quantitative methods

quantitative methods

Mathematical Methods and Research as a Community

The famous ancient historian Walter Scheidel has reviewed a book on mathematical models of the economy of the Roman empire.

The current system of academic training, recruitment and promotion is not well equipped to recognize work that is routinely collaborative, may result in electronic outputs rather than traditional deliverables, and is not overtly focused on the monograph as the basic coin of the realm. All that makes it hard to reconcile with norms and expectations that are deeply entrenched in the academic humanities, most notably in the United States where institutionalized individualism and fetishization of the little-read book rule supreme. Academic incentive structures will need to be tweaked in favor of collaborative and non-traditional work to give simulation studies a chance to flourish.

Some of my gentle readers may not know that in ancient world studies we have a situation where to make a bibliography count for academic promotion, we have to print a few hundred copies and sell them to libraries where they collect dust while researchers check the website with PDFs or a searchable database. Rachel Mairs’ Hellenistic Far East Bibliography faces this barrier, so does the ETCSL. And peer-reviewed publications in ancient history and philology are still expected to be written by one or two authors, whereas in natural science there are often a dozen or more authors who contribute different specialized skills (perhaps one performs a chemical test, another writes the software, a third does most of the writing, and a fourth manages the project). But I see a big problem with pushing to focus on understanding the ancient world through mathematical models.

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Ghost Soldiers

Since early in the occupations of Iraq and Afghanistan, critics have warned about ghost soldiers. A significant part of the payroll of the old Iraqi and Afghan armies was soldiers who had never existed, or had died or deserted, or were just collecting pay but had never expected to do anything dangerous for it (or never been trained to fight). This was an easy way for the people in charge of an army or navy to get rich. I talked about this timeless swindle in my first book, Armed Force in the Teispid-Achaemenid Empire:

The temple archives imply that some officials abused their positions to enrich themselves or hurt their enemies: the notorious Gimillu, a lowly širku of Ištar at Uruk, is a famous example. Matthew Stolper has collected a series of tablets where officials complain that they do not have a full allotment of supplies or workers, but are still expected to achieve the same amount of work, or that other officials have taken their workers and not replaced them. Even if Babylonians had distinguished between ‘civil’ and ‘military’ service, CT 22, 74 shows that officials also argued about who had jurisdiction over particular groups of soldiers. In Thucydides’ day, Greek observers worried that Tissaphernes might call a royal fleet into his satrapy in order to make money in exchange for release (ἐκχρηματίσαιτο ἀφείς 8.87.3). Xenophon’s Socrates also mentions bad garrison commanders who “neglect their commands or make money from them” and are punished by the king (Xen. Oec. 4.7 ἢ καταμελοῦντας τῶν φρουραρχιῶν ἢ κατακερδαίνοντας). Both writers’ Greek is vague and colloquial, but in other armies leaders have let soldiers return home in exchange for a fee or for keeping their salary, charged for exempting them from unpleasant duties, sold things and recorded them as lost in action, assigned soldiers to work which makes money for the commander, or embezzled money meant for pay and supplies. These scams are documented in the armies of the past 500 years, but also in Roman documents and literature, and it would be very unlikely that the Achaemenids managed to prevent all of their officials from abusing their position in these ways.

Manning, Armed Force in the Teispid-Achaemenid Empire: Past Approaches, Future Prospects (2021) pp. 201, 202
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Some Comments on Turner on Old World Iron

an outline map of Eurasia with coloured dates marked on it, all multiples of +100 or -100 except for the year 1
Map 1 from Turner 2020. “First acceleration in the use of iron across Afro-Eurasia … When iron becomes a material used for multiple object types … iron is used on a much greater scale 100 years after the proposed date and on a much smaller scale 100 years before the proposed date.”

Someone associated with the SESHAT project has taken Andre Costopoulos’ suggestion to focus on things which leave good archaeological evidence like metallurgy. They wrote a study of the spread and improvement of iron technology across the Old World. That is a topic that I am an expert on, so how does the paper hold up?

  • Turner, Edward A. L. (2020) “Anvil Age Economy: A Map of the Spread of Iron Metallurgy across Afro-Eurasia.” Cliodynamics 11.1 https://doi.org/10.21237/C7clio11145895

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Big Data in World History: Seshat vs. DRH

Ancient historians have been in the big open data business for almost 200 years, with Mommsen’s establishment of the Corpus Inscriptionum Latinarum to publish all surviving ancient Latin inscriptions in 1853. Right now there are two competing projects to create an encyclopedia of quantitative data on world religious history which could be subjected to statistical tests: the Database of Religious History at UBC, and Peter Turchin’s Seshat project in the USA. Turchin belongs to a Russian tradition of social scientists such as Andrey Vitalievich Korotayev who want to find predictive, mathematical laws of history, often in the forms of cycles. A recent paper based on Seshat data has provoked not one but two responses only six weeks after publication.

  • Harvey Whitehouse et al., “Complex Societies Precede Moralizing Gods Throughout World History,” Nature 568 (20 March 2019) pp. 226-229 https://doi.org/10.1038/s41586-019-1043-4
  • Edward Slingerland et al., “Historians Respond to Whitehouse et al. (2019), ‘Complex Societies Precede Moralizing Gods Throughout World History'”, PsyArXiv Preprints, 2 May 2019 https://doi.org/10.31234/osf.io/2amjz
  • Bret Beheim, Quentin Atkinson (yes, that Atkinson), et al., “Corrected analyses show that moralizing gods precede complex societies but serious data concerns remain,” PsyArXiv Preprints, 2 May 2019 https://doi.org/10.31234/osf.io/jwa2n
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