Simulation of Atmospheric CO2 Concentration with SPEEDY
IMAGE & MSRI Summer Graduate Workshop
 on Data Assimilation for the Carbon Cycle
Boulder, CO   8-13 July 2007
Ji-Sun Kang
University of Maryland

Goal
Simulate transport of atmospheric CO2 in a simple but realistic model
Add coupling with VEGAS
Perform LETKF (EnKF) testing methodologies using a nature run with VEGAS and a forecast model without it

WhatÕs SPEEDY?
SPEEDY (F. Molteni, 2003)
     (Simplified Parametrizations, primitivE-Equation DYnamics)
General Circulation Model of the Atmosphere
Prognostic variables: U, V, T, q, Ps
Spectral model with T30 resolution (96X48)
Seven layers in the vertical
Six-hour forecast (modified by Takemasa Miyoshi)

To Predict CO2 Concentration
Add one additional prognostic variable, CO2
Only advection and diffusion in the model
Source/Sink from the surface
No feedback between the integrated CO2 and radiative properties in SPEEDY
No chemical processes

Problem of Mass Conservation
Imperfect conservation of mass (spectral dynamics)
Empirical correction
Sum up CO2 forcing from the whole surface
A=·(CO2 forcing) for every timestep (40 min)
Accumulate total mass of CO2 in the simulation: B
B= · (CO2 concentration) over all grids for every timestep
Multiplying the ratio of A/B to every grid
A>B (loss of mass in SPEEDY)

Simulation
Three-year run from Jan. 1st in 1982
Initial condition
Atmospheric fields (u, v, T, q, Ps) from SPEEDY
Surface CO2 flux (kg/m2/sec)
Fossil fuel emission: Andres et al. (1995)
Constant forcing
5.0 PgC/yr

Conversion of Units
From the surface flux (kg/m2/sec) to the concentration in the atmosphere (ppmv)
Δc=C_sflx(kg/m2/sec)*(g/ΔP)*29/12
where ΔP= Psfc*Δσ, (Psfc=1000 hPa, Δσ=0.2)

CO2 Transport in the Atmosphere
The lowest layer of the model
From the very first step of simulation to the end of the first year
Only source from fossil fuel emission
No sink

CO2 Transport in the Atmosphere
Vertical Cross section of Zonal Mean

Annual Mean of CO2 Distribution
Comparison

Current Work
Coupling VEGAS to SPEEDY (done)
VEGAS (VEgetation Global Atmosphere and Soil)
Zeng, 2003 (University of Maryland)
Vegetation dynamics and terrestrial carbon cycle
Coupled to SLand
SLand (Simple-Land)
Land surface energy and water budget, flux exchange with lower atmosphere

Further Plan
Local Ensemble Transform Kalman Filter (LETKF)
Couple model with LETKF
Use model coupled with VEGAS  (nature run) to create simulated observations of  surface fluxes and concentrations, as well as regular atmospheric observations
Perform observing system simulation experiments (OSSEs) to the forecast model of CO2 , SPEEDY, using simulated observations from the coupled model

Thank you
Structure of SPEEDY
References
Andres, R. J., et al. 1996: A 1¡ x 1¡ distribution of carbon dioxide emissions from fossil fuel consumption and cement manufacture, 1950-1990, Global Biogeochem. Cycles, 10, 419-429.
http://earthobservatory.nasa.gov/Library/CarbonCycle/carbon_cycle.html
http://www.cmdl.noaa.gov/gallery2/d/26551-4/ccggmap.png
Lecture Notes from the workshop of ÔData Assimilation for the Carbon CycleÕ at Berkeley, July 17-28, 2006
Molteni, F., 2003: Atmospheric simulations using a GCM with simplified physical parameterizations. I: model climatology and variability in multi-decadal experiments. Clim. Dyn., 20, 175-191.
NASA-CASA Project, http://geo.arc.nasa.gov/sge/casa/
Takahashi, T., et al. 2002: Global sea-air CO2 flux based on climatological surface ocean PCO2, and seasonal biological and temperature effects, Deep-Sea Research, II, 49, 1601-1622

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