Looks like Powdery Mildew. In order to prevent it the entire plant should be sprayed weekly begining in mid June with a some sort of fungicide, organic or other. 1000 pounds is not easily reached.

you probably have a case of powdery midew Symptoms: Powdery mildew is a fungal disease that affects most cucurbits, and in fact, many other species as well. Infection is first noted as slightly chlorotic spots on leaves. A white powdery appearing "dust" quickly covers the leaf surface, and affected leaves gradually turn brown and papery. Control: Use of resistant varieties and/or preventative fungicide sprays are both important. Since the fungus also infects many weed species, good weed control in and around production fields is important. Disease development is favored by cool, dry weather.

Ken, I agree, it looks like snails or slugs. I had lots of chilis and Scotch bonnets in the ground last year and had constant problems with the snails. Also, since the plants were in the ground too near other plants, powdery mildew became a problem. So this year I am growing the peppers in individual pots and so far...no problems. I don't know how many plants you have but if you only have a few, keeping them in pots may be a solution. It is easier to control conditions with them in pots.

I have that on my pumpkins this year. I assume it is some kind of pest damage (I have cuke beetles and squash bugs, in manageable amounts.) I have a very nice crop of pumpkins starting to turn nice colors and there is still plenty of healthy plant so I am not worrying about it. I think powdery mildew can also leave behind damage like that, and I have that too. IMO a spray of water is exactly what to do for PM - nothing works better than a simple spraying of the leaves with water - washes the PM off.