  Hamada and Shiu have recently shown that tree level amplitudes in QED satisfy
an infinite hierarchy of soft photon theorems, the first two of which are
Weinberg and Low's theorems respectively. In this paper we propose that in tree
level massless QED, this entire hierarchy is equivalent to a hierarchy of
(asymptotic) conservation laws. We prove the equivalence explicitly for the
case of sub-subleading soft photon theorem and give substantial evidence that
the equivalence continues to hold for the entire hierarchy. Our work also
brings out the (complimentary) relationship between the asymptotic charges
associated to soft theorems and the well known Newman-Penrose charges.
