E_2_01

E_2_01 — 536 CE Climate Catastrophe

Confidence: 4/5 Section: E Updated: 2026-03-13 27, 2026 | **Source Count:** 15 | **Weighted Score:** 35 | **Source Confidence:** [4/5] | **Confidence:** High (event); Moderate (mythological connections)
Document ID: E_2_01
Section: E_Cataclysms_and_Chronology
Keywords: 536 CE, Fimbulvetr, Ragnarök, volcanic winter, Ilopango, Procopius, Justinianic Plague, Y. pestis, tree ring, dendrochronology, LALIA, Late Antique Little Ice Age, Büntgen, Gräslund, Neil Price, McCormick, Teotihuacan, Surtr, ice core, sulfur spike, Moche, Sasanian, Migration Period, Mike Baillie, climate catastrophe, Dull, El Salvador, GISP2, GRIP, Dome C, Procopius of Caesarea, Fimbulvetr, worst year to be alive, dark sun, crop failure, plague, volcanic aerosol, stratospheric veil
Category Tags: cataclysms, chronology, ecology-environment
Cross-References: A_4_02 · E_1_01 · E_3_01 · E_4_05 · R_1_03 · C_5_02 · Q_1_09
Reliability Tier: Tier 1 (volcanic event verified by ice cores, tree rings, historical sources) / Tier 2 for Ragnarök connection
Last Updated: 2026-03-13 27, 2026 | Source Count: 15 | Weighted Score: 35 | Source Confidence: [4/5] | Confidence: High (event); Moderate (mythological connections)

QUICK SUMMARY

This document examines 536 CE Climate Catastrophe, a topic within the Cataclysms and Chronology research area. Key areas of investigation include "The Worst Year to Be Alive", Historical Eyewitness Accounts, The Volcanic Source: Ilopango, El Salvador. The analysis spans topics including ** 536 CE, Fimbulvetr, Ragnarök, volcanic winter, Ilopango. Notable findings include: §1 The Event — What Happened. The document presents evidence organized across multiple tiers — from peer-reviewed and verified claims to more speculative interpretations — with cross-references to related topics throughout the knowledge base.


DOCUMENT NAVIGATION


1. THE EVENT — WHAT HAPPENED

1.1 "The Worst Year to Be Alive"

In 2018, medieval historian Michael McCormick (Harvard University) declared 536 CE "the worst year to be alive" in an interview published in Science (Vol. 362, Issue 6421, Nov. 15, 2018). McCormick's assessment was based on converging evidence from ice-core chemistry, dendrochronology, and historical records showing that a massive volcanic eruption in late 535 or early 536 CE ejected a sulfur-rich aerosol veil into the stratosphere, dimming the sun across the entire Northern Hemisphere for 18 months and triggering cascading agricultural, demographic, and political catastrophes.

This was not merely a bad year. It was the opening salvo of the Late Antique Little Ice Age (LALIA), a sustained period of climate deterioration lasting from 536 to approximately 660 CE — over a century of below-normal temperatures that reshaped civilizations across Eurasia, the Americas, and possibly beyond.

1.2 Historical Eyewitness Accounts

Procopius of Caesarea (c. 500–c. 565 CE), the preeminent historian of the Byzantine Empire under Justinian, recorded the dimming of the sun in his History of the Wars (Book IV, Chapter 14):

"And it came about during this year that a most dread portent took place. For the sun gave forth its light without brightness, like the moon, during this whole year, and it seemed exceedingly like the sun in eclipse, for the beams it shed were not clear nor such as it is accustomed to shed."

Cassiodorus (c. 485–c. 585 CE), a Roman statesman and writer serving the Ostrogothic court in Italy, wrote in his Variae (Book 12, Letter 25, dated to 536 CE):

"The sun... seems to have lost its wonted light, and appears of a bluish colour. We marvel to see no shadows of our bodies at noon, to feel the mighty vigour of the sun's heat wasted into feebleness, and the phenomena which accompany an eclipse prolonged through almost an entire year."

John of Ephesus (c. 507–588 CE), Syriac church historian, corroborated the account:

"The sun became dark and its darkness lasted for eighteen months. Each day it shone for about four hours, and still this light was only a feeble shadow."

Michael the Syrian (Patriarch of Antioch, 12th century, relying on earlier Syriac sources) described the atmospheric phenomenon and associated it with crop failures and famine.

Irish Annals: The Annals of Ulster record a "failure of bread" in 536 CE. The Annals of Inisfallen note extreme weather and crop loss in the same period.

1.3 The Volcanic Source: Ilopango, El Salvador

For decades, the identity of the erupting volcano was debated. Early candidates included:

The current scientific consensus has converged on Ilopango (El Salvador) as the primary source, based on:

  1. 536 CE: A Northern Hemisphere volcanic eruption (possibly Icelandic or North American) ejected sulfur aerosols detected in Greenland ice cores
  2. 539–540 CE: Ilopango's Tierra Blanca Joven (TBJ) eruption — a massive VEI 6+ eruption that devastated central El Salvador, deposited tephra across an area of ~10,000 km², displaced entire Maya populations, and injected a second massive sulfur load into the stratosphere

The two-punch hypothesis: The 536 eruption cooled the climate; the 539–540 Ilopango eruption re-loaded the stratosphere before recovery could occur, creating a sustained multi-year cooling event. This compounding effect is critical to understanding the severity and duration of the climate crisis.

1.4 Ice Core Evidence

Multiple polar ice-core records document the 536 and 540 CE eruptions through sulfate spikes (volcanic sulfur dioxide converts to sulfuric acid aerosols in the stratosphere):

Ice CoreLocation536 Signal540 SignalReference
GISP2Greenland (Summit)Strong sulfate spikeStrong sulfate spikeZielinski et al. (1994), Larsen et al. (2008)
GRIPGreenland (Summit)ConfirmedConfirmedClausen et al. (1997)
NGRIPGreenland (North)ConfirmedConfirmedSigl et al. (2015)
Dome CAntarcticaModerate signalStrong signalPlummer et al. (2012)
WAIS DivideWest AntarcticaConfirmedConfirmedSigl et al. (2015)

Key publication: Sigl, M. et al. "Timing and Climate Forcing of Volcanic Eruptions for the Past 2,500 Years." Nature 523 (2015): 543–549. This comprehensive ice-core synthesis established the precise chronology and relative magnitudes of the 536 and 540 eruptions.

The bipolar distribution of the sulfate signal (appearing in both Greenland and Antarctic ice) for the 540 event confirms a tropical source — consistent with Ilopango's equatorial latitude.

1.5 Tree-Ring Evidence (Dendrochronology)

Tree-ring width is a proxy for growing-season temperature and precipitation. The 536 CE event produced one of the most dramatic dendrochronological anomalies in the past two millennia:

Mike Baillie (Queen's University Belfast), one of the pioneers of dendrochronology and author of Exodus to Arthur: Catastrophic Encounters with Comets (B.T. Batsford, 1999), identified the 536 CE tree-ring anomaly as:

Temperature reconstruction:

Büntgen, U. et al. "Cooling and Societal Change during the Late Antique Little Ice Age from 536 to around 660 CE." Nature Geoscience 9 (2016): 231–236. This landmark paper established the full chronological extent of the LALIA:

1.6 The Second Eruption: 539–540 CE

The compounding effect of the second eruption is crucial. Before the climate could recover from the 536 event:


2. GLOBAL CONSEQUENCES

2.1 The Justinianic Plague (541–544 CE, recurring to ~750 CE)

The most devastating consequence of the climate crisis was the Justinianic Plague — the first historically documented pandemic of Yersinia pestis (the bacterium that causes bubonic, pneumonic, and septicemic plague).

Timeline:

Death toll estimates:

The climate-plague connection:

Kyle Harper, The Fate of the Roman Empire: Climate, Disease, and the End of an Empire (Princeton University Press, 2017), argues a causal chain:

  1. Volcanic winter → crop failure → famine → malnutrition → weakened immune systems.
  2. Climate disruption → altered rodent habitats → changed flea ecology → plague reservoir activation.
  3. Environmental stress → mass migration of rodent populations → contact with human settlements.
  4. Trade routes (grain trade from Egypt to Constantinople) → rapid plague transmission along established networks.

Genomic evidence: Ancient DNA studies have confirmed Yersinia pestis in victims' remains from 6th-century graves:

2.2 Fall of Teotihuacan (Mid-6th Century)

Teotihuacan, the great city in the Basin of Mexico (population peak: ~100,000–200,000, making it one of the largest cities in the world in the 5th century CE), experienced a dramatic decline in the mid-6th century:

Millon, R. Urbanization at Teotihuacan, Mexico (University of Texas Press, 1973): foundational study of the city's urban organization and decline.

However: the precise dating of Teotihuacan's collapse remains debated, with scholars placing the fire event as late as 600–650 CE. The connection to 536 is plausible but not proven.

2.3 The Late Antique Little Ice Age (LALIA): 536–660 CE

Büntgen et al. (2016) formally defined the LALIA as a coherent climatic period based on tree-ring and ice-core data:

Duration: ~536–660 CE (approximately 124 years)

Defining features:

Comparison to other cold periods:

PeriodDurationApproximate CoolingTrigger
LALIA536–660 CE1.5–2.5°C (peak); 0.6°C (sustained)Volcanic + solar
Little Ice Age~1300–1850 CE0.5–1.0°CSolar + volcanic
Year Without a Summer (1816)1 year0.4–0.7°CTambora eruption
Younger Dryas~12,900–11,700 BP7–8°C (Greenland)Bolide impact? Meltwater pulse?

The LALIA was more severe than the Little Ice Age in terms of peak cooling, though shorter in duration.

2.4 Sasanian Empire Crisis and the Rise of Islam

The Sasanian Persian Empire (224–651 CE), already engaged in exhausting wars with Byzantium, faced multiple climate-related crises during the 6th century:

The resulting power vacuum in the Arabian Peninsula:

This is NOT a reductive argument that climate "caused" Islam. The rise of Islam involved complex theological, social, commercial, and military factors. But the LALIA provides the environmental context within which these transformations occurred.

2.5 Norse Fimbulvetr and Scandinavian Demographic Collapse

Bo Gräslund (Uppsala University), "Fimbulvintern, Ragnarök och klimatkrisen år 536–537 e.Kr." (Saga och Sed: Kungl. Gustav Adolfs Akademiens Årsbok, 2007), argued that the Old Norse concept of Fimbulvetr ("Great Winter" / "Mighty Winter") — the three consecutive winters without intervening summers that precede Ragnarök — is a folk memory of the 536 event.

Archaeological evidence from Scandinavia:

This section is expanded in §3 below.

2.6 Migration Period Intensification

The Migration Period (Völkerwanderung, c. 375–568 CE) was already underway when the 536 event struck, but the climate catastrophe intensified population movements:

2.7 Chinese Records and East Asian Impact

Chinese historical chronicles document the 536 event independently:

Korean and Japanese records:

2.8 Collapse of the Moche Civilization (Peru)

The Moche civilization (c. 100–700 CE), which flourished along the north coast of Peru, experienced a crisis in the late 6th century:

Connection to 536: The volcanic aerosol veil would have altered global atmospheric circulation, potentially intensifying El Niño–Southern Oscillation (ENSO) events. Volcanic eruptions are known to affect ENSO dynamics (Adams et al., Nature, 2003; McGregor & Timmermann, Journal of Climate, 2011).


3. RAGNARÖK AND MYTHOLOGICAL CONNECTIONS

3.1 The Ragnarök Narrative

Ragnarök (Old Norse: Ragnarǫk, "Fate of the Gods" or Ragnarøkkr, "Twilight of the Gods") is the Norse eschatological narrative describing the destruction and renewal of the world. Primary sources:

The sequence of Ragnarök:

  1. Fimbulvetr — three great winters in succession with no intervening summers; snow from all directions; wars and brother kills brother
  2. The wolves Sköll and Hati swallow the sun and moon
  3. The stars vanish from the sky
  4. Earthquakes (the binding of Fenrir breaks, Loki freed from chains)
  5. The Midgard Serpent (Jörmungandr) rises from the sea, poisoning the earth.
  6. The ship Naglfar (made of dead men's nails) sails with the forces of chaos
  7. Surtr advances from the south with a flaming sword, burning everything
  8. The gods fight their final battle: Odin vs. Fenrir, Thor vs. Jörmungandr, Freyr vs. Surtr, Heimdall vs. Loki
  9. The world sinks into the sea
  10. Renewal: The earth rises again, green and fertile; the surviving gods (Baldr, Höðr, Viðarr, Váli) and two humans (Líf and Lífþrasir) repopulate the world

3.2 Gräslund and Price: Ragnarök as Historical Memory

Bo Gräslund (2007) and Bo Gräslund & Neil Price (2012, "Twilight of the Gods? The 'Dust Veil Event' of AD 536 in Critical Perspective," Antiquity 86, No. 332: 428–443) proposed that the Ragnarök myth encodes historical memory of the 536 CE catastrophe.

Point-by-point correspondences:

Ragnarök Element536 CE ParallelAssessment
Fimbulvetr (three successive winters)536 + 539–540 double eruption → 3+ years of severe coldStrong. The "three winters" closely matches the multi-year cooling.
Sun swallowed / darkenedProcopius: sun dimmed for 18 months; shadows disappeared at noonVery strong. Multiple historical sources confirm dimmed sun.
Stars vanishVolcanic aerosol haze would obscure night skyPlausible. Stratospheric aerosol reduces stellar visibility.
Surtr (fire giant from the south)Volcanic eruption — fire emerging from the earthStrong. Surtr's description matches volcanic activity.
Surtr "from the south"Ilopango is south of Scandinavia (El Salvador); any tropical eruption would be "from the south" relative to Norse landsSuggestive but not definitive.
World sinks into seaCoastal flooding from climate disruption; sea-level changesModerate. Climate cooling doesn't directly cause sea-level rise, but storm surges, tidal anomalies, and permafrost-related subsidence could contribute.
Earth reborn, green and fertileClimate recovery after LALIA → landscape regenerationStrong. The ecological recovery after centuries of cooling matches the renewal motif.
Crop failure, famine, social collapseDocumented by archaeology: 50–75% farm abandonmentVery strong. Archaeological evidence is robust.

3.3 The Fimbulvetr Problem

Fimbulvetr (Old Norse: Fimbulvetr, literally "Great Winter" or "Mighty Winter") is described in Vafþrúðnismál (stanza 44) and the Prose Edda:

Three winters shall come with no summers between them. Winds will blow from all quarters, and there will be great frosts.

Key observations:

3.4 Gold Hoards and Ritual Deposits

Between approximately 536 and 560 CE, an unusual number of gold hoards were deposited across Scandinavia:

Axboe, M. "The Year 536 and the Scandinavian Gold Hoards." Medieval Archaeology 45 (2001): 1–18. — Key study linking the gold hoard phenomenon to the 536 event.

3.5 Surtr as Volcanic Metaphor

Surtr (Old Norse: Surtr, "The Black One" or "The Swarthy One") is described in Norse mythology as:

Volcanic parallels:

Counter-argument: Surtr may simply be one half of a fire/ice cosmological duality (Múspellsheimr vs. Niflheimr), with no specific volcanic reference. However, the level of specific detail — "from the south," fire-wielding, world-burning — is more consistent with a volcanic narrative than a generic cosmic fire myth.

3.6 The Sun-Swallowing Wolves

In Norse mythology, the sun (Sól) and moon (Máni) are pursued across the sky by the wolves Sköll (who chases the sun) and Hati Hróðvitnisson (who chases the moon). At Ragnarök, they catch and devour their prey, plunging the world into darkness.

536 parallel:

3.7 Ragnarök as Historical Memory: The Broader Pattern

The idea that mythological narratives encode historical catastrophes is not unique to Ragnarök:

The Ragnarök-as-536-memory hypothesis fits within this established pattern of catastrophe → mythologization → incorporation into religious narrative.

3.8 Chronological Plausibility

Timeline check: Can a 6th-century event become a 10th-century mythological text?

400 years of oral transmission (536 → ~950 CE) is well within the demonstrated capacity of oral tradition in pre-literate societies. Comparative examples:


4. CROSS-CULTURAL / CROSS-DISCIPLINARY CONNECTIONS

4.1 Pattern: Catastrophe → Mythologization → Religious Transformation

The 536 event exemplifies a recurring pattern documented across this project:

  1. Environmental catastrophe (natural disaster — volcanic, impact, flood)
  2. Societal collapse (demographic crash, agricultural failure, political disintegration)
  3. Mythological encoding (the event is transmitted orally and transformed into religious narrative)
  4. Religious/cultural transformation (new beliefs, practices, or social structures emerge from the crisis)

This pattern appears in:

4.2 Connection to E_1_01 — Younger Dryas Impact

The Younger Dryas (YD) and the 536 event share structural parallels:

FeatureYounger Dryas (~12,900 BP)536 CE Event
TriggerPossible cosmic impact and/or meltwater pulseVolcanic eruption(s)
Climate effectSevere, prolonged cooling (~1,200 years)Severe cooling, 124-year LALIA
Cultural impactPossible trigger for agriculture, Göbekli TepeRagnarök mythologization, civilizational shifts
Mythological encodingFlood myths worldwide?Fimbulvetr/Ragnarök
ScaleGlobal, severeHemispheric, severe

Both events demonstrate that abrupt climate shifts can be catastrophic for human societies and that cultural responses include myth-making and religious transformation.

4.3 Connection to E_3_01 — Rise and Fall of Civilizations

Joseph Tainter (The Collapse of Complex Societies, Cambridge University Press, 1988) and Peter Turchin (War and Peace and War, 2006; Ages of Discord, 2016) provide theoretical frameworks for understanding how environmental stress interacts with political complexity:

Applied to the 6th century:

4.4 Connection to E_4_05 — Cyclical Destruction and Renewal

The 536 event and Ragnarök fit squarely within E_4_05's framework of cyclical destruction-renewal narratives. The key insight: Ragnarök is one of the few mythological destruction narratives that may be directly traceable to a specific historical event. This makes it a critical test case for the broader hypothesis that cyclical destruction myths encode real catastrophes.

4.5 Connection to A_4_02 — Norse Eddas

A_4_02 provides the primary textual analysis of the Poetic Edda and Prose Edda. E_2_01 focuses specifically on the historical and environmental context that may underlie the Ragnarök narrative. The two documents should be read together: A_4_02 for textual analysis, E_2_01 for the climate science and archaeological evidence.

4.6 Connection to R_1_03 — Mass Extinction Events

R_1_03 documents the mechanisms of mass extinction, including volcanic winter as a kill mechanism. The 536 event is a miniature, historically documented version of the same process that caused the end-Permian extinction (~252 million years ago, caused by the Siberian Traps large igneous province). The LALIA demonstrates in recorded history what the geological record shows at larger scales: volcanic aerosol → reduced sunlight → cooling → ecosystem collapse → mass death.

4.7 Connection to C_5_02 — Cargo Cult Analogy

C_5_02 examines how technological encounters can be mythologized within a single generation (Melanesian cargo cults after WWII). The 536 event shows that natural catastrophes can undergo a similar process — though the mythologization of 536 into Ragnarök may have taken multiple generations rather than one, the mechanism is analogous: an incomprehensible event is explained through supernatural narrative.

4.8 Connection to Q_1_09 — Fate of the Universe

Q_1_09's treatment of cosmic eschatology (heat death, Big Crunch, Big Bounce) provides the scientific counterpart to mythological eschatology. Ragnarök is a "small-scale" end-of-the-world narrative; Q_1_09 examines what science says about the actual ultimate fate of the cosmos. The parallel is instructive: both mythology and cosmology grapple with the question of whether existence ends or renews.


CROSS-REFERENCE INDEX


SOURCE NOTES & RELIABILITY ASSESSMENT

Source Analysis

Tier 1 — Peer-Reviewed / Hard Science:

Tier 1 — Primary Historical Sources:

Tier 2 — Scholarly / Well-Documented:

Tier 2 — Mythological / Comparative:

Tier 3 — Speculative Connections:

Tier Classification Rationale

Tier 1 (primary classification): The 536 CE volcanic event is among the best-documented climate catastrophes in human history. It is verified by:

Tier 2 (for Ragnarök connection): The Gräslund-Price hypothesis that Ragnarök encodes the 536 event is well-argued, published in peer-reviewed venues (Antiquity), and supported by:

However, it remains a hypothesis — mythological narratives cannot be definitively traced to single historical events, and multiple catastrophes may have contributed to Ragnarök's content.


Document E_2_01 — Part of the Theories of Anything project

Section E: Cataclysms & Chronology



Source Tier Classification

This document references sources across multiple evidence tiers within this project's reliability framework:

TierLabelDescription
Tier 1VERIFIEDPeer-reviewed studies, archaeological records, and primary source translations
Tier 2CREDIBLEAcademic scholarship with broad support but ongoing interpretive debate
Tier 3SPECULATIVEAlternative interpretations, popular scholarship, and unverified hypotheses
Tier 4DUBIOUSClaims lacking credible evidence, fringe theories, or debunked assertions

Counter-Arguments & Criticisms

No significant counter-arguments exist in the scholarly literature for the core claims presented here. The topic of 536 CE Climate Catastrophe represents established knowledge within cataclysm events and historical chronology with no active scholarly dispute over the fundamental claims presented in this document.

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BIBLIOGRAPHY

  1. Sigl, M. et al | 2015 | "Timing and Climate Forcing of Volcanic Eruptions for the Past 2,500 Years" | Nature | ∅ | 523::543–549 | ∅ | ∅ | doi:10.1038/nature14565 | ∅ | ∅ | ∅
  2. Büntgen, U. et al | 2016 | "Cooling and Societal Change during the Late Antique Little Ice Age from 536 to around 660 CE" | Nature Geoscience | ∅ | 9::231–236 | ∅ | ∅ | doi:10.1038/ngeo2652 | ∅ | ∅ | ∅
  3. Dull, R.A. et al | 2019 | "Radiocarbon and Geologic Evidence Reveal Ilopango Volcano as Source of the Colossal 'Mystery' Eruption of 539/40 CE" | Quaternary Science Reviews | ∅ | 222::105855 | ∅ | ∅ | doi:10.1016/j.quascirev.2019.07.037 | ∅ | ∅ | ∅
  4. Harbeck, M. et al. e1003349 | 2013 | "Yersinia pestis DNA from Skeletal Remains from the 6th Century AD Reveals Insights into Justinianic Plague" | PLoS Pathogens | ∅ | 9.5:: | ∅ | ∅ | doi:10.1371/journal.ppat.1003349 | ∅ | ∅ | ∅
  5. Baillie, M.G.L. | 1999 | ∅ | Exodus to Arthur: Catastrophic Encounters with Comets | ∅ | ∅ | B.T | ∅ | doi:10.1177/095968369900900516 | ∅ | ∅ | Batsford
  6. Zielinski, G.A. et al | 1994 | "Record of Volcanism since 7000 B.C. from the GISP2 Greenland Ice Core" | Science | ∅ | 264::948–952 | ∅ | ∅ | ∅ | ∅ | ∅ | ∅
  7. Harper, Kyle | 2017 | ∅ | The Fate of Rome: Climate, Disease, and the End of an Empire | ∅ | ∅ | Princeton University Press | ∅ | ∅ | ∅ | ∅ | ∅
  8. Gräslund, Bo; Price, Neil | 2012 | "Twilight of the Gods? The 'Dust Veil Event' of AD 536 in Critical Perspective" | Antiquity | ∅ | 86.332::428–443 | ∅ | ∅ | ∅ | ∅ | ∅ | ∅
  9. Keys, David | 1999 | ∅ | Catastrophe: An Investigation into the Origins of the Modern World | ∅ | ∅ | Century | ∅ | ∅ | ∅ | ∅ | ∅
  10. McCormick, Michael et al | 2012 | "Climate Change during and after the Roman Empire" | Journal of Interdisciplinary History | ∅ | 43.2::169–220 | ∅ | ∅ | ∅ | ∅ | ∅ | ∅
  11. Tainter, Joseph A. | 1988 | ∅ | The Collapse of Complex Societies | ∅ | ∅ | Cambridge University Press | ∅ | isbn:9782355120510 | ∅ | ∅ | ∅
  12. Axboe, Morten | 2001 | "The Year 536 and the Scandinavian Gold Hoards" | Medieval Archaeology | ∅ | 45::1–18 | ∅ | ∅ | ∅ | ∅ | ∅ | ∅
  13. Procopius of Caesarea. . c | ∅ | ∅ | History of the Wars | ∅ | ∅ | 550 CE | ∅ | isbn:9781406809848 | ∅ | ∅ | ∅
  14. Cassiodorus. . c | ∅ | ∅ | Variae | ∅ | ∅ | 537 CE | ∅ | ∅ | ∅ | ∅ | ∅
  15. Princeton University Press (corp.) | 2017 | ∅ | Environment and Empire | ∅ | ∅ | ∅ | ∅ | doi:10.2307/j.ctv9b2txr.6 | ∅ | ∅ | ∅

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