There must be enough food and they prob got in there with eggs and now you guys have a population. I am not a big spider expert, so I would say keep on cleaning and try to seek for what are they feeding on, they won't stay if they have no food. For better tips you should try to contact the spider men: Norman Platnick, Charles Griswould they may help more than I.

You may want to try the product Home Defense. The label says that it is safe to use both inside and outside of dwellings and that it is safe for pets as well. I have used it with great success, without incident.

Lemon grass Cymbopogon nardus might do in 50% essential oil.

For button spiders, I would say constant spring cleaning is probably the best way to go.

Lynx spiders in a building? If this is the Green Lynx spider, that is not a typical habitat unless maybe you have a large number of indoor flowering plants? Ana's suggestion was very good, and would be the route I would take. A few jumping spiders could be caught in a jar and dumped outside. I would prefer a few spiders than a house filled with flies and cockroaches. Of course there is always the spray pesticide option, but I am more comfortable about most spiders and insects than I am around more insecticides. Of course there are some exceptions. The other thing to consider is what the pesticides might do to your experiments. Having the pesticide interact with your experimental treatments is not a favorable experimental design -- though possibly better than having the spiders as a random part to your experimental design. So try caulking all the seams along the walls and floor to restrict access. You could also put yellow sticky traps near walls and ceiling. FInally, move all tables away from the walls and put the legs of the tables in small jars filled partly with baby powder. The baby powder traps the insects/spiders and is less messy than motor oil. Of course the baby power must stay dry to be effective.

Hi Mr Ebert

Thank you that is great advice, unfortunately we are also an insect rearing facility to insecticides and the like are prohibited. 

As for the lynx spiders, I haven't caught one yet but I saw some flies hanging from single strands of web around the room, I remember a spider group doing that, but not 100% sure it is lynx? Can you advise on that?

Thanks once again!

Lynx spiders are wandering hunting spiders and do not hang single strands.  I am not sure which spider that might be, but will look for an answer.  I do agree that eradicating the food source is the only real good answer as the spiders will either leave or starve.  If you have quite a few spiders, then there is a large food source of insects available.

A black widow lair is a fairly disorganized tangle of single threads. A salticid often leaves a single thread when it jumps. It could be almost any spider that spins silk. It might have started a web, and then left after spinning a single thread.

The baby powder and oil are not insecticides when used as suggested. The problem may be keeping them dry. If the colony is watered with a hose/sprinkler it can be difficult controlling the water.

There was a great system in Hawaii where the slab for the greenhouse floor was about 10 inches wider than the building. In the slab outside the building was a 2" deep groove about 3" wide. The groove was filled with water to act as a moat.