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The first study appears to make the assertion that illegal immigrants have not caused an increase in crime, because crime has been declining since the past 30 years. I would say that it is rather difficult to make that assertion considering that there are a number of factors that have led to the decrease of crime over the past 30 years, not the least of which is America's mass incarceratiosn (a number of whom are the incarcerated illegals kept in federal prisons).
The second study actually makes the hilarious and absurd suggestion that illegal immigration may actually lead to "decreases in public health concerns". I personally have no time for studies attempting to make correlations without any sensible factual basis. You should atleast offer some sort of a tangible explanation as to why you may think that illegal immigration decreases public health concerns. A mere "correlation" doesn't quite cut it, as a host of factors have played part into the betterment of public health and decrease of crime in the past 30 years, the increase of illegal immigration having played a rather minimal part according to any sensible observer.
The third study seems to rely heavily on the data provided by the state of Texas, about the criminality of illegal aliens. However, the study does not cite that the Texas law departments themselves acknowledge that their statistics are likely under-representing the entirety of illegal crime in the state, taking into account only the crimes of the illegals at the time of which they were identified through PEP, which requires the illegal to have had a prior encounter with Department of Homeland Security, in order to have had their finger-prints taken.
"These figures only count individuals who previously had an encounter with DHS that resulted in their fingerprints being entered into the DHS IDENT database. Foreign nationals who enter the country illegally and avoid detection by DHS, but are later arrested by local or state law enforcement for a state offense will not have a DHS response in regard to their lawful status and do not appear in these counts."
The report states:
"It is also important to note that these figures represent the minimum number of crimes associated with criminal illegal aliens"
There does not appear to be a reference made to this rather significant fact, in the article that you posted.
I understand that no study that tells you something you don't want to hear will be convincing to you, but the point is that pretty much everyone who has tried to answer the question has reached the conclusion that you dismiss our of hand. That at least suggests that your confidence is not justified.