What question did this study set out to answer?

This research aims to analyze demographic changes including fertility, mortality, and migration across several nations.

May 21, 2026Open Access

ITU Tier 1+ #41: Demographics (Kdemo)

Key Points

This research aims to analyze demographic changes including fertility, mortality, and migration across several nations.
Utilized Lee-Carter Monte Carlo simulations for demographic projections from 2024 to 2050.
Analyzed total fertility rates (TFR) against GDP per capita across 22 countries.
Incorporated historical models and demographic theories.
TFR and GDP per capita showed a significant logistic relationship with asymptotes ranging from 6.0 to 1.3.
Life expectancy projections indicate Japan's increase to 87.9 years and the USA's rise to 79.1 years by 2050.
Sub-replacement fertility was observed in 15 out of the 22 analyzed countries.

Abstract

Tier 1+ Pass-1. 5 paper 41 of 45. ITU-derived demographics on fertility + mortality + migration + age + population. Notestein demographic transition + Lee-Carter 1992 + Korea TFR 0. 72. Defines Kdemo = -log ρdemo as the operator-algebraic modular Hamiltonian on Hfertility ⊗ Hₘortality ⊗ Hₘigration ⊗ Hₐgeₛtructure ⊗ Hₚopulation. Kdemo inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Demographic transition TFR vs GDP/capita logistic 22 countries: asymptotes 6. 0->1. 3, midpoint GDP/cap 5141, sub-replacement (TFR87. 9 87. 2-88. 6 CI95, USA 77. 5->79. 1 78. 1-80. 1 CI95. Topics covered. Malthus 1798 + Quetelet + Verhulst 1838, Notestein 1945 4-stage demographic transition + Bongaarts 1978 proximate determinants, IHME Lancet 2020 peak 9. 7B 2064, UN WPP 2024. 7 peak 10. 3B 2084, Korea TFR 0. 72 (2023) + Q1 2024 0. 65 + Japan 1. 20 record + China 1. 0 + India 2. 0 + Nigeria 4. 6 + Niger 6. 6, India overtook China 2023. 4 1. 43B -> 1. 45B end-2024 + China 1. 41B -2M, Japan 29. 1% over-65 + births 730K vs deaths 1. 59M 2023, World Bank remittances 685B->700B + 281M migrants + Ukraine 6. 5M refugees + IDMC 26. 4M climate displaced, Lee-Carter 1992 JASA + Li-Lee 2005 + Case-Deaton 2015, China One-Child 1979-2015 + Sen 1990 100M missing women + SRB 117->109/100, Africa 1. 4B->2. 5B 2050->3. 9B 2100 + Nigeria 230M->540M 2100 + DRC 110M->200M + Ethiopia 130M->220M, COVID 7M official + 18-28M excess + India 4. 7M + Russia 2. 5M + USA 1. 4M + US e0 drop -2. 6yr, Acemoglu 2024 NBER AI 2-5% offset + Japan 631 robots/10K + Tesla Optimus 2025, US Census 2020 331M + LGBT+ Gallup 7. 6% Gen Z 22%. 45-vertex polytope #41 top couplings: #6 Aging (0. 95), #27 Microbiome (0. 85), #28 Neuro (0. 85), #7 Psych (0. 85), #5 Cancer (0. 85), #36 Edu (0. 85). Ten falsifiable predictions: Pₐvg=0. 67, S/M/W=3/5/2: Japan over-65 35% 2030 (0. 85), China pop <1. 0B 2080 (0. 80), World pop peak 10. 3B 2084 (0. 65), Korea TFR 0. 6 by 2026 (0. 70), India working-age peak 2045 (0. 70). Pass-2 roadmap: ~1. 6M: HMD+UN WPP+IHME analytics (500K) + Lean Mathlib Notestein+Bongaarts+Lee-Carter (200K) + aging society + migration policy + AI offset modeling (900K). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

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