It goes deeper then the old "intake less calories" rule that we all have learned in grade school. You need to look at the deeper issue which is the type of calories you are consuming.

Calories from carbohydrates, starches, and sugars will actually spike your insulin levels, and when that happens your body will react by sending all incoming calories to storage, which is commonly known as fat. You don't get fat by eating fat, you get fat when you consume insulin spiking calories.

I personally eat all the animal products I can get my hands on, including eggs and animal fat. I never count calories. I lost about 20 pounds in a years time.

Keep it simple. Since the food pyramid was released decades ago heart disease and obesity has gone up. Doesn't take a genius to figure out why that is.