{"id":174,"date":"2026-10-13T11:07:43","date_gmt":"2026-10-13T11:07:43","guid":{"rendered":"https:\/\/therisk.global\/energy-nexus\/?page_id=174"},"modified":"2026-10-13T17:02:16","modified_gmt":"2026-10-13T17:02:16","slug":"network-science","status":"publish","type":"page","link":"https:\/\/therisk.global\/energy-nexus\/stem\/network-science\/","title":{"rendered":"Network science for energy interdependencies"},"content":{"rendered":"\n<!-- Nexus network page \u00b7 https:\/\/therisk.global\/energy-nexus\/stem\/network-science\/ \u00b7 source template \u00b7 generated by integrations\/wordpress\/network\/build.mjs, never edit this file --><script type=\"text\/x-nexus\" class=\"_iub_cs_skip\" id=\"nxe-fig-engine\" 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:where([role=\"tablist\"],[role=\"toolbar\"],[hidden],button,.nx-theme-toggle,.nx-live-slot){display:none}#nxe-n2r4rsoi.nxe img{max-width:100%;height:auto}<\/style><svg class=\"nx-defs\" aria-hidden=\"true\" focusable=\"false\" width=\"0\" height=\"0\"><defs><linearGradient id=\"nx-gi\" x1=\"0\" y1=\"0\" x2=\"1\" y2=\"1\"><stop offset=\"0\" class=\"nx-gi-a\"\/><stop offset=\"0.55\" class=\"nx-gi-b\"\/><stop offset=\"1\" class=\"nx-gi-c\"\/><\/linearGradient><linearGradient id=\"nx-giu\" gradientUnits=\"userSpaceOnUse\" x1=\"0\" y1=\"0\" x2=\"800\" y2=\"0\"><stop offset=\"0\" class=\"nx-gi-a\"\/><stop offset=\"0.55\" class=\"nx-gi-b\"\/><stop offset=\"1\" class=\"nx-gi-c\"\/><\/linearGradient><linearGradient id=\"nx-gp\" x1=\"0\" y1=\"0\" x2=\"1\" y2=\"1\"><stop offset=\"0\" class=\"nx-gp-a\"\/><stop offset=\"1\" class=\"nx-gp-b\"\/><\/linearGradient><\/defs><\/svg><section class=\"nx-hero\" data-layout=\"workbench\" aria-labelledby=\"nx-title-1\"><div class=\"nx-container\"><div class=\"nx-theme-toggle\" role=\"group\" aria-label=\"Appearance of this page\" hidden><button type=\"button\" data-mode=\"light\" aria-pressed=\"false\">Light<\/button><button type=\"button\" data-mode=\"dark\" aria-pressed=\"false\">Dark<\/button><button type=\"button\" data-mode=\"auto\" aria-pressed=\"true\">Auto<\/button><\/div><div class=\"nx-folio\" aria-label=\"Document reference\"><strong>G03 \u00b7 METHOD \u00b7 network-science<\/strong>GCRI dossier \u00b7 service level R0<\/div><div class=\"nx-hero-grid\"><div class=\"nx-hero-text\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">GCRI<\/span><span class=\"nx-eyebrow\" aria-hidden=\"true\">\u00b7<\/span><span class=\"nx-eyebrow\">Energy Nexus<\/span><span class=\"nx-eyebrow\" aria-hidden=\"true\">\u00b7<\/span><span class=\"nx-eyebrow\">Established<\/span><\/div><div class=\"nx-accent-row\"><span class=\"nx-accent-rule\" aria-hidden=\"true\"><\/span><span>Method page \u00b7 Network science and contagion<\/span><\/div><h1 id=\"nx-title-1\" class=\"nx-hero-title\">Network science for energy interdependencies<\/h1><p class=\"nx-tagline\">Network science maps the energy system as connections: lines and substations, pipelines and terminals, and the dependencies that link them to water, telecommunications, transport and finance. It identifies the nodes and pathways through which a local failure becomes a regional or cross-sector one.<\/p><div class=\"nx-actions\"><a class=\"nx-btn\" data-variant=\"primary\" href=\"https:\/\/therisk.global\/energy-nexus\/contact\/\">Make an enquiry <svg class=\"nx-arrow\" viewBox=\"0 0 16 16\" aria-hidden=\"true\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M3 8h10M9 4l4 4-4 4\"\/><\/svg><\/a><a class=\"nx-btn\" data-variant=\"secondary\" href=\"https:\/\/therisk.global\/energy-nexus\/stem\/\">Back to STEM foundation of Energy Nexus<\/a><\/div><\/div><div class=\"nx-hero-panel\"><div class=\"nx-register\"><div class=\"nx-register-head\"><span class=\"nx-eyebrow\"><strong>Method record<\/strong><\/span><span class=\"nx-eyebrow\">network-science<\/span><\/div><ol class=\"nx-register-rows\"><li><div><span class=\"nx-register-k\">Method<\/span><span class=\"nx-register-v\">Network science and contagion<\/span><\/div><\/li><li><div><span class=\"nx-register-k\">Steward<\/span><span class=\"nx-register-v\"><a class=\"nx-link\" href=\"https:\/\/therisk.global\/systems-modelling\/\">Systems Science and Modelling<\/a><\/span><\/div><\/li><li><div><span class=\"nx-register-k\">Applied in<\/span><span class=\"nx-register-v\">Energy Nexus<\/span><\/div><\/li><li><div><span class=\"nx-register-k\">Data<\/span><span class=\"nx-register-v\"><a class=\"nx-link\" href=\"#nx-sec-data\">4 inputs<\/a><\/span><\/div><\/li><li><div><span class=\"nx-register-k\">Checks<\/span><span class=\"nx-register-v\"><a class=\"nx-link\" href=\"#nx-sec-checks\">3 validation steps<\/a><\/span><\/div><\/li><li><div><span class=\"nx-register-k\">Canonical page<\/span><span class=\"nx-register-v\"><a class=\"nx-link\" href=\"https:\/\/therisk.global\/stem\/mathematics\/network-science\/\">STEM Commons<\/a><\/span><\/div><\/li><\/ol><p class=\"nx-register-foot\">GCRI \u00b7 Established \u00b7 service level R0<\/p><\/div><\/div><\/div><\/div><\/section> <nav class=\"nx-index-strip\" data-nx-spy=\"true\" aria-label=\"On this page\"><div class=\"nx-container\"><a href=\"#nx-sec-brief-answer\"><span>01<\/span>The short answer<\/a><a href=\"#nx-s-3-sec\"><span>02<\/span>Network analysis, in outline<\/a><a href=\"#nx-sec-application\"><span>03<\/span>What network science and contagion\u2026<\/a><a href=\"#nx-sec-terms\"><span>04<\/span>Terms used on this page<\/a><a href=\"#nx-sec-field\"><span>05<\/span>Energy demand and corridors in Ukraine<\/a><a href=\"#nx-sec-canvas\"><span>06<\/span>The method as a run graph<\/a><a href=\"#nx-sec-data\"><span>07<\/span>What the method consumes<\/a><a href=\"#nx-sec-checks\"><span>08<\/span>How results are checked<\/a><\/div><\/nav> <section id=\"nx-sec-brief-answer\" class=\"nx-section\" data-hue=\"energy\" data-variant=\"band\" aria-labelledby=\"nx-s-2\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">01<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">In brief<\/span><\/div><h2 id=\"nx-s-2\" class=\"nx-section-title\">The short answer.<\/h2><p class=\"nx-lede\">Infrastructure interdependency analysis is the use of network science to map the energy system as connections, from lines and substations to pipelines and terminals, and their links to water, telecommunications, transport and finance. It identifies the nodes and pathways through which a local failure becomes regional or cross-sector.<\/p><\/div><\/div><\/section><section id=\"nx-s-3-sec\" class=\"nx-section\" data-hue=\"infrastructure\" data-tone=\"alt\" aria-labelledby=\"nx-s-3\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">02<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Console<\/span><\/div><h2 id=\"nx-s-3\" class=\"nx-section-title\">Network analysis, in outline.<\/h2><p class=\"nx-lede\">The working screen behind this method: its structure, terms and states. Names are placeholders and values illustrative.<\/p><\/div><div class=\"nx-section-body\"><figure class=\"nx-fk nx-cx\" data-fk=\"cx-energy-method-network\" data-cx=\"energy.method-network\" data-variant=\"section\" aria-label=\"Network analysis: illustrative console with placeholder names and values\"><div class=\"nx-fk-head\"><div class=\"nx-fk-heading\"><h3 class=\"nx-fk-title\">Network analysis<\/h3><p class=\"nx-fk-sub\">Energy \u00b7 Network science for energy\u2026 \u00b7 Run R-5955<\/p><\/div><div class=\"nx-fk-actions\"><button type=\"button\" class=\"nx-fk-btn\" data-fk-act=\"menu\" aria-haspopup=\"true\" aria-expanded=\"false\" hidden><svg viewBox=\"0 0 24 24\" aria-hidden=\"true\" focusable=\"false\"><path d=\"M12 4v11\"\/><path d=\"m7 10 5 5 5-5\"\/><path d=\"M5 20h14\"\/><\/svg>Export<\/button><ul class=\"nx-fk-menu\" data-fk-menu=\"true\" hidden><li><button type=\"button\" data-fk-act=\"export-png\">Image<small>PNG of the map or chart<\/small><\/button><\/li><li><button type=\"button\" data-fk-act=\"export-csv\">Data<small>CSV of the figure's values<\/small><\/button><\/li><\/ul><\/div><\/div><div class=\"nx-cx-status\"><span class=\"nx-fk-pill\" data-state=\"near\"><i aria-hidden=\"true\"><\/i>Single point of failure<\/span><span class=\"nx-cx-prod\">GCRI \u00b7 Energy Nexus<\/span><\/div><div class=\"nx-cx-grid\"><div class=\"nx-fk-panel nx-cx-p\" data-w=\"3\" data-t=\"map\"><div class=\"nx-fk-panel-head\"><div><h4 class=\"nx-fk-panel-title\">Dependency graph<\/h4><p class=\"nx-fk-panel-sub\">nodes: assets \u00b7 edges: dependencies<\/p><\/div><\/div><div class=\"nx-cx-map\"><svg class=\"nx-cx-svg\" viewBox=\"0 0 480 250\" role=\"img\" aria-label=\"Dependency graph: schematic on placeholder geography. Illustrative.\" focusable=\"false\" data-nx-z=\"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\"><\/svg><\/div><\/div><div class=\"nx-fk-panel nx-cx-p\" data-w=\"3\" data-t=\"table\"><div class=\"nx-fk-panel-head\"><div><h4 class=\"nx-fk-panel-title\">Most central nodes<\/h4><\/div><\/div><div class=\"nx-fk-tablewrap\" data-fk-view=\"table:cx-energy-method-network-t1\"><table class=\"nx-fk-table\" data-fk-table=\"cx-energy-method-network-t1\" aria-label=\"Most central nodes\"><thead><tr><th scope=\"col\" data-col=\"c0\" aria-sort=\"none\"><button type=\"button\" data-fk-sort=\"c0\">Node<\/button><\/th><th scope=\"col\" data-col=\"c1\" data-num=\"true\" aria-sort=\"none\"><button type=\"button\" data-fk-sort=\"c1\">Betweenness<\/button><\/th><th scope=\"col\" data-col=\"c2\" data-num=\"true\" aria-sort=\"none\"><button type=\"button\" data-fk-sort=\"c2\">Degree<\/button><\/th><th scope=\"col\" data-col=\"c3\" aria-sort=\"none\"><button type=\"button\" data-fk-sort=\"c3\">Role<\/button><\/th><\/tr><\/thead><tbody><tr data-fk-key=\"cx-energy-method-network:r1-0\" tabindex=\"0\" role=\"row\" aria-selected=\"false\"><td>N3<\/td><td data-num=\"true\" data-sv=\"0.25\">0.25<\/td><td data-num=\"true\" data-sv=\"8\">8<\/td><td><span class=\"nx-fk-pill\" data-state=\"not\"><i aria-hidden=\"true\"><\/i>Critical<\/span><\/td><\/tr><tr data-fk-key=\"cx-energy-method-network:r1-1\" tabindex=\"0\" role=\"row\" aria-selected=\"false\"><td>N4<\/td><td data-num=\"true\" data-sv=\"0.32\">0.32<\/td><td data-num=\"true\" data-sv=\"8\">8<\/td><td><span class=\"nx-fk-pill\" data-state=\"off\"><i aria-hidden=\"true\"><\/i>Normal<\/span><\/td><\/tr><tr data-fk-key=\"cx-energy-method-network:r1-2\" tabindex=\"0\" role=\"row\" aria-selected=\"false\"><td>N5<\/td><td data-num=\"true\" data-sv=\"0.32\">0.32<\/td><td data-num=\"true\" data-sv=\"10\">10<\/td><td><span class=\"nx-fk-pill\" data-state=\"off\"><i aria-hidden=\"true\"><\/i>Normal<\/span><\/td><\/tr><tr data-fk-key=\"cx-energy-method-network:r1-3\" tabindex=\"0\" role=\"row\" aria-selected=\"false\"><td>N6<\/td><td data-num=\"true\" data-sv=\"0.21\">0.21<\/td><td data-num=\"true\" data-sv=\"13\">13<\/td><td><span class=\"nx-fk-pill\" data-state=\"off\"><i aria-hidden=\"true\"><\/i>Normal<\/span><\/td><\/tr><\/tbody><\/table><\/div><\/div><div class=\"nx-fk-panel nx-cx-p\" data-w=\"6\" data-t=\"chart\"><div class=\"nx-fk-panel-head\"><div><h4 class=\"nx-fk-panel-title\">Cascade size under removal<\/h4><\/div><\/div><svg class=\"nx-fk-svg\" viewBox=\"0 0 460 210\" width=\"460\" height=\"210\" role=\"img\" aria-label=\"Cascade size under removal\" focusable=\"false\" tabindex=\"0\" preserveAspectRatio=\"xMidYMid meet\" data-fk-chart=\"cx-energy-method-network-c2\" data-fk-xs=\"lin,0,23,36,446\" data-fk-ys=\"lin,0,100,180,20\" data-fk-series=\"Targeted removal|ink|l||0:15.5;1:17.2;2:21.6;3:26.2;4:27.9;5:33.9;6:37.3;7:39;8:45.9;9:49.6;10:54.6;11:58.1;12:56.9;13:63.2;14:66;15:71.2;16:72.3;17:72.5;18:71.2;19:74;20:73.5;21:74.2;22:81.6;23:87.4~Random removal|acc|l||0:10.2;1:14.2;2:16.9;3:22.7;4:26.4;5:26.7;6:26;7:26.1;8:27.1;9:31;10:33.1;11:34.5;12:38.4;13:38.1;14:39.1;15:42.1;16:41.6;17:43;18:47.1;19:49.7;20:51.2;21:56.9;22:56.9;23:61\" data-nx-z=\"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\"><\/svg><\/div><\/div><div class=\"nx-fk-tip\" aria-hidden=\"true\" hidden><\/div><figcaption class=\"nx-fk-cap\"><span>Network analysis: the screen's structure, terms and states for Energy.<\/span><span data-honesty=\"true\">Placeholder names and illustrative values; a design, not a record or a live system.<\/span><\/figcaption><\/figure><\/div><\/div><\/section><section id=\"nx-sec-application\" class=\"nx-section\" data-hue=\"climate\" data-variant=\"split\" aria-labelledby=\"nx-s-4\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">03<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Application<\/span><\/div><h2 id=\"nx-s-4\" class=\"nx-section-title\">What network science and contagion does here.<\/h2><p class=\"nx-lede\">Network science and contagion study how the structure of connections among entities shapes the spread of failures, information and disease. It provides tools to analyse interdependent infrastructure, supply chains and financial systems. In energy, critical infrastructure and climate and hazards, network science identifies critical nodes and pathways through which shocks propagate across sectors. It informs targeted protection and diversification to limit cascades. The canonical description is on <a class=\"nx-link\" href=\"https:\/\/therisk.global\/stem\/mathematics\/network-science\/\">the STEM Commons<\/a>.<\/p><\/div><div class=\"nx-section-body\"><div class=\"nx-cols\"><article><div class=\"nx-glyph-row\"><span class=\"nx-glyph\" data-tone=\"accent\" data-size=\"lg\"><svg class=\"nx-i\" viewBox=\"0 0 24 24\" aria-hidden=\"true\" focusable=\"false\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><rect x=\"16\" y=\"16\" width=\"6\" height=\"6\" rx=\"1\"\/><rect x=\"2\" y=\"16\" width=\"6\" height=\"6\" rx=\"1\"\/><rect x=\"9\" y=\"2\" width=\"6\" height=\"6\" rx=\"1\"\/><path d=\"M5 16v-3a1 1 0 0 1 1-1h12a1 1 0 0 1 1 1v3\"\/><path d=\"M12 12V8\"\/><\/svg><\/span><\/div><h3 class=\"nx-h3 nx-mt-2\">Interdependency mapping<\/h3><p class=\"nx-p nx-mt-1\">Substations are linked to the water works, hospitals, telecommunications sites and fuel terminals they supply, and those back to the grid assets that depend on them.<\/p><\/article><article><div class=\"nx-glyph-row\"><span class=\"nx-glyph\" data-tone=\"accent\" data-size=\"lg\"><svg class=\"nx-i\" viewBox=\"0 0 24 24\" aria-hidden=\"true\" focusable=\"false\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><circle cx=\"12\" cy=\"4.5\" r=\"2.5\"\/><path d=\"m10.2 6.3-3.9 3.9\"\/><circle cx=\"4.5\" cy=\"12\" r=\"2.5\"\/><path d=\"M7 12h10\"\/><circle cx=\"19.5\" cy=\"12\" r=\"2.5\"\/><path d=\"m13.8 17.7 3.9-3.9\"\/><circle cx=\"12\" cy=\"19.5\" r=\"2.5\"\/><\/svg><\/span><\/div><h3 class=\"nx-h3 nx-mt-2\">Cascades on multilayer networks<\/h3><p class=\"nx-p nx-mt-1\">Failures are introduced in one layer and propagated to dependent layers, showing which combinations of losses fragment service across sectors.<\/p><\/article><article><div class=\"nx-glyph-row\"><span class=\"nx-glyph\" data-tone=\"accent\" data-size=\"lg\"><svg class=\"nx-i\" viewBox=\"0 0 24 24\" aria-hidden=\"true\" focusable=\"false\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M19.07 4.93A10 10 0 0 0 6.99 3.34\"\/><path d=\"M4 6h.01\"\/><path d=\"M2.29 9.62A10 10 0 1 0 21.31 8.35\"\/><path d=\"M16.24 7.76A6 6 0 1 0 8.23 16.67\"\/><path d=\"M12 18h.01\"\/><path d=\"M17.99 11.66A6 6 0 0 1 15.77 16.67\"\/><circle cx=\"12\" cy=\"12\" r=\"2\"\/><path d=\"m13.41 10.59 5.66-5.66\"\/><\/svg><\/span><\/div><h3 class=\"nx-h3 nx-mt-2\">Criticality ranking<\/h3><p class=\"nx-p nx-mt-1\">Centrality and percolation measures rank assets by how many dependent services rely on them, as one input to protection priorities set by operators.<\/p><\/article><\/div><\/div><\/div><\/section><section id=\"nx-sec-terms\" class=\"nx-section\" data-hue=\"energy\" data-tone=\"alt\" data-variant=\"split\" aria-labelledby=\"nx-s-5\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">04<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Key terms<\/span><\/div><h2 id=\"nx-s-5\" class=\"nx-section-title\">Terms used on this page.<\/h2><p class=\"nx-lede\">Each term as this page uses it. Where a standard-setting body defines the term, the wording follows that body.<\/p><\/div><div class=\"nx-section-body\"><div class=\"nx-table-wrap\"><table class=\"nx-table\" data-stack=\"true\"><thead><tr><th scope=\"col\">Term<\/th><th scope=\"col\">Definition<\/th><\/tr><\/thead><tbody><tr><td data-label=\"Term\">Interdependency<\/td><td data-label=\"Definition\">A two-way dependency between infrastructures, such as power needing telecoms for control while telecoms need power to run.<\/td><\/tr><tr><td data-label=\"Term\">Multilayer network<\/td><td data-label=\"Definition\">A network model with several layers, one per infrastructure, joined by dependency links.<\/td><\/tr><tr><td data-label=\"Term\">Betweenness centrality<\/td><td data-label=\"Definition\">How often a node lies on shortest paths between others, a common measure of its criticality.<\/td><\/tr><\/tbody><\/table><\/div><\/div><\/div><\/section><section id=\"nx-sec-field\" class=\"nx-section\" data-hue=\"infrastructure\" aria-labelledby=\"nx-s-6\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">05<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Geography<\/span><\/div><h2 id=\"nx-s-6\" class=\"nx-section-title\">Energy demand and corridors in Ukraine.<\/h2><p class=\"nx-lede\">Where demand concentrates in cities and the rail, road and port corridors that move fuel and equipment, shown for Ukraine as an example geography for this subject.<\/p><\/div><div class=\"nx-section-body\"><div class=\"nx-canvas-wrap\"><div class=\"nx-map nx-cmap\" data-nx-map=\"ctx\" data-cmap=\"ukraine:energy\" data-ramp=\"orange\" data-basis=\"case\" data-focus=\"0 0 2000 1290|718 686 1014 1094|1168 548 1524 783|945 120 1195 397\"><figure class=\"nx-fk\" data-fk=\"map-ukraine-energy\" data-ramp=\"orange\" 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\"><figcaption class=\"nx-fk-cap\"><span>Where demand concentrates in cities and the rail, road and port corridors that move fuel and equipment.<\/span><span data-honesty=\"true\">Indicator derived from Natural Earth at map scale; a screening view, not an assessment.<\/span><\/figcaption><\/figure><div class=\"nx-live-slot nx-live-slot--map\" data-nxf-slot=\"map\" data-nxf-kind=\"map\" data-nxf-resource=\"nexus:\/\/gcri\/G03\/stem\/network-science\/#map\" data-nxf-title=\"Energy Nexus live map\" data-nxf-height=\"560\" hidden><\/div><div class=\"nx-map-hud\"><span class=\"nx-eyebrow\">GCRI \u00b7 Energy Nexus \u00b7 field<\/span><span class=\"nx-eyebrow nx-map-hud-right\">DESIGN FIGURE<\/span><\/div><\/div><\/div><\/div><\/div><\/section><section id=\"nx-sec-canvas\" class=\"nx-section\" data-hue=\"climate\" data-tone=\"alt\" aria-labelledby=\"nx-s-7\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">06<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Canvas<\/span><\/div><h2 id=\"nx-s-7\" class=\"nx-section-title\">The method as a run graph.<\/h2><p class=\"nx-lede\">Data from the source register feeds the methods; calibration and an independent test gate the estimate and its limits; the decision stays with the competent authority.<\/p><\/div><div class=\"nx-section-body\"><div class=\"nx-plate\" data-wide=\"true\"><div class=\"nx-plate-label\"><span class=\"nx-eyebrow\"><strong>Method canvas<\/strong> \u00b7 Network science and contagion as applied here<\/span><span class=\"nx-eyebrow\">Design, not a record<\/span><\/div><div class=\"nx-figure-frame\" data-scene=\"true\"><svg class=\"nx-figure nx-ui nx-dag\" viewBox=\"0 0 1200 564\" data-nx-dag=\"true\" data-w=\"1200\" data-h=\"564\" role=\"img\" aria-labelledby=\"nx-dag-g03-stem-network-science-systemic-cascade-t nx-dag-g03-stem-network-science-systemic-cascade-d\" data-nx-z=\"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\"><title id=\"nx-dag-g03-stem-network-science-systemic-cascade-t\">Network science and contagion in Energy Nexus: a cascade across interdependent systems<\/title><desc id=\"nx-dag-g03-stem-network-science-systemic-cascade-d\">A hazard hits one system; dependencies carry the failure into others; impact grows until buffers, redundancy or restoration priorities stop it; the analysis ranks the links to strengthen. Design of the process, not a record of a run.<\/desc><\/svg><\/div><\/div><p class=\"nx-caption\"><strong>Fig. 01<\/strong><span>Nodes carry their type, metrics and state; connectors show what feeds what; the gates are the validation steps; the timeline is one application. Design of the method's use, not a record of a run.<\/span><\/p><\/div><\/div><\/section><section id=\"nx-sec-data\" class=\"nx-section\" data-hue=\"energy\" data-variant=\"split\" aria-labelledby=\"nx-s-8\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">07<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Data<\/span><\/div><h2 id=\"nx-s-8\" class=\"nx-section-title\">What the method consumes.<\/h2><p class=\"nx-lede\">Datasets and records used by network science and contagion on this platform, with the role each plays and the label its values carry. Sources are listed in <a class=\"nx-link\" href=\"https:\/\/therisk.global\/energy-nexus\/research\/sources\/\">the source register<\/a>.<\/p><\/div><div class=\"nx-section-body\"><div class=\"nx-table-wrap\"><table class=\"nx-table\" data-stack=\"true\"><thead><tr><th scope=\"col\">Data<\/th><th scope=\"col\">Role<\/th><th scope=\"col\">Label<\/th><\/tr><\/thead><tbody><tr><td data-label=\"Data\">OpenStreetMap power and infrastructure layers<\/td><td data-label=\"Role\">Topology where official data are not public<\/td><td data-label=\"Label\"><span class=\"nx-chip\">REPORTED<\/span><\/td><\/tr><tr><td data-label=\"Data\">Operator network data under agreement<\/td><td data-label=\"Role\">Authoritative topology<\/td><td data-label=\"Label\"><span class=\"nx-chip\">OFFICIAL<\/span><\/td><\/tr><tr><td data-label=\"Data\">Critical facility registers<\/td><td data-label=\"Role\">Locations of dependent services<\/td><td data-label=\"Label\"><span class=\"nx-chip\">OFFICIAL<\/span><\/td><\/tr><tr><td data-label=\"Data\">Fuel and gas pipeline databases<\/td><td data-label=\"Role\">Fuel supply links<\/td><td data-label=\"Label\"><span class=\"nx-chip\">REPORTED<\/span><\/td><\/tr><\/tbody><\/table><\/div><div class=\"nx-live-slot\" data-nxf-slot=\"data\" data-nxf-kind=\"data\" data-nxf-resource=\"nexus:\/\/gcri\/G03\/stem\/network-science\/#data\" data-nxf-title=\"Method record\" data-nxf-height=\"520\" hidden><\/div><div class=\"nx-live-slot\" data-nxf-slot=\"evidence\" data-nxf-kind=\"evidence\" data-nxf-resource=\"nexus:\/\/gcri\/G03\/stem\/network-science\/#evidence\" data-nxf-title=\"Evidence\" data-nxf-height=\"520\" hidden><\/div><\/div><\/div><\/section><section id=\"nx-sec-checks\" class=\"nx-section\" data-hue=\"infrastructure\" data-tone=\"alt\" data-variant=\"band\" aria-labelledby=\"nx-s-9\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">08<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Validation<\/span><\/div><h2 id=\"nx-s-9\" class=\"nx-section-title\">How results are checked.<\/h2><p class=\"nx-lede\">Models are checked by reproducing observed cascades and outbreaks. Robustness of results to missing or uncertain links is tested.<\/p><\/div><div class=\"nx-section-body\"><div class=\"nx-table-wrap\"><table class=\"nx-table\" data-stack=\"true\"><thead><tr><th scope=\"col\">Check<\/th><th scope=\"col\">How it is done<\/th><\/tr><\/thead><tbody><tr><td data-label=\"Check\">Historical cascade reproduction<\/td><td data-label=\"How it is done\">Models are tested on documented blackouts to see whether they reproduce the observed spread<\/td><\/tr><tr><td data-label=\"Check\">Missing link sensitivity<\/td><td data-label=\"How it is done\">Results are re-run with links removed or added at random to test how much incomplete data changes the rankings<\/td><\/tr><tr><td data-label=\"Check\">Disclosure review<\/td><td data-label=\"How it is done\">Published network outputs are generalised so that sensitive assets cannot be singled out<\/td><\/tr><\/tbody><\/table><\/div><p class=\"nx-note nx-mt-3\">Network data are often incomplete or confidential. Static network models may miss adaptive behaviour during cascades.<\/p><\/div><\/div><\/section><section id=\"nx-sec-connections\" class=\"nx-section\" data-hue=\"climate\" data-variant=\"split\" aria-labelledby=\"nx-s-10\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">09<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Connections<\/span><\/div><h2 id=\"nx-s-10\" class=\"nx-section-title\">Topics that rely on this method.<\/h2><\/div><div class=\"nx-section-body\"><ul class=\"nx-list\" data-nav=\"true\"><li><a class=\"nx-link\" href=\"https:\/\/therisk.global\/energy-nexus\/topics\/energy-security\/\"><span>Energy security<\/span><svg class=\"nx-arrow\" viewBox=\"0 0 16 16\" aria-hidden=\"true\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M3 8h10M9 4l4 4-4 4\"\/><\/svg><\/a><\/li><li><a class=\"nx-link\" href=\"https:\/\/therisk.global\/energy-nexus\/topics\/power-grids-and-interconnection\/\"><span>Power grids and interconnection<\/span><svg class=\"nx-arrow\" viewBox=\"0 0 16 16\" aria-hidden=\"true\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M3 8h10M9 4l4 4-4 4\"\/><\/svg><\/a><\/li><li><a class=\"nx-link\" href=\"https:\/\/therisk.global\/energy-nexus\/topics\/industrial-energy-systems\/\"><span>Industrial energy systems<\/span><svg class=\"nx-arrow\" viewBox=\"0 0 16 16\" aria-hidden=\"true\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M3 8h10M9 4l4 4-4 4\"\/><\/svg><\/a><\/li><li><a class=\"nx-link\" href=\"https:\/\/therisk.global\/energy-nexus\/topics\/grid-disruption-and-recovery\/\"><span>Grid disruption and recovery<\/span><svg class=\"nx-arrow\" viewBox=\"0 0 16 16\" aria-hidden=\"true\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M3 8h10M9 4l4 4-4 4\"\/><\/svg><\/a><\/li><li><a class=\"nx-link\" href=\"https:\/\/therisk.global\/energy-nexus\/topics\/radiological-and-nuclear-risk\/\"><span>Radiological and nuclear risk<\/span><svg class=\"nx-arrow\" viewBox=\"0 0 16 16\" aria-hidden=\"true\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M3 8h10M9 4l4 4-4 4\"\/><\/svg><\/a><\/li><\/ul><\/div><\/div><\/section><section id=\"nx-sec-stewardship\" class=\"nx-section\" data-hue=\"energy\" data-tone=\"alt\" data-variant=\"split\" aria-labelledby=\"nx-s-11\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">10<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Stewardship<\/span><\/div><h2 id=\"nx-s-11\" class=\"nx-section-title\">Who maintains the method.<\/h2><p class=\"nx-lede\"><a class=\"nx-link\" href=\"https:\/\/therisk.global\/systems-modelling\/\">Systems Science and Modelling<\/a> stewards network science and contagion for the Consortium and reviews how it is applied across platforms.<\/p><\/div><div class=\"nx-section-body\"><p class=\"nx-p\"><a class=\"nx-link\" href=\"https:\/\/therisk.global\/stem\/mathematics\/network-science\/\">Canonical page: Network science and contagion<\/a><\/p><\/div><\/div><\/section><section id=\"nx-s-12-sec\" class=\"nx-section\" data-hue=\"infrastructure\" aria-labelledby=\"nx-s-12\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">11<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Connected<\/span><\/div><h2 id=\"nx-s-12\" class=\"nx-section-title\">Where this page leads across the Consortium.<\/h2><\/div><div class=\"nx-section-body\"><ul class=\"nx-dest\"><li><a class=\"nx-dest-card\" href=\"https:\/\/therisk.global\/stem\/mathematics\/network-science\/\"><span class=\"nx-dest-top\"><span class=\"nx-dest-rel\">Canonical method page<\/span><span class=\"nx-dest-host\">GCRI<\/span><\/span><span class=\"nx-dest-title\">Network science and contagion<\/span><span class=\"nx-dest-why\">Platform application links to the canonical method page.<\/span><span class=\"nx-dest-go\" aria-hidden=\"true\"><svg class=\"nx-arrow\" viewBox=\"0 0 16 16\" aria-hidden=\"true\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M3 8h10M9 4l4 4-4 4\"\/><\/svg><\/span><\/a><\/li><li><a class=\"nx-dest-card\" href=\"https:\/\/therisk.global\/systems-modelling\/stem\/network-science\/\"><span class=\"nx-dest-top\"><span class=\"nx-dest-rel\">Steward platform<\/span><span class=\"nx-dest-host\">GCRI<\/span><\/span><span class=\"nx-dest-title\">Network science methods<\/span><span class=\"nx-dest-why\">Systems Science and Modelling stewards this method.<\/span><span class=\"nx-dest-go\" aria-hidden=\"true\"><svg class=\"nx-arrow\" viewBox=\"0 0 16 16\" aria-hidden=\"true\" fill=\"none\" stroke=\"currentColor\" stroke-width=\"1.5\" stroke-linecap=\"round\" stroke-linejoin=\"round\"><path d=\"M3 8h10M9 4l4 4-4 4\"\/><\/svg><\/span><\/a><\/li><\/ul><\/div><\/div><\/section><section id=\"nx-s-13-sec\" class=\"nx-section\" data-hue=\"climate\" data-tone=\"alt\" aria-labelledby=\"nx-s-13\"><div class=\"nx-container\"><div class=\"nx-section-head\"><div class=\"nx-eyebrow-row\"><span class=\"nx-eyebrow\">12<\/span><span class=\"nx-rule\" aria-hidden=\"true\"><\/span><span class=\"nx-eyebrow\">Questions<\/span><\/div><h2 id=\"nx-s-13\" class=\"nx-section-title\">Questions and answers.<\/h2><\/div><div class=\"nx-section-body\"><div class=\"nx-faq\"><details><summary>What are the limits of network science and contagion in this field?<\/summary><div class=\"nx-answer\">Network data are often incomplete or confidential. Static network models may miss adaptive behaviour during cascades.<\/div><\/details><details><summary>How are results checked?<\/summary><div class=\"nx-answer\">Models are checked by reproducing observed cascades and outbreaks. Robustness of results to missing or uncertain links is tested.<\/div><\/details><details><summary>Are the values on this page real?<\/summary><div class=\"nx-answer\">The data names, roles and checks are real descriptions of practice. 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