where it is currently in excess to areas where the
<br />soil is naturally P -poor may simultaneously boost
<br />global crop production and reduce the transgres-
<br />sion of the regional -level P boundary (3, 52, 54).
<br />The N boundary has been taken from the com-
<br />prehensive analysis of de Vries et al. (5), which
<br />proposed a PB for eutrophication of aquatic eco-
<br />systems of 62 Tg N year' from industrial and
<br />intentional biological N fixation, using the most
<br />stringent water quality criterion. As for the P
<br />boundary, a few agricultural regions of very high
<br />N application rates are the main contributors to
<br />the transgression of this boundary (Fig. 2 and
<br />fig. S5B). This suggests that a redistribution of N
<br />could simultaneously boost global crop produc-
<br />tion and reduce the transgression of the regional-
<br />level boundary.
<br />Because the major anthropogenic perturba-
<br />tion of both the N and P cycles arises from fertil-
<br />izer application, we can analyze the links between
<br />the independently determined N and P bounda-
<br />ries in an integrated way based on the N:P ratio
<br />in the growing plant tissue of agricultural crops.
<br />Applying this ratio, which is on average 11.8 (55),
<br />to the P boundary (6.2 Tg P year-) gives an N
<br />boundary of 73 Tg N year'. Conversely, applying
<br />the ratio to the N boundary (62 Tg N years) gives
<br />a P boundary of 5.3 Tg P years. The small dif-
<br />ferences between the boundaries derived using
<br />the N:P ratio and those calculated independent-
<br />ly, which are likely nonsignificant differences
<br />given the precision of the data available for the
<br />calculations, show the internal consistency in
<br />our approach to the biogeochemical boundaries.
<br />More detail on the development of the P and N
<br />boundaries is given in (33), where we also em-
<br />phasize that the proposed P and N boundaries
<br />may be larger for an optimal allocation of N (and
<br />P) over the globe.
<br />Land - system change
<br />The updated biosphere integrity boundary pro-
<br />vides a considerable constraint on the amount
<br />and pattern of land- system change in all ter-
<br />restrial biomes: forests, woodlands, savannas,
<br />grasslands, shrublands, tundra, and so on. The
<br />land- system change boundary is now focused
<br />more tightly on a specific constraint: the biogeo-
<br />physical processes in land systems that directly
<br />regulate climate— exchange of energy, water, and
<br />momentum between the land surface and the
<br />atmosphere. The control variable has been changed
<br />from the amount of cropland to the amount of
<br />forest cover remaining, as the three major forest
<br />biomes — tropical, temperate and boreal —play a
<br />stronger role in land surface- climate coupling
<br />than other biomes (56, 57). In particular, we fo-
<br />cus on those land - system changes that can in-
<br />fluence the climate in regions beyond the region
<br />where the land - system change occurred.
<br />Of the forest biomes, tropical forests have sub-
<br />stantial feedbacks to climate through changes in
<br />evapotranspiration when they are converted to
<br />nonforested systems, and changes in the distribu-
<br />tion of boreal forests affect the albedo of the land
<br />surface and hence regional energy exchange. Both
<br />have strong regional and global teleconnections.
<br />The biome -level boundary for these two types of
<br />forest have been set at 85% (Table I and the
<br />supplementary materials), and the boundary for
<br />temperate forests has been proposed at 50% of
<br />potential forest cover, because changes to tem-
<br />perate forests are estimated to have weaker in-
<br />fluences on the climate system at the global level
<br />than changes to the other two major forest
<br />biomes (56). These boundaries would almost
<br />surely be met if the proposed biosphere integ-
<br />rity boundary of 90% BII were respected.
<br />Estimates of the current status of the land -
<br />system change boundary are given in Figs. 2 and
<br />3 and fig. S6 and in (58).
<br />Freshwater use
<br />The revised freshwater use boundary has retained
<br />consumptive use of blue water [from rivers, lakes,
<br />reservoirs, and renewable groundwater stores
<br />(59)] as the global -level control variable and
<br />4000 km3 /year as the value of the boundary.
<br />This PB may be somewhat higher or lower de-
<br />pending on rivers' ecological flow requirements
<br />(6). Therefore, we report here a new assessment
<br />to complement the PB with a basin -scale bound-
<br />ary for the maximum rate of blue water with-
<br />drawal along rivers, based on the amount of water
<br />required in the river system to avoid regime shifts
<br />in the functioning of flow - dependent ecosystems.
<br />We base our control variable on the concept of
<br />environmental water flows (EWF), which defines
<br />the level of river flows for different hydrological
<br />characteristics of river basins adequate to main-
<br />tain a fair -to -good ecosystem state (60 -62).
<br />The variable monthly flow (VMF) method
<br />(33, 63) was used to calculate the basin -scale
<br />boundary for water. This method takes account
<br />of intra - annual variability by classifying flow re-
<br />gimes into high -, intermediate -, and low -flow
<br />months and allocating EWF as a percentage of
<br />the mean monthly flow (MMF). Based on this
<br />analysis, the zones of uncertainty for the river -
<br />basin scale water boundary were set at 25 to 55%
<br />of MMF for the low -flow regime, 40 to 70% for
<br />the intermediate -flow regime, and 55 to 85% for
<br />the high -flow regime (table S2). The boundaries
<br />were set at the lower end of the uncertainty
<br />ranges that encompass average monthly EWF.
<br />Our new estimates of the current status of the
<br />water use boundary— computed based on grid
<br />cell- specific estimates of agricultural, industrial,
<br />and domestic water withdrawals —are shown in
<br />Figs. 2 and 3, with details in figs. S7 and S8.
<br />Atmospheric aerosol loading
<br />Aerosols have well- known, serious human health
<br />effects, leading to about 7.2 million deaths per
<br />year (64). They also affect the functioning of the
<br />Earth system in many ways (65) (fig. S9). Here,
<br />we focus on the effect of aerosols on regional
<br />ocean - atmosphere circulation as the rationale
<br />for a separate aerosols boundary. We adopt aero-
<br />sol optical depth (AOD) (33) as the control var-
<br />iable and use the south Asian monsoon as a case
<br />study, based on the potential of widespread aero-
<br />sol loading over the Indian subcontinent to switch
<br />the monsoon system to a drier state.
<br />RESEARCH ( RESEARCHARTICLE
<br />The background AOD over south Asia is -0.15
<br />and can be as high as 0.4 during volcanic events
<br />(66). Emissions of black carbon and organic car-
<br />bon from cooking and heating with biofuels and
<br />from diesel transportation, and emission of sul-
<br />fates and nitrates from fossil fuel combustion,
<br />can increase seasonal mean AODs to as high as
<br />0.4 (larger during volcanic periods), leading to
<br />decreases of 10 to 15% of incident solar radiation
<br />at the surface (fig. S9). A substantial decrease in
<br />monsoon activity is likely around an AOD of 0.50,
<br />an increase of 0.35 above the background (67).
<br />Taking a precautionary approach toward uncer-
<br />tainties surrounding the position of the tipping
<br />point, we propose a boundary at an AOD of 0.25
<br />(an increase due to human activities of 0.1), with
<br />a zone of uncertainty of 0.25 to 0.50. The annual
<br />mean AOD is currently about 0.3 (66), within the
<br />zone of uncertainty.
<br />Introduction of novel entities
<br />We define novel entities as new substances, new
<br />forms of existing substances, and modified life
<br />forms that have the potential for unwanted geo-
<br />physical and /or biological effects. Anthropogenic
<br />introduction of novel entities to the environment
<br />is of concern at the global level when these en-
<br />tities exhibit (i) persistence, (ii) mobility across
<br />scales with consequent widespread distributions,
<br />and (iii) potential impacts on vital Earth- system
<br />processes or subsystems. These potentially in-
<br />clude chemicals and other new types of engi-
<br />neered materials or organisms [e.g., (65 -71)] not
<br />previously known to the Earth system, as well as
<br />naturally occurring elements (for example, heavy
<br />metals) mobilized by anthropogenic activities.
<br />The risks associated with the introduction of
<br />novel entities into the Earth system are exempli-
<br />fied by the release of CFCs (chlorofluorocarbons),
<br />which are very useful synthetic chemicals that
<br />were thought to be harmless but had unexpected,
<br />dramatic impacts on the stratospheric ozone layer.
<br />In effect, humanity is repeatedly running such
<br />global -scale experiments but not yet applying the
<br />insights from previous experience to new appli-
<br />cations (72, 73).
<br />Today there are more than 100,000 substances
<br />in global commerce (74). If nanomaterials and
<br />plastic polymers that degrade to microplastics
<br />are included, the list is even longer. There is also
<br />a "chemical intensification" due to the rapidly
<br />increasing global production of chemicals, the
<br />expanding worldwide distribution as chemical
<br />products or in consumer goods, and the exten-
<br />sive global trade in chemical wastes (75).
<br />In recent years, there has been a growing de-
<br />bate about the global -scale effects of chemical
<br />pollution, leading to calls for the definition of
<br />criteria to identify the kinds of chemical sub-
<br />stances that are likely to be globally problematic
<br />(76, 77). Persson et al. (73) proposed that there are
<br />three conditions that need to be fulfilled for a
<br />chemical to pose a threat to the Earth system: (i)
<br />the chemical has an unknown disruptive effect
<br />on a vital Earth - system process; (ii) the disruptive
<br />effect is not discovered until it is a problem at the
<br />global scale; and (iii) the effect is not readily
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