-- It almost feels these days as if there is no safe place – that after global jihad strikes a Nairobi shopping mall or a deranged shooter invades the Washington Navy Yard, the next target could very well be our own store, school, theater or stadium.

Yet those who study such violence have a message: Don't worry.

Even though anxiety is a natural response to pervasive and frightening media images of carnage, they say, statistics indicate that most of the world has never been safer.

"Vivid images and memories of these images are used to make judgments about the overall likelihood of dangerous events." says Robert Kraft, a psychology professor at Otterbein University. In fact, "these horrific events are no more likely today than they were yesterday or 10 years ago."

Says David Schanzer, a Duke University professor who directs the Triangle Center on Terrorism and Homeland Security: "Since 9/11, you are far more likely to drown in your bathtub than be killed by terrorists in the United States."

Worldwide, as regular bombings persist in a few unstable countries like Iraq, Afghanistan or Libya, the terrorism trend is less clear. The number of annual fatalities has fluctuated over the past few decades, according to figures compiled by the National Consortium for the Study of Terrorism and Responses to Terrorism at the University of Maryland.

Global terrorism deaths as defined by the consortium reached almost 11,000 in 1984, then dipped before approaching 11,000 again in 1997. Deaths fell once more before rising in the aftermath of Sept. 11, 2001. There were 3,144 killings in 2003, then 12,761 in 2007. In 2012, after the consortium made its data collection more comprehensive, it counted 15,514 deaths from terrorism – mostly in about 10 countries.

The Nairobi attack, by the fanatic Somali Islamic group al-Shabab, stood out. It touched points across the globe, killing at least 60 civilians from countries including Britain, France, Canada, the Netherlands, Australia, Peru, India, Ghana, South Africa and China. Five Americans were among the nearly 200 wounded.

Al-Shabab is "a threat to the continent of Africa and the world at large," Somali President Hassan Sheikh Mohamud said.

That attack came five days after a man who heard voices brought a shotgun through Navy Yard security and killed 12 people. It was the latest in a series of mass shootings, which are defined as killing four or more people: the December massacre of 26 in Newtown; 12 slain in a Colorado movie theater; other 2012 killings at a café, temple, sauna, colleges.

"What troubles us so deeply as we gather here today is how this senseless violence that took place here in the Navy Yard echoes other recent tragedies," President Barack Obama said at a memorial service.

That's not to mention the narrowly averted disasters: a man arrested this week on a charge he planned to shoot up a Salt Lake City mall; a gunman last month who was talked into laying down his weapon after invading a Georgia school.

Yet chances of being killed in a mass killing are probably no greater than being struck by lightning, according to Grant Duwe, a criminologist with the Minnesota Department of Corrections who has written a history of mass killings in America. He says mass killings peaked in 1929 and have dropped in the 2000s.

Over the past 30 years, the United States has steadily averaged about 20 mass killings each year, according to James Alan Fox, a Northeastern University criminology professor who studies such events.

Despite these statistics, it can still feel as if the whole world is a battlefield, says Meg Mott, a professor of political theory at Marlboro College.

In the global war on terrorism, "there is no separation between battlefields and civic life," Mott said in an email. And it's not clear who is fighting whom: "Is it the West against Islam? The Free World against Terrorists? The Good Guys against the Bad Guys?"

People once assumed they were safe as long as their nation wasn't being invaded, Mott says, but "that world no longer exists."

The response to the heightened sense of danger is ongoing and widespread.

Israelis are long accustomed to armed guards and bag searches, while Londoners often struggle to find trash cans – many were removed from the capital after Irish terrorists started using them to hide bombs. In America, there are more armed guards in schools, and even some armed teachers. Police cars are parked outside of movie theaters. Sports venues are allowing fewer bags inside. Companies are marketing new products – the Bullet Blocker kid backpack; the First Command emergency alert system; the TraumAid-SRK-S School Survival and Rescue Kit.

John Phelps, president of the Risk Management Society, says more businesses around the world are using sophisticated models to assess the likelihood of physical or computer-based attacks.

"Twenty years ago that wasn't happening," Phelps says.

So is there more risk today? "I'm not exactly sure that's true," he says.

He recalls the assassinations of the 1960s, the rampant hijacking of airplanes in the 1970s, the bombing of Beirut barracks and the midair destruction of a Pan Am airliner in the 1980s.

"Today, news can live in social media for a long time," Phelps says. "You didn't have cable TV news back then. So it's a different period in communication, which may make it appear to some people that the threats have increased."

Magnus Ranstorp, research director of the Center for Asymmetric Threat Studies at the Swedish National Defense College, says the location of attacks can increase the sense of vulnerability.

"That's why the attack in Kenya is so serious," he says. "It's a commercial hub, and a major tourism hub, so tranquility has been shattered, the perception of safety has been shattered in a very brutal way, especially because this was directed against Westerners."

All of which creates an atmosphere ripe for even more worries, says Todd Farchione, a professor at Boston University's Center for Anxiety and Related Disorders.

"As soon as you increase unpredictability, and there also is a lack of control, that increases anxiety," he says.

"The probability of something happening is so very low," Farchione says. "But this is the nature of terror and terrorism: It gets in our heads that something could happen. This is the entire idea of terror. It's like this insidious fear that seeps into our mindset."

Kraft, the psychology professor, observes that if people paid closer attention to statistics instead of snap judgments, they might realize how safe they really are.

"For many of us in this country," Kraft says, "our most dangerous activity is by far something we do every day without giving it a second thought: driving a car."

___

Associated Press writers Raphael Satter and Gregory Katz in London contributed to this story.

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    An unidentified woman is reunited at the family gathering site outside parking lot B of Nationals Park, which has been set as a gathering point for families of the Navy Yard shootings in Washington DC on September 16, 2013. The shooting rampage at a Washington naval base claimed at least 12 lives including that of an unidentified gunman, city police chief Cathy Lanier told reporters Monday. Lanier said two more potential suspects were still at large after the shooting at the Washington Naval Yard and that the motive of the shooter or shooters was not yet known. 'We are confirming 12 fatalities. We had a few additional victims who were injured. They were not fatally injured,' she said, briefing reporters on a street by the base. Lanier gave more details on two male suspects seen near the scene of the shooting, a headquarters building within the riverside base, who police are hunting. AFP PHOTO/MANDEL NGAN (Photo credit should read MANDEL NGAN/AFP/Getty Images)

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  • A police boat patrols near the scene of a shooting at the Washington Navy Yard on Monday, Sept. 16, 2013, in Washington. At least one gunman opened fire inside a building at the Washington Navy Yard on Monday morning. (AP Photo/ Evan Vucci)

  • Cathy Lanier

    District of Columbia Police Chief Cathy Lanier briefs reporters on the shooting at the Washington Navy Yard in Washington, Monday, Sept. 16, 2013, where at least one gunman opened fire inside a building at the Washington Navy Yard. (AP Photo/Susan Walsh)

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  • Police respond to the report of a shooting at the Navy Yard in Washington, DC, September 16, 2013. A gunman shot and wounded at least one person Monday in a headquarters building at the US Navy Yard in Washington and is still at large, the navy said.'There is one confirmed injury. Emergency personnel are on scene and a 'shelter in place' order has been issued for Navy Yard personnel,' the navy said in a statement. Local television reported that there were as many as five casualties and the Navy said that police had entered building number 197 in search of the shooter. The Navy said at least three shots were fired at 8:20 am (1320 GMT) in the headquarters building of the Naval Sea Systems Command. AFP PHOTO / Saul LOEB (Photo credit should read SAUL LOEB/AFP/Getty Images)

  • Scene At The Gate Of Navy Yard

  • Police respond to the report of a shooting at the Navy Yard in Washington, DC, September 16, 2013. A gunman shot and wounded at least one person Monday in a headquarters building at the US Navy Yard in Washington and is still at large, the navy said.'There is one confirmed injury. Emergency personnel are on scene and a 'shelter in place' order has been issued for Navy Yard personnel,' the navy said in a statement. Local television reported that there were as many as five casualties and the Navy said that police had entered building number 197 in search of the shooter. The Navy said at least three shots were fired at 8:20 am (1320 GMT) in the headquarters building of the Naval Sea Systems Command. AFP PHOTO / Saul LOEB (Photo credit should read SAUL LOEB/AFP/Getty Images)

  • Outside Navy Yard

  • Police Clear Block

  • Looking Up M Street

  • Members of the military guard a military garage near the Washington Navy Yard where a gunman was reported in Washington, on Monday, Sept. 16, 2013. The exact number of people killed and the conditions of those wounded was not immediately known. (AP Photo/Jacquelyn Martin)

  • A helicopter that has been airlifting people from the top of a building at the Washington Navy Yard circles the area after a gunman was reported at the Washington Navy Yard in Washington, on Monday, Sept. 16, 2013. The exact number of people killed and the conditions of those wounded was not immediately known. About 3,000 people work at the Naval Sea Systems Command headquarters. (AP Photo/Jacquelyn Martin)

  • Police bring in equipment by an anchor outside of an entrance to the Washington Navy Yard where a gunman was reported in Washington, on Monday, Sept. 16, 2013. The exact number of people killed and the conditions of those wounded was not immediately known. About 3,000 people work at the Naval Sea Systems Command headquarters. (AP Photo/Jacquelyn Martin)

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  • Shooting At Washington DC Navy Yard Reportedly Leaves Several Wounded

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