"The high-water level in Paris is expected tonight at around 6.30 metres (above its normal level), perhaps 6.50 metres in a worst-case scenario," the ministry said in a statement.
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"It should be noted that this is more of a plateau than a peak, since this level will remain relatively stable for the whole weekend before receding."
The peak is expected to beat the levels reached during floods in 1982, when the river rose 6.15 metres above its normal level.
The record remains the 8.68 metres reached during devastating floods in 1910.
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The ministry also said it was possible that some residents in areas near the Seine in western Paris could be evacuated if necessary.
At least 14 people have been killed across northern Europe in this week's floods, trapping people in their homes and forcing rescuers to row lifeboats down streets turned into rivers.
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