The shares, which are two-thirds owned by regional council Environment Southland, fell 6.5 per cent to $6.49 in late trading today.
While the full effect of the closure will not hit until the 2022 financial year, the current period may be affected as the smelter winds down its operations.
South Port chair Rex Chapman said the impact of the decision on the Southland economy will be significant.
"It is to be hoped that the small window between now and next August is used to ensure that the financial impact is mitigated both in the short term and in the longer term," he said.
"Aquaculture has been identified as Southland's best near-term economic opportunity and now is the time for that opportunity to be realised as soon as possible."
The aquaculture industry is worth approximately $600m a year but the government has set a target of lifting that to $3 billion annual turnover by 2035.