Noraa!
I think you are confused about Phase 1 being a "sort of starvation diet". You get plenty of satisfying, healthy things to eat on Phase 1 and should never feel hungry. If you get hungry, go ahead and eat something, just make sure it is Phase 1 compatible. We don't focus on counting calories, especially during Phase 1. Instead, we focus on eliminating cravings for sugars by avoiding all grains, sugars, vegetables high in sugar, and fruit. And that's just what will happen if you follow Phase 1 correctly.
There is no "promise" that you will lose 8-13 pounds in the first week, or even in the first 2 weeks, either. A lot of people do, and I lost 11 pounds the first time I did Phase 1. But everyone's body and metabolism is different, and some people have reported a very small weight loss initially. I believe it depends on what kind of food you were eating before you started this diet, and your fitness level. But, you will notice a difference inches, particularly in the belly area.
Good luck, and we hope you post often! We have a Phase One thread going on, and also come and join us in the daily thread!