The “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks

Abstract Previous studies of multilayer network robustness model cascading failures via a node-to-node percolation process that assumes “strong” interdependence across layers–once a node in any layer fails, its neighbors in other layers fail immediately and completely with all links removed. This as...

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Autores principales:	Run-Ran Liu, Daniel A. Eisenberg, Thomas P. Seager, Ying-Cheng Lai
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/641b9dcc0d274206a15d4eb6489d21a5
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spelling	oai:doaj.org-article:641b9dcc0d274206a15d4eb6489d21a52021-12-02T15:08:40ZThe “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks10.1038/s41598-018-20019-72045-2322https://doaj.org/article/641b9dcc0d274206a15d4eb6489d21a52018-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-20019-7https://doaj.org/toc/2045-2322Abstract Previous studies of multilayer network robustness model cascading failures via a node-to-node percolation process that assumes “strong” interdependence across layers–once a node in any layer fails, its neighbors in other layers fail immediately and completely with all links removed. This assumption is not true of real interdependent infrastructures that have emergency procedures to buffer against cascades. In this work, we consider a node-to-link failure propagation mechanism and establish “weak” interdependence across layers via a tolerance parameter α which quantifies the likelihood that a node survives when one of its interdependent neighbors fails. Analytical and numerical results show that weak interdependence produces a striking phenomenon: layers at different positions within the multilayer system experience distinct percolation transitions. Especially, layers with high super degree values percolate in an abrupt manner, while those with low super degree values exhibit both continuous and discontinuous transitions. This novel phenomenon we call mixed percolation transitions has significant implications for network robustness. Previous results that do not consider cascade tolerance and layer super degree may be under- or over-estimating the vulnerability of real systems. Moreover, our model reveals how nodal protection activities influence failure dynamics in interdependent, multilayer systems.Run-Ran LiuDaniel A. EisenbergThomas P. SeagerYing-Cheng LaiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-13 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Run-Ran Liu Daniel A. Eisenberg Thomas P. Seager Ying-Cheng Lai The “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks
description	Abstract Previous studies of multilayer network robustness model cascading failures via a node-to-node percolation process that assumes “strong” interdependence across layers–once a node in any layer fails, its neighbors in other layers fail immediately and completely with all links removed. This assumption is not true of real interdependent infrastructures that have emergency procedures to buffer against cascades. In this work, we consider a node-to-link failure propagation mechanism and establish “weak” interdependence across layers via a tolerance parameter α which quantifies the likelihood that a node survives when one of its interdependent neighbors fails. Analytical and numerical results show that weak interdependence produces a striking phenomenon: layers at different positions within the multilayer system experience distinct percolation transitions. Especially, layers with high super degree values percolate in an abrupt manner, while those with low super degree values exhibit both continuous and discontinuous transitions. This novel phenomenon we call mixed percolation transitions has significant implications for network robustness. Previous results that do not consider cascade tolerance and layer super degree may be under- or over-estimating the vulnerability of real systems. Moreover, our model reveals how nodal protection activities influence failure dynamics in interdependent, multilayer systems.
format	article
author	Run-Ran Liu Daniel A. Eisenberg Thomas P. Seager Ying-Cheng Lai
author_facet	Run-Ran Liu Daniel A. Eisenberg Thomas P. Seager Ying-Cheng Lai
author_sort	Run-Ran Liu
title	The “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks
title_short	The “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks
title_full	The “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks
title_fullStr	The “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks
title_full_unstemmed	The “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks
title_sort	“weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/641b9dcc0d274206a15d4eb6489d21a5
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The “weak” interdependence of infrastructure systems produces mixed percolation transitions in multilayer networks

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