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Self-Organisation in Spatial Systems-From Fractal Chaos to Regular Patterns and Vice Versa.

Banaszak M, Dziecielski M, Nijkamp P, Ratajczak W - PLoS ONE (2015)

Bottom Line: This study offers a new perspective on the evolutionary patterns of cities or urban agglomerations.Such developments can range from chaotic to fully ordered.Our approach is dynamic in nature and forms a generalisation of hierarchical principles in geographic space.

View Article: PubMed Central - PubMed

Affiliation: Faculty of Physics, A. Mickiewicz University, ul. Umultowska 85, 61-614 Poznan, Poland.

ABSTRACT
This study offers a new perspective on the evolutionary patterns of cities or urban agglomerations. Such developments can range from chaotic to fully ordered. We demonstrate that in a dynamic space of interactive human behaviour cities produce a wealth of gravitational attractors whose size and shape depend on the resistance of space emerging inter alia from transport friction costs. This finding offers original insights into the complex evolution of spatial systems and appears to be consistent with the principles of central place theory known from the spatial sciences and geography. Our approach is dynamic in nature and forms a generalisation of hierarchical principles in geographic space.

No MeSH data available.


Related in: MedlinePlus

a) CPT-derived pattern of towns in the Noord Oost Polder. Source: own preparation; b) chaotic pattern at μ = 0.03; c) order at equal town masses (μ = 0.7); d) order at unequal town masses (μ = 0.7).
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pone.0136248.g006: a) CPT-derived pattern of towns in the Noord Oost Polder. Source: own preparation; b) chaotic pattern at μ = 0.03; c) order at equal town masses (μ = 0.7); d) order at unequal town masses (μ = 0.7).

Mentions: Fig 6a shows a real pattern of towns in a Dutch polder (named Noord Oost Polder) reclaimed from the sea and deliberately designed using central place theory (see [30] and [31]). This polder was planned in the 1930s, using the concept of CPT. The design rested on the assumption that the towns lying at the vertices of the figure would have 2,000 inhabitants each, and the central town—Emmeloord—10,000. The regular hexagonal pattern was only disturbed by the capricious shape on the right hand side forming the main land. The distances between these towns were small, based on convenient cycling distances.


Self-Organisation in Spatial Systems-From Fractal Chaos to Regular Patterns and Vice Versa.

Banaszak M, Dziecielski M, Nijkamp P, Ratajczak W - PLoS ONE (2015)

a) CPT-derived pattern of towns in the Noord Oost Polder. Source: own preparation; b) chaotic pattern at μ = 0.03; c) order at equal town masses (μ = 0.7); d) order at unequal town masses (μ = 0.7).
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4581867&req=5

pone.0136248.g006: a) CPT-derived pattern of towns in the Noord Oost Polder. Source: own preparation; b) chaotic pattern at μ = 0.03; c) order at equal town masses (μ = 0.7); d) order at unequal town masses (μ = 0.7).
Mentions: Fig 6a shows a real pattern of towns in a Dutch polder (named Noord Oost Polder) reclaimed from the sea and deliberately designed using central place theory (see [30] and [31]). This polder was planned in the 1930s, using the concept of CPT. The design rested on the assumption that the towns lying at the vertices of the figure would have 2,000 inhabitants each, and the central town—Emmeloord—10,000. The regular hexagonal pattern was only disturbed by the capricious shape on the right hand side forming the main land. The distances between these towns were small, based on convenient cycling distances.

Bottom Line: This study offers a new perspective on the evolutionary patterns of cities or urban agglomerations.Such developments can range from chaotic to fully ordered.Our approach is dynamic in nature and forms a generalisation of hierarchical principles in geographic space.

View Article: PubMed Central - PubMed

Affiliation: Faculty of Physics, A. Mickiewicz University, ul. Umultowska 85, 61-614 Poznan, Poland.

ABSTRACT
This study offers a new perspective on the evolutionary patterns of cities or urban agglomerations. Such developments can range from chaotic to fully ordered. We demonstrate that in a dynamic space of interactive human behaviour cities produce a wealth of gravitational attractors whose size and shape depend on the resistance of space emerging inter alia from transport friction costs. This finding offers original insights into the complex evolution of spatial systems and appears to be consistent with the principles of central place theory known from the spatial sciences and geography. Our approach is dynamic in nature and forms a generalisation of hierarchical principles in geographic space.

No MeSH data available.


Related in: MedlinePlus