I hereby recommend an interesting paper by Zhang et al. in GRL
Assessing five evolving microbial enzyme models against field measurements from a semiarid savannah-What are the mechanisms of soil respiration pulses?
While this paper does not lead the right answer to your question, it raises an interesting issue in the effect of soil water availablity in soil co2 eflux. Hope it is helpful.
I am not a soil expert but will use my little experience in bio-char in soil to explaining the dynamics; Of course temperature affects fluidity of water/liquid. Now Co2 or black carbon or biochar in soil help absorb a lot of water and releases it in relation to temperature in the soil.. therefore the flow rate of diffusion of water in soil inversely proportional to temperature. Co2 has micro pores that absorb a lot of water in soil. Please read these articles;Sensitivity of Soil Respiration to Variability in Soil Moisture and Temperature in a Humid Tropical Forest
Tana E. Wood , Matteo Detto, Whendee L. Silver
Published: December 2, 2013http://dx.doi.org/10.1371/journal.pone.0080965,
Moisture and soil texture effects on soil CO2 efflux components in southeastern mixed pine forests
John J. Dilustro, , Beverly Collins, Lisa Duncan, Chris Crawford
soil temperature (TS) and soil moisture (MS) are important drivers of spatial and temporal variations of soil CO2 efflux by affecting the productivity and decomposition rate of soil organic matter of terrestrial ecosystems. when TS is >15 °C and MS is medium, soil CO2 efflux is at its
maximum. Please see this paper for further details http://link.springer.com/article/10.1007/s10661-015-4927-2