Application of Mathematical Models to English Secular Cycles

Secular cycles are 2-3 century oscillations in population associated with periodic state breakdown. Turchin and Nefedov (2009) find two secular cycles in England: the Plantagenet (1150–1485) and Tudor-Stuart (1485–1730). This paper proposes modified dating for these cycles (1070–1485 and 1485–1690)...

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Main Author: Michael Alexander
Format: Article
Language:English
Published: eScholarship Publishing, University of California 2016-06-01
Series:Cliodynamics
Subjects:
Online Access:http://escholarship.org/uc/item/230872k1
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author Michael Alexander
author_facet Michael Alexander
author_sort Michael Alexander
collection DOAJ
description Secular cycles are 2-3 century oscillations in population associated with periodic state breakdown. Turchin and Nefedov (2009) find two secular cycles in England: the Plantagenet (1150–1485) and Tudor-Stuart (1485–1730). This paper proposes modified dating for these cycles (1070–1485 and 1485–1690) and two adjacent cycles: Anglo-Saxon (ca. 880–1070) and mercantile (1690–undetermined). Several mathematical models for secular cycles were investigated for their ability to model trends in population, state strength, elite number and internal instability during the Plantagenet and Tudor-Stuart cycles with the modified dating. The demographic-fiscal model (Turchin 2003) uses just six adjustable parameters and gave as good a fit to the population data as a polynomial model with ten parameters. Sociopolitical instability has been proposed as the primary factor in delayed population recovery following secular decline. This did not seem to be the case for England, at least when instability was measured in terms of large-scale events. For such events the dominant pattern was the fathers and sons cycle, not the much longer secular cycle.
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spelling doaj.art-f460f8bb47e0408ca401ad3c061cf6c32022-12-22T03:38:15ZengeScholarship Publishing, University of CaliforniaCliodynamics2373-75302373-75302016-06-01717610810.21237/C7clio7128325Application of Mathematical Models to English Secular CyclesMichael Alexander0Pfizer CorporationSecular cycles are 2-3 century oscillations in population associated with periodic state breakdown. Turchin and Nefedov (2009) find two secular cycles in England: the Plantagenet (1150–1485) and Tudor-Stuart (1485–1730). This paper proposes modified dating for these cycles (1070–1485 and 1485–1690) and two adjacent cycles: Anglo-Saxon (ca. 880–1070) and mercantile (1690–undetermined). Several mathematical models for secular cycles were investigated for their ability to model trends in population, state strength, elite number and internal instability during the Plantagenet and Tudor-Stuart cycles with the modified dating. The demographic-fiscal model (Turchin 2003) uses just six adjustable parameters and gave as good a fit to the population data as a polynomial model with ten parameters. Sociopolitical instability has been proposed as the primary factor in delayed population recovery following secular decline. This did not seem to be the case for England, at least when instability was measured in terms of large-scale events. For such events the dominant pattern was the fathers and sons cycle, not the much longer secular cycle.http://escholarship.org/uc/item/230872k1Secular CyclesPopulationEconomic InequalityElitesMathematical ModelPricePolitical Instability
spellingShingle Michael Alexander
Application of Mathematical Models to English Secular Cycles
Cliodynamics
Secular Cycles
Population
Economic Inequality
Elites
Mathematical Model
Price
Political Instability
title Application of Mathematical Models to English Secular Cycles
title_full Application of Mathematical Models to English Secular Cycles
title_fullStr Application of Mathematical Models to English Secular Cycles
title_full_unstemmed Application of Mathematical Models to English Secular Cycles
title_short Application of Mathematical Models to English Secular Cycles
title_sort application of mathematical models to english secular cycles
topic Secular Cycles
Population
Economic Inequality
Elites
Mathematical Model
Price
Political Instability
url http://escholarship.org/uc/item/230872k1
work_keys_str_mv AT michaelalexander applicationofmathematicalmodelstoenglishsecularcycles