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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

Energy conservation for μ = 0, Δt = 0.005.
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pone.0136248.g003: Energy conservation for μ = 0, Δt = 0.005.

Mentions: The Newtonian dynamics generated from Eq (8) does not lead to an urban centre, since the model system is energy-conserving (as in physics, energy is the sum of kinetic and potential energies, ) and will be in eternal motion (see Fig 3).


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)

Energy conservation for μ = 0, Δt = 0.005.
© Copyright Policy
Related In: Results  -  Collection

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

pone.0136248.g003: Energy conservation for μ = 0, Δt = 0.005.
Mentions: The Newtonian dynamics generated from Eq (8) does not lead to an urban centre, since the model system is energy-conserving (as in physics, energy is the sum of kinetic and potential energies, ) and will be in eternal motion (see Fig 3).

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