Life Quality Index

A calibrated welfare index combining life expectancy with purchasing-power-adjusted income under a time-allocation elasticity parameter.

Version

v1 · 2026-09-08 · History

Domain-specific #

5321

Origin domain

welfare economics and risk policy

Subdomain

welfare economics and risk policy

Core Idea

The LQI expresses social welfare as a multiplicative function of expected lifetime and real income per person, with an exponent reflecting the share of time allocated to work and consumption. Economic calibration converts income, longevity, and time allocation into one objective function; marginal changes support comparisons of life-safety expenditure under the model's ethical and statistical assumptions. The abstraction is therefore identified by a declared carrier, a transformation or constraint over that carrier, and an invariant that tells an analyst whether the named structure is genuinely present.

Scope of Application

Life Quality Index belongs to welfare economics and risk policy and is useful where the analyst can specify the typed welfare economics and risk policy carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, then evaluate the exact LQI functional form, income and life-expectancy sources, purchasing-power convention, calibration parameter, population, baseline, and normative use are explicit. The scope is broad within that domain but bounded by the need for the exact LQI functional form, income and life-expectancy sources, purchasing-power convention, calibration parameter, population, baseline, and normative use are explicit. Descriptive welfare-index identity only; it is not a recommendation for valuing individual lives or making legal, insurance, safety, or public-policy decisions.

Clarity

The abstraction clarifies a crowded vocabulary by making the exact LQI functional form, income and life-expectancy sources, purchasing-power convention, calibration parameter, population, baseline, and normative use are explicit the center of the account. A claim should name the carrier, the governing operation or relation, the applicable assumptions, and the recognition test. A bare label is insufficient because the name Life Quality Index can be used for a formal identity, an implementation, or a neighboring result unless carrier and convention are stated.

Manages Complexity

Without the abstraction, an analyst must reason directly over many local details: the carrier roles, admissibility assumptions, competing conventions, derived invariants, boundary cases, and proof or validation obligations specific to Life Quality Index. Life Quality Index compresses them into the roles in the structural signature. That compression permits comparison across instances without erasing the variables that determine validity. It also exposes which details may be varied safely and which are constitutive.

Abstract Reasoning

1. Identify the carrier. State what the elements, states, objects, or observations are: the typed welfare economics and risk policy carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets. Reject examples whose alleged carrier belongs to a different problem. 2. Lock the constitutive rule. Express the exact LQI functional form, income and life-expectancy sources, purchasing-power convention, calibration parameter, population, baseline, and normative use are explicit independently of one notation or implementation.

Knowledge Transfer

Knowledge transfers strongly among subfields of welfare economics and risk policy because they reuse the typed welfare economics and risk policy carrier, defining objects and relations, parameters, conventions, evidence, boundary cases, and comparison targets, Economic calibration converts income, longevity, and time allocation into one objective function; marginal changes support comparisons of life-safety expenditure under the model's ethical and statistical assumptions., and type the carrier, state every parameter and convention in the definition, test that the exact LQI functional form, income and life-expectancy sources, purchasing-power convention, calibration parameter, population, baseline, and normative use are explicit, compare the nearest accepted identity, and report counterexamples, uncertainty, and limiting cases.

Relationships to Other Abstractions

Current abstraction Life Quality Index Domain-specific

Parents (1) — more general patterns this builds on

• Life Quality Index is a kind of Aggregation Prime

  The proposed strict upward parent is prime:aggregation.

Hierarchy path (1) — routes to 1 parentless root

• Life Quality Index → Aggregation → Micro Macro Linkage

Neighborhood in Abstraction Space

Life Quality Index sits in a moderately populated region (56^th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.

Family — Population Aging & Intergenerational Welfare (10 abstractions)

Nearest neighbors

• Compensation principle — 0.88
• Willingness to pay — 0.88
• Qualitative comparative analysis — 0.88
• Atkinson index — 0.87
• Old-age-security hypothesis — 0.86

Computed from structural-signature embeddings · 2026-09-08