As others say, there are assumptions built into your question that are false – the oxygen level does change (albeit not drastically), and ‘most’ trees don’t shed their leaves in the winter. The two hemispheres have opposite seasons so for every* (not 1:1 but close enough for comparison) tree that loses its leaves, another in the opposite side takes its place. In addition, most of the oxygen in the world comes from the oceanic plankton – after all, it makes up most of the surface of the planet.
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