--- title: "Mathematical Modeling of the Impact of Artificial Intelligence on the Labor Market and Demographics · AI Fault Line" url: https://aifaultline.com/research/p/doi-10-5281-zenodo-20433889/ description: "AI Fault Line is a neutral, evidence-cited field guide to why experts looking at the same developments disagree about AI's effect on productivity, jobs, inequality, regulation and the pace of change." --- [Research](https://aifaultline.com/research/) # Mathematical Modeling of the Impact of Artificial Intelligence on the Labor Market and Demographics JOSE ANGEL MARTIN CARBALLO · Zenodo (CERN European Organization for Nuclear Research) · 21 May 2026 [Read original source](https://doi.org/10.5281/zenodo.20433889) Open access Where this sits in the debate - [Will AI destroy more jobs than it creates?](https://aifaultline.com/debate/jobs/) Direction of the finding as read from the abstract by an AI model ([AI-written](https://aifaultline.com/about/)). ## Key takeaway [AI-written](https://aifaultline.com/about/) A preliminary mathematical model of how AI-accelerated automation interacts with growth of the working-age population, used to estimate the time a theoretical economy would take to reach a social-crisis threshold of structural unemployment. ## Abstract This document presents a preliminary mathematical framework to evaluate the interaction between Artificial Intelligence (AI) accelerated automation and demographic growth trends within the active population. The objective is to determine the critical time (t_crit) it would take for a theoretical economy to reach a social crisis threshold due to structural unemployment generated by the mismatch between labor supply and demand. ## About this publication **Preprint.** A preprint — posted publicly before or without journal peer review; findings may still be revised. Published 2026 (5 months ago) Citations 0 (OpenAlex) 0 citations recorded by OpenAlex — too few 2026 papers in this collection for a fair comparison. [Chart: published 2026] ## More on this topic Related by theme, not necessarily by method or conclusion. - [The Effects of Generative AI on High Skilled Work: Evidence from Three Field Experiments with Software Developers](https://aifaultline.com/research/p/doi-10-2139-ssrn-4945566/) SSRN · 2024 - [GPTs are GPTs: An Early Look at the Labor Market Impact Potential of Large Language Models](https://aifaultline.com/research/p/doi-10-48550-arxiv-2303-10130/) arXiv · 2023 - [Experimental evidence on the productivity effects of generative artificial intelligence](https://aifaultline.com/research/p/doi-10-1126-science-adh2586/) Science · 2023 - [The simple macroeconomics of AI](https://aifaultline.com/research/p/doi-10-1093-epolic-eiae042/) Economic Policy · 2024 Overview assembled automatically from collected metadata. [How this site is built](https://aifaultline.com/about/).