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PERSEUS Forest Intelligence
Methods note · 2026-05-31

Hybrid in production + harvested wood products

The hybrid yield form is now fit in production per forest-type x ecoregion x owner cell across 48 states, and a harvested wood products (HWP) layer lets the management scenarios be compared on a forest + products carbon basis rather than standing stock alone.

PERSEUS yield-curve engine · scripts ycx_hybrid_fit.R, ycx_treemap_hybrid.R, ycx_hybrid_anchor.R, ycx_hwp.R · served as model yc_hybrid_v1 (FIA-anchored)

TL;DR

The hybrid (Chapman-Richards growth + an exponential decline tail beyond the per-cell empirical culmination) is now a fitted, FIA-anchored production engine. Anchored to the same 2022 standing carbon as the peak-decline engine (10,002 Tg C), its senescence tail yields a steadily more conservative trajectory: by 2122 CONUS reserve is 11,794 Tg C, about 20% below peak-decline's 14,813. The HWP layer adds the carbon held in wood products: it does not change reserve, but turns the managed 100-year change from standing-only -43% / -68% (harvest / intensive) into net -1,155 / -3,145 Tg C, and conservation from +469 to +2,196.

Hybrid fit in production

ycx_hybrid_fit.R fits y = A·(1-exp(-k·age))^p · exp(-d·max(0, age - A*)) per cell (fallback cell -> forest-type -> state), with A* the empirical culmination age. ycx_treemap_hybrid.R applies it to TreeMap 2022 pixels (reserve), and ycx_hybrid_anchor.R scales each state so its 2022 total matches the FIA-anchored production baseline (median scalar 0.86), preserving the trajectory shape. Anchored versus the current peak-decline projection:

Yearpeak-decline (Tg C)hybrid, anchored (Tg C)diff
202210,00210,0020%
205212,85812,511-2.7%
208214,17012,987-8.4%
210214,58512,513-14.2%
212214,81311,794-20.4%
Anchored to the same 2022 standing carbon, the hybrid diverges progressively below peak-decline, reaching about 20% lower by 2122. That gap is the senescence the decline tail introduces beyond each cell's empirical culmination: peak-decline keeps accumulating old-stand carbon, while the hybrid (the better CV-fitting form) turns it over. The anchored hybrid is served as yc_hybrid_v1 and is a production-ready candidate to replace peak-decline pending team sign-off, since the choice materially changes the 100-year old-forest carbon projection.

Harvested wood products (net flux)

The scenario projections track standing live carbon and off-stump removals; they do not credit the carbon stored in wood products. ycx_hwp.R adds an IPCC-style first-order-decay HWP pool: each decade's removed carbon is split into sawtimber (long-lived in-use products, half-life 35 yr) and pulpwood (short-lived, 2 yr) by the national merch split, each cohort decaying exponentially. Net system carbon = standing live + HWP in-use.

CONUS net system carbon (standing live plus harvested wood products) by management scenario, 2022 to 2122. Solid lines net; dotted standing-only. Adding HWP lifts the managed scenarios well above their standing-only trajectories.
Figure 1. CONUS net system carbon (standing live + HWP) by scenario. Solid = net; dotted = standing only. The HWP buffer is largest for the heavier-harvest scenarios.
Scenariostanding-only 100-yrHWP buffer 2122net 100-yr (forest+HWP)
reserve (no harvest)+4,8110+4,811
managed (conservation)+4691,727+2,196
managed (harvest)-4,2683,113-1,155
managed (intensive)-6,7533,608-3,145

HWP materially narrows the gap: the managed scenarios still lose system carbon relative to reserve, but far less than standing stock alone implies.

Refinement: landfill pool and substitution

Adding a solid-waste-disposal-site (landfill) pool (30% of retired products, 100-year half-life) extends product carbon retention; a substitution sensitivity (0.45 tC avoided per tC of harvested product, mid Sathre & O'Connor) is reported separately as an emissions credit, not a carbon stock. Net carbon stock = standing live + HWP in-use + landfill:

Scenariostanding 100-yrnet stock 100-yr (forest+HWP+landfill)+ substitution sensitivity
reserve (no harvest)+4,811+4,811+4,811
managed (conservation)+469+3,123+5,669
managed (harvest)-4,268+687+5,673
managed (intensive)-6,753-772+5,566

With in-use plus landfill, business-as-usual harvest turns net-positive over 100 years (+687 Tg C) and intensive is near-neutral; adding the substitution credit makes all managed scenarios strongly positive. Published as the live metric net_forest_hwp_c (carbon stock only; substitution excluded). The substitution displacement factor and landfill parameters are uncertain and bound the result, so substitution is kept as a sensitivity rather than folded into the stock metric.

Data and code

yield_curve_engine scripts

Provenance

PERSEUS, Center for Research on Sustainable Forests, University of Maine. Computation on OSC Cardinal (PUOM0008). Curves and HWP allocation fit from FIA tree data; TreeMap 2022 is USFS RDS-2025-0032. HWP half-lives follow IPCC defaults (sawnwood ~35 yr, paper ~2 yr).