There is no time series.
A miner includes tx in a block, one of those transactions is a special one called the coinbase it has no input and only an output address(es). The miner sets the value of the coinbase to the block subsidy plus the sum of all tx fees in the block. When solved the miner is rewarded the sum.
It is a one time payment. If a miner never solves another block there will be no future payments.
So when I send BTC to someone and add a fee to make it go faster, is that the moment in time the miner receives the fee? Or are you saying that the miner already received the fee when the block was solved?
Is there perhaps a diagram that shows, upon creation of a block, where the fee goes and at what time?
Because any time someone has something that receives payments, they have something that can be sold, even if it is not nominally worth any money. The price would be determined by the present value of whatever estimated future payments might be received, like an annuity or income from a business. But it sounds like what you're saying is that's not how it works. In order to receive any payments after solving a block, they must solve another block? Even so, does the miner not then have an asset that receives income, which can be bought or sold?