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α: calibrated so average coauthorship-adjusted count equals average raw count
Previous studies explain the extension of royal power in fifteenth-century France by the professionalization of military combat or by the commercialization of economic activity. Neither approach can account for the turnaround in Charles VII's fortunes between 1435 and 1445. Using Lösch's model of spatial competition to examine the determinants of state borders, we suggest that the key factor in the formation of the French hexagon was an innovation in artillery projectiles that increased military scale economies. A reduction in state economic intervention apparently accompanied this development rather than the increase suggested elsewhere.