ssrn-6359303
Energy Geopolitics in the Arctic: A Scenario-Based Strategic Analysis
*Konstantinos Pappas1,2,3, Zainab Ashkanani1,2
1. Texas A&M Energy Institute, Texas A&M University, College Station, TX 77843, United States
2. Biological and Agricultural Engineering Department, Texas A&M University, College Station, TX
77843, United States
3. Borders & Migration Program, Mosbacher Institute for Trade, Economics, and Public Policy, Bush
School of Government and Public Service, Texas A&M University, College Station, TX 77843,
United States
Email: *kostis.pappas@tamu.edu , Phone: +1 979-862-5927
Abstract
The Arctic represents a critical theater where accelerating ice melting, vast resource potential, and great
power competition converge to reshape global strategic dynamics. This paper provides a comprehensive,
theory-driven analysis of Arctic geopolitics through the classical geostrategic frameworks. Mackinder’s
Heartland, Spykman’s Rimland, and Mahan’s Sea Power theories, examining policies of key state- and
non-state-actors. Russia and China leverage a fusion of Heartland and Sea Power doctrines to establish a
formidable, sanctions-resistant strategic axis, contrasted with the Western coalition’s Rimland-based
approach hampered by coordination challenges and investment deficits. Using scenario modeling, we
project four plausible regional power distributions through 2035. Findings indicate that absent dramatic
Western strategic commitment, Sino-Russian dominance of the Eastern Arctic is most probable, driven by
irreversible first-mover advantages from operational expertise and multi-billion-dollar infrastructure
investments. This creates a new geopolitical equilibrium with profound implications for global energy
security and international relations. The study directly addresses a critical gap in energy strategy research
by integrating geostrategic theory with quantitative energy infrastructure assessment, offering a predictive
framework for how Arctic energy resources will be controlled, transported, and distributed under competing
geopolitical alignments. These resources, comprising 13% of global undiscovered oil and 30% of natural
gas reserves, represent a globally significant energy endowment whose governance will be shaped by the
interplay of Eastern and Western bloc positioning. The analysis demonstrates that the Arctic energy
competition carries direct implications for Sustainable Development Goal 7 (Affordable and Clean Energy),
as the consolidation of energy supply routes under Eastern bloc control fundamentally reshapes global
energy affordability, reliability, and access pathways.
Keywords: Arctic, Energy Geopolitics, Energy Security, SDG7, Geostrategy, Sea Power, Scenario
Analysis
1. Introduction: The Arctic as a new geopolitical frontier
The Arctic is undergoing a rapid, multifaceted transformation driven by climate change and the
unprecedented melting of sea ice [1, 2]. This physical reality is unlocking vast natural resources, including
an estimated ninety billion barrels of undiscovered oil and 1,670 trillion cubic feet of natural gas,
representing 13% and 30% of global undiscovered reserves, respectively, while simultaneously opening
maritime trade routes that could reduce shipping distances by up to 42% [3]. The transformation of the
Arctic from a region of “exceptional cooperation” to one of intensifying competition reflects both
environmental realities and geopolitical tensions. Vessel traffic has increased 108% from 6.1 million
nautical miles in 2013 to 12.7 million in 2024, and the Northern Sea Route cargo volume has grown from
1.5 million tons to a projected 35-40 million tons by 2025, creating economic facts on the ground that
political declarations cannot easily reverse respectively [3, 4]. This paper contends that the current
geopolitical dynamics are not random but are, consciously or not, modern manifestations of classical
geostrategic theories. The strategies of key actors, i.e., Russia, China, the United States, and the European
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Union, are re-engaging with the core tenets of Mackinder’s Heartland, Spykman’s Rimland, and Mahan’s
Sea Power doctrines.
The study employs a mixed-methods approach, first applying a theoretical framework to interpret policy
and then, using a four-scenario model to project plausible future outcomes, based on current trends and
quantitative data. By synthesizing these approaches, the paper moves beyond description to explain causal
relationships and strategic logic, demonstrating that the unfolding competition is a predictable consequence
of historical doctrines accelerated by environmental change and technological asymmetries.
The primary aim of this research is to provide a comprehensive, theory-driven analysis of geopolitical
competition in the Arctic, with a specific focus on its implications for global energy security and
international power dynamics. To achieve this, the paper’s main objectives are to first apply and critically
evaluate the applicability of classical geostrategic theories (Heartland, Rimland, and Sea Power) to the
contemporary policies and actions of Russia, China, and the Western coalition [3]. The analysis will then
proceed to analyze the strategic priorities of the key actors in the Arctic, i.e., Russia’s pursuit of energy
dominance, China’s quest for energy diversification, the United States’ focus on security, and the European
Union’s clean energy transition, and contextualize them within the broader geostrategic frameworks [1, 5].
The paper will then present a detailed scenario analysis for the period leading up to 2035, which will be
supported by extensive quantitative data on infrastructure, investment, and trade volumes. Finally, this will
lead to a discussion of the second- and third-order implications of these scenarios, including the role of
governance vacuums, economic and technological asymmetries, and the paradoxical effects of international
sanctions. Critically, this research positions Arctic competition as fundamentally an energy strategy
question, rather than a purely geopolitical one. The Arctic’s energy resources constitute the primary driver
of state investment and strategic positioning, and the outcomes of this competition will directly determine
global energy supply diversification, pricing structures, and the feasibility of achieving SDG7 targets for
affordable and clean energy access [6]. The geopolitical frameworks employed herein serve as analytical
lenses, through which energy strategy decisions are interpreted, contributing to the growing body of
literature that recognizes the inseparability of energy policy from geopolitical analysis [7, 8]. By framing
the Arctic as a theater of energy strategy competition, this paper responds to calls within the energy research
community for more integrated, forward-looking assessments that connect resource governance with
broader sustainability objectives [9].
2. Literature Review: Re-evaluating geostrategy in the 21st century Arctic
2.1. The Heartland Theory: Russia’s Arctic extension
Harold Mackinder’s Heartland Theory, originally developed in 1904, posits that control of the Eurasian
landmass, or “Heartland,” is the key to global power. Described as the “greatest natural fortress on Earth,”
the Heartland’s inaccessibility by sea and its vast size were seen as formidable advantages. Mackinder
initially applied this theory to Russia’s presence in the region and its ambitions to expand into periphery
regions [3]. The Russian Arctic is home to massive natural gas reserves, with 83% of the nation’s 638
billion cubic meters of annual production originating from these territories [10]. Energy exports are a central
pillar of Russia’s geopolitical leverage, comprising approximately 20% of its GDP [11, 12]. Control of the
Northern Sea Route (NSR), which runs entirely through its internal waters, solidifies this Heartland-centric
approach, transforming the NSR from a simple trade passage into a projection of Russia’s land-based power
[13, 14].
The Russian approach to the Arctic is not a new or reactive policy but a long-standing strategic continuation
of its Heartland doctrine, dating back to the Imperial Russian Ministry of Foreign Affairs’ territorial claims
in 1916 [15]. This historical continuity suggests a deep-seated, systemic commitment that is far more
resilient than the often-reactive and fragmented policies of Western nations. The extensive investment in
its icebreaker fleet, numbering over 40 active vessels, including 10 nuclear-powered ships, and the
modernization of Soviet-era military bases, are a modern-day execution of Mackinder’s principle [16, 17].
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The year-round operation of the 1,343 nautical mile Dudinka-Murmansk route since the 1978-79 winter
season has provided over 45 years of continuous operational experience that cannot be purchased or quickly
developed elsewhere. These capabilities are transforming the “natural fortress” from a defensive concept
into a platform for proactive power projection.
2.2. The Rimland Theory: The Western Coalition’s strategy
In contrast to Mackinder, Nicolas Spykman’s Rimland Theory, developed in 1942, argued that global power
lay in controlling the coastal periphery of Eurasia, known as the “Rimland”. This framework emphasizes
the importance of maritime proximity and access to the outside world, positioning a unified Rimland as a
force capable of containing the Heartland’s influence. The North American and European Arctic powers,
including the United States, Canada, Norway, Denmark (via Greenland), Sweden, and Finland, fit neatly
into this theoretical framework. Their primary strategy is to form alliances, most notably NATO, to counter
and contain potential Heartland influence [3, 18]. The United States’ foreign policy, as outlined in its
National Strategy for the Arctic Region and the Department of Defense Arctic Strategy, is heavily focused
on “Security/Defense” and “International Cooperation” with other Rimland states [19, 20]. While the
Rimland approach is theoretically powerful, due to the combined economic and military strength of the
Western alliance, the analysis reveals significant “coordination challenges” and “infrastructure gaps.” The
coalition’s power remains latent and aggregated, whereas Russia’s is concentrated and deployed. The vast
disparity in capabilities, such as Russia’s 20-to-1 operational advantage in icebreakers and its network of
over 40 active Arctic military bases transforms the theoretical Rimland advantage into a practical
disadvantage [17]. The legal dispute between the United States and Canada over the status of the Northwest
Passage (NWP) further highlights the internal friction that hampers the coalition’s ability to present a
unified and proactive Arctic strategy [17, 21].
2.3. The Sea Power Theory: China’s maritime gambit
Captain Alfred Thayer Mahan’s Sea Power Theory, articulated in 1890, posits that a nation’s ability to
project power and secure global trade is dependent on its control of the seas (Britannica Editors, 2016).
Despite not being an Arctic coastal state, China’s declaration as a “near-Arctic state” in its 2018 Arctic
Policy White Paper is a clear and direct application of Mahan’s doctrine [22, 23]. China’s “Polar Silk Road”
initiative, a maritime extension of its Belt and Road Initiative, is a strategic move to gain influence over
Arctic maritime passages, specifically the NSR and the Transpolar Sea Route (TSR) [22, 23]. This strategy
is driven by a desire to diversify its energy security and global trade routes, thus reducing its heavy
dependence on vulnerable maritime chokepoints like the Strait of Malacca, through which 80% of its energy
imports currently transit [10].
The key to China’s success in this endeavor is its investment strategy. By providing tens of billions of
dollars in capital for Russian Arctic projects, such as the Yamal LNG facility and Arctic LNG 2, China is
effectively buying influence and securing access to the very routes and resources that will define future
maritime trade [24, 25]. Agent-based simulations of global LNG trade confirm the strategic rationale for
this investment, projecting that under ice-free conditions the North-East Passage would channel 30–34
MTPA of LNG by 2035, predominantly of Russian origin and destined for Asian Pacific importers [26].
The partnership is compelling for China given that the NSR reduces the Shanghai-Rotterdam distance by
42% and saves approximately 14 days of transit time. This economic partnership creates a new and powerful
geostrategic axis that combines Russia’s Heartland-based territorial control and operational expertise with
China’s capital-driven Sea Power ambitions. The two nations established the Russian-Chinese
Subcommission on Cooperation on the Northern Sea Route in June 2024, to support a joint venture to build
ships and container lines [27].
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2.4. Arctic Energy Strategy Literature: Gaps and Contributions
The existing literature on Arctic energy development reveals several critical gaps that this study addresses.
While substantial research has examined individual dimensions of Arctic geopolitics, resource assessments,
shipping routes, or bilateral relationships, few studies have attempted to synthesize these elements within
an integrated geostrategic framework that projects quantitative future outcomes.
2.4.1 Energy Strategy and Scenario Modeling in the Arctic
Energy scenario research has evolved significantly over the past decade, with scholars increasingly
recognizing that scenarios play a crucial role in energy policy-making, economic decisions, and public
debate [28]. However, energy scenarios remain highly controversial: assumptions and methods are often
not transparent, and the robustness of conclusions frequently remains unclear [28]. This methodological
challenge is particularly acute in Arctic energy research, where geopolitical variables introduce additional
uncertainty layers beyond standard techno-economic parameters.
Early quantitative assessments of Arctic energy potential, such as the work by Leal on international oil
company (IOC) strategies, demonstrated that, while Arctic resources appear comparatively attractive given
undiscovered potential, drilling costs can be substantially higher due to remoteness and technical challenges
[29]. Leal’s analysis of the five major IOCs revealed that these companies invested close to five billion
dollars in the Arctic during the 2000s, yet Arctic production represented only 15% of their total oil output
and 6% of gas output in 2012 [29]. This finding established an important baseline: despite significant
resource endowments, commercial development faced substantial barriers that shaped strategic corporate
behavior. At the intersection of energy trade modeling and Arctic route analysis, Meza et al. (2023)
employed agent-based modeling to simulate global LNG trade under Arctic route scenarios, demonstrating
that the North-East Passage primarily benefits Russian LNG exports to Asian markets while remaining
marginal for other suppliers [26].
2.4.2 Russian Energy Strategy and European Dependencies
The role of Russian energy exports in shaping geopolitical relationships has received considerable scholarly
attention. Sander’s scenario analysis of Russian natural gas in Europe concluded that absent very drastic
policy interventions, Russian natural gas will continue to play a prominent role in the EU [30]. This finding
proved prescient, as subsequent events demonstrated the profound dependencies that had developed.
Konoplyanik’s earlier work on Russian gas adaptation highlighted the structural challenges facing
Gazprom’s long-term gas export contracts within a tightening European market niche, noting that risks and
uncertainties for oil-indexed contracts increased substantially under the EU’s Third Energy Package [31].
The literature on EU-Russia energy relations took a decisive turn following the 2022 invasion of Ukraine.
Czyżak et al. examined Europe’s energy security transformation from Russian dependence toward
renewable reliance, finding that gas price differences would remain prominent until 2026 due to tight global
markets, but that beyond 2026, LNG expansion and Europe’s decarbonization commitments would lessen
the price impact, making Russian gas economically irrelevant [28]. Their work represents a significant
methodological advance, integrating multiple scenario pathways with quantitative projections, an approach
we extend to Arctic-specific dynamics.
2.4.3 Sanctions, Energy Trade, and Geopolitical Realignment
The impact of economic sanctions on global energy trade patterns has emerged as a critical research frontier.
Zheng et al. employed complex network theory to analyze how sanctions on Russia reshaped global fossil
energy trade, finding that sanctions promoted the transfer of energy control centers from Europe to Asia
[32]. Their analysis demonstrated that to mitigate sanction impacts, Russia would shift its fossil-energy
export focus to China and other Asian countries, a prediction that our empirical data on Arctic shipping
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patterns strongly confirms. Their finding that crude oil trade has the largest potential impact, while natural
gas trade experiences the largest direct loss, provides important context for understanding Sino-Russian
Arctic LNG cooperation.
Bakhsh et al. examined the broader relationship between geopolitics, economic complexity, and sustainable
energy transition, arguing that geopolitical factors significantly influence national energy strategy choices
[7]. Their work highlights how environmental governance and economic complexity mediate the
relationship between geopolitical pressures and energy transition pathways, dynamics highly relevant to
understanding why Western Arctic policies have diverged so substantially from Eastern approaches.
2.4.4 The Global Energy Transformation Context
The Arctic energy competition unfolds against a backdrop of accelerating global energy transformation.
Gielen et al.s influential analysis demonstrated that renewable energy can supply two-thirds of total global
energy demand by 2050, contributing to the bulk of greenhouse gas emissions reduction needed to limit
warming below 2°C [9]. Their finding that a six-fold acceleration of renewables growth is needed, with
highest growth estimated for wind and solar PV, has profound implications for Arctic hydrocarbon
development. If global energy demand increasingly shifts toward renewables, the strategic window for
Arctic fossil fuel development narrows considerably, intensifying the urgency of current infrastructure
investments and explaining the accelerated Sino-Russian partnership formation we document.
2.4.5 Research Gaps Addressed by This Study
Despite this rich literature, several critical gaps remain that our study addresses. First, existing Arctic energy
research has largely remained descriptive, cataloging capabilities and resources without projecting
quantitative future outcomes. While scenario studies exist for European gas markets and global energy
transitions, no comparable integrated scenario analysis has been conducted specifically for Arctic strategic
positioning that combines geostrategic theory with quantitative machine learning methods. Second, the
literature has treated geopolitical factors as exogenous constraints rather than endogenous variables within
energy strategy models. Our approach explicitly operationalizes classical geostrategic theories,
Mackinder’s Heartland, Spykman’s Rimland, and Mahan’s Sea Power doctrines, into quantifiable metrics
that can be systematically analyzed and projected. Third, prior research has examined bilateral relationships
(Russia-EU, Russia-China, US-Russia) in isolation rather than as an interconnected system of competitive
dynamics. Our multi-scenario framework captures how actions by one actor influence the strategic position
of others, revealing compound effects that bilateral analyses miss. Fourth, the paradoxical effects of
Western sanctions on Arctic development remain underexplored. While Zheng et al. documented trade
pattern shifts, no study has quantified how sanctions accelerated Sino-Russian partnership formation
specifically in the Arctic context, creating the strategic axis that now dominates regional energy
infrastructure [32].
By synthesizing geostrategic theory with quantitative scenario modeling and machine learning validation,
this paper provides a methodological contribution applicable to energy strategy research beyond the Arctic
context, while generating policy-relevant projections for one of the world’s most consequential emerging
energy frontiers. This study also contributes to the achievement of Sustainable Development Goal 7
(Affordable and Clean Energy) by examining how Arctic energy developments will shape global LNG
supply diversification, energy pricing dynamics, and the strategic calculus of energy-importing nations
seeking to balance security considerations against decarbonization imperatives.
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3. Methodology
3.1 Methodological framework
The rapidly evolving Arctic landscape presents methodological challenges that traditional analysis alone
cannot address. This study employs a hybrid methodology synthesizing qualitative geopolitical analysis
with machine learning techniques, projecting Arctic power dynamics from 2025 through 2035. Our
approach operationalizes classical theories, Mackinder’s Heartland Theory, Spykman’s Rimland Theory,
and Mahan’s Sea Power doctrine [33-37], into quantifiable metrics suitable for computational analysis
while maintaining theoretical rigor.
The methodology unfolds through five interconnected phases. First, we establish comprehensive baseline
Arctic capabilities through systematic documentation of seventy-eight distinct variables, ensuring our
analysis rests on solid empirical ground. Second, Multi-Criteria Decision Analysis (MCDA) [38-40]
synthesizes these diverse metrics into strategic position assessments for four competing scenarios. Third,
theory-guided feature engineering [41] transforms raw data into 47 meaningful features capturing dynamic
geopolitical relationships. Fourth, an ensemble of six machine learning algorithms [42-45] trained on 5,000
synthetic samples explores theoretical parameter spaces beyond historical precedent. Finally, Monte Carlo
simulation [46, 47] with 10,000 iterations quantifies uncertainty, acknowledging the inherent unknowns in
geopolitical projection.
3.2 Data collection and baseline assessment
3.2.1 Data sources and triangulation
Establishing an accurate baseline of current Arctic capabilities forms the foundation for meaningful
projection of future scenarios [48]. We conducted a systematic examination of seventy-eight distinct
geopolitical, economic, and infrastructural variables, each verified through multiple independent sources.
Primary data derived from Arctic Council assessments, national strategy documents, the Arctic Ship Traffic
Data System, International Energy Agency statistics, defense capability evaluations, and infrastructure
investment records from national budgets and corporate reports.
To ensure reliability, we implemented rigorous triangulation requiring each quantitative value to be
confirmed by at least three independent sources [49]. Where discrepancies arose, we adopted median values
while documenting uncertainty ranges for sensitivity analysis. For instance, estimates of Russia’s
operational icebreaker fleet ranged from 37 to 46 vessels; we conservatively adopted forty fully operational
ocean-going icebreakers. This triangulation achieved Cohen’s kappa [50] exceeding 0.85, indicating
substantial inter-source agreement despite the challenging information environment.
3.2.2 Variable operationalization
Transforming qualitative concepts into quantifiable metrics requires careful operationalization [51, 52]. A
nuclear-powered icebreaker capable of year-round operation represents fundamentally different capability
than a seasonal diesel vessel [53]. Our framework addresses these nuances through weighted indices
reflecting actual operational capability.
Icebreaker Capacity (IC) incorporates vessel numbers, capability classes, and operational readiness:
IC = Σᵢ (nᵢ × wᵢ × oᵢ)
where nᵢ represents vessels in class i, wᵢ denotes capability weight derived from operational performance
data showing nuclear vessels operate three times more days annually than conventional vessels, Arc7-rated
vessels operate twice as many days, yielding weights of 3.0, 2.0, and 1.0, respectively. The operational
readiness factor oᵢ scales from 0 to 1 based on maintenance records and deployment data.
Strategic Investment Intensity (SII) measures financial commitment relative to geographic responsibility:
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SII = (I_committed / C_coastline) / max(I_committed / C_coastline)
Here I_committed represents formally committed investment in billion USD from signed contracts and
budget allocations, while C_coastline denotes Arctic coastline in thousand kilometers. The normalization
factor ensures comparability across nations with different geographic scales, derived from the maximum
observed investment-to-coastline ratio in our dataset.
Operational Experience (OE) quantifies accumulated Arctic knowledge with temporal decay [54-56]:
OE = Σₜ (yₜ × sₜ × e^(-λt))
where yₜ represents operational years, sₜ distinguishes year-round from seasonal operations based on ice
navigation records, and the decay factor incorporates organizational learning theory showing knowledge
half-life of approximately 16 years without practice, yielding λ=0.043. This formulation captures how
Russia's 46-year continuous Northern Sea Route operation provides enduring advantage.
3.3 Multi-Criteria Decision Analysis
3.3.1 Criteria development and weighting
Comparing diverse Arctic capabilities requires a structured synthesis of incommensurable factors [38, 39].
Rather than arbitrarily selecting criteria, we derived them through systematic analysis of 127 Arctic strategy
documents from eight nations spanning 2010-2025. Using natural language processing to identify recurring
strategic themes, we found four dominant clusters that nations consistently emphasize in their Arctic
policies. The frequency of theme occurrence across documents, weighted by recency and source authority
(official strategy documents weighted higher than policy papers), determined the relative importance of
each criterion.
To ensure robustness, we compared our document-derived weights against three alternative derivation
methods. Principal component analysis [41] of the 78 baseline variables yielded similar factor loadings,
with the first four components explaining 81% of variance and aligning with our identified criteria. Machine
learning feature importance from a preliminary random forest model [42, 57] trained on historical Arctic
development patterns corroborated the weight hierarchy. Expert survey results from 12 Arctic specialists,
while not used for primary weight derivation, provided independent validation with a correlation coefficient
of 0.91 between document-derived and expert-assessed weights [58].
3.3.2 Strategic Position Index calculation
Each scenario’s Strategic Position Index synthesizes multidimensional assessment through weighted linear
aggregation [38, 40]:
SPIᵢ = Σⱼ (wⱼ × Pᵢⱼ)
where wⱼ represents the document-derived weight for criterion j and Pᵢⱼ denotes scenario i's normalized
performance on criterion j. Component scores integrate multiple metrics using sub-weights derived from
the same document analysis process:
P_capability = 0.40×Infrastructure + 0.35×Icebreakers + 0.25×Experience
P_momentum = 0.50×Investment_rate + 0.30×Project_pipeline + 0.20×Technology_advancement
P_feasibility = (Governance_quality × Implementation_timeline)^0.5
P_synergy = (Resource_complementarity × (1 - Conflict_potential))^0.5
The multiplicative structure in feasibility and synergy scores reflects theoretical understanding that these
factors interact non-linearly [59, 60]. Poor governance cannot be compensated by good timelines, and high
conflict undermines any level of resource complementarity. These functional forms derive from game
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theory and organizational behavior literature on coalition dynamics.
3.3.3 Sensitivity analysis
To test robustness of our document-derived weights, we conducted a comprehensive sensitivity analysis
[61], varying weights within confidence intervals determined by document analysis uncertainty. Monte
Carlo simulation [46] with 10,000 iterations sampled weights from distributions centered on derived values
with standard deviations reflecting measurement uncertainty from document interpretation. Scenario
rankings remained stable in 94% of iterations, validating that our strategic assessments reflect robust
underlying patterns rather than specific weight choices.
3.4 Feature engineering and synthetic data generation
We constructed forty-seven features through systematic application of six theoretical frameworks:
infrastructure lock-in effects from economic geography theory [59, 62] (eight features capturing cumulative
investment stocks and utilization ratios); experience premiums from organizational learning theory [54, 56]
(six features quantifying accumulated operational wisdom through weighted years and efficiency curves);
network effects modeling infrastructure value scaling through port connectivity and Metcalfe's law
applications (seven features); temporal dynamics incorporating differential decay rates for infrastructure
longevity and skill degradation (nine features); geopolitical interactions operationalizing game-theoretic
concepts including strategic substitutability and sanction exposure (ten features); and climate-infrastructure
coupling linking ice retreat rates to route viability (seven features). To address the absence of historical
precedent for the Arctic transformation, we generated 5,000 synthetic training samples through structural
causal simulation, where X ~ f(B, Θ, ε), with B representing empirically grounded 2025 baselines, Θ
denoting theoretically bounded parameter distributions, and ε introducing realistic stochastic variation [64].
Sample size was determined through convergence analysis, with scenario probability estimates stabilizing
at a coefficient of variation below 0.05. Complete feature descriptions and generation methodology are
provided in Supplementary Material S1.
3.5 Machine Learning ensemble architecture
We selected six complementary machine learning algorithms based on theoretical properties and empirical
performance: three gradient boosting variants (XGBoost [43], LightGBM [44], CatBoost [45]), random
forests [42], extra trees [70], and a multilayer perceptron neural network [71]. Each captures different
aspects of the prediction task through distinct mathematical approaches, from sequential error correction to
bootstrap aggregation to layered non-linear transformations. Predictions were combined using inverse error
weighting, where models with lower prediction errors receive proportionally higher influence. Validation
employed nested cross-validation [74] with an outer five-fold split for unbiased performance estimation
and inner three-fold validation for hyperparameter selection. Feature importance analysis confirmed that
infrastructure variables show highest predictive power, aligning with theoretical emphasis on material
capabilities. Complete model specifications, hyperparameter configurations, and validation details are
provided in Supplementary Material S2.
3.6 Uncertainty Quantification and Robustness Analysis
3.6.1 Monte Carlo simulation
Geopolitical projections inherently involve deep uncertainty from incomplete knowledge about system
dynamics, random variations in human decision-making, and necessary model simplifications [64]. Rather
than providing false precision, we employ Monte Carlo simulation [46, 47] with 10,000 iterations to
generate probability distributions honestly representing plausible future ranges. This approach explores the
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full space of parameter uncertainty through systematic sampling:
P(scenario) = ∫ P(scenario|θ,M) × P(θ,M|D) dθdM
where scenario probabilities integrate over parameter and model uncertainty weighted by posterior
probabilities given available data [77]. This Bayesian formulation ensures our projections reflect
fundamental uncertainty about Arctic system dynamics rather than just sampling variation.
3.6.2 Confidence Intervals and Sensitivity
Confidence intervals employ bias-corrected accelerated bootstrap [69] accounting for distribution
asymmetry common in bounded probability estimates. Global sensitivity analysis through Sobol indices
[61] decomposes output variance into first-order effects from individual parameters and higher-order
interactions, revealing that infrastructure variables contribute most to prediction uncertainty while
providing targets for strategic focus or intelligence gathering to reduce projection uncertainty.
3.7 Software implementation and reproducibility
All analyses employed Python 3.11.5 with established scientific libraries, ensuring reproducibility. Scikit-
learn [41] provided random forests and neural networks. XGBoost [43], LightGBM [44], and CatBoost [45]
implemented gradient boosting variants. NumPy [78] and SciPy handled numerical computations. Pandas
facilitated data manipulation. Complete code, processed datasets, and documentation are available at
https://github.com/SAAAHco/scenario-analysis-framework, enabling verification, extension, and
adaptation of our methodology [49].
3.8 Limitations and Assumptions
Our methodology assumes continuity in fundamental geopolitical structures absent major discontinuities
like military conflict or revolutionary technology. Linear aggregation in MCDA [38] may miss threshold
effects requiring minimum capabilities across dimensions. Document analysis for weight derivation
assumes stated priorities reflect actual strategic intent. Data limitations force estimation for classified
variables. Model projections beyond training distributions require careful interpretation as uncertainty
increases with departure from current conditions [38].
3.9 Ethical Considerations
This research maintains ethical boundaries by excluding operational military details while providing
strategic insight for informed policy [48]. Analysis received institutional review board exemption
confirming no human subjects’ involvement. While acknowledging Arctic Indigenous peoples’ critical
stakes, our state-centric analysis does not claim to represent their perspectives, highlighting the need for
participatory research approaches in future work.
4. Results: Four Futures for the Arctic
The following analysis presents four plausible scenarios for the Arctic, grounded in theoretical frameworks
and quantified through machine learning analysis. The strategic position indices presented for each scenario
represent the 2025 baseline distribution calculated using Multi-Criteria Decision Analysis (MCDA)
methodology: Russian Arctic Consolidation (37.6%), Sino-Russian Partnership (44.2%), Western Coalition
(5.3%), and Fragmented Competition (12.8%). These indices weight infrastructure capability (46.7%),
strategic momentum (27.7%), operational feasibility (16.0%), and partnership synergy (9.6%) based on
current deployed assets and verified investments (Figure 1). Machine learning projections to 2035,
developed through ensemble methods incorporating forty-seven engineered features from empirical Arctic
data, reveal how these baseline positions evolve under current trajectories.
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Figure 1: Strategic Position Index Distribution (2025 Baseline). Bar graph displaying the strategic position index
percentages for four Arctic scenarios (Sino-Russian Partnership, Russian Arctic Consolidation, Western Coalition,
and Fragmented Competition) in 2025 and 20235.
4.1. Comparative Performance Analysis Across Strategic Metrics
The heatmap visualization (Figure 2) reveals a profound bifurcation in Arctic capabilities. Eastern scenarios
demonstrate near-complete dominance across all six strategic dimensions, with the Sino-Russian
Partnership scoring 0.85-0.98 across Infrastructure, Experience, Investment, Geography, Resilience, and
Partnership Synergy. In stark contrast, the Western Coalition exhibits catastrophic deficiencies in
Infrastructure (0.15) and Investment (0.10), the two lowest scores across all despite a collective GDP
exceeding $50 trillion. The compound nature of these advantages creates self-reinforcing feedback loops:
Eastern capabilities accumulate synergistically while Western deficiencies deepen absent intervention. The
detailed scenario-by-scenario analysis is provided in Supplementary Material S3.
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Figure 2. Comparative Scenario Performance Across Strategic Metrics. Heatmap of normalized performance scores
(0-1 scale) for four Arctic scenarios across six strategic dimensions. Color intensity represents capability strength from
critical deficiency (red) to strategic dominance (green).
4.2. Scenario A: Russian Arctic Consolidation
This scenario, which holds a 37.6% strategic position index based on current infrastructure and operational
capabilities (calculated using MCDA methodology detailed in Section 4), sees Russia leveraging its
unparalleled advantages to achieve regional dominance. The nation controls approximately 24,140
kilometers of Arctic coastline, roughly 53% of the total Arctic littoral [79]. The cornerstone of this
dominance is its icebreaker fleet, which consists of approximately forty vessels, including ten nuclear-
powered icebreakers, the largest such fleet in the world. Russia’s newest Project 22220-class icebreakers
generate 60 megawatts of propulsion power, enabling year-round Arctic navigation that no other nation can
currently match [80, 81]. The economic foundation for this consolidation is built on its vast hydrocarbon
reserves, with Arctic territories producing 83% of Russia’s natural gas. These resources feed into the NSR,
where transport costs are $2.2 per MMBtu, creating a 21% cost advantage over traditional European routes
[25]. This economic logic drives massive infrastructure investment, as evidenced by the ~$5 billion invested
in the port of Murmansk since 2004, with capacity expanding by 82% to 52 million tonnes. Russia’s
deliberate, long-term strategy, demonstrated by its continuous operational experience on the NSR since the
winter of 1978-79 [82], has created a non-transferable asset that reinforces its first-mover advantage. The
completion of three new Project 22220 nuclear icebreakers between 2021 and 2024, with seven more
planned, demonstrates a committed investment that is difficult for other nations to match.
4.3. Scenario B: Sino-Russian Strategic Partnership
Building on Scenario A, this outcome posits that the relationship between Russia and China evolves into a
deep, symbiotic partnership, with a 44.2% strategic position index representing the highest current strategic
advantage based on combined deployed capabilities and verified investments (MCDA calculation, Section
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4). China provides the critical financial and technological investment, while Russia provides the physical
route and operational expertise. The partnership is a clear demonstration of complementary capabilities.
China’s financial flows have already transformed Russian Arctic capabilities, with the China National
Petroleum Corporation and Silk Road Fund taking a 20% stake in Yamal LNG, while Chinese shipyards
have constructed 15 specialized Arc7 LNG carriers at a total cost of $5 billion [10, 25, 83]. For China,
which is dependent on imports for 43% of its natural gas consumption, Russian Arctic supplies via secure
routes represent energy security worth hundreds of billions in reduced strategic vulnerability [84, 85]. The
surge in Chinese crude oil and gas tanker traffic in the Arctic in 2024, representing increases of 77% and
66% respectively from 2023, demonstrates the partnership’s resilience despite 22,230 sanctions levied
against Russia since 2022 [11, 25, 86].
4.4. Scenario C: Western Arctic Coalition
This scenario, assessed at a 5.3% strategic position index reflecting the lowest current strategic position
due to capability gaps (MCDA calculation, Section 4), envisions the Western powers successfully
mobilizing their latent capabilities to challenge Sino-Russian dominance. The coalition’s aggregate power
is immense, with a collective GDP exceeding $50 trillion versus Russia’s $2 trillion [11]. The European
Union contributes to this economic power but demonstrates the coordination challenges inherent in the
Western approach. Despite investing ~$428 million in Arctic research and ~$315 million through Interreg
cooperation projects, the EU’s engagement remains fragmented across multiple directorates, lacking the
unified strategic direction of Russian or Chinese Arctic programs [87]. The recent accession of Finland and
Sweden to NATO means seven of the eight Arctic Council members now belong to the military alliance
[17]. Initiatives like the ICE Pact, which aims to produce 70 to 90 icebreakers, signal a growing strategic
awareness [88]. The US Arctic Alaska Petroleum Province holds mean estimates of undiscovered,
technically recoverable oil and gas resources of nearly 30 billion barrels of oil, about 179 trillion cubic feet
of no associated gas, and 40 trillion cubic feet of associated gas [89, 90]. However, the data reveals
significant “coordination challenges” and “infrastructure gaps” that undermine this scenario’s plausibility.
The US Polar Security Cutter program, for example, is delayed until 2029 and is 60% over budget according
to Congressional Budget Office assessments. Canada's only Arctic deepwater port with rail access,
Churchill, handles limited tonnage compared to Murmansk's approximately 52 million tonnes annual
capacity [91]. The total investment required for the West to achieve parity is estimated at $70-$90 billion,
a figure that is currently uncommitted and exceeds most nations’ entire annual defense budgets [92]. While
the European Investment Bank has provided ~$1.8 billion for Arctic renewable energy projects since 1994,
this represents less than 40% of Russia's investment in the single port of Murmansk (~$5 billion),
illustrating the scale disparity [87].
4.5. Scenario D: Fragmented Competition
With a 12.8% strategic position index representing a governance vacuum scenario (MCDA calculation,
Section 4), this is the default outcome defined by institutional failure. The suspension of the Arctic Council
in 2022 following Russia’s invasion of Ukraine created a void in multilateral cooperation [93, 94]. While
the Council resumed limited work in July 2022, it was on “projects that do not involve the participation of
the Russian Federation” [95]. The human and environmental consequences of this scenario are significant.
Indigenous communities, such as the 73 Alaska Native villages at risk from climate change and requiring
costly relocations, face a fragmented and inadequate response from multiple jurisdictions [17].
Environmentally, the increase in vessel traffic generates pollution, with ships in the Norwegian and Barents
seas producing approximately 13,000 metric tons of oily sludge annually [82]. The absence of unified
search and rescue capabilities means vessels operating beyond coastal areas face response times measured
in days, not hours. Furthermore, Arctic oil extraction costs averaging $75 per barrel for Russian offshore
projects, compared to approximately $43-50 for conventional offshore deepwater production, mean projects
require sustained high prices [96, 97].
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4.6. Quantitative Validation Through Machine Learning Analysis
The four scenarios presented above, while grounded in empirical data and theoretical frameworks, represent
static snapshots of current strategic positions. To project these dynamics forward and validate the trends of
Arctic power distribution, a comprehensive machine learning analysis was conducted using ensemble
methods that incorporated forty-seven engineered features derived from the infrastructure, investment, and
operational metrics detailed throughout this analysis. The model ensemble, combining gradient boosting
algorithms with neural network architectures trained on 5,000 synthetic samples, achieved a mean squared
error of 0.0034, demonstrating robust predictive reliability..
Projections reveal a striking consolidation of Arctic power toward the Eastern bloc by 2035, with the Sino-
Russian Partnership scenario ascending from 44.2% to 67.8%, driven by compounding first-mover
advantages and infrastructure lock-in effects (Table 1). The Russian Consolidation scenario declines from
37.6% to 27.3%, reflecting the economic constraint of maintaining Arctic dominance without sustained
Chinese partnership. Western-aligned scenarios experience near-total collapse: Fragmented Competition
contracts to 2.0% and Western Coalition to 2.9%, with narrow confidence intervals indicating high model
certainty. Monte Carlo uncertainty analysis (10,000 iterations) confirms these projections, with combined
Eastern Arctic control maintaining a 95% confidence interval ranging from 79.4% to 110.6% (Table 2,
Figure 3). The temporal decay functions prove particularly illuminating: Western capabilities deteriorate at
14% annually without active deployment, while Russian operational expertise depreciates at only 4.3% due
to continuous utilization since 1978-79. The detailed interpretive analysis of these projections is provided
in Supplementary Material S4.
Table 1: Projected Strategic Position Index Changes (2025-2035). Comparative data showing strategic
position index values for four Arctic scenarios in 2025 and 2035, with calculated percentage point changes
and directional trend indicators.
Scenario 2025 2035 Change Trend
Sino-Russian
Partnership 44.2% 67.8% +23.6%
Russian
Consolidation 37.6% 27.3% -10.3%
Fragmented
Competition 12.8% 2.0% -10.8%
Western Coalition 5.3% 2.9% -2.4%
Monte Carlo uncertainty analysis comprising 10,000 iterations, varying key parameters within their
empirically observed ranges, confirms the robustness of these projections (Figure 2). Russian icebreaker
fleet was varied between 40 and 57 vessels [107], Chinese Arctic investment between $12 and $90 billion
[24, 108], Western commitment between $3 and $27 billion [109, 110], sanctions effectiveness following
a beta distribution (α=2, β=5), and coordination friction between 0.8 and 1.5.
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Figure 3. Violin plots with embedded box plots illustrate probability distributions for four Arctic geopolitical
scenarios derived from 10,000 Monte Carlo simulations with systematically varied input parameters. The violin width
represents probability density at each value, while internal box plots show quartiles and medians. Vertical whiskers
extending from each box indicate the data range within 1.5 times the interquartile range.
Table 2: Statistical Uncertainty Analysis of 2035 Projections. Statistical measures from Monte Carlo
uncertainty analysis (n=10,000 iterations) showing mean projections, standard deviations, and 95%
confidence interval bounds for four Arctic scenarios in 2035.
Scenario Mean Std Dev CI Lower CI Upper
Sino-Russian
Partnership 66.2% 4.1% 60.3% 75.7%
Russian
Consolidation 28.8% 4.2% 19.1% 34.9%
Fragmented
Competition 1.9% 0.1% 1.7% 2.2%
Western
Coalition 3.1% 0.1% 2.8% 3.4%
4.7. Strategic Threshold Analysis
To address the threshold effects acknowledged as a limitation of linear MCDA aggregation (Section 3.8),
the sensitivity framework established in Sections 3.3.3 and 3.6.2 was extended to identify minimum
Western commitment levels required to materially alter scenario probabilities. A two-dimensional
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parameter sweep (984 investment × icebreaker combinations), single-variable sensitivity of eight
parameters, and Monte Carlo threshold identification (n = 10,000 iterations, 2,050,000 total predictions)
were conducted under stochastic background conditions (Supplementary Material S5). Consistent with the
Sobol decomposition finding that infrastructure variables dominate prediction uncertainty (Section 3.6.2),
icebreaker fleet size (3.04 pp) and committed funds (2.95 pp) exhibit the largest marginal effects, while
aggregate investment shows minimal impact (0.26 pp). The analysis reveals a structural ceiling: even the
most favorable combination tested ($80 billion, 20 icebreakers) yields only 7.3% Western Coalition
probability with a 10.0:1 Eastern advantage. Monte Carlo simulation identifies a median requirement of
$42 billion and 10 icebreakers to reach the 5% threshold, with the 10% threshold unachievable under any
tested combination.
5. Discussion: The convergence of theory and practice in a contested Arctic
5.1. The New Geostrategic Axis: Heartland and sea power converged
The most profound finding of this analysis is the emergence of a new geostrategic axis formed by the Sino-
Russian partnership. With a combined strategic position index of 81.8% (44.2% + 37.6%), the Eastern
Arctic advantage represents a 4.5:1 ratio over Western/fragmented positions (Section 4.5). This partnership
represents a dynamic convergence of Mackinder’s Heartland (Russia’s landmass, vast resources, and
operational control of the NSR) and Mahan’s Sea Power (China’s maritime ambitions, financial capital,
and technological investment). This unified front is proving to be a highly effective and sanctions-resistant
force in the Arctic. The West’s Rimland-based, coalition-focused approach struggles to counter this unified
strategy because its strength is fragmented, and its actions are often reactive. The disparate and often
conflicting interests of the Western allies make it difficult to translate their collective economic and military
power into a coherent, proactive Arctic strategy. The result is a widening gap in committed capabilities,
favoring the more unified, albeit ideologically distinct, actors in the region.
5.2. The paradox of Western sanctions and the first-mover advantage
The imposition of Western sanctions on Russian energy following the 2022 invasion of Ukraine had
minimal long-term impact on its Arctic ambitions, instead catalyzing a strategic pivot with unforeseen
consequences. With energy exports comprising approximately 20% of Russia’s GDP, sanctions initially
caused a temporary halt in Russian energy exports to Europe [11, 12]. Russia’s response was not to cease
its operations but to redirect its energy exports from Europe to Asia, finding willing buyers in China and
India [113, 114]. This redirection created an immediate and accelerated need for new, secure routes and a
sanctions-resistant financial and technological ecosystem. China, with its capital and technology, was well-
positioned to fill the void left by Western companies [24]. As a result, the sanctions, rather than isolating
Russia and halting its Arctic projects, have paradoxically accelerated the very Sino-Russian partnership that
is creating a powerful, alternative energy and trade system. Global LNG trade simulations of a European
ban scenario confirm this dynamic, showing that Russian Arctic LNG exports increase from 38.4 to 50
MTPA when the North-East Passage is available, effectively converting the Arctic corridor into a sanctions-
resilience mechanism [26].
5.3. The critical window of opportunity: Infrastructure lock-in
The window for the West to fundamentally alter the Arctic’s strategic trajectory is rapidly closing. The
analysis identifies the “2025–2027 window” as a period of maximum strategic flexibility before irreversible
infrastructure investments create path dependencies. The urgency of this window is established by
converging infrastructure timelines: Russia is set to complete its Project 22220 fleet of nuclear icebreakers,
China will have significantly expanded its fleet of Arc7 LNG carriers, and the first US Polar Security Cutter
is delayed until at least 2028 at 60% over budget. By the time Western assets begin entering service, the
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Eastern bloc will have achieved operational lock-in across the Northern Sea Route corridor.
The threshold analysis (Section 4.7) quantifies the scale of commitment required within this window. Monte
Carlo simulation (n = 10,000 iterations) establishes that achieving even a 5% Western Coalition probability,
the minimum level constituting marginal strategic relevance, requires a median commitment of
approximately $42 billion and 10 operational icebreakers (IQR: $0–62 billion, 7–15 icebreakers),
requirements that dwarf current appropriations ($0 committed, 2 icebreakers operational). Critically, the
10% probability threshold is not achievable under any tested parameter combination, establishing a
structural ceiling on Western strategic repositioning. The model’s temporal decay functions illuminate why
each year of delay is consequential: Western capabilities deteriorate at 14% annually without active
deployment, while Russian operational expertise depreciates at only 4.3% due to continuous utilization
since 1978–79. The sensitivity analysis further reveals that fleet size is a more consequential variable than
aggregate investment (3.04 pp vs. 0.26 pp), suggesting that the icebreaker gap, rather than the investment
gap, constitutes the binding constraint on Western Arctic strategy. This “lock-in” effect means that after
this critical period, it will become exponentially more difficult and expensive for the West to catch up. The
most plausible future is therefore not a sudden shift in power but a continuous reinforcement of existing
advantages, making a blend of Scenarios B and D the most likely long-term outcome.
5.4. Implications for global energy strategy and SDG7
The findings of this analysis carry profound implications for global energy strategy that extend well beyond
Arctic borders. The projected consolidation of Arctic energy infrastructure under Sino-Russian control by
2035 threatens to create a structurally bifurcated global energy system, where access to approximately 22%
of the world’s undiscovered conventional hydrocarbon reserves and the most efficient LNG shipping routes
is mediated through a single geopolitical bloc [26]. This outcome directly challenges the objectives of
SDG7, which calls for ensuring access to affordable, reliable, sustainable, and modern energy for all [6].
When energy supply routes are concentrated under the control of politically aligned actors, the affordability
and reliability dimensions of SDG7 become contingent upon geopolitical alignment rather than market
mechanisms or development need. Sampedro et al.’s (2024) analysis of the European gas supply crisis
demonstrated that Russian energy leverage created subregional disparities in energy costs across the EU,
with Central and Eastern European countries bearing disproportionate burdens, a pattern that Arctic route
consolidation could replicate on a global scale [8]. Furthermore, the Arctic energy competition unfolds
against the backdrop of a global energy transformation in which natural gas is positioned as a critical
transition fuel [9]. The control of Arctic LNG production and shipping routes therefore determines not only
fossil fuel access but also the pace and equity of the clean energy transition itself. Nations dependent on
Arctic-sourced LNG for their transition from coal to gas to renewables may find their decarbonization
pathways constrained by geopolitical gatekeeping. The IRENA (2024) assessment of energy security in the
context of the energy transition warns precisely against such concentration risks, arguing that the geopolitics
of the renewable era demands diversified supply chains and multilateral governance frameworks, both of
which the current Arctic trajectory undermines [115]. The implications extend to critical mineral access as
well, as the Arctic holds significant deposits of rare earth elements essential for renewable energy
technologies [90]. The same infrastructure lock-in dynamics that govern fossil fuel access in the Arctic will
increasingly apply to the minerals required for batteries, wind turbines, and solar panels, creating a
compounding energy strategy challenge that demands urgent Western policy recalibration.
6. Conclusion: A new geopolitical equilibrium
The analysis concludes that the Arctic’s future is defined by a contested rather than a cooperative
environment. The most probable outcome is a blend of Russian Consolidation and Fragmented
Competition, where the Sino-Russian partnership dominates the Eastern Arctic and Northern Sea Route,
while Western efforts remain fragmented and focused on the North American sphere. The evidence suggests
that classical geostrategic theories are not outdated but are, in fact, powerful interpretive tools for
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understanding contemporary state behavior. The confluence of Heartland, Rimland, and Sea Power
dynamics explains the current competition.
The key lesson is that the struggle for Arctic influence is not about potential but about deployed capabilities
and committed investment. The data show that the nations that have invested billions and decades into the
region are now reaping the rewards, leaving others with a difficult and costly choice. The transformation is
not future speculation but present reality: 12.7 million nautical miles sailed, 21.2 million tons of Arctic
LNG produced, ~ $5 billion invested in single ports, and 1,781 unique vessels operating in the Arctic Polar
Code Area. The decisions made in the 2025-2027 window will determine whether the Arctic becomes a
domain of managed competition or dangerous fragmentation, with consequences for global trade, energy
security, and international order that will reverberate for generations.
These findings yield direct implications for policymakers. Western governments must replace multi-decade
procurement timelines with emergency funding mechanisms before the 2025-2027 window closes. NATO
Arctic members should establish a unified coordination structure to convert latent economic power into
deployed capability. The current sanctions policy requires recalibration, as broad economic restrictions
have paradoxically accelerated the Sino-Russian partnership; targeted measures on Arctic-specific
chokepoints may prove more effective. Energy security planners must incorporate the emerging Sino-
Russian controlled Northern Sea Route into long-term supply diversification strategies. The Arctic
Council’s paralysis demands alternative multilateral frameworks for environmental protection and
indigenous community support that can function despite great power competition.
Funding
This research did not receive any specific grant from funding agencies in the public, commercial, or not-
for-profit sectors.
CRediT Author Statement
Konstantinos Pappas: Conceptualization, Methodology, Validation, Formal analysis, Investigation,
Resources, Writing - Original Draft, Writing - Review & Editing, Supervision, Project administration,
Funding acquisition. Zainab Ashkanani: Conceptualization, Methodology, Software, Validation, Formal
analysis, Investigation, Resources, Data Curation, Writing - Original Draft, Writing - Review & Editing,
Visualization.
Data Availability
The data and code supporting this study are available in a public repository. The machine learning and
Monte Carlo framework for scenario-based geopolitical analysis, including training data and analysis
scripts, can be accessed at: https://github.com/SAAAHco/scenario-analysis-framework
Declaration of Generative AI and AI-assisted Technologies in the Manuscript Preparation Process
During the preparation of this work the author(s) used Grammarly in order to improve grammar, clarity,
and readability of the text. After using this tool, the author(s) reviewed and edited the content as needed
and take(s) full responsibility for the content of the published article.
Declaration of Competing Interest
The authors declare that they have no known competing financial interests or personal relationships that
could have appeared to influence the work reported in this paper.
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