<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>C. d. Dampierre);</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Using Online Catalogs to Estimate Economic Development in Classical Antiquity</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Charles de Dampierre</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Valentin Thouzeau</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nicolas Baumard</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institut Jean Nicod, Département d'études cognitives, ENS, EHESS, PSL University</institution>
          ,
          <addr-line>CNRS</addr-line>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Despite signi昀椀cant progress, economic development in Classical Antiquity remains di昀케cult to study: proper economic data (e.g. agricultural production, wages) are scarce, estimates of urbanization, GDP or population remain highly uncertain, and the use of indirect markers of development such as shipwrecks or coin hoards is limited. Here, we propose a di昀erent approach based on the production of immaterial works (e.g. poems, philosophical treatises, musical pieces, scienti昀椀c work). Immaterial works require time, energy, resources, and human capital to be produced, disseminated and appreciated, and thus indirectly re昀氀ect a wide range of economic processes. Moreover, their survival rate tends to be higher because they can be abstracted from their initial material incarnation (e.g. scrolls, manuscripts) and preserved throughout the centuries. We build a large database of cultural producers (painters, scientists, etc.) that exist in online catalogs (Library of Congress ID, GND ID, VIAF ID, Iranica ID etc) and create an estimate of immaterial production that is robust and consistent across cultures and sources. We show that immaterial production in Ancient Greece and Ancient Rome is closely related to economic development, and reveals important phases of economic development. Overall, immaterial production provides new insights into the roots and the evolution of economic development in the very long run in Classical Antiquity.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;humanities</kwd>
        <kwd>online catalogs</kwd>
        <kwd>computer science</kwd>
        <kwd>Ancient Greece</kwd>
        <kwd>Ancient Rome</kwd>
        <kwd>immaterial productivity</kwd>
        <kwd>economic development</kwd>
        <kwd>Classical Antiquity</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Economic development is key to understanding the dynamic of ancient societies1,[
        <xref ref-type="bibr" rid="ref14 ref36">37, 12</xref>
        ]. Yet,
estimating economic development in pre-industrial societies is o昀琀en di昀케cult. One approach,
initiated by Maddison 2[
        <xref ref-type="bibr" rid="ref11">9</xref>
        ] and subsequently improved by a large number of economists 3[
        <xref ref-type="bibr" rid="ref15 ref2">, 2,
13</xref>
        ], has been to quantify the Gross National Product (GNP) using estimates of the agricultural
and industrial production of a given society. This approach, however, is of limited use for the
earliest periods, such as Classical Antiquity, where data is more fragile 4[
        <xref ref-type="bibr" rid="ref1 ref37">1, 38</xref>
        ]. Another
solution consists of using a single marker of development such as urbanization4[
        <xref ref-type="bibr" rid="ref26">, 5, 28</xref>
        ], building
construction [
        <xref ref-type="bibr" rid="ref43 ref45 ref47">44, 46, 48</xref>
        ], or shipwrecks [
        <xref ref-type="bibr" rid="ref13">11</xref>
        ]. Ian Morris notably built on these data to construct
a composite index that aggregates estimates of energy capture, urbanization, communication
technologies, and warfare technologies 3[6]. These methods have considerably improved our
assessment of the dynamics of pre-modern civilizations. However, they remain limited, both
in their temporal resolution (typically, a century) and in their scope (o昀琀en limited to the most
developed periods but see recent progress in quantitative epigraphy1[5, 22, 21]).
      </p>
      <p>
        In this article, we propose a di昀erent approach based on immaterial production.
immaterial production (e.g. poems, philosophical treatises, musical pieces) represents an enormous
amount of information about social and economic development. Like all goods, cultural goods
require resources to be produced (time, materials, technology, energy). To put it another way,
behind every Plato, every Virgil, and behind the hundreds of thousands of other producers in
our database, there are infrastructures, schools, teachers, consumer markets, institutions, that
enable a signi昀椀cant level of immaterial production. In line with this idea, a higher level of
economic and social development is associated with a higher level of immaterial production.
For instance, scienti昀椀c production, a sub-昀椀eld of immaterial production, is well correlated with
economic and social development, both in pre-modern1[0] and modern societies [
        <xref ref-type="bibr" rid="ref25 ref29 ref32">27, 30, 33</xref>
        ].
Similarly, the production of manuscripts and books is strongly correlated with economic
development [
        <xref ref-type="bibr" rid="ref10 ref11 ref49">8, 9, 50</xref>
        ]. Methodologically, using immaterial production as an indicator of the
economic development of civilizations presents three advantages. First, immaterial works tend to
survive very well throughout history. Cultural works have two modes of existence1[
        <xref ref-type="bibr" rid="ref18 ref4">4, 16</xref>
        ]: a
material mode (the physical support of the work, e.g., scrolls, parchment, codices) and an
immaterial mode (the work itself, e.g., texts, sheet music, ideas) that can survive the destruction
of the material support. For example, Kestemont et al.[26] recently demonstrated that while
more than 80% of German medieval documents (e. g. a copy of Tristan and Iseult) have been
lost over time, a much smaller proportion (about 20%) of their immaterial version (i.e. the text
of Tristan and Iseult) are irretrievably lost. Second, immaterial production has been
extensively studied by scholars in the humanities. immaterial producers have been the subject of
numerous academic studies concerning their dating, authorship, and cultural signi昀椀cance
(innovativeness, originality, sources of inspiration). To conclude, immaterial works can provide
extensive, robust and high-quality data on economic development.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Material and Methods</title>
      <sec id="sec-2-1">
        <title>2.1. Material: Online catalogs</title>
        <p>Online catalogs are managed by di昀erent types of institutions. First, by national specialized
institutions dedicated to collecting and curating information: the Library of Congress is the most
known example and comprises an extensive assortment of individuals’ information, books,
periodicals, manuscripts, maps, and audiovisual materials for a total of around 170 million items.
Some other notable examples of national catalogs’ identi昀椀ers include the GND ID (Germany),
the BNF ID (France), the ctext (Chinese Text) data entity ID, the National Library of Israel ID,
Iranica ID (Iran), the National Library of Korea ID (Korea), TDV İslam Ansiklopedisi ID (Turkey)
for the Islamic Encyclopedia created by the Turkish religion authority Diyanet (Erünsal, 2007)
and many others. Second, they are managed by international institutions such as the Virtual
Authority File (VIAF), the International Standard Name Identi昀椀er (ISNI) or the Consortium of
European Research Libraries (CERL). Third, they are managed by collective institutions such
as Wikipedia or Wikidata 4[7].</p>
        <p>
          The richness and depth of catalogs allow researchers to access a wealth of primary and
secondary sources, enabling them to explore a variety of social phenomena and conduct
interdisciplinary analyses. Another main advantage of catalogs are the rigorous standards and
principles they are built on, ensuring high-quality metadata for the resources they contain.
There has been ongoing works over the years to unify sources, such as author names,
publication dates, subject headings, and descriptive annotations. This early quality control promotes
data consistency and accuracy, thereby enhancing the reliability and reproducibility of
computational social science research [
          <xref ref-type="bibr" rid="ref44">45</xref>
          ]. To retrieve authoritative data on individuals and their
works, we employed Wikidata as a gateway within the domain of online catalogs. Wikidata
encompasses both collaborative and automated components, the latter of which extracts
information from diverse catalogs and harmonizes knowledge. For example, a notable 昀椀gure such
as Plato is directly associated with over 200 catalogs worldwide through unique identi昀椀ers on
Wikidata. There are a total of 548 catalogs in our database distributed in 60 countries on all
continents.
        </p>
        <p>In order to identify immaterial producers, we used Wikidata’s advanced ontology system.
Each new ontology (for example the creation of a category such as ”painter” or ”geographer”)
must be validated by the Wikidata community to ensure the validity of the information. This
ontology system consists of a hierarchy of categories and sub-categories. For example, a
”Painter” is a subcategory of ”Visual Artist” which itself is a subcategory of ”Artist”. This system
of assigning occupations ensures that we build the dataset without any particular hypothesis
in mind, leaving some of the methodological decisions to the contributors and administrators
in the Wikidata community. We selected individuals who have at least one occupation that is
a subcategory of ‘writer’, ‘scientist’ or ‘artist’ as described in the Wikidata Ontology. Tabl1e
contains the cumulative count of individuals within the top catalogs.</p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Geographical and temporal granularity</title>
        <p>
          To measure the immaterial productivity of each region, we take as a 昀椀rst rule that an individual
contributes to a region if he or she is born in a place belonging to this region. This is technically
convenient since the place of birth can be linked to geographic coordinates in Wikidata. Thus,
even in cases where the name of the place of birth no longer exists, it is easily identi昀椀able
through its geographic data and can be extracted and then assimilated to a country existing
today. When information about the birth place is not present, we consider the nationality of
the individuals as indicated in Wikidata and linked it to today’s countries’ coordinates. We
then manually classify some individuals accounting for the fact that individuals move from a
region to another during their lifetime and when they move, they o昀琀en contribute more to
the region they move to than to the one where they were born. We divide the Mediterranean
territory into two parts: the Latin World and the Greek World, using the Jireček line1[
          <xref ref-type="bibr" rid="ref11">9</xref>
          ]. In the
Latin World, we include individuals born between -300 and 500 in Italy and between -100 and
500 in Tunisia, Algeria, Morocco, Romania, Croatia, Serbia, Bosnia and Herzegovina, Slovenia,
France, United Kingdom, Germany, Switzerland, Austria, Spain and Portugal. For the Greek
World, we include individuals born between -800 and 500 in Ukraine, Albania, Montenegro,
Kosovo, Turkey, Greece, Bulgaria, Romania, France (only from -800 to -300), Italy (only from
-800 to -300), Libya, Egypt, Israel, State of Palestine, Lebanon, Syrian Arab Republic, Jordan,
Cyprus and Iraq. We use the date of birth of individuals to locate them in time. We assume
that a region has high immaterial productivity at a speci昀椀c time if individuals born during that
time are more likely to engage in creative or scienti昀椀c activities during their lifetime than at
other times.
        </p>
      </sec>
      <sec id="sec-2-3">
        <title>2.3. Creating the immaterial production index</title>
        <p>Using the catalogs, we create an index of immaterial production by counting the number of
individuals for every region every 50 years. We 昀椀rst plot the immaterial index for the di昀erent
catalogs that exist in our database in order to assess the consistency of the di昀erent sources
across di昀erent regions of the world to avoid biases. We chose the top 20 catalogs assigned to a
country and removed international catalogs. We found that the overall trends across catalogs
are strongly correlated (mean person correlation p = 0.80 for the Greek World and p = 0.88 for
the Latin World) indicating that di昀erent catalogs in di昀erent countries converge towards a
fairly same pattern of the past (see Fig. 1).</p>
        <p>We then plot a unique trend for the Greek World and the Latin World combining information
from the diverse catalogs. In order to leverage every piece of information, we included all
individuals found in all catalogs: if an individual exists in di昀erent catalogs, it is counted just
(a) Number of individuals in the Greek World
(b) Number of individuals in the Latin World
once to ensure that every individual has the same weight in the index, whatever its source: for
instance, belonging to the Library of Congress or to the National Library of Korea weights the
same. In order to smooth the trend, we use a loess regression. We display individuals on the
graphs based on a proxy of notability ie the number of catalogs they are referred in (See Fig.
2,4,5).</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Immaterial production captures economic development in pre-industrial civilizations</title>
      <p>
        Our results are in line with the dynamics highlighted by previous work. Firstly, we highlight an
initial period of strong growth between 800 BCE and 500 BCE. From 800 to 300 BCE, economic
indicators suggest that a昀툀uence increased in the Greek world (Greece, the Aegean, Sicily and
Southern Italy) (See Fig. 2). During this period, population increased by 1500% (from 0,5 to
8,5 millions) [
        <xref ref-type="bibr" rid="ref31 ref37">32, 38, 17</xref>
        ], urbanization went from 0% to 25% [
        <xref ref-type="bibr" rid="ref34 ref37">38, 17, 35</xref>
        ] and GDP per capita
probably tripled from $400 to $1200 [
        <xref ref-type="bibr" rid="ref33 ref35 ref37">38, 36, 34</xref>
        ]. These quantitative indexes are con昀椀rmed by
other indicators such as hoards size or house size3[
        <xref ref-type="bibr" rid="ref37">6, 38</xref>
        ]. For instance, while the median Greek
house in the 9th century BC was small, it became both much bigger and much better built over
the next 500 years. Looking at square footage alone, the change in the size of the median house
is over 350%—from ca. 80 square meters to ca. 360 square meters [
        <xref ref-type="bibr" rid="ref35 ref37">36, 38</xref>
        ].
      </p>
      <p>
        From 350 BCE onward, we observe a period of marked decline. In line with this result,
historians have established that Core Greece experienced a period of decline3[
        <xref ref-type="bibr" rid="ref37">6, 38</xref>
        ]. However, the
decline was not uniform, and there is some economic growth in the newly Hellenized kingdoms
in Egypt, Asia Minor or Syria with cities such as Alexandria (300 000 inhabitants in 300 BC, and
400 000 in 200 BC), Antioch (250 000 inhabitants) and Pergamon (200 000 inhabitants) (Morris,
2006b). This period of decline seems to end around 200 BCE. The level of economic
development in the eastern Mediterranean remains relatively low until the end of the ancient period,
with an optimum during the 2nd century CE, which is also found in the western part1.[
        <xref ref-type="bibr" rid="ref10">8, 6</xref>
        ].
Overall, the pattern we get from the study of immaterial production is strikingly similar to the
pattern inferred by Ober using more qualitative indicators (see Fig.3).
      </p>
      <p>
        For the Latin world, we observe a period of strong growth from 300 BCE to 100 BCE (see Fig.
4). Quantitative archaeological series con昀椀rm this trends showing an increase in shipwrecks (a
proxy of international trade), wood 昀椀nds, coins in circulation, lead pollution, building
inscriptions, water mills and papyruses [
        <xref ref-type="bibr" rid="ref30 ref35">5, 20, 36, 31</xref>
        ]. Therea昀琀er economic development remained
relatively stable, with some well-known periods of decline such as the 3rd century (Crisis of
the Third Century), and some periods of relative a昀툀uence such as the second century
(NervaAntonine dynasty) and the 4th century (Constantinian dynasty). This period of decline is well
documented. International trade declined, size of building, public inscription, size of cows, etc.
[
        <xref ref-type="bibr" rid="ref47">5, 48</xref>
        ]. A昀琀er 200 BCE, all economic indicators (shipwrecks, building inscriptions, lead
pollution, wood 昀椀nds, coins in circulation, etc.) demonstrate that the level of development of the
Mediterranean area started to decline importantly around the 3rd c. CE, although this was
probably less important and delayed until the 4th c. in Egypt or Northern Africa5[
        <xref ref-type="bibr" rid="ref47">, 48</xref>
        ].
      </p>
      <p>
        Overall, the pattern we get from the study of immaterial production is strikingly close to the
patterns that can be inferred from material proxies such as shipwrecks (see Fig.5) [
        <xref ref-type="bibr" rid="ref48">49</xref>
        ] or lead
pollution [
        <xref ref-type="bibr" rid="ref13 ref30">31, 11</xref>
        ] (for a discussion, see [
        <xref ref-type="bibr" rid="ref35 ref48">36, 40, 49</xref>
        ]).
      </p>
      <p>
        These estimations also allow us to compare the level of development of the Greek and Roman
golden age. While the population of the Latin World during the 1st century was probably three
of four times more important than the population of the Greek world during the Classical
period (20 to 25 millions against 5 to 7 millions4[
        <xref ref-type="bibr" rid="ref2 ref37">2, 38, 7</xref>
        ]), the immaterial production of the
Latin world is lower than the immaterial production of the Greek world (see Fig6.). This is
consistent with recent works emphasizing the unique level of Greek development in terms of
urbanization, per capita production, living standards during the Athenian period37[
        <xref ref-type="bibr" rid="ref37 ref42">, 38, 43</xref>
        ].
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Discussion</title>
      <p>
        In this paper we have used immaterial production to quantify economic development
throughout classical antiquity. Our results are broadly consistent with the academic literature. In the
Greek world, we observe a period of strong growth from 800 BCE to 450 BCE, followed by a
steep decline and then stagnation for the rest of antiquity. In the Roman world, we also observe
a period of strong growth from 300 BCE to 50 BCE, followed by a steep decline and then
stagnation until the fall of the Roman Empire. These results suggest that immaterial production could
indeed serve as a proxy for economic development. Such a correspondence between
immaterial production and economic development replicates and extends to earlier periods the results
of previous studies showing a relationship between scienti昀椀c immaterial production and GDP
per capita in modern Europe (1300-1850) [
        <xref ref-type="bibr" rid="ref12">10</xref>
        ].
      </p>
      <p>
        Obviously, this study is not without limitations. First, it relies on catalogs and Wikidata,
both of which are imperfect and biased sources. Second, the geographical granularity of the
study is limited. For example, it would be interesting to follow more closely the trajectories
of important economic regions such as Egypt or North Africa, which do not have the same
economic trajectory as Greece or Rome. Thus, more work needs to be done to accurately link
the location of individuals to the regions studied. In this study, we used the place of birth as a
proxy for the region (Latin or Greek) in which people lived and worked. But individuals may
have traveled (especially during the Imperial period), and this may bias our estimates. Third,
the study is subject to survivor bias, focusing primarily on notable individuals that exist in
modern catalogs, which doesn’t account for the entirety of immaterial production. This may
explain why our estimate of the peak economic development for the Latin world (100 BCE)
is earlier than other methods (150 CE). Future research should address these limitations by
systematically comparing estimates based on immaterial production and estimates based on
material production [
        <xref ref-type="bibr" rid="ref2 ref27 ref3">29, 3, 2</xref>
        ]. Another possibility would be to explore methods for estimating
individuals who are not remembered 2[6].
      </p>
      <p>Regardless of the limitations of this methodology, it remains true that we observe a strong
association between economic development and immaterial production. This relationship is
all the more surprising because we did not control for population size. In principle, we should
expect larger populations to produce more immaterial production. For example, we should
predict that the immaterial production of the Greek world during the Hellenistic and Roman
periods (when more than 20 million people lived in a Greek-speaking area) is necessarily more
important than the immaterial production of the Greek world during the Classical period (when
about 5 million people lived in a Greek-speaking area). But this is not the case. This suggests
that immaterial production is not driven by the size of the economy (GDP), but by the
productivity of individuals (GDP per capita).</p>
      <p>
        The one surprising result we observe is the fact that, in the Latin world, economic decline
seems to begin very early, as early as the 昀椀rst century BC, and not later, during the 昀椀rst
century CE [5] or at the end of the Nerva-Antonine dynasty [
        <xref ref-type="bibr" rid="ref47">48, 40</xref>
        ]. There are several ways to
interpret these results. The 昀椀rst is that our data are biased towards the 昀椀rst century BC. Indeed,
this period corresponds to the golden age of Latin literature (e.g. Cicero, Julius Cesar, Virgil,
Ovid). Our index could be biased by the fact that these authors were canonized by subsequent
generations, notably during the medieval period. Because works by non-canonized authors
were less likely to be preserved, we might have an important bias in favor of the golden age of
Latin literature.
      </p>
      <p>
        This explanation, however, is not really an explanation at all. It does not explain why the
authors of the golden age were canonized. In particular, it does not explain why Latin culture
was unable to demonstrate an equivalent or higher level of cultural dynamism in subsequent
periods producing authors that later generations would have wanted to include in the canon.
Indeed, there’s nothing deterministic about literary canonization or the emergence of
“classical” periods in literary history For instance, Japanese literature experienced a 昀椀rst golden
age during the Heian period (794 to 1185), which saw the emergence of some great classics
(e.g. The tale of Gengi) [23, 24, 25]. However, Japanese literature subsequently experienced
other periods of cultural dynamism, such as the Edo period (e.g. Ihara Saikaku, Matsuo Bashō,
Chikamatsu Monzaemon). Similarly, French literature experienced several periods of cultural
dynamism, such as the 12th century (e.g. Chrétien de Troye), the 16th century (e.g. Rabelais),
during which French asserted itself as a literary language [
        <xref ref-type="bibr" rid="ref50">51</xref>
        ]). However, canonized authors
(Chrétien de Troye, Rabelais) did not prevent the emergence and canonization of other authors
(Victor Hugo, Balzac, etc.).
      </p>
      <p>Thus, it may be the case that economic development peaked in Rome in the 1st century
BC. In fact, the proxies o昀琀en used to explain economic development (number of shipwrecks,
quantity of money) probably re昀氀ect more economic production at the global level than at the
individual level. For example, it is possible that the peak of Roman GDP occurred in the 1st
or 2nd century AD, but that the peak of GDP per capita occurred earlier, during the conquest
of the Roman Republic. Future studies should look more closely at the relationship between
material and immaterial production.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Data and Related code</title>
      <p>GitHub Project: Cultura Project</p>
      <p>W. Jongman. “Re-constructing the Roman economy”. In:The Cambridge History of
Capitalism, vol 1. Cambridge University Press, 2014, pp. 75–100.
[21] V. Kaše and T. Glomb. “A昀툀uence, agricultural productivity, and the rise of moralizing
religion in the ancient Mediterranean”. In:Religion, Brain &amp; Behavior 13.2 (2023), pp. 202–
206.
[22] V. Kaše, P. Heřmánková, and A. Sobotková. “Division of labor, specialization and
diversity in the ancient Roman cities: A quantitative approach to Latin epigraphy”. In:Plos
one 17.6 (2022), e0269869.
[23] S. Kato and D. Chibbett. A History of Japanese Literature: The 昀椀rst thousand years .</p>
      <p>Springer, 1979.
[24]
[25]
[26]</p>
      <p>D. Keene. Seeds in the heart: Japanese literature from earliest times to the late sixteenth
century. Columbia University Press, 1999.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>N.</given-names>
            <surname>Baumard</surname>
          </string-name>
          ,
          <string-name>
            <given-names>E.</given-names>
            <surname>Huillery</surname>
          </string-name>
          , A. Hya昀椀l, and
          <string-name>
            <surname>L. Safra. “</surname>
          </string-name>
          <article-title>The cultural evolution of love in literary history”</article-title>
          .
          <source>In: Nature Human Behaviour 6.4</source>
          (
          <issue>2022</issue>
          ), pp.
          <fpage>506</fpage>
          -
          <lpage>522</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>J.</given-names>
            <surname>Bolt</surname>
          </string-name>
          and
          <string-name>
            <surname>J. L. Van Zanden. “</surname>
          </string-name>
          <article-title>Maddison style estimates of the evolution of the world economy. A new 2020 update”</article-title>
          .
          <source>In:Maddison-Project Working Paper WP-15</source>
          , University of Groningen, Groningen, The
          <string-name>
            <surname>Netherlands</surname>
          </string-name>
          (
          <year>2020</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <given-names>J.</given-names>
            <surname>Bolt</surname>
          </string-name>
          and
          <string-name>
            <surname>J. L. Van Zanden. “</surname>
          </string-name>
          <article-title>The m addison p roject: collaborative research on historical national accounts”</article-title>
          .
          <source>In: The Economic history review 67.3</source>
          (
          <issue>2014</issue>
          ), pp.
          <fpage>627</fpage>
          -
          <lpage>651</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          <source>[4] [5] [6]</source>
          [7]
          <string-name>
            <given-names>M.</given-names>
            <surname>Bosker</surname>
          </string-name>
          , E. Buringh, and
          <string-name>
            <surname>J. L. Van Zanden. “</surname>
          </string-name>
          <article-title>From baghdad to london: Unraveling urban development in europe, the middle east</article-title>
          , and north africa,
          <fpage>800</fpage>
          -
          <lpage>1800</lpage>
          ”.
          <source>InR:eview of Economics and Statistics 95.4</source>
          (
          <issue>2013</issue>
          ), pp.
          <fpage>1418</fpage>
          -
          <lpage>1437</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          <string-name>
            <given-names>A.</given-names>
            <surname>Bowman</surname>
          </string-name>
          and
          <string-name>
            <given-names>A.</given-names>
            <surname>Wilson</surname>
          </string-name>
          .
          <article-title>Quantifying the Roman economy: methods and problems</article-title>
          . Vol.
          <volume>1</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          Oxford University Press, USA,
          <year>2009</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          <string-name>
            <given-names>A.</given-names>
            <surname>Bowman</surname>
          </string-name>
          and
          <string-name>
            <given-names>A.</given-names>
            <surname>Wilson</surname>
          </string-name>
          .Settlement, urbanization, and
          <article-title>population</article-title>
          . Vol.
          <volume>2</volume>
          . Oxford University Press, USA,
          <year>2011</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          <string-name>
            <given-names>A. K.</given-names>
            <surname>Bowman</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.</given-names>
            <surname>Garnsey</surname>
          </string-name>
          , and
          <string-name>
            <given-names>D.</given-names>
            <surname>Rathbone</surname>
          </string-name>
          . The Cambridge ancient history. Vol.
          <volume>11</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          Cambridge University Press,
          <year>1982</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>E.</given-names>
            <surname>Buringh</surname>
          </string-name>
          and
          <string-name>
            <surname>J. L. Van Zanden. “</surname>
          </string-name>
          <article-title>Charting the “Rise of the West”: Manuscripts and Printed Books in Europe, a long-term Perspective from the Sixth through Eighteenth Centuries”</article-title>
          .
          <source>In: The Journal of Economic History 69.2</source>
          (
          <issue>2009</issue>
          ), pp.
          <fpage>409</fpage>
          -
          <lpage>445</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [9]
          <string-name>
            <surname>E. Chaney.</surname>
          </string-name>
          “
          <article-title>Medieval origins: A review essay on Campbell's The Great Transition”</article-title>
          .
          <source>In: Journal of Economic Literature 56.2</source>
          (
          <issue>2018</issue>
          ), pp.
          <fpage>643</fpage>
          -
          <lpage>656</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation>
          [10]
          <string-name>
            <surname>B. de Courson</surname>
            ,
            <given-names>V.</given-names>
          </string-name>
          <string-name>
            <surname>Thouzeau</surname>
            , and
            <given-names>N.</given-names>
          </string-name>
          <string-name>
            <surname>Baumard</surname>
          </string-name>
          . “
          <article-title>Quantifying the scienti昀椀c revolution”</article-title>
          .
          <source>In: Evolutionary Human Sciences</source>
          <volume>5</volume>
          (
          <year>2023</year>
          ),
          <year>e19</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation>
          [11]
          <string-name>
            <surname>F. De Callataÿ</surname>
          </string-name>
          . “
          <article-title>The Graeco-Roman economy in the super long-run: lead, copper, and shipwrecks”</article-title>
          .
          <source>In: Journal of Roman Archaeology</source>
          <volume>18</volume>
          (
          <year>2005</year>
          ), pp.
          <fpage>361</fpage>
          -
          <lpage>372</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation>
          [12]
          <string-name>
            <given-names>J.</given-names>
            <surname>Diamond</surname>
          </string-name>
          . “
          <article-title>Guns”</article-title>
          .
          <source>In:Germs and Steel: The Fates of Human Societies, Vintage</source>
          <volume>186</volume>
          (
          <year>1997</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation>
          [13]
          <string-name>
            <given-names>R.</given-names>
            <surname>Fouquet</surname>
          </string-name>
          and
          <string-name>
            <given-names>S.</given-names>
            <surname>Broadberry</surname>
          </string-name>
          . “
          <article-title>Seven centuries of European economic growth and decline”</article-title>
          .
          <source>In: Journal of Economic Perspectives 29.4</source>
          (
          <issue>2015</issue>
          ), pp.
          <fpage>227</fpage>
          -
          <lpage>244</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation>
          [14]
          <string-name>
            <surname>G. Genette.</surname>
          </string-name>
          <article-title>The work of art</article-title>
          . Vol.
          <volume>1</volume>
          . Cornell University Press,
          <year>1997</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation>
          [15]
          <string-name>
            <given-names>T.</given-names>
            <surname>Glomb</surname>
          </string-name>
          ,
          <string-name>
            <given-names>V.</given-names>
            <surname>Kaše</surname>
          </string-name>
          , and
          <string-name>
            <given-names>V.</given-names>
            <surname>Zavřel</surname>
          </string-name>
          . “
          <article-title>Iconographic Trends in Roman Imperial Coinage in the Context of Societal Changes in the Second and Third Centuries CE: A Small-Scale Test of the A昀툀uence Hypothesis”</article-title>
          .
          <source>In: Open Archaeology 9.1</source>
          (
          <issue>2023</issue>
          ), p.
          <fpage>20220308</fpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation>
          [16] [17]
          <string-name>
            <given-names>N.</given-names>
            <surname>Goodman</surname>
          </string-name>
          . “
          <article-title>Languages of art”</article-title>
          .
          <source>In:Lexikon Schri昀琀en über Musik</source>
          . Springer,
          <year>2022</year>
          , pp.
          <fpage>293</fpage>
          -
          <lpage>376</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation>
          University of Missouri Press,
          <year>2006</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation>
          [18]
          <string-name>
            <given-names>K.</given-names>
            <surname>Harper</surname>
          </string-name>
          . “
          <article-title>People, plagues, and prices in the Roman world: the evidence from Egypt”</article-title>
          .
          <source>In: The Journal of Economic History 76.3</source>
          (
          <issue>2016</issue>
          ), pp.
          <fpage>803</fpage>
          -
          <lpage>839</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation>
          [19]
          <string-name>
            <given-names>K.</given-names>
            <surname>Jireček</surname>
          </string-name>
          .
          <source>Geschichte der Serben: Bd.(Bis 1371)</source>
          . Vol.
          <volume>38</volume>
          . FA Perthes,
          <year>1911</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref22">
        <mixed-citation>
          <string-name>
            <given-names>D.</given-names>
            <surname>Keene</surname>
          </string-name>
          .
          <article-title>World within walls: Japanese literature of the pre-modern era</article-title>
          ,
          <fpage>1600</fpage>
          -
          <lpage>1867</lpage>
          . Vol.
          <volume>1</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref23">
        <mixed-citation>
          Columbia University Press,
          <year>1999</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref24">
        <mixed-citation>
          <string-name>
            <surname>Sawyer</surname>
            ,
            <given-names>R.</given-names>
          </string-name>
          <string-name>
            <surname>Sleiderink</surname>
          </string-name>
          ,
          <article-title>and</article-title>
          <string-name>
            <given-names>A.</given-names>
            <surname>Chao</surname>
          </string-name>
          . “
          <article-title>Forgotten books: The application of unseen species models to the survival of culture”</article-title>
          .
          <source>In:Science 375.6582</source>
          (
          <year>2022</year>
          ), pp.
          <fpage>765</fpage>
          -
          <lpage>769</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref25">
        <mixed-citation>
          [27]
          <string-name>
            <given-names>D. A.</given-names>
            <surname>King</surname>
          </string-name>
          . “
          <article-title>The scienti昀椀c impact of nations”</article-title>
          .
          <source>In: Nature</source>
          <volume>430</volume>
          .6997 (
          <year>2004</year>
          ), pp.
          <fpage>311</fpage>
          -
          <lpage>316</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref26">
        <mixed-citation>
          [28]
          <string-name>
            <surname>B. van Leeuwen and I. J. L. van Zanden</surname>
          </string-name>
          . Urbanization in China, ca.
          <fpage>1100</fpage>
          -
          <lpage>1900</lpage>
          . Tech. rep.
          <year>2015</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref27">
        <mixed-citation>
          [29]
          <string-name>
            <given-names>A.</given-names>
            <surname>Maddison</surname>
          </string-name>
          .
          <article-title>Contours of the world economy 1-2030 AD: Essays in macro-economic history</article-title>
          .
        </mixed-citation>
      </ref>
      <ref id="ref28">
        <mixed-citation>
          <source>OUP Oxford</source>
          ,
          <year>2007</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref29">
        <mixed-citation>
          [30]
          <string-name>
            <given-names>R. M.</given-names>
            <surname>May</surname>
          </string-name>
          . “
          <article-title>The scienti昀椀c wealth of nations”</article-title>
          .
          <source>In: Science 275.5301</source>
          (
          <year>1997</year>
          ), pp.
          <fpage>793</fpage>
          -
          <lpage>796</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref30">
        <mixed-citation>
          [31]
          <string-name>
            <given-names>J. R.</given-names>
            <surname>McConnell</surname>
          </string-name>
          ,
          <string-name>
            <surname>A. I. Wilson</surname>
          </string-name>
          ,
          <string-name>
            <given-names>A.</given-names>
            <surname>Stohl</surname>
          </string-name>
          ,
          <string-name>
            <surname>M. M. Arienzo</surname>
            ,
            <given-names>N. J.</given-names>
          </string-name>
          <string-name>
            <surname>Chellman</surname>
            ,
            <given-names>S.</given-names>
          </string-name>
          <string-name>
            <surname>Eckhardt</surname>
            ,
            <given-names>E. M.</given-names>
          </string-name>
          <string-name>
            <surname>Thompson</surname>
            ,
            <given-names>A. M.</given-names>
          </string-name>
          <string-name>
            <surname>Pollard</surname>
            , and
            <given-names>J. P. Ste昀ensen.</given-names>
          </string-name>
          “
          <article-title>Lead pollution recorded in Greenland ice indicates European emissions tracked plagues, wars, and imperial expansion during antiquity”</article-title>
          .
          <source>In: Proceedings of the National Academy of Sciences 115.22</source>
          (
          <year>2018</year>
          ), pp.
          <fpage>5726</fpage>
          -
          <lpage>5731</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref31">
        <mixed-citation>
          [32]
          <string-name>
            <given-names>C.</given-names>
            <surname>McEvedy</surname>
          </string-name>
          and
          <string-name>
            <given-names>R.</given-names>
            <surname>Jones</surname>
          </string-name>
          . Atlas of world population history.
          <source>Penguin Books Ltd</source>
          , Harmondsworth, Middlesex, England.,
          <year>1978</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref32">
        <mixed-citation>
          [33]
          <string-name>
            <given-names>L.</given-names>
            <surname>Miao</surname>
          </string-name>
          ,
          <string-name>
            <given-names>D.</given-names>
            <surname>Murray</surname>
          </string-name>
          ,
          <string-name>
            <given-names>W.-S.</given-names>
            <surname>Jung</surname>
          </string-name>
          ,
          <string-name>
            <given-names>V.</given-names>
            <surname>Larivière</surname>
          </string-name>
          ,
          <string-name>
            <given-names>C. R.</given-names>
            <surname>Sugimoto</surname>
          </string-name>
          , and
          <string-name>
            <given-names>Y.-Y.</given-names>
            <surname>Ahn</surname>
          </string-name>
          .
          <article-title>The latent structure of global scienti昀椀c development</article-title>
          .
          <year>2022</year>
          . doi:
          <volume>10</volume>
          .48550/arXiv.2104.10812.
        </mixed-citation>
      </ref>
      <ref id="ref33">
        <mixed-citation>
          [34]
          <string-name>
            <given-names>B.</given-names>
            <surname>Milanovic</surname>
          </string-name>
          .
          <article-title>Global inequality: A new approach for the age of globalization</article-title>
          . Harvard University Press,
          <year>2016</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref34">
        <mixed-citation>
          [35]
          <string-name>
            <surname>I. Morris. “</surname>
          </string-name>
          <article-title>The growth of Greek cities in the 昀椀rst millennium BC”</article-title>
          . In: Urbanism in the Preindustrial World:
          <string-name>
            <surname>Cross-Cultural Approaches</surname>
          </string-name>
          (
          <year>2006</year>
          ), pp.
          <fpage>27</fpage>
          -
          <lpage>51</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref35">
        <mixed-citation>
          [36]
          <string-name>
            <surname>I. Morris.</surname>
          </string-name>
          <article-title>The measure of civilization: how social development decides the fate of nations</article-title>
          . Princeton University Press,
          <year>2013</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref36">
        <mixed-citation>
          [37]
          <string-name>
            <given-names>I.</given-names>
            <surname>Morris</surname>
          </string-name>
          .
          <article-title>Why the west rules-for now: The patterns of history and what they reveal about the future</article-title>
          .
          <source>Pro昀椀le books</source>
          ,
          <year>2010</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref37">
        <mixed-citation>
          [38]
          <string-name>
            <given-names>J.</given-names>
            <surname>Ober</surname>
          </string-name>
          .
          <article-title>The rise and fall of classical Greece</article-title>
          . Princeton University Press,
          <year>2015</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref38">
        <mixed-citation>
          [39] [40] [41] [42]
          <string-name>
            <given-names>A. J.</given-names>
            <surname>Parker</surname>
          </string-name>
          . “
          <article-title>Ancient shipwrecks of the Mediterranean and the Roman provinces”</article-title>
          . In: (
          <year>1992</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref39">
        <mixed-citation>
          <string-name>
            <given-names>W.</given-names>
            <surname>Scheidel</surname>
          </string-name>
          . “
          <article-title>In search of Roman economic growth”</article-title>
          .
          <source>In:Journal of Roman Archaeology</source>
          <volume>22</volume>
          (
          <year>2009</year>
          ), pp.
          <fpage>46</fpage>
          -
          <lpage>70</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref40">
        <mixed-citation>
          <string-name>
            <given-names>W.</given-names>
            <surname>Scheidel</surname>
          </string-name>
          and
          <string-name>
            <given-names>S. J.</given-names>
            <surname>Friesen</surname>
          </string-name>
          . “
          <article-title>The Size of the Economy and the Distribution of Income in the Roman Empire”</article-title>
          .
          <source>In: The Journal of Roman Studies</source>
          <volume>99</volume>
          (
          <year>2009</year>
          ), pp.
          <fpage>61</fpage>
          -
          <lpage>91</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref41">
        <mixed-citation>
          <string-name>
            <given-names>W.</given-names>
            <surname>Scheidel</surname>
          </string-name>
          ,
          <string-name>
            <surname>I. Morris</surname>
          </string-name>
          , and
          <string-name>
            <given-names>R. P.</given-names>
            <surname>Saller</surname>
          </string-name>
          .
          <article-title>The Cambridge economic history of the GrecoRoman world</article-title>
          . Cambridge University Press Cambridge,
          <year>2007</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref42">
        <mixed-citation>
          [43]
          <string-name>
            <given-names>P.</given-names>
            <surname>Temin</surname>
          </string-name>
          .
          <article-title>The Roman market economy</article-title>
          . Princeton University Press,
          <year>2012</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref43">
        <mixed-citation>
          [44]
          <string-name>
            <given-names>T.</given-names>
            <surname>Thun</surname>
          </string-name>
          and
          <string-name>
            <given-names>H.</given-names>
            <surname>Svarva</surname>
          </string-name>
          . “
          <article-title>Tree-ring growth shows that the signi昀椀cant population decline in Norway began decades before the Black Death”</article-title>
          .
          <source>In:Dendrochronologia</source>
          <volume>47</volume>
          (
          <year>2018</year>
          ), pp.
          <fpage>23</fpage>
          -
          <lpage>29</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref44">
        <mixed-citation>
          [45]
          <string-name>
            <given-names>B.</given-names>
            <surname>Tillett</surname>
          </string-name>
          . “
          <article-title>Keeping Libraries Relevant in the Semantic Web with RDA: Resource Description and Access”</article-title>
          .
          <source>In:Serials: The Journal for the Serials Community</source>
          <volume>24</volume>
          (
          <year>2011</year>
          ), pp.
          <fpage>266</fpage>
          -
          <lpage>272</lpage>
          . doi:
          <volume>10</volume>
          .1629/24266.
        </mixed-citation>
      </ref>
      <ref id="ref45">
        <mixed-citation>
          [46]
          <string-name>
            <given-names>B.</given-names>
            <surname>Van Bavel</surname>
          </string-name>
          ,
          <string-name>
            <given-names>E.</given-names>
            <surname>Buringh</surname>
          </string-name>
          , and
          <string-name>
            <given-names>J.</given-names>
            <surname>Dijkman</surname>
          </string-name>
          . “
          <article-title>Mills, cranes, and the great divergence: the use of immovable capital goods in western Europe and the Middle East, ninth to sixteenth centuries”</article-title>
          .
          <source>In: The Economic History Review 71.1</source>
          (
          <issue>2018</issue>
          ), pp.
          <fpage>31</fpage>
          -
          <lpage>54</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref46">
        <mixed-citation>
          [47]
          <string-name>
            <given-names>D.</given-names>
            <surname>Vrandečić</surname>
          </string-name>
          and
          <string-name>
            <given-names>M.</given-names>
            <surname>Krötzsch</surname>
          </string-name>
          . “
          <article-title>Wikidata: a free collaborative knowledgebase”</article-title>
          .
          <source>InC:ommunications of the ACM 57.10</source>
          (
          <year>2014</year>
          ), pp.
          <fpage>78</fpage>
          -
          <lpage>85</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref47">
        <mixed-citation>
          [48]
          <string-name>
            <given-names>B.</given-names>
            <surname>Ward-Perkins</surname>
          </string-name>
          .
          <article-title>The fall of Rome: and the end of civilization</article-title>
          . Oxford University Press, USA,
          <year>2006</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref48">
        <mixed-citation>
          [49]
          <string-name>
            <given-names>A.</given-names>
            <surname>Wilson</surname>
          </string-name>
          . “
          <article-title>Approaches to quantifying Roman trade”</article-title>
          . In:
          <article-title>Quantifying the Roman economy: methods and problems (</article-title>
          <year>2009</year>
          ), pp.
          <fpage>213</fpage>
          -
          <lpage>49</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref49">
        <mixed-citation>
          [50]
          <string-name>
            <given-names>T.</given-names>
            <surname>Xu</surname>
          </string-name>
          . “
          <article-title>The Production and Circulation of Manuscripts</article-title>
          and Printed Books in China Compared to Europe, ca.
          <fpage>581</fpage>
          -
          <lpage>1840</lpage>
          ”.
          <source>In:Europe</source>
          <volume>581</volume>
          (
          <year>2017</year>
          ).
        </mixed-citation>
      </ref>
      <ref id="ref50">
        <mixed-citation>
          [51]
          <string-name>
            <given-names>M.</given-names>
            <surname>Zink</surname>
          </string-name>
          . “
          <article-title>Le moyen age: littérature française”</article-title>
          .
          <source>In:(No Title)</source>
          (
          <year>1990</year>
          ).
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>