Abstract
Characterising the interdependencies among urban resilience indicators is critical for effective governance, yet it remains constrained by the gap between qualitative policy constructs and quantitative system models. This paper presents a hybrid framework for constructing and characterising urban resilience dependency networks that integrates expert knowledge with transformer-based semantic inference. We synthesise 451 measurable sub-indicators from eleven global frameworks into the Urban System Abstraction Hierarchy (USAH), a reproducible graph dataset of 40 indicators across seven socio-economic domains, spanning institutional, economic, and social systems where earlier implementations stop at physical ones. Sentence-transformer embeddings project each indicator into a high-dimensional semantic space, and these are combined with an expert-derived prior to retain only dependencies supported by both semantic and operational evidence, yielding a directed dependency graph. Complex network analysis of the Vancouver case study shows a small-world topology, a modular structure in which governance-related indicators form a tightly coupled core, and a hub-sensitive robustness profile. Combining directional and positional centrality, the analysis assigns each indicator a functional role, anchor, bridge, peripheral driver, stabilizer, or receiver, distinguishing indicators that drive downstream domains from those that accumulate system state. The pipeline produces reproducible, internally consistent system representations that are transferable across cities and applicable to downstream policy analysis and network-based resilience modelling.
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The authors declare that the University Canada West Discovery Research Grant partially funded this research.
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Appendices
Appendix A The URSA Project
This paper is part of a multi-phase research initiative called the URSA Project, which aims to address socio-economic urban resiliency in Vancouver.Footnote 1 The project has five mosaics, as described in Table A1.
Appendix B Indicators structural roles
Table B2 presents the numerical values of the Driver-Receiver Index (DRI), betweenness centrality (\(C_B\)), closeness centrality (\(C_C\)), and the assigned structural roles for each indicator node. These metrics collectively characterise the functional role of each indicator within the constructed dependency graph.
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PourmoradNasseri, M., Albadvi, A. A hybrid expert-AI pipeline for constructing and characterising urban resilience indicator dependency networks. Appl Netw Sci (2026). https://doi.org/10.1007/s41109-026-00831-1
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DOI: https://doi.org/10.1007/s41109-026-00831-1
Facts Only
* The framework integrates expert knowledge with transformer-based semantic inference to characterize urban resilience dependency networks.
* Forty indicators are synthesized into the Urban System Abstraction Hierarchy (USAH) across seven socio-economic domains.
* The process involves projecting indicators into a high-dimensional semantic space using sentence-transformer embeddings.
* Expert-derived priors are combined with semantic evidence to determine dependencies, yielding a directed dependency graph.
* Network analysis of the Vancouver case study showed a small-world topology and a modular structure.
* Governance-related indicators form a tightly coupled core in the network.
* The analysis identifies functional roles for indicators, including driver, anchor, bridge, peripheral driver, stabilizer, or receiver.
* Metrics used include Driver-Receiver Index (DRI), betweenness centrality ($CB$), closeness centrality ($CC$).
