A Time-Budget Framework for Fertility and Structural Extraction

Lifetime is modeled as a finite and non-renewable resource constraint. This paper sketches a framework centered on national-level time allocation, where the individual time budget is allocated among survival, structural extraction, reproduction, and discretionary surplus. The structural extraction rate ($\eta$) represents the macroeconomic appropriation of individual time. When $\eta$ exceeds a critical threshold, reproductive time is compressed, leading to declining fertility and an endogenous demographic-extraction spiral.

The framework generates a set of testable implications regarding fertility decline, aggregate system vitality, and intergenerational fiscal sustainability. All parameters and functional forms are illustrative; numerical examples demonstrate logical consistency rather than precise predictions.

Note on Falsifiability: In all empirical tests, $\eta$ and aggregate vitality (P) must be identified using strictly independent, exogenous macroeconomic datasets.