In contrast, land value goes up in the average if a lot of people keep building desirable buildings in what turns out to be a desirable district in the city. That promotes what people like. Consequently, inefficient land uses move further away from the desirable areas.
Implementing neither property tax nor land-value tax is not straight-forward in general and there are corner-cases that need to be sorted, but in general land use is what ultimately provides its value. Often property tax codes already incorporate parts of land-value taxing, but the intrinsic value of property to be taxed is debatable: what is the value (to the community) of a small, low-taxed detached house in the downtown versus a huge, high-taxed mansion outside of the city? The opportunity cost of taxing property might be huge.