The distribution of the fugacity of CO2 (fCO2\documentclass[12pt]{minimal}
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\begin{document}$$ f_{{{\text{CO}}_{ 2} }} $$\end{document}) and air–sea CO2 exchange were comprehensively investigated in the outer estuary to offshore shallow water region (lying adjacent to the Sundarban mangrove forest) covering an area of ~2,000 km2 in the northern Bay of Bengal during the winter. A total of ten sampling surveys were conducted between 1 December, 2011 and 21 February, 2012. Physico-chemical variables like sea surface temperature (SST), salinity, pH, total alkalinity (TAlk), dissolved inorganic carbon (DIC) and in vivo chlorophyll-a along with atmospheric variables were measured in order to study their role in controlling the CO2 flux. Surface water fCO2\documentclass[12pt]{minimal}
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\begin{document}$$ f_{{{\text{CO}}_{ 2} }} $$\end{document} ranged between 111 and 459 μatm which correlated significantly with the SST (r = 0.71, p < 0.001, n = 62). Neither DIC nor TAlk showed any linear relationship with varying salinity in the estuarine mixing zone, demonstrating the significant presence of non-carbonate alkalinity. An overall net biological control on the surface fCO2\documentclass[12pt]{minimal}
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\begin{document}$$ f_{{{\text{CO}}_{ 2} }} $$\end{document} distribution was established during the study, although no significant correlation was found between chlorophyll-a and fCO2\documentclass[12pt]{minimal}
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\begin{document}$$ f_{{{\text{CO}}_{ 2} }} $$\end{document} (water). The shallow water region studied was mostly under-saturated with CO2 and acted as a sink for atmospheric CO2. The difference between surface water and atmospheric fCO2\documentclass[12pt]{minimal}
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\begin{document}$$ f_{{{\text{CO}}_{ 2} }} $$\end{document} (ΔfCO2\documentclass[12pt]{minimal}
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\begin{document}$$ \Updelta f_{{{\text{CO}}_{ 2} }} $$\end{document}) ranged from −274 to 69 μatm, with an average seaward flux of −10.5 ± 12.6 μmol m−2 h−1. The ΔfCO2\documentclass[12pt]{minimal}
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\begin{document}$$ \Updelta f_{{{\text{CO}}_{ 2} }} $$\end{document} and hence the air–sea CO2 exchange was primarily regulated by the variation in sea surface fCO2\documentclass[12pt]{minimal}
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\begin{document}$$ f_{{{\text{CO}}_{ 2} }} $$\end{document}, since atmospheric fCO2\documentclass[12pt]{minimal}
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\begin{document}$$ f_{{{\text{CO}}_{ 2} }} $$\end{document} varied over a comparatively narrow range of 361.23–399.05 μatm.