Research on Eutrophication of Nairobi Dam, Kenya and its tributaries has revealed fair negative correlation between Dissolved Oxygen (DO) and Total Dissolved Solids (TDS) Contents (y = -24.562x + 622.28, R2 = 0.6835). This indicated that, sampling sites with low dissolved oxygen had high TDS, while those with high DO had low TDS. When the levels of these parameters in the aquatic environment studied were compared with other eutrophic aquatic systems of the world, it was found to be highly eutrophic. Thus, any of these two parameters could be used as an index of Eutrophication in a given water body suspected to exhibit Eutrophic activity.
For details please refer: Correlation between Dissolved Oxygen and Total Dissolved Solids and their Role in the Eutrophication of Nairobi Dam, Kenya P.G. Muigai1 , P. M. Shiundu2 , F.B. Mwaura3 and G.N. Kamau2 1Department of Chemistry, Jomo Kenyatta University of Agriculture and Technology, P.O. Box, 62000 – 00200, Nairobi, Kenya, 2Department of Chemistry, 3School of Biological Science - , College of Biological and Physical Sciences, University of Nairobi, P.O. Box 30197-00100, Nairobi, Kenya
It depends on your system and also maybe the definition of TDS.
When working in an estuary, most of your TDS is Salinity, and Salinity reduces Oxygen Solubility so It will definitely have negative correlation with Oxygen.
Another impact you might have when working in estuaries that have good connectivity with the ocean is that ocean water are more Oxyc and therefore Salt water means Higher Oxygen Concentration.
where salinity is high microorganism community might be more Oceanic and therefore not adapted to eutrophic conditions.
All the above are correct. Higher TDS (as salinity) decreases the dissolvability of oxygen and so has less oxygen due to physics. However, the major driving force for very low dissolved oxygen is usually due to high bloom conditions in the surface waters. In partially mixed and highly stratified -salt wedge areas of estuaries , the water column is separated by the water density physics. This leads to lower layers being more saline (higher TDS) and cut off from surface oxygen. If an area has high nutrients, the phytoplankton bloom , die, sink , and decay in the bottom waters, using up the oxygen. And so for many situations in estuaries, the higher salinity waters, especially at the lower salinity areas of estuaries ("top" of the estuarine area) with high nutrients, eutrophic conditions, and stratification can have much lower DO , reaching hypoxic or even anoxic (no DO) levels in the bottom waters. The area of an estuary closer to the ocean will have higher salinity throughout the water column and high dissolved oxygen unless a very large bloom offshore has occurred.