Until you provide this source for your info (my previous post asked for the full link, as the article you posted requires subscription), I cannot discuss it. But I went to the USDA site, downloaded the data into excel and created a chart for you (I separated the last 4 fiscal reporting months from the previous FY close).
Has SNAP data in the latest month declined over the previous month? Sure. I think it's a bit premature to celebrate, much less offer that Food Stamp use is "starting to fall". It's down less than 1% from 2014 levels in the last month only. A one month decline in a series that has shown volatility in the past at much greater levels does not show anything.
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The 400,000 or so people that dropped off could have dropped off because states are beginning to require drug testing or application to work programs BEFORE qualifying for SNAP payments now. They are seeing reduced claimants as they institute these requirements.
Even without any of that, the chart/data above shows no real decline to support your thesis.
I support the Food Stamp program, it provides a necessary buffer for families that have food insecurity issues. I believe the government needs to stamp down on Food Stamp fraud however.
There are two types of families on these social benefit programs; the first are those enduring economic loss (job, etc.) during the great recession and are working hard to get off of public assistance and move forward. With the improving economy a good number of these individuals got better jobs and are no longer on food stamps.
The second category are families that are perpetually on public assistance and have no intent of getting off of the programs. These are the individuals who are most likely to abuse the system (trading EBT benefits for drugs/alcohol). There needs to be a greater effort to work with these families and set them on the path of education, personal responsibility and employment. This is not an easy task and there are no simple solutions.