If you have a natural bloom and not real muddy water don't add gyp or alum. as it will serve no purpose and may make things worse.
http://srac.tamu.edu/tmppdfs/381285-460f...e8f089e2d7d1d3aAll the coagulants mentioned can
remove phosphorus from water.
As phosphorus is an essential
plant nutrient, it may be necessary
to fertilize the pond after treating
it for turbidity. On occasion, phytoplankton
and clay can mutually coagulate, so fertilizing to start a
phytoplankton bloom may also
clear water of suspended clay particles.