Do not use the diet you have posted.
On such a diet, you body will go, essentially into starvation mode. In starvation mode, your body begins to use up stored energy reseves of carbohydrates, protein and fat to supply your organs, muscles, etc. with the energy and nutrients they require.
As time in starvation progresses, your body will use different energy stores as the main source of energy (all three sources are used at all times, but the percentages change). For the first few hours in starvation, the body will use up stored carbs, in the form of glycogen in your muscles and liver for energy. It is most easily broken down into glucose (which is what your body uses as energy) and gives the highest yield.
After a few hours, your glycogen stores will be significantly depleted, and your body will begin to use protein, which can be broken down by your body to yield 60% glucose. This is a big problem area. Your body does not have excess protein stores, like it does carbs and fat stores. Therefore, when protein is used for fuel, you are eating away at your muscle, which represents a loss of muscle function and a decease in metabolism (basic metabolic rate is goverened by lean body mass, ie. muscle, bone, etc.).
After about 2 days, your body will then switch over to burning fat stores as the main fuel source. This is the stage desirable for weight loss, but a stage that many people fail to get to.
If you hold this diet, this is what you can expect:
Rapid weight loss for the first 2-3 days. This is due to firstly, the loss of glycogen, as the glycogen molecule in your body is stored with 3 water molecules, therefore loosing glycogen means your are loosing a lot of water as well. It is also due to the loss of lean body mass - protein in the form of muscle, is about 2000 kcal per pound, so you will loose this protein weight faster than you will loose fat weight.
After the first three days, if you maintain the diet, you will then start to loose fat. But you will continue to loose lean body mass, which will continue to decrese your basic metabolic rate, meaning you are burning less calories overall, which coupled with the fact that fat loss is about 3500 kcal per pound means your weight loss will slow dramatically. An extreme example would be someone with anorexia nervosa, eating about 400 kcal per day and maintaining weight. This is not somewhere you want to be.
In addition to the above complications, your running will suffer GREATLY. When running, your primary energy source is glycogen, or carbs. Your diet has very little carbohydrate in it. You will be like a car running on fumes.
My advice to you would be:
Estimate you basal metabolic rate. This is 10 x ideal body weight, which for females, is 100 lbs for someone 5' tall, plus 5 lbs for every inch over 5'. Example: you are 5'6", your BMR is 10 x 130 = 1300 kcal per day. Add in your voluntary excercise, at 100 kcal pre mile. So about 1000 kcal extra. You can now use a ball-park figure of 2300 kcal per day. Focus n eating whole grains, veggies, fruit, milk, and minimize fat and meat.
This caloric figure will still put you into starvation mode (less severe, naturally), and the above effects will still occur, albiet slower.
The only way to avoid loosing lean body mass while dieting is to incorporate resistance training (weights) into your daily excercise, AND RECOVER PROPERLY. This means eating a snack of at least 20 g carbs, 5-8 g of protein within 15 min of completing excercise. You can eat more is you can stomach it, but keep the carb to protein ratio at abour 4:1. This has been proven in medical studies to be the only way to avoid loss of muscle while dieting. And if you are a female and are afraid of getting "big", you have nothing to worry about. First off, your body doesn't have enough testosterone in it to get big on a normal diet, and secondly, you are in slight starvation mode, and your body is not going to be going around building muscle when it needs the extra calories for essential body functions.
Hope the diet works out for ya.