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RESEARCH ( RESEARCHARTICLE <br />v <br />v <br />0 <br />cca <br />v <br />Process X <br />Globally mixed, with continental /global threshold <br />Planetary <br />Control variable <br />Safe operating space <br />Global <br />feedbacks <br />W. <br />W <br />v <br />0 <br />Local /regional <br />a <br />impacts <br />Process Y <br />Heterogeneous, with no continental /global threshold <br />Planetary <br />Zone of uncertainty: Increasing risk of impacts <br />Control variable <br />Dangerous level: High risk of serious impacts <br />Local /regional <br />thresholds <br />Fig. 1. The conceptual framework for the planetary boundary approach, showing the safe operating space, the zone of uncertainty, the position of <br />the threshold (where one is likely to exist), and the area of high risk. Modified from (1). <br />but also allows society time to react to early warn- <br />ing signs that it may be approaching a thresh- <br />old and consequent abrupt or risky change. <br />The developing science of early- warning signs <br />can warn of an approaching threshold or a de- <br />crease in the capability of a system to persist <br />under changing conditions. Examples include <br />"critical slowing down" in a process (22), in- <br />creasing variance (23), and flickering between <br />states of the system (24-26). However, for such <br />science to be useful in a policy context, it must <br />provide enough time for society to respond in <br />order to steer away from an impending thresh- <br />old before it is crossed (27 28). The problem of <br />system inertia —for example, in the climate sys- <br />tem (18) —needs to be taken into account in as- <br />sessing the time needed for society to react to <br />early- warning signs. <br />Not all Earth - system processes included in the <br />PB approach have singular thresholds at the global/ <br />continental /ocean basin level (1). Nevertheless, it <br />is important that boundaries be established for <br />these processes. They affect the capacity of the <br />Earth system to persist in a Holocene -like state <br />under changing conditions (henceforth "resilience ") <br />by regulating biogeochemical flows (e.g., the ter- <br />restrial and marine biological carbon sinks) or by <br />providing the capacity for ecosystems to tolerate <br />perturbations and shocks and to continue func- <br />tioning under changing abiotic conditions (29, 30). <br />Examples of such processes are land- system <br />change, freshwater use, change in biosphere in- <br />tegrity [rate of biodiversity loss in (1, 2)], and <br />changes in other biogeochemical flows in addi- <br />tion to carbon (e.g., nitrogen and phosphorus). <br />Placing boundaries for these processes is more <br />difficult than for those with known large -scale <br />thresholds (21) but is nevertheless important for <br />maintaining the resilience of the Earth system as <br />a whole. As indicated in Fig. 1, these processes, <br />many of which show threshold behavior at local <br />and regional scales, can generate feedbacks to <br />the processes that do have large -scale thresholds. <br />The classic example is the possible weakening of <br />natural carbon sinks, which could further de- <br />stabilize the climate system and push it closer to <br />large thresholds [e.g, loss of the Greenland ice <br />sheet (18)]. An interesting research question of <br />relevance to the PB framework is how small - <br />scale regime shifts can propagate across scales <br />and possibly lead to global -level transitions (31, 32). <br />A zone of uncertainty, sometimes large, is as- <br />sociated with each of the boundaries (yellow zone <br />in Fig. 1). This zone encapsulates both gaps and <br />weaknesses in the scientific knowledge base and <br />intrinsic uncertainties in the functioning of the <br />Earth system. At the "safe" end of the zone of un- <br />certainty, current scientific knowledge suggests <br />that there is very low probability of crossing a <br />critical threshold or substantially eroding the re- <br />silience of the Earth system. Beyond the "danger" <br />end of the zone of uncertainty, current knowl- <br />edge suggests a much higher probability of a <br />change to the functioning of the Earth system <br />that could potentially be devastating for human <br />societies. Application of the precautionary prin- <br />ciple dictates that the planetary boundary is set <br />at the "safe" end of the zone of uncertainty. This <br />does not mean that transgressing a boundary will <br />instantly lead to an unwanted outcome but that <br />the farther the boundary is transgressed, the <br />higher the risk of regime shifts, destabilized sys- <br />tem processes, or erosion of resilience and the <br />fewer the opportunities to prepare for such <br />changes. Observations of the climate system show <br />this principle in action by the influence of in- <br />creasing atmospheric greenhouse gas concentra- <br />tions on the frequency and intensity of many <br />extreme weather events (17 18). <br />Linking global and regional scales <br />PB processes operate across scales, from ocean <br />basins/biomes or sources /sinks to the level of the <br />Earth system as a whole. Here, we address the <br />subglobal aspects of the PB framework. Rock - <br />str6m et al. (1) estimated global boundaries on- <br />ly, acknowledging that the control variables for <br />many processes are spatially heterogeneous. That <br />is, changes in control variables at the subglobal <br />level can influence functioning at the Earth - <br />system level, which indicates the need to define <br />subglobal boundaries that are compatible with <br />the global -level boundary definition. Avoiding <br />the transgression of subglobal boundaries would <br />thus contribute to an aggregate outcome within <br />a planetary -level safe operating space. <br />We focus on the five PBs that have strong re- <br />gional operating scales: biosphere integrity, biogeo- <br />chemical flows [earlier termed "phosphorus (P) <br />and nitrogen (N) cycles" (1, 2)], land- system change, <br />freshwater use, and atmospheric aerosol loading. <br />Table S1 describes how transgression of any of <br />the proposed boundaries at the subglobal level <br />affects the Earth system at the global level. <br />For those processes where subglobal dynamics <br />potentially play a critical role in global dynamics, <br />the operational challenge is to capture the im- <br />portance of subglobal change for the functioning <br />1259555 -2 13 FEBRUARY 2015 • VOL 347 ISSUE 6223 sciencemag.org SCIENCE <br />