Okay for me compost isn't gross 'calories' it's micronutrients, and fibre... although if you chop a legume crop off at ground level and plant something new, you've just provided reasonable nitrogen fertiliser in the nodules of the legume.
fertiliser for me involves
granite chip every few years
poos, yum yum, either chicken, cow, or whoever done something big enough to collect on the property (cow is very good when they're on hay

)
fire ash. I make sure nothing plastic has burned in there.
Okay, so that's the Big Three, the NPK quotient. then you've got middling fertilisers... ie not so desperately needed.
I may also add on occasion, or substitute:
blood & bone, (nitrogen, calcium, etc)
gypsum (inert but a good soil conditioner. Also a good source of calcium without raising the pH.)
Also don't forget that high nitrogen fertilisers will acidify the soil, and lime will alkilinise it. Vege patches tend to like somewhere between 6.5 and 7, ie just a bit below neutral, but using nitrogen again and again over time will acidify your soil below that point. you can tell a bit by souring, where leaves go pale and the plants don't thrive, but that can be foir other reasons too.
Oh, and New Zealand is low in magnesium, so i tend to shower the place in epsom salts when it looks too rank as well.

all natural. cheers.
edit - just saw trekker's post. I must say, I don't really have parasite/pest problems. moving crops around stops things establishing, but also healthy plants don't get attacked so much, or can outgrow pests until the pest eater comes along. I think when the soil is all bacterially thriving and the plant is thriving, you don't get huge population bursts of any predator, there's more of a balance. Having a hedgerow filled with borage, queen anne's lace, bog sage, that sort of thing provides habitat for pest predators too.