Single Point Watering - the idea being to water at a single point, rather than around the entire tree. Reasoning behind this is about limiting water to weeds during summer by watering to the depth that only the tree itself is getting it. The point where you water should be conducive to where the drip line of the tree itself is, and at a convenient point for you to reach. As such, as the plant grows the watering point will move away from the trunk of the tree itself.
This could also be used as a means of delivering fertilizer by making the drip point a worm farm, a basket structure with organic material (including manure), a hole dug in the ground filled with a mix of organic material (woody, manure, etc) and capped off with a stone /s, etc. The idea is that you try to run the water through a structure that can slow its movement and potentially release fertilizer in the process. Note that worms tend to be attracted to structures such as these in the land. If using clay pots either on the ground or dug into the soil, it'd probably be better to not potentially clog it up with excess nutrients.
As to seasonal weeds, during the wetter months I would think simply allowing nature to take its course may in fact be a better option than heavily mulching or continual slashing or grubbing. Keep the weeds clear only of the watering point that you have selected. Once they have set seed and died back (a good method is to only allow the weeds you believe of most benefit to reach this stage by removing or slashing the others), then slash the area in chop and drop fashion. This would provide the mulch material for the drier months.