office. When he was sober, we would find out, oh, he’s working someplace, and my husband and I would go and have dinner where he was working. When my husband and I were dating, and we were going to get married, he said, ‘Can I come to the wedding?’ And I almost felt like he should. My joke was ‘If you are sober you can come, because I can’t afford your bar bill.’ When we started a family, he would lay a hand on my pregnant belly and bless the child. He really was this kind of light.”

In the fall of 2003, the Reno Police Department started an initiative designed to limit panhandling in the downtown core. There were articles in the newspapers, and the police department came under harsh criticism on local talk radio. The crackdown on panhandling amounted to harassment, the critics said. The homeless weren’t an imposition on the city; they were just trying to get by. “One morning, I’m listening to one of the talk shows, and they’re just trashing the police department and going on about how unfair it is,” O’Bryan said. “And I thought, Wow, I’ve never seen any of these critics in one of the alleyways in the middle of the winter looking for bodies.” O’Bryan was angry. In downtown Reno, food for the homeless was plentiful: there was a Gospel kitchen and Catholic Services, and even the local McDonald’s fed the hungry. The panhandling was for liquor, and the liquor was anything but harmless. He and Johns spent at least half their time dealing with people like Murray; they were as much caseworkers as police officers. And they knew they weren’t the only ones involved. When someone passed out on the street, there was a “One down” call to the paramedics. There were four people in an ambulance, and the patient sometimes stayed at the hospital for days, because living on the streets in a state of almost constant intoxication was a reliable way of getting sick. None of that, surely, could be cheap.

O’Bryan and Johns called someone they knew at an ambulance service and then contacted the local hospitals. “We came up with three names that were some of our chronic inebriates in the downtown area, that got arrested the most often,” O’Bryan said. “We tracked those three individuals through just one of our two hospitals. One of the guys had been in jail previously, so he’d only been on the streets for six months. In those six months, he had accumulated a bill of a hundred thousand dollars – and that’s at the smaller of the two hospitals near downtown Reno. It’s pretty reasonable to assume that the other hospital had an even larger bill. Another individual came from Portland and had been in Reno for three months. In those three months, he had accumulated a bill for sixty-five thousand dollars. The third individual actually had some periods of being sober, and had accumulated a bill of fifty thousand.”

The first of those people was Murray Barr, and Johns and O’Bryan realized that if you toted up all his hospital bills for the ten years that he had been on the streets – as well as substance-abuse-treatment costs, doctors’ fees, and other expenses – Murray Barr probably ran up a medical bill as large as anyone in the state of Nevada.

“It cost us one million dollars not to do something about Murray,” O’Bryan said.

2.

In the wake of the Rodney King beating, the Los Angeles Police Department was in crisis. It was accused of racial insensitivity and ill discipline and violence, and the assumption was that those problems had spread broadly throughout the rank and file. In the language of statisticians, it was thought that the LAPD’s troubles had a “normal” distribution – that if you graphed them, the result would look like a bell curve, with a small number of officers at one end of the curve, a small number at the other end, and the bulk of the problem situated in the middle. The bell-curve assumption has become so much a part of our mental architecture that we tend to use it to organize experience automatically.

But when the LAPD was investigated by a special commission headed by Warren Christopher, a very different picture emerged. Between 1986 and 1990, allegations of excessive force or improper tactics were made against eighteen hundred of the eighty-five hundred officers in the LAPD. The broad middle had scarcely been accused of anything. Furthermore, more than fourteen hundred officers had only one or two allegations made against them – and bear in mind that these were not proven charges, that they happened in a four-year period, and that allegations of excessive force are an inevitable feature of urban police work. (The NYPD receives about three thousand such complaints a year.) A hundred and eighty-three officers, however, had four or more complaints against them, forty- four officers had six or more complaints, sixteen had eight or more, and one had sixteen complaints. If you were to graph the troubles of the LAPD, it wouldn’t look like a bell curve. It would look more like a hockey stick. It would follow what statisticians call a power law distribution – where all the activity is not in the middle but at one extreme.

The Christopher Commission’s report repeatedly comes back to what it describes as the extreme concentration of problematic officers. One officer had been the subject of thirteen allegations of excessive use of force, five other complaints, twenty-eight “use of force reports” (that is, documented internal accounts of inappropriate behavior), and one shooting. Another had six excessive-force complaints, nineteen other complaints, ten use-of-force reports, and three shootings. A third had twenty-seven use-of-force reports, and a fourth had thirty-five. Another had a file full of complaints for doing things like “striking an arrestee on the back of the neck with the butt of a shotgun for no apparent reason while the arrestee was kneeling and handcuffed,” beating up a thirteen-year-old juvenile, and throwing an arrestee from his chair and kicking him in the back and side of the head while he was handcuffed and lying on his stomach.

The report gives the strong impression that if you fired those forty-four cops, the LAPD would suddenly become a pretty well-functioning police department. But the report also suggests that the problem is tougher than it seems, because those forty-four bad cops were so bad that the institutional mechanisms in place to get rid of bad apples clearly weren’t working. If you made the mistake of assuming that the department’s troubles fell into a normal distribution, you’d propose solutions that would raise the performance of the middle – like better training or better hiring – when the middle didn’t need help. For those hard-core few who did need help, meanwhile, the medicine that helped the middle wouldn’t be nearly strong enough.

In the 1980s, when homelessness first surfaced as a national issue, the assumption was that the problem fit a normal distribution: that the vast majority of the homeless were in the same state of semipermanent distress. It was an assumption that bred despair: if there were so many homeless, with so many problems, what could be done to help them? Then, in the early 1990s, a young Boston College graduate student named Dennis Culhane lived in a shelter in Philadelphia for seven weeks as part of the research for his dissertation. A few months later he went back and was surprised to discover that he couldn’t find any of the people he had recently spent so much time with. “It made me realize that most of these people were getting on with their own lives,” he said.

Culhane then put together a database – the first of its kind – to track who was coming in and out of the shelter system. What he discovered profoundly changed the way homelessness is understood. Homelessness doesn’t have a normal distribution, it turned out. It has a power-law distribution. “We found that eighty percent of the homeless were in and out really quickly,” he said. “In Philadelphia, the most common length of time that someone is homeless is one day. And the second most common length is two days. And they never come back. Anyone who ever has to stay in a shelter involuntarily knows that all you think about is how to make sure you never come back.”

The next 10 percent were what Culhane calls episodic users. They would come for three weeks at a time, and return periodically, particularly in the winter. They were quite young, and they were often heavy drug users. It was the last 10 percent – the group at the farthest edge of the curve – that interested Culhane the most. They were the chronically homeless, who lived in the shelters, sometimes for years at a time. They were older. Many were mentally ill or physically disabled, and when we think about homelessness as a social problem – the people sleeping on the sidewalk, aggressively panhandling, lying drunk in doorways, huddled on subway grates and under bridges – it’s this group that we have in mind. In the early 1990s, Culhane’s database suggested that New York City had a quarter of a million people who were homeless at some point in the previous half decade – which was a surprisingly high number. But only about twenty-five hundred were chronically homeless.

It turns out, furthermore, that this group costs the health-care and social-services systems far more than anyone had ever anticipated. Culhane estimates that in New York at least $62 million was being spent annually to

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