According to Schweser, convenience yield is the benefit from holding the commodity rather than being long the equivalent futures. However, there is an inverse relationship between inventory levels (which I guess imply high physical commodity holdings) and convenience yield: the higher the inventory, the lower the convenience yield?
Diminishing marginal utility: if you’re a baker and you have 10 lbs. of flour on hand, an extra pound of flour is worth a lot (especially at 4:00 in the morning, when you’re making muffins for the breakfast crowd); if you have 1,000 lbs. of flour on hand, an extra pound of flour isn’t worth much more.
i think the explaination is not so obvious. google leads you to lots of academic research that tries to measure convenience yield. my conclusions were,
gas - no change, either on inventory or demand/seasonality
oil - yield slightly lower with high inventories, no seasonality
soft commodities - lower with high inventories (at end of growing season)
so main thing is the convenience yield is unrelated to demand, and for softs there is a lot of vertical integration in transport/storage/marketing - and - softs are rarely in backwardation - and - it’s difficult to speculate.
thats all I have to say, it’s yet another topic cfai need to get rewritten by an expert.