Step 1: Recall effect of upwelling and downwelling.
- Upwelling: Brings nutrient-rich deep water to surface → high chlorophyll, high productivity.
- Downwelling: Pushes surface water downward → reduces nutrient availability at surface → low chlorophyll.
Step 2: Recall role of eddies.
- Cyclonic eddy: Associated with divergence and upwelling → enhances productivity.
- Anticyclonic eddy: Associated with convergence and downwelling → nutrient-poor, low productivity.
Step 3: Combine.
- Downwelling + Anticyclonic Eddy = low nutrients + low chlorophyll.
Final Answer:
\[
\boxed{\text{(C) Downwelling, anticyclonic eddy}}
\]