Fred and Jane have a child. There is no land available in their area (unless the plan is to have great swathes of land unused to allow for future births), so what do we give the child? Land 100 miles away? Or do we trim a square foot of everyones existing land so the child has her allotment spread over 10 square miles?
I assume no-one can sell their land even if they don't want it? If they could, you would instantly end up with some people having more land than others! So on the basis people who don't want land cannot sell it, great swathes of currently productive land would just lie fallow.
I also have to assume that peoples land is taken off them at death - so they will never bother planting slow maturing trees, or undertaking any long term work - after all the land will be taken away not passed on to their family.
What do we do when the population expands? Take away land from the rest of the population?
Old people who cannot work their land who have no kids will also let it lie fallow of course since they cannot sell it.