Voters head to the polls this weekend to decide two closely watched national issues.
The Swiss People's Party proposal to cap the country's population below ten million by 2050, potentially forcing restrictions on immigration and free movement with the European Union is the most divisive.
Supporters say infrastructure is under strain, while opponents warn of economic damage.
If the initiative passes, it could mean a fundamental reset with relations with the EU.
After starting at 50/50, polls are moving slightly to suggest it will be rejected - with the latest saying 52% are against. But the figures are still within the margin of error.
The other federal issue is if it would be made harder for young men to choose civil service instead of joining the military.
The latest polling has the two sides almost level, with 48% in favour of stricter rules and 46% opposed. Under the new law, men who switch to civilian service would have to commit at least 150 days and attend annual refresher courses, mirroring military duty.
Backers say record numbers - more than 7,200 people last year - are using civilian service to skirt the army at a time of rising tensions in Europe. Opponents warn the bill could hollow out the social, education and health sectors that civilian conscripts help staff.
In Geneva, voters will decide two cantonal issues.
The first concerns religious symbols, with a proposal to ban elected officials from displaying conspicuous religious signs while carrying out their public duties.
Supporters say it reinforces state neutrality, while opponents argue it restricts religious freedom.
Voters will also decide whether to allow additional Sunday shop openings.
Backers say the measure will support local businesses and modernise retail, but critics warn it could undermine workers' rights and the traditional Sunday day of rest.
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