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Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths, Coventry 2013

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Page 1: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis, what Atlantis?

Ray Rivers (Physics, IC)

Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC)

Myths and Maths, Coventry 2013

Page 2: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Prologue.

• Micro – interpersonal • Meso - community • Macro - regional

Q. To what extent do networks of social interactions in myth reflect social interactions in real life?

- one tool to help substantiate individual myths Interactions occur at several levels:

Page 3: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Prologue.

• Micro – interpersonal • Meso - community • Macro - regional

Textual analysis of myth, e.g. Trojan War, Beowolf, …

Q. To what extent do networks of social interactions in myth reflect social interactions in real life?

- one tool to help substantiate individual myths Interactions occur at several levels:

Page 4: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Prologue.

• Micro – interpersonal • Meso - community • Macro - regional

Textual analysis of myth, e.g. Trojan War, Beowolf, …

Q. To what extent do networks of social interactions in myth reflect social interactions in real life?

- one tool to help substantiate individual myths Interactions occur at several levels:

This Talk.

Can these ideas work at larger scales – meso/macro – ‘Imperial’ scale?

Page 5: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Talk: Disasters - Atlantis myth and Thera

I. Myth

II. Math

Page 6: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

I. Atlantis: Prototypical disaster myth

• ‘Advanced’ civilisation • Physical destruction • Destruction of ‘Empire’ • ‘Survival’

Originally Plato/Hellanicus

‘Atlantis - a circular island, with an exterior lake, linked to the sea by a great canal’ “Now in this island of Atlantis there was a great and wonderful empire which had rule over the whole island and several others, and over parts of the continent . . . “

Which fought the Athenians, and then !!!!!

Page 7: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

2004

1970

2011

Persistence of Atlantis myth:

• Fascination with natural disaster

• There are many sunken ‘cities`

Herakleion, Egypt

Pavlopetri, Greece

Yonaguni-Jima, Japan

Page 8: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Persistence of Atlantis myth: Post-Plato

• Penalties of hubris and going against

the gods

• Racial stereotyping/ colonialism

Current DNA analysis!

Page 9: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Persistence of Atlantis myth: Post-Plato

• Penalties of hubris and going against

the gods

Post-Platonic mythology that defines the myth!

• Racial stereotyping/ colonialism

Current DNA analysis!

Page 10: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

‘Candidates` for Atlantis:

Several ways to proceed:

Most stupid first: • Atlantis existed – theosophy ... • Plato based Atlantis on ‘real’ events • Entirely fictional – he is comparing systems of government - not taken seriously in ancient past

For the sake of argument assume the intermediate position:

Page 11: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

‘Candidates` for Atlantis:

Not continents (Plato): ‘Plato’s 10-fold error’

Local disasters for local ‘Empires’!

Page 12: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

‘Candidates` for Atlantis:

Not continents (Plato): ‘Plato’s 10-fold error’ 22 and counting!

Local disasters for local ‘Empires’!

Thera/Santorini a popular candidate!

Page 13: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Roughly self-contained in space and time -c.2000 BC Distinct Minoan culture starts

Middle Bronze Age (MBA) Aegean

Page 14: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Roughly self-contained in space and time -c.2000 BC Distinct Minoan culture starts -c.1700 BC Knossos plays a dominant role

Knossos

Middle Bronze Age (MBA) Aegean

Page 15: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Roughly self-contained in space and time -c.2000 BC Distinct Minoan culture starts Thera: ‘Gateway’ for Minoanisation of S. Aegean

Knossos

Thera

Page 16: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Thera as ‘gateway’: • If you can get from Knossos to Thera (100km) in a single journey the whole S. Aegean can be traversed in a few steps. • If not, not! • Sail replacing oar: 100km possible for the first time!

Knossos

Thera

Page 17: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Thera as gateway:

Knossos

Thera

Page 18: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Thera as gateway:

Destroyed by volcanic eruption in 1575 ± 50 BC !

Knossos

Thera

Page 19: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Thera as gateway:

Destroyed by volcanic eruption in 1575 ± 50 BC !

Knossos

Thera

• Huge ash (tephra) deposits

Page 20: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Thera as gateway:

Destroyed by volcanic eruption in 1575 ± 50 BC !

Knossos

Thera

• Huge ash (tephra) deposits • Tsunamis

Page 21: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Atlantis: The ‘destruction’ of the Minoan ‘Empire’

Thera as gateway:

Destroyed by volcanic eruption in 1575 ± 50 BC !

Knossos

Thera

• Huge ash (tephra) deposits • Tsunamis • ‘Burning of the Palaces’ and the end of Minoan culture

Page 22: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

22

Atlantis! Conflation: • Atlantis = Thera

Page 23: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

23

Atlantis! Conflation: • Atlantis = Thera

‘...harbour, filled with ships and merchants from all quarters’

Page 24: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

24

Atlantis! Conflation: • Atlantis = Thera

‘...harbour, filled with ships and merchants from all quarters’

Page 25: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

25

Atlantis! Conflation: • Atlantis = Thera • Atlantis = Knossos/Minoans

‘...harbour, filled with ships and merchants from all quarters’

Page 26: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

26

Atlantis! Conflation: • Atlantis = Thera • Atlantis = Knossos/Minoans

‘...harbour, filled with ships and merchants from all quarters’

Page 27: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

27

Atlantis! Conflation: • Atlantis = Thera • Atlantis = Knossos/Minoans • Atlantis = Thera/Knossos = Minoan ‘Empire’ - go down together!

‘...harbour, filled with ships and merchants from all quarters’

Page 28: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

28

Atlantis! Conflation: • Atlantis = Thera • Atlantis = Knossos/Minoans • Atlantis = Thera/Knossos = Minoan ‘Empire’ - go down together!

‘...harbour, filled with ships and merchants from all quarters’

Page 29: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

29

Later Narrative: • Thriving Minoan thalassocracy • Eruption of Thera • BUT activity increases!

Page 30: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

30

Later Narrative: • Thriving Minoan thalassocracy • Eruption of Thera • BUT activity increases!

Page 31: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

31

Later Narrative: • Thriving Minoan thalassocracy • Eruption of Thera • BUT activity increases! • ‘Burning of the Palaces’ postponed a generation!

Page 32: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

32

Later Narrative: • Thriving Minoan thalassocracy • Eruption of Thera • BUT activity increases! • ‘Burning of the Palaces’ postponed a generation!

“ a centralised economy which may

be working under some adversity which might be increased population … people coming in from Thera … What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether.”

Renfrew (1980)

Page 33: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

33

Later Narrative: • Thriving Minoan thalassocracy • Eruption of Thera • BUT activity increases! • ‘Burning of the Palaces’ postponed a generation!

‘Boom/Bust’ scenario

“ a centralised economy which may

be working under some adversity which might be increased population … people coming in from Thera … What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether.”

Renfrew (1980)

Page 34: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

34

Later Narrative: • Thriving Minoan thalassocracy • Eruption of Thera • BUT activity increases • ‘Burning of the Palaces’ postponed a generation!

Resilience + ‘Boom/Bust’ scenario

“ a centralised economy which may

be working under some adversity which might be increased population … people coming in from Thera … What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether.”

Renfrew (1980)

Page 35: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

35

Later Narrative: • Thriving Minoan thalassocracy • Eruption of Thera • BUT activity increases • ‘Burning of the Palaces’ postponed a generation!

Resilience + ‘Boom/Bust’ scenario Eruption of Thera a (spectacular) side-show!

“ a centralised economy which may

be working under some adversity which might be increased population … people coming in from Thera … What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether.”

Renfrew (1980)

Page 36: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

The ‘destruction’ of the Minoan ‘Empire’

36

Later Narrative: • Thriving Minoan thalassocracy • Eruption of Thera • BUT activity increases – resilience! • ‘Burning of the Palaces’ postponed a generation!

Networks:

• Resilience is a characteristic of strongly coupled networks

• Boom/Bust a characteristic of strongly coupled networks!

“ a centralised economy which may

be working under some adversity which might be increased population … people coming in from Thera … What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether.”

Renfrew (1980)

Page 37: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Contemporary parallels: The destruction of the World Trade Centre and current economic crisis

37

Narrative: • Thriving economy • World Trade Centre destroyed • BUT activity increases! • boom-bust instability

Networks!

‘Human tragedy rather than an economic calamity’

Page 38: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

© Imperial College London Page 38

II. Maths: Networking Thera

• Vertices = Major Population or Resource Sites

• Edges = Exchange between sites

- physical trade of goods or transmission of culture

- soft power and hard power

• Interactions controlled by physical limitations of ancient sea travel -- Simple Links

Page 39: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

39

Nodes/Sites:

Page 40: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

© Imperial College London Page 40

MBA Marine technology:

• Sail replaces oar for large distances

• Single journeys of 100km possible

• For the first time in the BA, technology is good enough to enable a fully connected exchange network to form

• – it does!

• Should only choose models whose dynamics are sensitive to geography!

Page 41: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Network Dynamics: ‘Space’ rather than ‘place’ Cost/benefit analysis • Benefits in establishing links • Benefits from local resources • Costs in supporting links, supporting population

Rational choice : ‘Optimisation’

• Trade off ‘costs’ against ‘benefits’ to best advantage

- minimising ‘social potential’

41

Page 42: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

© Imperial College London Page 42

Model:

• exchange benefits • resource benefits • population costs

ariadne

Page 43: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

© Imperial College London Page 43

Model:

Model aims for ‘best’ Settles for the ‘good’

Stochastic Optimisation!

Page 44: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

© Imperial College London Page 44

Outputs:

Nodes: Populations

Links: Flows

Network: Rankings and betweenness

Page 45: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Minoan Civilisation: 3 phases

• Pre-eruption

Vigorous maritime exchange network

• Eruption!

• Post-eruption resilience

(Even more?) vigorous maritime exchange network

• (In)stability and Fire Destruction

Internal collapse/external invasion/earthquake

45

Page 46: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Pre-eruption:

Network lives dangerously

• familiar ‘catastrophe’ fold in site exploitation (population) if exchange drops while lacking self-sufficiency

Agrees with Broodbank et al. (2005) “For the southern Aegean islands

in the late Second and Third Palace periods, ... there may often have been precariously little middle ground to hold between the two poles of (i) high profile connectivity, wealth and population, or (ii) an obscurity and relative poverty in terms of population and access to wealth that did not carry with it even the compensation of safety from external groups”.

Page 47: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Pre-eruption: Thriving network (V-Rank; L-Weight)

High ‘betweenness

for Knossos/Thera

Page 48: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Eruption:

Page 49: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Resilience and revival: Post-eruption rearrangement (V- Rank, L- weight)

Keos!

“the evidence points to, if anything, an increase in Minoan trading activity in LM IB, particularly in our excavations at Ayia Irini, Keos (14) where we literally had thousands of LM IB vases imported from outside” (Pichler 1980)

Page 50: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Later post-eruption behaviour: Endogenous Instability Increasing costs of sustaining network

“ a centralised economy which may be

working under some adversity which might be increased population … people coming in from Thera … What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether. There is a parallel here with a stock exchange collapse”

Renfrew (1980)

Page 51: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Later post-eruption behaviour: Endogenous Instability Increasing costs of sustaining network

“ a centralised economy which may be

working under some adversity which might be increased population … people coming in from Thera … What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether. There is a parallel here with a stock exchange collapse”

Renfrew (1980)

Page 52: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Later post-eruption behaviour: Endogenous Instability Increasing costs of sustaining network

“ a centralised economy which may be

working under some adversity which might be increased population … people coming in from Thera … What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether. There is a parallel here with a stock exchange collapse”

Renfrew (1980)

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53

Endogenous Instability Increasing costs of sustaining network

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Endogenous Instability Increasing costs of sustaining network

54

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Endogenous Instability Increasing costs of sustaining network

55

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Endogenous Instability Increasing costs of sustaining network

56

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Endogenous Instability Increasing costs of sustaining network

57

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Endogenous Instability Increasing costs of sustaining network

58

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Endogenous Instability Increasing costs of sustaining network

59

• A few strong links form at the expense of weak links

• Network collapses as the few remaining strong links disappear

• Stability correlated to existence of weak links

Page 60: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Alternatives: Avoiding instability Waiting for the Myceneans (?)

Page 61: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Alternatives: Avoiding instability Waiting for the Myceneans (?)

Page 62: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Alternatives: Avoiding instability Waiting for the Myceneans (?)

Page 63: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Alternatives: Avoiding instability Waiting for the Myceneans (?)

BUT instability generic!

Page 64: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Conclusions: Problems with some destruction myths:

64

• ‘Advanced’ civilisations • No problems with physical destruction

• Problems with instantaneous destruction of ‘civilisation’

Page 65: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Conclusions: Problems with some destruction myths:

65

• Rapid destruction of ‘civilisation’ requires absence of networking - networks give resilience • But networking necessary to have enabled ‘advanced civilisation’: e.g. Bronze requires tin

Page 66: Atlantis, what Atlantis? - Amazon S3€¦ · Atlantis, what Atlantis? Ray Rivers (Physics, IC) Collaboration with Carl Knappett (Art, Toronto) Tim Evans (Physics, IC) Myths and Maths,

Conclusions: Problems with some destruction myths:

66

• Rapid destruction of ‘civilisation’ requires absence of networking - networks give resilience • But networking necessary to have enabled ‘advanced civilisation’: e.g. Bronze requires tin

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Conclusions: Problems with some destruction myths:

67

• Rapid destruction of ‘civilisation’ requires absence of networking - networks give resilience • But networking necessary to have enabled ‘advanced civilisation’: e.g. Bronze requires tin V.

Japan under Sakoku - Tokugaru Shogunate Choshu Five!

Intentional refusal to network fails!

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Conclusions: Problems with some destruction myths:

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• ‘Human tragedy rather than an economic calamity’ - saved by the network! • ‘Tragedy’ that is remembered

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References:

C. Knappett, T. Evans, and R. Rivers, 2008.

'Modelling maritime interaction in the Aegean Bronze Age', Antiquity 82, 1009-1024.

T. Evans, C. Knappett, and R. Rivers, 2009.

'Using statistical physics to understand relational space: a case study from Mediterranean prehistory',

in D. Lane, S. van der Leeuw, D. Pumain and G. West (eds.), Complexity Perspectives in Innovation and Social Change, 451-79. Berlin: Springer Methodos Series 7.

C. Knappett, T. Evans, and R. Rivers, 2011.

'Modelling maritime interaction in the Aegean Bronze Age II: The eruption of Thera and the burning of the palaces’ , Antiquity 85, 1008-1023

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The myth goes on!

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71

The history of Thera contains all the stories told about it!

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72

Thank you!

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• Renfrew’s suggestion for Crete that ‘What I think you would expect to see is not a gradual decline, but an increasing intensity in the various subsystems of the culture system, including an increasing level of trade, until the system breaks down altogether. There is a parallel here with a stock exchange collapse.’ may look extreme, but the idea that, in general, there is an increasing (or, at least, not a decreasing) level of activity is supported by Pichler [II] who suggests that (primarily with respect to the Cyclades) ‘the evidence points, if anything, to an increase in Minoan trading activity in LM 1B, particularly in our excavations at Ayia Irini, Keos where we literally had thousands of LM 1B vases imported from outside’

• This is compatible with Carl’s comment that ‘some still see LM IB as a kind of heyday - and indeed some of the most impressive 'art' comes from this period, such as Marine Style, and new construction occurs: the palaces at Phaistos and Zakros are rebuilt / built in this phase. Further, ‘most sites continue to be occupied, but perhaps the affiliations of some change; more mainland oriented rather than to Crete.

• KPCS, Mountjoy paper, 399-404. Stresses need to separate LM IA from LM IB, and that in doing so we see that Cretan influence in Cyclades in LM IB is much less than in LM IA. She cites her study with Ponting (BSA 2000) showing LM IB pottery from Melos and Kea to be imported from mainland rather than Crete. See also her chapter in the Phylakopi volume (Renfrew 2007) in which she follows a similar line, of course.

• Kythera – seems to do fine and even flourish in LM IB. Coldstream and Huxley 1972. See also Coldstream [I] whose comparison of pottery on Kastri (Kythera)and Crete in LM 1 suggests that there may have been expansion in the LM1 period, since the only houses in the chief area of Kastri are dated LM 1B. Further, there are many imports (a ‘flood’) of Cretan AS(?) pottery in Kastri in LM 1B. The speculation is that it is due to refugees seeking their fortunes in the aftermath of the Theran eruption.

• Miletus – see Niemeier 2005 in Villing volume: Miletus IVb is equivalent to LM IB and there are Marine Style and Standard Tradition imports (e.g. stirrup jar); but note also LH IIA cup with double axe and LH IIB pithoid jar. Apparently still strong Cretan/Knossian connections, but not exclusively so.

• Rhodes: Marketou et al. 2006 BSA. Minoan imports in LM IB, but also Greek mainland imports appearing”

Typical outputs: Post-eruption