Town planning: Parks

Having looked at infrastructure, let's assume that our economically rational, benevolent town-planning monarch (the idealised 'state') is now thinking about parks.

He starts with the basic area of 100 'units' from the previous example, with 48 plots for homes/gardens, 36 units of roads (including utilities) and 16 units of spare bits (which could be used as mini-parks, allotments or larger back gardens), and he decides to 'lose' three built-up plots and one unit of 'spare' and have four units of 'park' instead.
Those 'parks' will cost money to maintain and will also generate a little bit of income (charges for bowling greens, tennis courts, rowing boats and income from the hut which sells tea and ice cream), or the 'park' might be a municipal swimming pool, but let's ignore that.

Once we join up these units we end up with a larger park in the middle, which covers 16 out of 400 units, i.e. only 4% of the whole area:
Instead of having 4 x 48 = 192 plots which he can rent out or sell off, he now only has 4 x 45 = 180, so superficially, he's lost just over six per cent of his potential income, but is it not likely that that the average rental value of those remaining plots is not (say) ten per cent higher? Wherever you live, you are within a couple of blocks' walk of a few different parks, each one catering for slightly different tastes, and the houses directly overlooking an open green space or a boating lake will have a rental value that is even higher than the other houses.
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Thus the notion that a council would seek to maximise its income from Land Value Tax by selling off (or granting planning permission for) all the publicly accessible open spaces is a nonsense, there is an optimum level for everything and the optimum level for the amount of parks is far greater than zero per cent (whether it is five or ten or fifteen per cent, I do not know, it's not as scientific as that).

For a real life example of this, see Central Park in Manhattan, where the planners bought up and demolished existing buildings in order to have a nice big park. The amount of property tax income 'lost' is far outweighed by the extra value which teh park adds to every occupied plot.