Can anybody give me some sources?

 

Thanks in advance.

 

I would think that Scientists would/should have several fast life cycle/reproducing organisms in the lab, observing subtle changes over years and years. A one day (or less) reproducing cycle monitored for 10-20 years could be enough to produce effects of gradual evolution or punctuated equilibrium and/or

fusion?

 

Have they tried using a species like the mayfly?

You might find what you are looking for here:

http://www.talkorigins.org/faqs/faq-speciation.html

http://www.talkorigins.org/faqs/speciation.html

 

The most useful thing in the first link is the discussion of what "species" means; it is a somewhat arbitrary man-made concept so defining whether or not speciation has occurred can be a matter of opinion/definitions to some extent.

 

 

A one day (or less) reproducing cycle monitored for 10-20 years could be enough to produce effects of gradual evolution or punctuated equilibrium and/or fusion?

Gradual evolution and punctuated equilibrium are the same basic thing, from the viewpoint of evolutionary theory. I have no idea what "fusion" means in this context.

 

Have they tried using a species like the mayfly?

There are many different species of mayfly. They would be difficult and very expensive subjects for such a dubious and unenlightening project.

Plants hybridize in the lab/controlled circumstance (almost a trivial occurrence) and create new species.

http://en.wikipedia.org/wiki/Hybrid_speciation