C++ STL: Which method of iteration over a STL container is better?

Question

This may seem frivolous to some of you, but which of the following 2 methods of iteration over a STL container is better? Why?

class Elem;
typedef vector<Elem> ElemVec;
ElemVec elemVec;

// Method 0
for (ElemVec::iterator i = elemVec.begin(); i != elemVec.end(); ++i)
{
    Elem& e = *i;
    // Do something
}

// Method 1
for (int i = 0; i < elemVec.size(); ++i)
{
    Elem& e = elemVec.at(i);
    // Do something
}

Method 0 seems like cleaner STL, but Method 1 achieves the same with lesser code. Simple iteration over a container is what appears all over the place in any source code. So, I'm inclined to pick Method 1 which seems to reduce visual clutter and code size.

PS: I know iterators can do much more than a simple index. But, please keep the reply/discussion focused on simple iteration over a container like shown above.