  The El Ni\~{n}o Modoki in 2010 lead to historic droughts in Brazil. We
quantify the global and Brazilian carbon response to this event using the NASA
Carbon Monitoring System Flux (CMS-Flux) framework. Satellite observations of
CO$_2$, CO, and solar induced fluorescence (SIF) are ingested into a
4D-variational assimilation system driven by carbon cycle models to infer
spatially resolved carbon fluxes including net ecosystem exchange, biomass
burning, and gross primary productivity (GPP). The global net carbon flux
tendency, which is the flux difference 2011-2010 and is positive for net fluxes
into the atmosphere, was estimated to be -1.60 PgC between 2011-2010 while the
Brazilian tendency was -0.24 $\pm$ 0.11 PgC. This estimate is broadly within
the uncertainty of previous aircraft based estimates restricted to the
Amazonian basin. The biomass burning tendency in Brazil was -0.24 $\pm$ 0.036
PgC, which implies a near-zero change of the net ecosystem production (NEP).
The near-zero change of the NEP is the result of quantitatively comparable
increase in GPP (0.34 $\pm$ 0.20) and respiration in Brazil. Comparisons of the
component fluxes in Brazil to the global fluxes show a complex balance between
regional contributions to individual carbon fluxes such as biomass burning, and
their net contribution to the global carbon balance, i.e., the Brazilian
biomass burning tendency is a significant contributor to the global biomass
burning tendency but the Brazilian net flux tendency is not a dominant
contributor to the global tendency. These results show the potential of
multiple satellite observations to help quantify the spatially resolved
response of productivity and respiration fluxes to climate variability.
