ) 3 ! ( 6 0 quot; ) 5 2 quot; ) 8 quot; ) 4 quot; ) 1 ! ( 3 4 ! (
  • 20. Pathfinder: Demo Environment 1. Generates all possible paths from all regular nods to dangle nodes 2. Creates General Statistics on Paths, Edge Use 3. Assignes Nodes to Activity Nodes and Assigns Paths 4. Calculates Flow 2 FLOW STATISTICS Amount of Nodes in PATH STATISTICS ! ( Capacity saturation coefficient: dBase: 7 Total amount of paths: 21 6 0.9505 Amount of Edges in Average path length : ! ( Average weighted flow per ac- dBase: 7 2.7142856 19 96 95 tivityNode: 4752.5 Path list: Longest path: 4 0. 05 quot;1 ) 5 Total available capacity: ------------- Shortest path: 1 5 ! ( 50000.0 4277.2 2-0-1-3-5- ------------- 2 5 quot; ) 0 7 -------------------------------- 2-0-5- EDGE FREQUENCIES ! ( quot; ) 0 quot; ) Assigned path for node 0: 6-5- 4-1-0-5- Total amount of edges 7 0 Assigned path for node 1: 2-0- 4-1-3-5- Edge Frequencies used in Assigned path for node 2: 2-0- 6-5- Paths: 3 3 quot; ) Assigned path for node 3: 2-0- 2-0-1-3- Edge 0: 9 78 ! ( 41 6 . Assigned path for node 4: 2-0- 2-0-5-3- Edge 1: 7 62 quot; ) 5 4277 Assigned path for node 5: 4-1- 4-1-0-5-3- Edge 2: 9 5 . 25 quot; ) Assigned path for node 6: 4-1-3- 4-1-3- Edge 3: 7 8 quot; ) 4 Assigned path for node 7: 4-1- 6-5-0-1-3- Edge 4: 9 quot; ) 1 ! ( 0-5- 6-5-3- Edge 5: 9 18059.5 Assigned path for node 8: 2-0-1- 2-0-1- Edge 6: 7 4 -------------------------------- ! 2-0-5-3-1- ( TOTAL FLOW of traffic/24h out- 4-1- side region: 47525.0 6-5-0-1- TOTAL FLOW of capital/year out- 6-5-3-1- side region: 51624.0 2-0- 4-1-0- 4-1-3-5-0- 6-5-0- 6-5-3-1-0-
  • 21. Pathfinder: Demo Environment 5. Run scenarios in which nodes/edges are disfunctional because of flood impact 6. check total impact on system (remember dependencies vs robustness!)
  • 22. Pathfinder: From Flow impact to Economical Impact 1. Economic Activity is to a Large Extend dependend on NETWORKS 2. Use Network Performance to Distribute Activity on (Regional Input-Output Model) Bi-regionale input-output tabel 1992 voor de regio Groot- Amsterdam en Noordzeekanaalgebied, basisprijzen in mln. guldens Afgedragen minus toegerekende BTW Consumptieve bestedingen overheid Consumptieve bestedingen overheid Handel, reparatie, horeca, vervoer, Handel, reparatie, horeca, vervoer, Bestedingen buitenlandse toeristen Bestedingen buitenlandse toeristen Investeringen in vaste activa en Investeringen in vaste activa en Industrie en delfstoffenwinning Industrie en delfstoffenwinning Tertiaire en kwartaire sector Tertiaire en kwartaire sector Handels- en vervoersmarges Veranderingen in Voorraad Toegerekende bankdiensten Toegerekende bankdiensten Uitvoer naar het buitenland Consumptieve bestedingen Consumptieve bestedingen bouwinstallatiebedrijven bouwinstallatiebedrijven Openbare nutsbedrijven Openbare nutsbedrijven opslag en communicatie opslag en communicatie Landbouw en visserij Landbouw en visserij Uitvoer naar de ETR Bouwnijverheid en Bouwnijverheid en desinvesteringen desinvesteringen huishoudens huishoudens Groot-Amsterdam en Noordzeekanaalgebied Overig Nederland Overige finale vraag BTW Totaal Landbouw en visserij 36 164 5 3 23 16 13 1 0 1 25 91 0 0 3 5 14 0 -1 0 0 10 829 2 1239 Groot-Amsterdam Industrie en delfstoffenwinning 8 1680 22 292 479 781 1100 2 333 104 117 3522 99 495 874 1476 2778 7 626 64 33 438 15455 526 31310 en Nzkgebied Openbare nutsbedrijven 69 376 148 17 360 353 1103 96 23 15 59 0 5 21 45 2 0 1 2691 Bouwnijverheid en bouwinstallatiebedrijven 4 109 2 817 210 431 92 2032 26 82 3 1067 150 475 110 2544 94 54 8300 Handel, reparatie, horeca, vervoer, opslag en communicatie 10 310 15 89 1843 1039 3191 2 -321 1067 76 651 27 100 1151 965 4128 0 49 176 11 -2 9550 13903 38030 Tertiaire en kwartaire sector 31 1488 46 274 2196 4216 13818 4216 578 6469 148 229 2103 102 345 1752 3110 3296 1081 478 20 3589 1 1509 165 51257 Landbouw en visserij 38 638 4 3 82 42 160 12 5 21 4501 19886 76 47 286 412 1315 102 -189 43 3 -134 14434 133 41919 Overig Nederland Industrie en delfstoffenwinning 56 3921 896 1099 1929 1534 2637 15 1223 289 8881 44058 6505 11346 8596 10320 25281 122 11353 680 415 792 147432 4900 294280 Openbare nutsbedrijven 7 68 39 3 68 62 44 4 1554 3665 1534 157 2107 2537 8741 774 12 -1 10 21384 Bouwnijverheid en bouwinstallatiebedrijven 6 154 3 1141 293 628 133 4263 377 1224 40 15559 2190 6824 1625 35635 797 452 71343 Handel, reparatie, horeca, vervoer, opslag en communicatie 12 336 20 85 1090 980 1292 0 49 214 744 4386 224 1229 10930 8554 27790 13 -1699 2289 60 -11 24044 84657 167285 Tertiaire en kwartaire sector 25 867 66 170 1107 2290 1222 683 371 45 1684 16444 770 3210 15393 31537 114964 37500 5892 14012 391 34252 14 7272 812 290992 Invoer uit de ETR 38 173 40 533 1228 0 291 2014 8 2717 7042 Invoer uit het buitenland 60 8962 100 1066 5662 1506 5953 4247 270 2346 85187 1591 8788 16719 9616 44457 22011 497 622 1942 47568 269168 Handels- en vervoersmarges 36 1521 10 495 494 385 5794 935 400 1374 14590 181 4126 2744 2690 43766 6588 745 180 36 18512 105602 Verbruik goederen en diensten 397 20631 1548 5553 15836 14264 36551 4972 13814 6469 2557 21955 196436 12439 46468 62896 78542 278309 39117 84060 14012 4906 42083 3093 289332 105602 1401842 Niet-productgeb belastingen en subsidies 23 20 -3 1 77 62 46 586 52 -26 10 1086 2416 420 12 4782 Productgeb belastingen en subsidies 5 191 77 35 357 1112 2846 1575 416 188 1186 819 283 2192 7252 23208 11754 777 99 49 -3109 51311 waarde Toeg. Lonen en salarissen 208 6085 406 1783 10685 17116 2915 47798 2681 15638 51502 99325 765 256907 Sociale lasten 36 988 31 430 1503 2989 505 7809 250 3909 6553 18089 244 43336 Overig inkomen 570 3395 632 498 9572 15714 -6469 15770 40999 5222 5035 43056 85368 -14012 4415 2103 211868 Totaal 1239 31310 2691 8300 38030 51257 39398 4972 15435 0 2973 41919 294280 21384 71343 167285 290992 301517 39117 96235 0 5683 47618 3142 286223 105602 2103 1970046
  • 23. Pathfinder: Results -Indication of Dependency of Economical Activity on Network (also utility, communication) -Indication of Vulnerable Parts of Network and Economical Impact -Suggestions for making Network more Robust (adding edges) -Assessment from an Impact Wide instead of a Flood Probability side -Yet, still Incomplete and Performance on Large Networks is bad -Pathfinder generates information on One of the Many Vulnerability Indicators ���������������������������� Parker et al., 1987 ������� ����������������� �������� �������� ������������
  • 24. Remember this? 1. Densification decrease of infiltration of water because of ‘paved’ urban areas: changes in runoff (clear in Rotterdam: flash floods) NEED FOR URBAN GROWTH MODELS accurate predictions: -on growth rate -morphology (growth direction) -landuse -effect of planning/policy changes -simulation of scenario’s (disasters vs resilience) PART II: STATE OF THE ART IN URBAN GROWTH MODELS
  • 25. URBANITY: “The mystery (of urban economical balance) deepens when we observe the kaleidoscopic nature of large cities. Buyers, sellers, administra- tors, streets, bridges, and buildings are always chan-ging, so that a city’s coherence is somehow imposed on a perpetual flux of people and structures. (...)A city is a pattern in time. No single constituent remains in place (...)What enables cities to retain their coherence despite con- tinual disruptions and a lack of central planning? John Holland (1995), Hidden Order, How Adaptation Builds Complexity, Cam- bridge: Perseus Books
  • 26. Paradigm: A city is decentralized system, consisting of a vast amount of interacting agents, structures and processes. Various degrees of self-organization appear that create a certain sense of order and stability. Tradition: Spatial planning is traditionally top-down organized. This approach used to be succesfull since the ‘behavior’ of cities was relatively stable.
  • 27. Urban Growth paradigms: -Cities can be treated as self-organizing systems -Urban Growth shows some form of universality -Many cities show the same morphological character -Traditional urban theory fails on predicting growth THERE IS NO UNIVERSAL THEORY FOR URBAN GROWTH
  • 28. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 -DLA generates a fractal cluster -morphlogy: tree-like dendrite structure Critique on urban simulations using DLA: 1. Only 1 large cluster. Cities are composed of many clusters 2. density in real cities doesn’t decrease from center according to a power-law 3. morphology is not affirmed by real data
  • 29. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 1. Only 1 large cluster. Cities are composed of many clusters Example networkcity: -Randstad is composed of many different ‘seeds’ -note that the question of scale is important Yet: also on a smaller scale this is true: Nieuwegein is grown from several small villages
  • 30. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 2. density in real cities doesn’t decrease from center according to a power-law ��� ��������� ��� ������������������������ ������������� ��� � � ���������������������������������
  • 31. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 3. morphology is not affirmed by real data cluster of 100 million particles created by DLA morphology of Berlin 1945
  • 32. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 Makse et. al. propose a extention on DLA called a Correlated (site) Percolation Model: 1. Population density p(r) follows the relation: - is the radial distance form the central core - is the density gradient 2. There exist a correlation between occupied locations in the city and the probability of developing empty locations
  • 33. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 1. Population density p(r) follows the relation: ��� ���� � ��� ��� ������������� ��� � � ���������������������������������
  • 34. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 2. There exist a correlation between occupied locations in the city and the probability of developing empty locations ���� ���� � � ���������� ���������������������������� (off course this applies to all the cells in the lattice)
  • 35. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 Influence of the degree of correlation on morpholgy low correlation high correlation medium correlation
  • 36. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 Comparison between CPM-simulation and real data Berlin 1875 Berlin 1920 Berlin 1945 real data simulation
  • 37. 1. H.A. Makse et. al., ‘Modeling Urban Growth Patterns with Correlated Percolation’ (1998), phys. Rev. E58, 7054-7062 Conclusions (Makse et. al.): 1. model produces correct quantitative distribution (core and neigboring towns) 2. Different sizes of clusters agree with real data 3. Fractal dimension (coverage) agrees with real data Critique: -Qualitative difference (see figures)! -Only based on single central business center -model seems scale-less -fractal morphology doesn’t apply to every city (see Las Vegas later on!) -no information on density (all occupied locations have same density) -model gives very little topological information
  • 38. Cellular Automata: -simple system -capable of extremely complex behavior Cellular Automata: A CA is an array of identically programmed automata, or cells, which inter- act with one another in a neighborhood and have a definate state array cell interact neighborhood state starting condition ������������
  • 39. The Game of Life: simple rules, complex behavior (John Conway 1970) Loneliness: dies if number of alive neigh- bor cells <= 2 Overcrowding: dies if number of alive neighbor cells >= 5 Procreation: lives if number of alive neighbor cells == 5
  • 40. 2. Development of hybrid models using CA and fractals -CA growth phase -Redistribution based on fractal structure (compare to infrastructure!) D.P. Ward et. al, ‘An Optimized Cellular Automata Approach for Sustainable urban Development in Rapidly Urbanizing Regions (1999)
  • 41. early urban growth models using CA: -attention to transition rules -use spatially isotropic lattices (every cell within the lattice is treated the same; the environment is uniform which is unrealistic) mountains river sea array cell interact neighborhood state starting condition
  • 42. 1994: Human Induced Land Transformation (HILT) model -first Geographic Automata System (GAS) to use geographic information as the envrionment for the CA Kirtland et. al, ‘An Analysis of Human Induced Land Transformations in the San Fransisco Bay/Sacramento area (1994)
  • 43. 1997: Slope, Land-use, Exclusion, Urban Extent, Transpor- tation and Hillshade model (SLEUTH) K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the historical urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261 Model includes: -integration of GIS-layers as the operating environment -different cell states (not binary as in game of life) -complex set of transition rules -set of coefficients that dictate outcome transition rules -self-modifying rules -calibration method
  • 44. 2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the his- torica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261 1. Integration of GIS-layers 2. Roads 3. Seeds 1. Slope 4. Excluded Areas -all layers except (roads layer) are cell-based (pixels)
  • 45. 2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the his- torica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261 2. Different Cell-states 1. empty 2. seed cell 3. urbanized in current iteration 4. urbanized in a previous iteration (any) (this can be extended to incorporate the age of a neighborhood into the growth process)
  • 46. 2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the his- torica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261 3. Complex set of transition rules Composite rules composed of: -rules on interaction with GIS-layers -rules on cell-states of neighboring cells For every cell { count the #neighbors in the neighborhood for every cell { calculate individual_urbanization_probabilites of parameters } probability_of_urbanization = sum(normalized_parameter_values)/5 //(5 parameters) if probability_of_urbanization>0.5 { //probability > 50% cell becomes urbanized } } neighborhood used is classic MOORE (8 neighbors)
  • 47. 2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the his- torica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261 4. Set of Parameters -diffussion (overall dispersiveness) -breed (control of new development) -spread (growth of urbanized areas) -slope resistance (probability of urbanization depending on slope values) -road gravity (controls urban development alongside roads) example spread: if (#neighbors>2 || random_number<spread_coefficient) { urbanize this cell }
  • 48. 2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the historica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261 5. Self modifying rules Control of growth rate by positive feedback loops: -boost rapid urban growth (resulting in dispersed growth) -dampen slow urban growth (resulting in concentrated growth) Calculate growth_rate for a time cycle // Rapid growth: boost coefficients by 10% If growth_rate>high_growth_treshold{ DIFFUSION +* 1.1 SPREAD +* 1.1 BREED by +* 1.1 } -self modifying rules influence effects of coefficients -influence of positive feedback rules is moderated over time
  • 49. 2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the histor- ica urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261 Results Remember this! Simulated growth pattern of Washington DC (2000) generated by SLEUTH-model
  • 50. 2. K.C. Clarke and S. Hoppen (1997), ‘A self-modyfying cellular automaton model of the histori- ca urbanization in the San Fransisco Bay area’ ,planning and Design 24, 247-261 6. Calibration method Adapt the model to specific local conditions using real world data! 2. E. A. Silva and K. C. Clarke (2004), ‘Calibration of the SLEUTH urban growth model for Lisbon and Porto’ , Computers, Environment and Urban systems 26 , 525-552 AML AMP Calibration phase final fine coarse final fine coarse Score/resolution 784x836 392x418 196x209 347x563 173x281 86x140 Composite score 0.15 0.19 0.23 0.48 0.47 0.41 0.90 0.88 0.97 0.97 0.99 0.94 Compare 0.91 0.91 0.92 0.99 0.99 0.99 Population 0.78 0.99 0.98 0.98 0.99 0.98 Edges 0.85 0.85 0.93 0.99 0.95 0.97 Cluster LeeSallee 0.35 0.34 0.32 0.58 0.57 0.53 Diffusion 16 20 1 20 40 1 Breed 57 51 100 20 1 100 Calibration: Optimization of coefficient values (diffusion, breed, spread, slope resistance, road gravity and self-modification)
  • 51. Typical problem of cell based models: what is the cell representing? (a house, a plot, a neighborhood, an urban cluster?) Growth simulation of the Baltimore-Washington region for a period of 200 years
  • 52. Geographical Automata Systems: Problems and tendencies 1. Representation 2. Expressiveness of transition rules/parameters 3. Automated feature extraction from remote sensing data 4. Extending traditional models with new attributes/rules
  • 53. 1. Representation Adaptive neighborhoods: usable since transition rules are totallistic (neighborhoods as graphs with different branching factors) classic Moore neighborhood graph representation GIS representation � � � � adapted neighborhood
  • 54. 1. Representation � In practice, an adaptation of a Von Neumann neighborhood works best since most parcels share a border � � ! � � � ! � � � � � � � � �
  • 55. 2. Expressiveness of transition rules/attributes Using ‘abstract’ attributes (e.g. diffusion index) is not very usefull for policy makers since they cannot influence these parameters in practise. Advice: use regression using actual statistics to determine the influence of attributes on phenomena like diffusion, polycentricity, etc.
  • 56. 3. Automated feature extraction from remote sensing data Automatically assigning values to attributes from satalite information Partly solved: landuse can be assigned by using infrared imaging techniques
  • 57. 4. Extending traditional models with new attributes/rules EMPHASIS ON SCENARIO’S AND EFFECTS OF POLICY! requires additional transistion rules, cell properties, etc. example: Urban Flood Management (incorporating flood data into the system)
  • 58. Yet, there are many other phenomena happening in urban space that require attention and research: slum fragmentation J. Barros and F. Sobreira (2002), ‘City of Slums: Self-organization across sclaes’ ,Centre for Advanced Spatial Analysis.
  • 59. Veerbeek, et al (2004), ‘Extending the set of decisive factors in development plans’ ,EO-Wijers stichting. e.g. policy and prizes Potential development speed for the Rhine-Ruhr region
  • 60. e.g. traffic-landuse relations ‘A Model of Fast Food Restaurant Chains’ In this model of urban development different strategies of unit location for competing fast food restaurant chains are explored based on real GIS data of Budapest (based on multi-agent system).
  • 61. One of the key factors seems to be the integration of vari- ous phenomena. Yet this builds up the complexity of the models and might compromise their accuracy. In a gaming environment this is already done: SIM CITY In the coming decades the emphasis in urban research will be on understanding the relation of various phe- nomena within the urban tissue, so the future scenario’s can be simulated and evaluated.
  • 62. Literature: Michael Batty (2004), Cities and Complexity, Understanding Cities with Cellular Automata, Agent-Based Mo- dels and Fractals, Cambridge: MIT press Itzhak Benenson and Paul M. Torrens (2004), Geosimulation, Automata-based modelling of urban pheno- mena, New York: Wiley
  • 63. CONCLUSIONS 1. Urban Environment are becoming Increasingly Vulnerable (Climate Change, Increasing Density, Current Risk-Centered Approaches) 2. Indicating and Mapping Urban Vulnerability is Vital (limited knowledge, theory, models) 3. Answer: Increasing Resilience on Different Scale Levels (Chris’ lecture on Holistic Aproaches) 4. Integration of Urban and Flood models, Scenario’s