powerpoint: Rethinking World Historical Systems from Network Theory Perspectives

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ISA Conference, Historical
Long Run Session
Rethinking World Historical Systems from Network Theory Perspectives:
Medieval Historical Dynamics 1175-1500
Douglas R. White
UC Irvine
Powerpoint at
http://eclectic.ss.uci.edu/~drwhite/Conferences.html
Paper at
http://convention2.allacademic.com/index.php?cmd=isa06
• For the medieval period the data from Spufford
(2003) includes cities and industries coded in
25 year periods, 1175-1500, and trade routes
For Eurasia generally, the data from
Chandler are city size distributions, and
the data from Turchin relate to secular
cycles of population growth/decline,
social conflict, and other variables
The goal here is to include city network
variables in the study of world historical
system dynamics.
Operation of a Double Negative as the key to 2:1 Turchin’s Secular Cycles / Trade Cycles
Social
Conflict
Population Disintegrative
Decline ?≡
phase
Population
growth
lag
lag
Social
Conflict
lag
Population
decline
lag
Disintegrative
phase ?≡
Population
growth
lag
lag
Trade
expansion
Trade
contraction
Double negative
Secular Cycle ca. 220 years: nadirpop growthmaxdeclinenadir
Full Trade Network expansion/contraction ca. 440 years
2:1 Cycles:
Secular follows – Network Size leads
• Network Size Cycle
350-27BCE Global
27BCE-285 Regional
Time lag
• E. Roman Empire
• Carolingian Cycle
Time lag
• 2nd Roman Cycle
• 3rd (Principate)
Time lag
• (earlier cycle)
• 1st Roman Cycle
• Network Size Cycle
Global
600-350BCE Regional
• Network Size Cycle
285-600
Global
600-900
Regional
Figure 1: Operation of the Double Negative as the key to 2:1 City Size/Secular Phasing
600BCE-900CE
lag
Trade
expansion
Integrative
phase
Integrative
phase
Disintegrative
phase
lag
Disintegrative SECULAR
CYCLE
phase
SECULAR
CYCLE
Double negative
Secular Cycle ca. 220 years: nadirpop growthmaxdeclinenadir
Full Trade Network expansion/contraction ca. 440 years
Trade
contraction
• After 900 CE, the shapes of Chandler’s
city size distributions begin to differentiate
by historical period
• These differentations by historical period
relate to trading network
expansion/contraction
Figure 2: City Size Scaling: Zipfian
in the upper city size bins
Extreme global hubs, lesser hubs
in the neighborhood of most cities
are absent.
q-scaling is streched exponential
scaling that models the entire size
distribribution, including the
power-law slope of the upper
sized bins. (cumulative binned,
CDF)
In these periods, highest profits
are acrued by cities with the
highest glpbal flow centralities
Flow centrality (how much total network flow is reduced with removal of a node) predicts
the potential for profit-making on trade flows, emergence of financial centers, and
(reflecting flow velocities, as Spufford argues) organizational transformations in different
cities. Here, Bruges is a predicted profit center, prior to succession by Amsterdam.
This type of
centrality is
conceptually very
different. It maps
out very differently
than strategic
betweenness
centers like
Genoa, which are
relatively low in
flow centrality.
Figure 3: City Size Scaling:
sub-Zipfian in the upper city size bins
Global hubs less differentiated,
but lesser hubs in the neighborhood
of most cities are present.
In these periods, highest wealth
is accrued by cities with the
highest betweenness centralities
Betweenness centrality in the trade network predicts accumulation of mercantile wealth
and emergence of commercial hegemons. e.g., in the 13th century, Genoa has greatest
betweeness, greatest wealth, as predicted. Later developments in the north shift the network
betweeness center to England.
Episodically,
in 1298,
Genoa
defeated the
Venetians at
sea.
Repeating
the pattern,
England later
defeats the
Dutch at sea
Size of nodes adjusted
to indicate differences in
betweenness centrality
of trading cities in the
banking network
Betweenness Centralities in the banking network
Given its 13th C betweenness centrality, Genoa generated the most wealth
Figure 4: Operation of the Double Negative as the key to 2:1 City Size/Secular Phasing
lag
Trade &
city sizes
expansion
Integrative
phase
Integrative
phase
Disintegrative
phase
lag
Disintegrative SECULAR
CYCLE
phase
SECULAR
CYCLE
Double negative
Secular Cycle ca. 220 years: nadirpop growthmaxdeclinenadir
Full Trade Network and City Size expansion/contraction ca. 440 years
Trade &
city sizes
contraction
2:1 Cycles: 900-2000
Secular follows – Network Size leads
along with city size distributions
• German Emp. Cycle 900-1150
Regional
• Network/City Size Cycle
• Medieval Cycle
1150-1450
Global
• 1st Modern Cycle
1450-1660
Regional
• Network/City Size Cycle
• 2nd Modern Cycle
1660-1850
Global
• 3rd Modern Cycle
1850-2006+
Regional
• Network/City Size Cycle
Figure 5: Operation of the Double Negative as the key to 2:1 Secular / City Size Phasing
Social
Conflict
Population Disintegrative
Decline ?
phase
Population
growth
lag
lag
Social
Conflict
lag
Double negative
Population
decline
lag
Disintegrative
phase ?≡
Population
growth
lag
lag
Trade
expansion
Trade
contraction
Figure 6: Lag times in 2:1 Phasing for Modelski Polity Leadership Cycles (ca. 220/110 years)
Population
2 growth
Polity 2
expansion
Half cycle
lag
Polity 2
challenge ?
Social
Conflict
lag
Population
growth
lag
lag
Polity 1
expansion
Population Disintegrative
phase
1 Decline ?
At the foundation of a rethinking in a network perspective of long and
convoluted world historical systems change is a compelling need to
study dynamics in terms of specific interactions, the ebbs and flows of
differential network histories that nonetheless can be seen to operate in
large part under some set of generalizable processes. Network theory
can clarify basic concepts that can be used to test specific interactional
hypotheses derived from principles that are both very general, but also
specifically tailored to the phenomena at hand.
If the reasoning of this paper is correct, then a speculative hypothesis is
that a network approach to world historical systems, coupled with other
theoretical frameworks, offers a series of supplemental hypotheses and
potential explanations for historical change that are very specific
regarding the channeling of change and that take different network
contexts into account. The speculation is that with additional
understanding of network predictions and explanations of network and
historical dynamics, we should find that what have been taken as
idiosyncratic “path dependencies” will to a large extent turn out to be
network independencies, subject partly to the role of agency, but much
more predictable than previously thought possible.
Vertical text
Time lag
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