An urban ecosystem as a superposition of interrelated active media

Sidorova, A. E.; Mukhartova, Yu. V.; Yakovenko, L. V.

doi:10.3103/s0027134914050087

Cited by 4 publications

(5 citation statements)

References 4 publications

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“…To describe an urban ecosystem as active medium, the authors proposed a system of equations based on the modified Fitzhugh-Nagumo system [21][22][23][43][44][45][46]:…”

Section: Theoretical Background Of a Spatio-temporal Model Of Shanghamentioning

confidence: 99%

“…In the case where there are three real roots, the largest and the smallest correspond to steady states. The presence of three real roots is determined by the governing parameter α(x,y) [43][44][45][46]; that is, the property of the medium. A medium supporting two stable states of a bistable element is called excitable.…”

Section: Theoretical Background Of a Spatio-temporal Model Of Shanghamentioning

confidence: 99%

“…The function α(x,y) in Equation (1) is the activation parameter. An analysis of the system of Equation (1) [43][44][45][46] showed that with α = 0.3, the system describes an excitable medium, and with α = 1, it describes a non-excitable medium. In the model, we put α = 0.3 in the East direction.…”

Section: The Choice Of Model Parametersmentioning

confidence: 99%

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A Spatio-Temporal Autowave Model of Shanghai Territory Development

et al. 2019

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A spatio-temporal model of megacity development that treats the megacity as an active medium is presented. From our point of view, it is advisable to consider the process of urban ecosystem development from the standpoint of the theory of autowave self-organization in active media. According to this concept, the urban ecosystem is considered as interacting with each other’s natural and anthropogenic subsystems with significant heterogeneity of areas affected by human intervention and urban geobiocoenoses. The model is based on the general principles of active medium dynamics; therefore, it is universal for any object to be considered an active medium. The only difference when using the model to predict the development of urban ecosystems in countries with different socio-economic and political prerequisites is the variety of parameters included in the model, i.e., the activation parameter, the autowave process inhibitors, and the characteristic scales of the activator and inhibitor. The model was tested on the example of Moscow expansion in the period of 1952–1968 and showed good agreement with the map data. By means of the model, a prediction of Shanghai and surrounding territory development until 2030 was made.

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“…To describe an urban ecosystem as active medium, the authors proposed a system of equations based on the modified Fitzhugh-Nagumo system [21][22][23][43][44][45][46]:…”

Section: Theoretical Background Of a Spatio-temporal Model Of Shanghamentioning

confidence: 99%

Section: Theoretical Background Of a Spatio-temporal Model Of Shanghamentioning

confidence: 99%

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A Spatio-Temporal Autowave Model of Shanghai Territory Development

et al. 2019

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“…A necessary condition for selforganization in the UES is the synergetic correspondence of natural (biotic and abiotic) factors to the anthropogenic impact, that is determined by the structural and functional complexity of the ecosystem, the intensity of anthropogenic processes and the potential ability of natural subsystems to reduce these processes ("buffer capacity"). The driving parameters of this process are natural and anthropogenic factors (excitable elements) forming the autowave length and shape [22][23][24][25][26][27].…”

Section: Urboecosystems Structural Formation Model As a Process Of Aumentioning

confidence: 99%

“…As a result of the increase in number and density of population, the residential, trade and industrial development, traffic flows the length of communications, grow and the borders of the UES expand. Due to this growing cities tend to merge into common systems, and hence the areas of geobiocenoses decrease and become fragmented; that inevitably leads to a change in the quantitative and, most importantly, qualitative composition of trophic networks [22][23][24][25][26][27]. At the same time, the rates of anthropogenic processes are at least an order of magnitude greater than the rates of natural processes [28], so we propose anthropogenic processes in the model as activators, and natural ones as inhibitors of system-wide processes.…”

Section: Urboecosystems Structural Formation Model As a Process Of Aumentioning

confidence: 99%

The Application of a Distributed Model of Active Media for the Analysis of Urban Ecosystems Development

Sidorova¹,

Левашова²,

Semina³

et al. 2018

Math.Biol.Bioinf.

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A model of spatiotemporal self-organization of urban ecosystems as a superposition of conjugate active media that takes into account inhomogeneities of anthropogenic and natural factors is proposed. The type of ecosystems under assumption is characterized by a high rate of population growth and density due to the concentration of residential, industrial, commercial and other objects, as well as communication media. These conditions reduce the "buffer capacity" of natural subsystems and increase the nonlinearity and consequently the instability of system processes within the boundaries of urban ecosystems. The model is based on the system of FitzHugh-Nagumo equations, modified by the authors so to take into account inhomogeneities of anthropogenic (activator) and natural (inhibitor) factors. The validity of the application of an equation of this type is determined by the relative simplicity of the system analysis of two equations of the "activator-inhibitor" type. The previously published analytical studies of a system of equations of this type made it possible to create on its basis an adequate model for urban ecosystems development. The numerical solution of the system in the two-dimensional case was carried out in a rectangular region. On the boundaries of the domain the homogeneous Neumann conditions were given, the initial distribution was assumed to be known. The solution was carried out by the method of evolutionary factorization. The iterative process continued until complete stationing. The developed model is used for analysis and forecasting the development of the territory of New Moscow. The arrays of values of the control parameters of the model, which were subsequently taken into account in numerical implementation, were obtained on the basis of the aerial survey data and maps of the studied territories translated into digital form using the C++ authoring application, which allows to create text files with image-based data. The code was created in the OpenCL environment and implemented using AMD FIREPRO graphics processors. Graphical interpretation was carried out using the "Serfer" program.

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The Model of Structurization of Urban Ecosystems as the Process of Self-Organization in Active Media

Sidorova¹

2017

Math.Biol.Bioinf.

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A model of spatiotemporal self-organization of urban ecosystems as a superposition of conjugate active media, that takes into account inhomogeneities of anthropogenic and natural factors is proposed. This type of ecosystems is characterized by a high rate of population growth and density due to the concentration of residential, industrial, commercial and other facilities, as well as means of communication. These conditions violate the dynamic equilibrium of energy, substance and information flows, reduce the “buffer capacity” of natural subsystems, increase the nonlinearity, and, as a consequence, instability of system processes. The model is based on the modified by the authors Fitz-Hugh-Nagumo equations, taking into account the inhomogeneities of the anthropogenic (activator) and natural (inhibitor) factors. The validity of the application of this type of equations is determined by the relative simplicity of the system analysis of two equations of the "activator-inhibitor" type. The conditions for the formation of an excitable/unexcitable state of the active medium and the initial burst of an autowave depending on the population density and the kinetic parameters of the system (activator and inhibitor), as well as the criteria for the formation of transition zones between cities, are obtained (based on calculations made from aerial photography). The obtained value of the dimensionless model population density in the region of the transition layer (the barrier on the path of the autowave front) and on the outskirts of residential arrays made it possible to reveal the proportionality coefficient between the parameters of the model problem and the corresponding values in a real urban environment. The dimensionless model is confirmed by data on population density and population density and Moscow map data from 1946 to 2014. The model makes it possible to identify threshold values of control parameters and to consider the basic principles of development of autowave processes forming the structures of urban ecosystems.

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An urban ecosystem as a superposition of interrelated active media

Cited by 4 publications

References 4 publications

A Spatio-Temporal Autowave Model of Shanghai Territory Development

A Spatio-Temporal Autowave Model of Shanghai Territory Development

The Application of a Distributed Model of Active Media for the Analysis of Urban Ecosystems Development

The Model of Structurization of Urban Ecosystems as the Process of Self-Organization in Active Media

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