The Trajectory of the United States in the World-System: A Quantitative Reflection
Christopher Chase-Dunn, Rebecca Giem,
Andrew Jorgenson, Thomas Reifer, John Rogers
and Shoon Lio
Department of Sociology and Institute for Research
on World-Systems
University of California, Riverside
http//:irows.ucr.edu
IROWS
Working Paper # 8
https://irows.ucr.edu/papers/irows8/irows8.htm
University of California, Riverside.
City
lights from satellite photographs
Abstract: Revised estimates of world GDP, population and GDP
per capita published by Angus Maddison (2001) make possible a quantitative
reexamination of the trajectory of the United States in world historical
perspective and comparisons between the U.S. economic hegemony of the twentieth
century with the Dutch hegemony of the seventeenth century and the British
hegemony of the nineteenth century. We also track the trajectories of
challengers to reflect on the future of hegemonic rivalry.
To be presented at the XV ISA World Congress of Sociology, Brisbane,
Australia, Wednesday, July 10, 2002, 1:30-5:30pm Sessions on “American Primacy or American
Hegemony?” Research Committee on Comparative Sociology, organized by Neil
Smelser and Mattei Dogan.
Draft
V. 7-2-02, 8969 words)
Concerns about empire, hegemony and the
distributions of power and wealth among the peoples of the world are both au
courant and deeply historical. An institutionalized global culture of human
rights and equality shines an embarrassing floodlight on the objective rise of
within-nation and global inequalities generated by state-corporate
globalization. This is producing a renewed reaction against the wave of
marketization and commodification of human social relations that is likely to
be similar in some respects to the globalization backlash that occurred during
the late nineteenth and early twentieth centuries. This Polanyian (Polanyi
2001) “double-movement” of
commodification and the reassertion of political regulation over market forces
is an old phenomenon that reinvents itself in unique ways every time it comes
around, depending on the exact nature of the problems that need to be solved
and the actions of the agents who mobilize to solve them. An important
component of this elaborate dance is the recurrent phenomenon of “rise and
fall,” the centralization and decentralization of political/military and
economic power that is a characteristic of all hierarchical world-systems.
Complex
interchiefdom systems experienced a cycle in which a single paramount chiefdom
became hegemonic within a system of competing polities (Anderson 1994;
Chase-Dunn and Hall 1997: Chapter 5). Once states emerged within a region they
went through an analogous cycle of rise and fall in which a single state became
hegemonic and then declined. Eventually these systems of states (interstate
systems), experienced the phenomenon of semiperipheral marcher conquest
in which a new state from out on the edge of the circle of old states conquered
all (or most) of the states in the old core region to form a “universal empire”
(see Figure 1).
This
pattern repeated itself for thousands of years, with occasional leaps in which
a semiperipheral marcher state conquered larger regions than had ever before
been subjected to a single power ( Akkad, Assyria, Achaemenid Persia,
Alexandrian Hellenism, the Han Empire, Rome, the Islamic Caliphates, the Aztec
and Inca Empires, the Manchu Dynasty in China).
Figure 1:
Core-Wide Empire vs. Hegemonic Core State
With
the rise of Europe and intensified capitalism a modification of this old
pattern appeared. In the European interstate system the semiperipheral marcher
states were outdone by a new breed of capitalist nation-states. These
capitalist hegemons established primacy in the larger system without conquering
adjacent core states, and so the core remained multicentric despite the
continued rise and fall of hegemonic core powers. Imperialism was reorganized
as colonial empires in which each core state had its own peripheral “backyard.”
The efforts by some core powers to conquer their neighbors were defeated by
coalitions that sought to reproduce a multistate structure among core states.
Thus the oscillation between “universal state” and “interstate system” came to
end and was replace by the rise and fall of hegemonic core powers. The
hegemonic sequence of the modern interstate system alternates between two
structural situations as hegemonic core powers rise and fall: hegemony and
hegemonic rivalry. This was a new form of the process of rise and fall (see
Figure 2).
Figure 2: Unicentric vs. Multicentric Core
The
Westphalian interstate system, in which the sovereignty of separate and
competing states is institutionalized by the right of states to make war to
protect their independence, has become a taken for granted institution in the
modern world-system. Historians of international relations (e.g. Kennedy 1987) and theorists of international
relations (e.g. Waltz 1979) have come to define this situation as a natural
state of being. Authors with greater temporal depth (e.g. Wilkinson 1988, 1999)
have argued that the peculiar resistance of the modern interstate system to the
emergence of a universal state by means of conquest has been the result of an
evolutionary learning process unique to modern Europe in which states realized
that in order to protect their own sovereignty they should band together and
engage in “general war” whenever a “rogue state” threatens to conquer another
state.
A rather different explanation of the modern
transition from the pattern of semiperipheral marcher state conquest to the
rise and fall of hegemonic core powers points to the emergent predominance of
capitalist accumulation in the European-centered interstate system. Once capitalism had become the predominant
strategy for the accumulation of wealth and power it partially supplanted the
geopolitical logic of institutionalized political coercion as a means to
accumulation. Powerful capitalist core states emerged that could effectively
prevent semiperipheral marcher states from conquering whole core regions to
erect a “universal state.” The first capitalist-nation state to successfully do
this was the Dutch republic of the seventeenth century.
Angus Maddison (2001) has published a revision and
extension of his long-range estimates of populations, gross domestic products
and levels of economic development of countries and world regions. His most
recent endeavor presents quantitative snap-shots of economic and demographic
change over the past 2000 years. In this paper we combine the more detailed
estimates from Maddison’s (1995) earlier publication with the more recent and
revised estimates published in 2001 to paint a quantitative picture of the
trajectories of economic hegemony in the modern world-system.
Maddison’s
estimates make it possible examine the relative sizes and levels of development
of the national states and how these have changed over time. The necessary methodological operation for
these economic estimates has been to transform statistical evidence from all
over the world and from earlier centuries into a single comparable metric –
1990 “international dollars.” Maddison
(2001:171-175) carefully explains and justifies his use of PPP (purchasing
power parity) estimates rather than currency exchange rates to convert country
currency data into constant dollars. Purchasing power parity estimates convert
GDP estimates denominated in country currencies into one another by estimating
comparable purchasing power for consumer goods and the other elements that
compose the Gross Domestic Product. Maddison has worked for years on efforts to
produce comparable estimates for very different kinds of accounting systems
(e.g. the Net Material Product of centrally planned economies) and for
different kinds of economies (e.g. highly monetized vs. the partially monetized
economies in the periphery of the world-system). Maddison applies all this
experience to the most difficult task he has yet undertaken – the valuing of
the economic activity of premodern world regions. These quantitative estimates shed important light on the various
contentions of the social scientists and historians who have made comparisons
of the modern hegemons.
There has been a vociferous debate over
terminology that reflects underlying theoretical and disciplinary differences
among those who have sought to compare power processes over recent centuries.
As David Wilkinson has said, our concepts contain the bones of our disciplinary
ancestors. Some historians and
historical sociologists, while making the requisite comparisons between Dutch,
British and U.S. histories, reject the idea that these histories should be
considered instances of a single phenomenon(e.g. Mann 1993; O’Brien 2002). In
other words, they stress the differences to the extent of trivializing the
similarities, though the particular differences they stress are themselves
different. Both Mann and O’Brien refuse to characterize the role of Britain
during the Pax Britannica as hegemonic, especially as compared with the
superpowerdom of the United States in the post-World War II period. Britain is
seen as a fore-reacher leading the world in the ways of industrialization and
democracy, but not as a controller or exploiter of other countries. The
question of the relative size of the British economy in the larger world
economy during the nineteenth century compared with relative size of the U.S.
economy during the twentieth century is a matter that we shall investigate
below.
Among those who are more willing to analyze
structural similarities across different historical periods, the ways in which
these similarities are defined vary greatly. Several dimensions are at play in
these differences. One important distinction among theorists is between the
functionalists (who see emergent global hierarchies as serving a need for
global order,) and conflict theorists (who dwell more intently on the ways in
which hierarchies serve the privileged, the powerful and the wealthy). The term
“hegemony” usually corresponds with the conflict approach, while the
functionalists tend to employ the idea of “leadership,” though several analysts
occasionally use both of these terms (e.g. Arrighi and Silver 1999). Another
difference is between those who stress the importance of political/military
power vs. what we shall call “economic power.” This issue is confused by disciplinary
traditions (e.g. differences between economics, political science and
sociology). Most economists entirely reject the notion of economic power,
assuming that market exchanges occur among equals. Most political scientists
and sociologists would agree that economic power has become more important than
it formerly was. Some of the literature
on recent globalization goes so far as to argue that states and military
organizations have been completely subsumed by the power of transnational
corporations and global market dynamics (e.g. Ross 1995; Robinson 1998).
Rather
than reviewing the entire social science corpus of theories, we will describe
four contrasting and overlapping approaches in some detail – those of
Wallerstein (1984, 2002), Modelski and Thompson (1994); Arrighi (1994) and
Rennstich (2001, 2002). Wallerstein defines hegemony as comparative advantages
in profitable types of production. This economic advantage is what serves as
the basis of the hegemon’s political and cultural influence and military power.
Hegemonic production is the most profitable kind of core production, and
hegemony is just the top end of the global hierarchy that constitutes the
modern core/periphery division of labor. Hegemonies are unstable and tend to
devolve into hegemonic rivalry.
Wallerstein
sees a Dutch seventeenth century hegemony, a British hegemony in the nineteenth
century and U.S. hegemony in the twentieth century. He perceives three stages within each hegemony. The first is
based on success in the production of consumer goods; the second is a matter of
success in the production of capital goods; and the third is rooted in success
in financial services and foreign investment stemming from the
institutionalized centrality of the hegemon in the larger world-system.
George Modelski and William R. Thompson
(1994) are political scientists whose theoretical perspective contains a strong
dose of Parsonsian structural functionalism as applied to international
systems. The world needs order and so world powers rise to fill this need. They
rise on the basis of economic comparative advantage in new lead industries that
allow them to acquire the resources needed to win wars among the great powers
and to mobilize coalitions that keep the peace. World wars are the arbiters that
function as selection mechanisms for global leadership. But the comparative advantages of the
leaders diffuse to competitors and new challengers emerge. Successful
challengers are those that ally with the declining world leader against another
challenger (e.g. the U.S. and Britain against Germany).
Modelski
and Thompson (1994) measured the rise of certain key trades and industries,
so-called “new lead industries,” that are seen as important components of the
rise of world powers. They also have measured the degree of concentration of
naval power in the European interstate system since the fifteenth century
(Modelski and Thompson 1988). Their “twin peaks” model posits that each “power
cycle” includes two Kondratieff waves.[1] Their list of world powers begins with
Portugal in the fifteenth century. Then they include the Dutch period of world
leadership in the seventeenth century. And they see the British as having
successfully performed the role of world leader twice, once in the eighteenth
century and again in the nineteenth century. Thus they introduce the
possibility that a world leader can succeed itself. They designate the United
States as the world leader of the twentieth century.
Giovanni
Arrighi’s (1994) The Long Twentieth Century employs a Marxist and
Braudelian approach to the analysis of what he terms “systemic cycles of
accumulation.” Arrighi rejects any consideration of K-waves as being unrelated
to theories of capitalist accumulation.[2]
He sees hegemonies as successful collaborations between capitalists and
wielders of state power. His tour of the hegemonies begins with Genoese
financiers who ally with Spanish and Portuguese statesmen to perform the role
of hegemon in the fifteenth century. In Arrighi’s approach the role of hegemon
itself evolves, becoming more deeply entwined with the organizational and
economic institutional spheres that allow for successful capitalist
accumulation. He sees a Dutch hegemony of the seventeenth century, then a
period of contention between Britain and France, and a British hegemony in the
nineteenth century, followed by U.S. hegemony in the twentieth century. A
distinctive element of Arrighi’s approach is his contention that profit making
from trade and production becomes more difficult toward the end of a ‘systemic cycle
of accumulation” and so big capital becomes increasing focused on making
profits through financial manipulations.
Arrighi’s approach is compatible with the idea that new lead industries
are important in the rise of a hegemony, but he sees the economic activities of
big capital during the declining years in terms of speculative financial
activities. These latter often correspond with a period of “growth” in which
incomes are rising during a latter-day belle époque of the systemic
cycle of accumulation. But this period of accumulation is based on the economic
power of haute finance and the centering of world markets in the global
cities of the hegemons rather than on their ability to produce real products
that people will buy, and so these belle époques are unsustainable and
are followed by decline.
Recent research by Joachim Rennstich (2001) retools Arrighi’s (1994) formulation of the reorganizations of the institutional structures that connect capital with states to facilitate the emergence of larger and larger hegemons over the last six centuries. Modelski and Thompson (1996) argued that the British successfully managed to enjoy two “power cycles,”[3] one in the eighteenth and another in the nineteenth century. With this precedent in mind Rennstich considers the possibility that the U.S. might succeed itself in the twenty-first century. Rennstich’s analysis of the organizational, cultural and political requisites of the contemporary new lead industries – information technology and biotechnology – imply that the United States has a large comparative advantage that will most probably lead to another round of U.S. pre-eminence in the world-system. He argues that a hegemon can succeed itself if the rising industrial sectors within the hegemon are able to separate themselves sufficiently from the old declining industrial sectors. Rennstich focuses on the regional and institutional differences between old and new sectors of the U.S. economy.
Earlier
studies have often most often proceeded by designating particular countries or
networks as hegemonic during certain periods and dividing these periods up into
subperiods. Only a few studies have quantitatively compared the hypothesized
hegemons with other core powers or subjected the subperiodizations to
quantitative analysis. Modelski and Thompson (1988) examined the distribution
of naval power among the “great powers” of the European interstate system since
the fifteenth century. This is the most thorough and comprehensive quantitative
study that actually measures hegemony by comparing contending countries over a
long period of time. Modelski and Thompson’s (1996) quantitative study of new
lead industries does not break these down by country.
Using
economic (total GDP and per capita GDP) and military indicators (military
expenditures) to create composite measures of power in the world-economy,
Kentor (2000) explores the changes in core power and hegemony by providing
snapshots profiles for core countries in 1820, 1900, 1930, 1950, 1970, and
1990. Results indicate that in 1820,
the U.K. was the dominant core power with an overall standardized composite
score twice that of its nearest rival, France (Kentor 2000). The U.K.’s relative strength came primarily
from its level of capital intensity (as indicated by GDP per capita), and
military strength. By 1900,
relationships between core powers had changed dramatically. The U.K. still possessed the highest overall
score, but its strength was based primarily upon its military power. The U.S.
and China had surpassed the U.K. in output, and the U.S. was approaching the
U.K.’s level of capital intensity (Kentor 2000). The shift in hegemony was quite evident by 1930 where the U.S.
achieved dominance through its advantage in national output. In 1950, national output for the U.S. had
grown to more than three times that of its nearest rival (USSR), its relative
level of capital intensity was twice that of the U.K., and its relative level
of military power increased to an almost identical level with the USSR (Kentor
2000). By 1970 U.S. relative military
strength had increased while its advantages in output and capital intensity had
declined. By 1990 the USSR lost its
military dominance, Japan had continued its rise in the world-economy with
increases in all areas, China had grown to the second largest producer in the
world-economy, and the U.S. had increased its global dominance with relative
growth in all three power dimensions (Kentor 2000).
The
relationship between population and intersocietal power is complicated and has
changed greatly as new techniques of power have evolved. Polities with more
people have often been able to exercise power over polities with fewer people
because more people means more warriors in a confrontation. But this
relationship has been complicated by other factors. Military technology and
organization, solidarity within societies, transportation and communication
technology, logistics and geography are factors that have influenced
geopolitics somewhat independently of demography. And demography itself has
several dimensions. A polity may have large numbers, but where are they located
and how are they organized and how quickly can they communicate with one
another? What are the advantages conferred by geographical location? What kinds
of societies can more effectively innovate and implement new strategies and
techniques of power?
The
phenomenon of semiperipheral development (Chase-Dunn and Hall 1997: Chapter 5)
points to a recurrent pattern in which smaller, less stratified, and less
population dense semiperipheral societies outcompete older core societies that
have higher population densities. These issues need to be sorted out by a
systematic comparative study of the relationships between different dimensions
of demography (total population, population density, settlement sizes and
locations) and different dimensions of intersocietal power relations. Maddison’s (1995, 2001) revised estimates of
population sizes of regions and polities provide us with a fresh opportunity to
examine the question of size and power.
Figure 3: Shares of World Population, Last Two Thousand Years
Figure 3 shows shares of the total global population since the beginning of the Common Era two thousand years ago according to Maddison’s (2001) estimates. The time scale on the horizontal axis of Figure 3 is misleading because the intervals are not equal. Keeping this in mind we can see that the countries that became hegemonic in recent centuries were never very significant and did not change much in terms of their shares of world population. The countries with the big shares, India and China, still have huge shares, though India declined quite a lot until 1950 and then begins to rise again. China peaked in 1820 and has mainly been declining since then. The United States rose above 5% of world population in 1913 and dropped below that level in about 1985.
Is the total population of a region related to its power vis a vis other regions with smaller populations? This is part of the question of demographic power. Other dimensions of demographic power include relative population densities, and the sizes of settlements and cities. Total population size is obviously partly a reflection of territorial size. The “China” and “India” in Maddison’s data are regions rather than single unified polities through the time span shown in Figure 3. Another potential problem with Figure 3 is the “systemness” of the included regions. It is usually presumed that China and India were not strongly connected with Europe and the Americas during the whole period shown. In the case of the Americas this is obviously true. The European countries only became linked directly through political/military interactions with India and China in the last few centuries, though pan-Eurasian prestige goods trade was already well developed two thousand years ago. Relative power assumes regularized interaction. We contend that regularized interaction networks should be the proper unit of analysis for studying world-systems (see Chase-Dunn and Hall 1997).
Figure 3 tells an important story despite its temporal and spatial problems. East Asia and South Asia were the population centers of the Earth, but have become less so over the past two millennia. But total population size is not very useful indicator of demographic power. Population density, urbanization (the proportion of total population living in cities (urbanization), and the sizes of the largest cities are much better reflections of the kinds of power that greater population confers. A recent study of the sizes of the largest cities in world regions over the past four millennia has demonstrated that the largest European cities began increasing their shares of population of the world’s 20 largest cities in the thirteenth century of the Common Era (Chase-Dunn and Manning 2002). Contra Andre Gunder Frank (1997), the rise of Europe was not a last minute development that occurred in the late eighteenth century. Formerly peripheral Europe had been developing its own internal core region and expanding its cities and the power of its states for hundreds of years by the time China was finally eclipsed in the nineteenth century.
Total GDP combines both economic development and economic
size. It rises simply because there are more people. Thus a graph of shares of
world GDP over the last two millennia looks quite similar to Figure 3 above
until the beginning of the nineteenth century. This is to say that India and
China contained most of the world’s GDP because they contained most of the
world’s population. But after 1800 CE this began to change because of the rapid
increase in GDP per capita in certain European countries and the United States.
Figure 4 (below) shows the shares of world GDP held by the core countries of
the European interstate system since 1820. Maddison (1985) provides estimates
for 1820 and 1850, and then yearly estimates from 1870 on. We have interpolated
his estimates of total world GDP in order to calculate the yearly shares after
1870, and we have added data from Maddison (2001) for the years after
1994.
Figure 4: Shares of World GDP, 1820-1998
Sources: Maddison 1995, 2001.
Figure 5: Country GDP per Capita as a ratio to Average World GDP per capita, 1500-1998
Source: Maddison 2001
The first thing we can notice about Figure 5 is that all
the core countries show a general upward trend in the ratio of their national
GDP per capita to the world average GDP per capita. This is an indication that
the trend toward greater inequality between the core and the periphery that has
been noted in recent decades is in fact of long standing. But this is not our
main concern in this paper. Rather we are investigating changes in relative differences
among countries within the core and upwardly mobile semiperipheral challengers.
The seventeenth century economic hegemony of the
Netherlands is indicated by its peak ratio of 3.4 in 1700. Interestingly, the
Netherlands has returned to this same high point in 1998. The difference is
that in 1700 the Netherlands was far ahead of its closest competitor, the
United Kingdom, while in 1998 it was bunched together with all the other
countries, save the United States, which was much higher.
The British hegemony of the nineteenth century is much
more evident in Figure 5 than it was in Figure 4, and its high point appears to
have been in 1870 (but see Figure 6 below). Maddison’s books do not contain
estimates of British GDP per capita between 1700 and 1820 and so we are not
able to see if the Modelski and Thompson contention of a British power cycle in
the eighteenth century would be borne out by comparative economic data.
Figure 5 indicates the long ascent of the United States
to an apparent peak in 1950 (ratio = 4.52), then a decline to 4.06 in 1973, and
rise back to 4.78 in 1998 (but see Figure 6 below). The U.S. ratio in 1998 is
significantly larger than that of the second country as gauged by the GDP per
capita ratio, Japan (ratio = 3.57). The story of Germany and France is a
similar long rise, except for Germany’s dip in 1950. Figure 5 Japan shows no
rise in the GDP per capita ratio until after 1950, contradicting all the
literature about Japanese development after the Meiji restoration (but see
Figure 6 below). Japan’s ascent after 1950 is quite rapid and in 1998 it is
higher than any of the other core countries, save the United States.
In order to more closely examine the temporality of the
changes indicated in Figure 5 we have combined estimates from Maddison’s (1995)
earlier presentation with his updated estimates (2001) to produce Figure
6. Figure 6 uses Maddison’s new
estimates from 1950 on and his yearly estimates from 1870 to 1950 to calculate
the ratio of country GDP per capita to the average world GDP per capita.
Figure 6: Country GDP per capita as a ratio to World GDP per capita, 1820-1998
Sources: Maddison 1995, 2001.
Figure 6 can be compared with Figure 4 above to see the
differences between shares of world GDP and the ratios of country GDP per
capita to world GDP per capita. Figure 6 shows that British capital intensity
was already significantly higher than French capital intensity in 1820, whereas
their shares of world GDP were nearly the same (Figure 4). The French economy
was demographically and territorially larger that the British economy, and this
accounts for their similar size and share of world GDP. But the British economy
was GDP per capita ratio to average world GDP per capita was 2.6, whereas the
French ratio was 1.8. This indicates a significant advantage in average capital
intensity for the British. Figure 6
shows that the British economic hegemony as indicated by relative capital
intensity peaked in 1871, when the British ratio was nearly 3.9. The British
ratio then decline slowly until 1918, when it took a dive to a low point of 2.6
in 1921, from whence it wobbled around below 3 until 1932 and then experienced
a revival to 3.7 in 1943 and then another slow decline to 2.8 in 1977 followed
by a slow rise to 3.3 in 1998.
The trajectory of U.S. relative capital intensity is
similar in many respects to U.S. GDP share as shown in Figure 4 but there are
also some interesting differences. The U.S. rise during the nineteenth century
was steeper by the GDP share measure than by the relative capital intensity
ratio. This is because the U.S. population and territory were growing as fast
as was its relative capital intensity during the nineteenth century. The
capital intensity ratio shows the same peak in 1944 as was revealed in the GDP
shares in Figure 4. But after that the U.S. trajectory is a bit different. The
post-war plummet is followed by a recovery, as was the GDP share indicator, but
the successive plateaus and declines after that are less evident, and there is
a new upward movement that begins in 1982 and reaches a rather high level of
4.8 in 1998. This last might be interpreted as indicating a renewal of U.S.
economic hegemony as hypothesized by Rennstich, but another aspect of Figure 6
needs to be noted. Beginning in the middle of the 1970s all the core powers
have been increasing their relative capital intensities. This is because global
inequality has been increasing for the last three decades, with the core
countries experiencing greater growth in GDP per capita than most of peripheral
and semiperipheral countries. The rise in relative capital intensivity for the
core countries shown in Figure 6 is probably due to increasing global
inequality of development.
What we need to do in order to examine relative
trajectories of the core countries is to calculate the country ratios to the
average GDP per capita of the core group. These calculations will be reported
in the next revised version of this paper.
Maddison’s (1995, 2001) new estimates are not the best
possible measures of relative economic power of core countries, as discussed
above. But they do make it possible to make some long run and large-scale
quantitative comparisons, and the results of have implications for future
research on the problem of hegemony. It should be noted that the hegemonic
rises of the Dutch, British and United States constitute a continuation of the
phenomenon of semiperipheral development in which a formerly semiperipheral
society transforms institutional structures and ascends to the top of a
world-system. All of the hegemons were former semiperipheral countries before
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[1] The Kondratieff Wave (K-wave) is a 40-60 year business cycle. The “A-phase” is a 20 to 30 year period of higher average growth rates in the world economy, while the “B-phase” is a 20 to 30 year period of lower average growth rates. The best evidence for the existence of the K-wave is to be found in price histories, but considerable evidence also exists for a production long wave (Goldstein 1988).
[2] Many of the political scientists who analyze K-waves spurn any analysis of capitalism (e.g. Goldstein 1988; Modelski and Thompson 1994), but Marxist economists such as Ernest Mandel (1980) and David Gordon (1980) have provided important theorizations of the K-wave.
[3] “Power cycle” is Modelski and Thompson’s term for what Arrigui (1994) calls “systemic cycles of accumulation” and Chase-Dunn (1998) calls the “hegemonic sequence.”
[4] The European Union in Figure 4 is composed of France, Germany, Greece, Ireland, Italy, Netherlands, Portugal, Spain, Sweden and the United Kingdom. The share of world GDP of these countries is calculated from 1950-1998 despite that the European Union only emerged as an effective confederation in the last decade. This is to show the trajectory of this emergent state’s position in the world economy.