A study? A model is not a study. A study looks at historical evidence. Like this one http://www.epionline.org/study/r31/
This one too: http://aspe.hhs.gov/hsp/lwlm99/turner.htm Notice where it says a disproportionate amount of minimum wage earners are teenagers whose families are not in poverty. Be a man and admit when you have been beaten.
If the studies are prior to the Great Recession, they aren't reflective what the conditions are like now (which was my point concerning 2003 to 2007). The study you just linked was from the 90's, which was a time when I would agree with you. But this is 2013.
We've had recessions before this one. And the studies I showed with old numbers were to show raising the minimum wage doesn't effect poverty. We haven't raised the federal minimum wage since 07 as far as I'm aware. Either way the pew research from past year shows the demographics have has not materially changed since those days so I'm not sure what you are hanging your hat on here?