Stockholm Resilience Centre · Training module 斯德哥尔摩韧性中心 · 培训模块
Thresholds, regime shifts and resilience at planetary scale. A self-contained teaching module — every figure carries its source, every source carries its link. 行星尺度上的阈值、体制转换与韧性。一份可独立使用的教学模块——每个数据都注明出处，每条出处都附有链接。
The dial · dashed ring = the boundary 刻度盘 · 虚线圈即为边界
Wedge length = distance from the pre-industrial state, scaled so the dashed ring is the boundary. After Richardson et al. (2023) [04]. 扇形长度＝相对工业化前状态的偏离程度，以虚线圈为边界进行标准化。依据 Richardson 等（2023）[04]。
Earth-system processes that regulate the stability of the planet调节地球系统稳定性的关键过程
of them already beyond the boundary as assessed in 2023在 2023 年评估中已被突破的边界数量
the CO₂ boundary — the precautionary guardrail, not the cliff edge二氧化碳边界值——预防性护栏，而非悬崖边缘
where the atmosphere stood in the 2023 assessment2023 年评估时的大气浓度
Everything in this module rests on three ideas borrowed from ecology and applied to the whole planet. Teach them in this order — each one makes the next one make sense. 本模块的全部内容建立在三个源自生态学、并被推广到整个地球系统的概念之上。请按此顺序讲授——前一个概念是理解后一个的前提。
A point in a control variable where the system's response stops being gradual. Push a little more and you get a lot more change — the line where "more of the same" becomes "something else". 控制变量上的一个临界点：越过它，系统的响应不再是渐进的。再多一点推力，就会带来远超比例的变化——“量变”在此处成为“质变”。
Key: nonlinearity关键词：非线性The system drops into a different state with its own feedbacks — clear lake to turbid, forest to savanna. Reversing it usually means going far further back than the point you crossed. That lag is hysteresis. 系统跌入另一种由自身反馈维持的状态：清水湖变浊、森林变稀树草原。要逆转，往往必须退回到远早于越界点的条件。这种滞后即为“迟滞”。
Key: hysteresis关键词：迟滞How much disturbance a system can absorb and still keep its identity — the width of the valley the ball sits in. Not only bouncing back: it also covers adapting, and deliberately transforming. 系统在保持自身特性的前提下所能吸收的扰动量——即小球所在“低谷”的宽度。它不只是“弹回原状”，还包含适应能力与主动转型能力。
Key: basin of attraction关键词：吸引域The boundary is not the cliff. It is the fence we build back from the cliff, in the fog. 边界不是悬崖，而是我们在浓雾中，退到离悬崖足够远处筑起的那道围栏。Teaching line for the precautionary principle — see Rockström et al. 2009 [01] 用于讲解预防原则的教学表述——参见 Rockström 等，2009 [01]
Each process is made measurable by a control variable. The boundary is set at the safe end of the scientific uncertainty range — deliberately conservative. 每一过程都通过一个可测量的控制变量来刻画。边界值被设定在科学不确定性区间的安全一端——刻意保守。
Atmospheric CO₂ concentration · top-of-atmosphere radiative forcing
Genetic: extinction rate · Functional: human appropriation of net primary production (HANPP)
Area of forest remaining, relative to original forest cover
Blue water: streamflow deviation · Green water: root-zone soil moisture deviation, share of ice-free land
Industrial and intentional fixation of nitrogen · phosphorus flow to the ocean
Synthetic chemicals, plastics, engineered organisms and radioactive materials released without adequate safety assessment
Carbonate ion concentration — aragonite saturation state (Ω) of surface seawater
Interhemispheric difference in aerosol optical depth (AOD)
Total atmospheric ozone column (Dobson Units)
All values from Richardson et al. (2023), Science Advances [04], which updates Steffen et al. (2015) [03]. The 2025 Planetary Health Check [06] reports ocean acidification as the seventh boundary crossed — check the current edition before teaching this row.
大气二氧化碳浓度 · 大气层顶辐射强迫
遗传多样性：物种灭绝速率 · 功能完整性：人类占用的净初级生产力（HANPP）
现存森林面积占原始森林覆盖的比例
蓝水：河川径流偏离 · 绿水：根区土壤湿度偏离，均以无冰陆地面积占比计
工业与人为固氮量 · 进入海洋的磷通量
未经充分安全评估即释放的合成化学品、塑料、人工改造生物与放射性物质
碳酸根离子浓度——表层海水文石饱和度（Ω）
南北半球气溶胶光学厚度（AOD）之差
大气臭氧总柱量（多布森单位 DU）
全部数值取自 Richardson 等（2023）《Science Advances》[04]，该文更新了 Steffen 等（2015）[03]。2025 年《行星健康体检》报告 [06] 将海洋酸化列为第七条被突破的边界——讲授此行前请查阅最新版本。
It isn't. Boundaries are placed at the safe end of the uncertainty zone that precedes possible thresholds. Tipping elements are a separate, overlapping literature [09][10].并非如此。边界被设定在可能存在阈值的不确定区间的安全一端。“倾覆要素”是与之相关但不同的另一套文献 [09][10]。
Crossing means leaving the safe operating space and entering rising, poorly bounded risk — often with decades of delay before the system responds [03][11].越界意味着离开安全运行空间、进入风险上升且难以界定的区域；系统的响应往往滞后数十年才显现 [03][11]。
They are planetary aggregates. Turning them into fair regional and sectoral allocations is a separate step — the safe and just framing [23][22].它们是行星尺度的总量。要转化为公平的区域与行业配额，需要另一步工作——即“安全且公正”的框架 [23][22]。
From local limits to a planetary safe operating space. Ask the room where they think the limits actually bite.
Threshold, regime shift, hysteresis, resilience — draw the three diagrams above on the board, in that order.
In pairs, take one boundary. Name its control variable, its boundary value, and one reason the number is contested.
Pick a documented regime shift from the SRC Regime Shifts Database [16]. Map its drivers, feedbacks and early-warning signals [14].
One question each: what would staying inside the boundary require of your sector, this decade?
从地方性资源限制过渡到行星尺度的安全运行空间。先问学员：他们认为限制究竟在哪里真正起作用？
阈值、体制转换、迟滞、韧性——按上文顺序在白板上依次画出三幅示意图。
两人一组，各领一条边界：说出其控制变量、边界值，以及该数值存在争议的一个理由。
从斯德哥尔摩韧性中心“体制转换数据库”[16] 中选取一个已记录案例，梳理其驱动因子、反馈回路与早期预警信号 [14]。
每人回答一个问题：在这十年内，留在边界之内对你所在的行业意味着什么？
Numbered as cited above. Journal links resolve through DOI where possible; institutional pages are the living, updated version of the science. 编号与上文引用一致。期刊链接尽可能通过 DOI 解析；机构页面则是持续更新的科学版本。