• group-levelTitanium: reserves and deposits tracked at the ore stage - USGS estimates reserves for titanium at the ore stage, not the refined metal - the metal is smelted and refined from ore feedstock. strata carries the reserves and deposit occurrences under the `titanium_mineral_concentrates` commodity (titanium mineral concentrates). The empty reserves and deposits sections reflect that commodity boundary, not missing strata coverage.
• datedMaterial-flow analysis is historical - All 4 material-flow records date to 2000 or earlier (Yale STAF era). They describe the anthropogenic cycle of that period, not today's system.
• datedExport-restriction inventory ends 2020 - The OECD industrial-raw-materials inventory (vendored snapshot) reports HS-line measures only through 2020; restrictions enacted since are not reflected in the measure table.
• narrowConsumption geography is single-economy (United States) - Reported consumption covers one economy only - the world usage split must be read from trade flows, not from a consumption table.

The eight-stage lens, the observed-vs-estimated membrane, stage-honest supply, per-stage concentration, ownership resolution and the demand lens - the full method is illustrated live on copper, nickel and lithium.

Read the methodology, illustrated live →