Old School RuneScape kingdom management: what's the difference between collecting resources daily and weekly?

Collecting daily will slightly improve (+2-3%) our yields of herbs and logs, but give fewer herb seeds and bird's nests because of unfavorable daily rounding.

We can arrive at this answer quite easily using RuneHQ's excellent Miscellania Management calculator.

To calculate a full week's gathering, we set the calculator with at least 1.2M gold in the coffer, duration of 7 days, and the specified distribution of workers (10 herb gatherers, 5 maple choppers). This returns 410 herbs, 3 herb seeds, 3025 maple logs, and 30 bird's nests.

Repeating the process to get a day's output, we set the calculator with at least 750K gold in the coffer, duration of 1 day, and the same distribution of workers. This gives us a daily output of 60 herbs, 0 herb seeds, 445 maple logs, and 4 bird's nests. Multiplying this by 7 (days in a week) yields 420 herbs, 0 herb seeds, 3115 maple logs, and 28 bird's nests.

Although the herb and maple log yields improve slightly if we collect resources from the kingdom daily, the yields of maple logs and herb seeds, somewhat counterintuitively, decline! This is likely because of unfavorable rounding forced by collecting the resources daily, rather than weekly.