Notations

Ca atmospheric OO9 mixing ratio

C'a atmospheric 13CC>2 or C0180 mixing ratio

&bur

& carbonate _weath

Ddef D0

Dsilicate _ioeath

Fbur

Fbur_regroiv Fcarbjw Fco_ oxidation Fdef_assim

Fdef_resp

Ff Fhr

Finv

i*oa

Fr fi silicate _weath Fstrat Fyolcanoes gs h

CO2 mixing ratio in chloroplasts CO2 mixing ratio at chloroplast surface co2 mixing ratio inside stomatal cavity isotopic disequilibria soil-respired isotopic disequilibrium biomass burning isotopic disequilibrium carbonate weathering isotopic disequilibrium land use-induced isotopic disequilibrium air-sea isotopic disequilibrium silicate weathering isotopic disequilibrium transpiration rate C02 flux

13C02 or C0180 flux CO2 net assimilation atmosphere-biosphere CO2 exchange flux atmosphere-ocean CO2 exchange flux biospheric CO2 net flux biosphere-atmosphere CO2 exchange flux biomass burning CO2 flux

CO2 flux of recovering ecosystem after fire soil CO2 uptake with CaCC>3

CO2 produced from CO oxidation photosynthetic CO2 uptake of new biomes after deforestation immediate and delayed CO2 release from deforestation

CO2 release by burning of fossil fuels heterotrophic respiration invasion or abiotic CO2 flux air-sea CO2 net flux ocean-atmosphere CO2 exchange flux

CO2 net ecosystem respiration residual terrestrial CO2 flux, often referred to

'missing sink'

CO2 uptake from silicate rock weathering stratosphere-troposphere CO2 exchange flux

CO2 outgassed by volcanoes stomatal conductance relative humidity air-sea gas transfer coefficient kinetic isotope effect (fractionation)

Ma

conversion factor between fluxes in GtC and mixing

rations in ppm

NPP

Net Primary Productivity

P

atmospheric pressure

Pa

atmospheric co2 partial pressure

Po

ocean surface CO2 partial pressure

R

I3C/12C or 180/160 isotope ratio

Ra

isotope ratio of atmospheric air

r

absolute temperature

Vi

leaf water volume

&

relative deviation of isotope ratio from standard

material

isotopic composition of atmospheric CO2

K

isotopic composition of atmospheric water vapor

h

isotopic composition of soil-respired CO2 from

previously formed biomass

K

isotopic composition of soil-respired CO2 from

recently formed biomass

isotopic composition of burned material in

absence of isotopic fractionation associated with

combustion

&bwr_regrow

isotopic composition of recovering ecosystems

8 def _assim after fire

¿CO oxidation <513C-C02 from CO oxidation isotopic composition of photosynthetic flux of new biomes after deforestation apparent isotopic composition of photosynthetic flux of new biomes after deforestation isotopic composition of immediate and delayed CO2 release from deforestation apparent isotopic composition of immediate and delayed CO2 release from deforestation isotopic composition of CO2 released from burning fossil fuel

5-value of flux to the atmosphere isotopic composition of CO2 equilibrated with leaf water at the evaporation site isotopic composition of leaf water at the evaporation site steady-state isotopic composition of leaf water at the evaporation site after Craig and Gordon formulation isotopic composition of CO2 released from volcanoes

8 def _assim

def_assim &def jresp

bl-CG

& mantle

S0 isotopic composition of CO2 equilibrated with ocean surface water

Sg hypothetical isotopic composition of CO2 if ocean in isotopic equilibrium with today's atmosphere S^ isotopic composition of ocean surface water

S out 5-value of flux from the atmosphere

<5q8 isotopic composition of atmospheric oxygen

<5S isotopic composition of C02 equilibrated with soil water

Sf isotopic composition of soil water

Sstrat isotopic composition of stratospheric CO2 8w_rekase isotopic composition of CO2 released from rock weathering

&w_uptake isotopic composition of CO2 uptake by rock weathering A discrimination; here difference between flux and atmospheric isotopic composition A^ lsO discrimination of assimilation

A 00 O discrimination of C02 entering the ocean from the atmosphere A j3 I3C discrimination of plants Ai_c3 13C discrimination of c3 plants aj_c4 13C discrimination of c4 plants Afjur 180 discrimination of burning processes A inv apparent 180 discrimination of invasion (abiotic) CO2 flux Aoa 180 discrimination of CO2 leaving the ocean to the atmosphere A a lsO discrimination of respiration

Astral 180 discrimination of stratosphere-troposphere exchange s fractionation eab 13C atmosphere-plant equilibrium fractionation

£ao 13C fractionation of CO2 entering the ocean seq lsO fractionation effect of CO2 equilibrating isotopically with water ejjf kinetic fractionation of water during evaporation

81 lsO diffusion fractionation of C02 through the stomata ef equilibrium fractionation between water and water vapor e0 lsO diffusion fractionation of C02 at air-sea interface

£oa 13C sea-to-air fractionation

£s 180 diffusion fractionation of soil respiration

0 fraction of CO2 hydrated in leaf water r turnover time of leaf water corrected for isotope fractionation c = (1 - h)(£f + \){£l + 1)

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