Systemic Capacity Constraints in Fourth Dynasty Monument Construction: A Quantitative Stress Test of the Orthodox Model

This paper forms part of a structured preprint series examining Old Kingdom pyramid construction through constraint-based modelling. The series integrates a core evaluation framework (CBEF) with multiple applied studies to test the internal consistency of orthodox parameters when modelled as an interacting system. This paper applies aggregate resource and logistics modelling to the full Fourth Dynasty monument construction programme (c. 2613–2494 BCE), treating it as a continuous multi-generational project rather than a series of isolated builds. Using orthodox chronological and archaeological data throughout, it constructs a bounded stress test of programme feasibility across labour, provisioning, transport, raw materials, and environmental variability. The aggregate stone throughput implied by orthodox attribution — inclusive of pyramids, mastaba fields, valley temples, causeways, and support infrastructure — approaches 22–23 million tonnes across approximately 120 years. When modelled against the estimated carrying capacity of Old Kingdom Egypt across conservative, central, and high demand scenarios, the programme is found to have operated at or near systemic capacity for the majority of its duration. The copper supply chain is identified as a potentially binding constraint that has received insufficient analytical attention. Nile flood variability, confirmed by palaeoclimatological and sediment core evidence, imposed periodic provisioning stress on a system with no documented strategic reserve infrastructure. The paper introduces the Accumulated Deficit Hypothesis: that sustained construction demand progressively reduced Egypt’s adaptive reserve capacity across the later Old Kingdom, contributing to the state’s vulnerability to the environmental and political shocks associated with the First Intermediate Period collapse. This hypothesis is presented as a formally stated research question rather than a conclusion. The results neither confirm nor refute the orthodox model in its entirety — they reveal it to be undertested. Where the numbers hold under all three scenarios, the orthodox position is strengthened. Where they fail under central or conservative assumptions, serious questions remain. The paper formally poses six research questions that the orthodox model has not addressed, and identifies the empirical work required to answer them. Keywords: Fourth Dynasty, pyramid construction, Old Kingdom, feasibility analysis, systemic stress testing, Nile flood variability, First Intermediate Period, Accumulated Deficit Hypothesis, copper supply, project management