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グリーンイノベーション、環境規制、企業の炭素削減の非線形動学

Nonlinear Dynamics of Green Innovation, Environmental Regulation, and Corporate Carbon Abatement (原題)

Fang Sun

Journal of Numerical Simulations in Physics and Mathematics📚 査読済 / ジャーナル2026-10-15#政策
DOI: 10.62762/jnspm.2026.289453
原典: https://doi.org/10.62762/jnspm.2026.289453
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🤖 gxceed AI 要約

日本語

企業の炭素削減、蓄積されたグリーンイノベーション、実効的な規制圧力を連続時間の3状態モデルで定式化した研究。規制とイノベーションの関係は非単調で、中程度の圧力が最もイノベーションを促す。低削減・高削減の二つの安定均衡とヒステリシスが生じ、グリーン市場選好は転換閾値を下げる。一時的規制は強度と期間が十分な場合のみ有効で、規制圧力を適応的な状態転換メカニズムとして位置づける。

English

A three-state continuous-time model links corporate carbon abatement, accumulated green innovation, and effective regulatory pressure, with green market preference as demand-pull. The regulation–innovation channel is non-monotonic, and baseline parameters yield bistable low- and high-abatement equilibria with hysteresis. Green market preference lowers the transition threshold, while temporary regulation works only if sufficiently intense and sustained. Regulatory pressure thus acts as an adaptive state-transition mechanism shaped by initial capability, policy timing, and market demand.

Unofficial AI-generated summary based on the public title and abstract. Not an official translation.

📝 gxceed 編集解説 — Why this matters

日本のGX文脈において

炭素削減を規制圧力に対する非線形な状態転換として捉える視点は、SSBJや有報での気候関連開示において、企業の移行計画が閾値を超えるタイミングを説明する際に示唆を与える。ただし理論モデルであり、日本の制度・企業データに直接接続するものではない。

In the global GX context

The paper reframes carbon abatement as a bistable state-transition process rather than a smooth response to regulation, which is relevant to transition-plan credibility under TCFD/ISSB and to debates on policy stringency and timing. Its hysteresis result helps explain persistent firm heterogeneity in disclosure and abatement outcomes under similar regimes.

👥 読者別の含意

🔬研究者:Provides a formal dynamic-systems template for modeling regulation–innovation–abatement interactions with bistability and hysteresis.

🏢実務担当者:Suggests that transition-plan credibility depends on sustained regulatory pressure and accumulated green capability, not one-off measures.

🏛政策担当者:Highlights that temporary regulation must be sufficiently intense and long-lasting to shift firms to a high-abatement regime.

📄 Abstract(原文)

Corporate carbon abatement is commonly modeled as a direct and continuous response to environmental regulation or green innovation. Such representations cannot fully explain persistent differences among firms facing similar policy conditions or distinguish the pressure required to initiate a low-carbon transition from that needed to sustain it. This study develops a three-state continuous-time model linking corporate carbon abatement, accumulated green innovation, and effective regulatory pressure, with green market preference treated as an external demand-pull parameter. Green innovation lowers the marginal cost of abatement, abatement generates learning and commercial returns to innovation, and regulatory pressure responds to residual emissions while relaxing as abatement and credible green capability improve. The regulation--innovation channel is non-monotonic: moderate pressure strengthens innovation incentives, whereas the marginal stimulus declines at high pressure. The analysis combines equilibrium and stability analysis, saddle-node verification, attraction-basin classification, temporary-policy simulations, regime mapping, and global sensitivity analysis. Under the baseline configuration, two locally stable equilibria are separated by a saddle, and nondegenerate saddle-node thresholds generate hysteresis between low- and high-abatement states. Green market preference lowers the transition threshold, while temporary regulation succeeds only when both intensity and duration are sufficient. Regulatory adjustment may generate damped oscillatory modes, but no Hopf crossing is detected within the examined range. The findings show that regulatory pressure acts as an adaptive state-transition mechanism through which initial capability, policy timing, and market demand shape persistent corporate carbon-abatement outcomes. Broader stress tests confirm that bistability is conditional and can disappear under weak innovation capacity or combined adverse structural conditions. The numerical procedures developed here---multistart root finding,adaptive Runge--Kutta integration, analytical Jacobian evaluation,and Latin-hypercube sensitivity design---are transferable tocontinuous-time state-transition models in other applied domains.

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