George Habash, a militant and former secretary-general of the Popular Front for the Liberation of Palestine, once characterized terrorism as a "thinking man's game." Using mathematics, researchers at Stanford University's Center for International Security and Cooperation (CISAC) have made fighting terrorism a thinking man's game as well.

CISAC affiliate Lawrence M. Wein of the Graduate School of Business and CISAC Science Fellow Jonathan Farley are both applying mathematical models to homeland security problems, such as preventing a nuclear detonation in a major U.S. city and determining whether terrorist cells have likely been disrupted.

Wein, who teaches operations classes about different business processes used to deliver goods and services, has focused his research on bioterrorism and border issues. He has performed, he says, the first mathematical analyses of hypothetical botulism poisoning, anthrax outbreaks and smallpox infections.

"One overriding theme of my work is that all these homeland security problems are operations problems," said Wein, the Paul E. Holden Professor of Management Science. "Just as McDonald's needs to get hamburgers out in a rapid and defect-free manner, so too does the government have to get vaccines and antibiotics out and test the borders for nuclear weapons or terrorists in a rapid and defect-free manner."

In collaboration with Stephen Flynn of the Council on Foreign Relations, a nonpartisan research center, Wein recently has conducted research to improve security at U.S. borders and ports. Port security has received significant attention recently owing to the furor over Dubai Ports World's bid to manage six terminals at major U.S. harbors. The aim of Wein and Flynn's work is to prevent terrorists from bringing into the country a nuclear weaponbe it an atomic bomb or a so-called "dirty bomb," or conventional explosive packed with radioactive waste.

"Of all the problems I've studied, this is the most important because the worst-case terrorist scenario is a nuclear weapon going off in a major U.S. city and also it is the one the government has dropped the ball on the most," Wein said. "They have done a very poor job."

Instead of using the existing approach, where U.S. Customs actively inspects a minority of containers based on information from a specialized tracking system designed to identify suspicious containers, Wein and Flynn have recommended the government use a multi-layer, passive screening system for every container entering the country. Under their system, Customs would photograph a shipping container's exterior, screen for radioactive material and collect gamma-ray images of the container's contents. If terrorists shielded a bomb with a heavy metal such as lead to hide it from radiation detectors, gamma-ray imaging would allow inspectors to see the shielding and flag the container for inspection. Wein and Flynn believe this whole process would cost about $7 per container.

"Right now about maybe 6 percent of the containers are deemed suspicious and they will go through some testing and the other 94 percent of the containers just waltz right into the country without an inspector laying an eye on them," Wein said. "What we're proposing to do is 100 percent passive testing."

Wein's earlier work addressed a different threat: bioterrorism. In 2005, Wein revealed the nation's milk supply was vulnerable--a terrorist could potentially poison 100,000 gallons of milk by sneaking a few grams of botulinum into a milk tanker. Although the government and dairy industry have collaborated to intensify the heat pasteurization formula for milk, Wein is still pushing for additional botulinum testing, which he says would cost less than 1 percent of the cost of milk.

Wein also has used math to study smallpox outbreaks, the U.S. fingerprint identification system and U.S.-Mexico border security issues. Wein's congressional testimony on the fingerprint identification system in 2004 led to a switch from a two-finger system to a 10-finger system. His 2003 research on anthrax attacks resulted in a Washington, D.C., pilot program to use the U.S. Postal Service to distribute antibiotics throughout the capital after an outbreak. Seattle is now testing a similar program.

"In Washington, D.C., now, if there is a large-scale anthrax attack, postal workers will be the first to get their Cipro and, on a voluntary basis, they will go door-to-door distributing antibiotics," Wein said.

He said the common thread throughout his research is queuing theory, or the mathematical study of waiting lines, but he also draws upon mathematical epidemiology for his smallpox studies; air dispersion models for the anthrax model; supply chain management for the milk study; probability theory for the fingerprint identification system; and models for nuclear transport and detection for his work with containers.

From tainted lactose to lattice structures

While Wein is working on improving the government's counterterrorism systems, Jonathan Farley is working to figure out when terrorist organizations have been effectively disrupted. His mathematical model is designed to help law enforcement decide how to act once they have captured or killed a terrorist or a number of terrorists in a cell.

A professor at the University of the West Indies who will chair the Department of Mathematics and Computer Science there next year, Farley is on a one-year science fellowship at CISAC. In 2003, he co-founded Phoenix Mathematical Systems Modeling Inc., a company that develops mathematical solutions to homeland security problems.

He is using lattice theory--a branch of mathematics that deals with ordered sets--to determine the probability a terrorist cell has been disrupted once some of its members have been captured or killed.

"Law enforcement has to make decisions about what resources they should allocate to target different cells," Farley said. "The model should provide them with a more rational basis for allocating their scarce resources. ... It will inform you when you're making decisions about how much time and effort and how much money you're going to spend going after a particular cell."

While at Stanford, Farley hopes to unearth the perfect structure, mathematically speaking, for a terrorist cell--or in other words, a cell structure that is most resistant to the loss of members.

"If it's possible to determine the structure of an ideal terrorist cell, you can focus on a much smaller number of possibilities, because it makes more sense to assume the adversary is going to be smart rather than stupid," Farley said.

Farley has suggested it is possible Al-Qaida and other terrorist organizations already may have figured out the perfect structure for a terror cell by trial and error.

"I don't expect Osama bin Laden to be reading lattice theory in his caves in Afghanistan," said Farley. "But if it follows from the mathematics, perhaps heuristically, the terrorists will have come to the same conclusion--that this is the best way to structure a terrorist cell."

Although Farley acknowledges his model is not a panacea for terrorism, he hopes it will help reduce guesswork that might be involved in pursuing terrorists.

"It's not that I think mathematics can solve all of these problems," Farley said. "Because it can't. But it's better to use rational means to make decisions rather than guesswork."

John B. Stafford is a science-writing intern at Stanford News Service.

At a time of unusual US interest in south Asia it is useful to see how specialists there look at the two issues explored in this book -- the Kashmir conflict and south Asian nuclearisation. Twelve of the 15 contributors are US-based and therefore it is not surprising that the book is largely by Americans for Americans. But this does not detract from its value for Indians and Pakistanis, because the scholarship is impressive and analyses mostly free of bias. The volume contains 13 essays including a short introductory one by the editors. The remaining 12 are grouped into three parts.

The four essays in the first group (Pakistan: Politics and Kashmir) are "Islamic Extremism and Regional Conflict in South Asia" by Vali Nasr, "Constitutional and Political Change in Pakistan: The Military-Governance Paradigm" by Charles H. Kennedy, "The Practice of Islam in Pakistan and the Influence of Islam in Pakistani Politics" by C. Christine Fair and Karthik Vaidyanathan, and "Pakistan's Relations with Azad Kashmir and the Impact on Indo-Pakistani Relations" by Rifaat Hussain.

Vali Nasr provides a succinct account of how Islamic fervour and Islamic extremism grew in Pakistan after 1971 and how political players in the country, especially the army, tried to make use of it for domestic political and foreign policy gains. He provides a good analysis of how the Pakistani elite is torn between de-emphasising Islam for the sake of socioeconomic gains and stressing it for political advantage. In case of the army there is the additional factor of "jihadi" usefulness in pursuing regional strategic aims.

Charles Kennedy presents an interesting analysis of how the army captures power and holds on to it. He shows how Ayub Khan, Zia-ul-Haq and Musharraf have adopted essentially the same approach in this regard -- following the stages of making things legal, eliminating political opponents, becoming president, stressing local government, intimidating bureaucracy and judiciary, fixing the constitution and orchestrating elections. Two key observations he makes at the end are "the failure to develop a stable constitutional system is the fault of both Pakistan's military and civilian leadership" and that "constitutional stability can only be achieved if there is an accommodation between the interests of the two sets of actors."

Christine Fair and Karthik Vaidyanathan have tried to assess the influence of Islam in Pakistan partly on the basis of three polls conducted to gauge Muslim reaction to war against terrorism, and partly on the basis of interviews. Two noteworthy conclusions of the authors are that there is little popular support for extremist Islam in Pakistan (the good performance of MMA in the 2002 elections is rightly attributed to the political vacuum created by Musharraf and strong post-9/11 anti-Americanism), and that the Pakistan military's current effort to control, rather than eradicate, terrorism cannot work.

Rifaat Hussain has given a detailed account of India-Pakistan relations during 1979-2004, but his effort to explain Pakistan's relations with "Azad" J and K does not go beyond the little that is generally known. The lack of detailed, unbiased information about the society and politics of "Azad" J and K, which Pakistan pretends is not under its thumb, and of northern areas, which Pakistan has unabashedly incorporated into itself, is a major knowledge-gap that handicaps the search for peace in J and K.

The four essays in the second group (India: Politics and Kashmir) are "Who Speaks for India? The Role of Civil Society in Defining Indian Nationalism" by Ainslie T. Embrie, "Hindu Nationalism and the BJP: Transforming Religion and Politics in India" by Robert L. Hardgrave Jr., "Hindu Fundamentalism, Muslim Jihad and Secularism: Muslims in the Political Life of the Republic of India" by Barbara D Metcalf, and "Jammu and Kashmir in the Indian Union: Politics of Autonomy" by Chandrashekhar Dasgupta.

In his essay Ainslie Embrie has tried to explicate the complex relationship between the state and civil society in India. The tension and overlap between secular and Hindu nationalisms have been presented with deep understanding. The Gujarat massacres of 2002 have been explained in relation to the various constituents of the Sangh parivar. Indian attitudes to matters of sub-nationalism have been explained not only in relation to Kashmir but also to the north-east and Punjab.

Robert Hardgrave's essay covers much the same ground although the focus is more squarely on the BJP and the RSS. He speaks of sections within the RSS that want to align "Hindu" India with the west against Islam. At the same time he underscores how the demands of power have moderated the ideological temper of the BJP. Both Embrie and Hardgrave have written with western readers in mind and much of the ground they have covered would be familiar to Indians.

Barbara Metcalf's essay about Muslim Indians draws attention to the fact that the post-9/11 war against terrorism evoked no response from them, unlike the case with Muslims elsewhere. She has explained thoughtfully the reasons for this as well as for the rise in anti-Muslim sentiments in India from the 1980s. The contents of this essay can provide useful insights to Indians and Pakistanis. Metcalf warns that Hindu extremism can help recruit Muslim terrorists in Pakistan and Bangladesh and, in the long run, possibly within India itself. She also makes a case for declaring organisations like the VHP "terrorist" in the light of Gujarat killings.

Chandrashekhar Dasgupta's essay on J and K and autonomy is "balanced" by Indian standards. He writes that New Delhi should "accommodate Kashmiri demands for autonomy to the maximum extent compatible with the legitimate regional interests of Jammu and Ladakh and with the requirements of democracy and good governance in the state as a whole. The interests of Jammu and Ladakh can be protected by a mix of regional autonomy; devolution of power to lower (district, sub-divisional and panchayat) levels; and an equitable inter-regional revenue-sharing formula." But while offering this sound advice, Dasgupta has carefully steered clear of examining its practical implications.

The four essays in the final group (India's and Pakistan's Nuclear Doctrines and US Concerns) are "The Stability-Instability Paradox: Misperception, and Escalation Control in South Asia" by Michael Krepon, "Pakistan's Nuclear Doctrine" by Peter R. Lavoy, "Coercive Diplomacy in a Nuclear Environment: The December 13 Crisis" by Rajesh M. Basrur, and "US Interests in South Asia" by Howard B. Schaffer. In the reviewer's view, this is the most interesting of the three sections in the book and merits careful reading in both India and Pakistan.

Michael Krepon has explored the ramifications of the use of force by south Asia's nuclear-armed adversaries. He stresses the danger emanating from the two sides drawing (largely for public consumption, in the reviewer's view) opposing lessons from tests-of-will like the Kargil war and Operation Parakram. A useful point to note is how Krepon has, over the years, shifted stress from nuclear confidence building measures(CBMs) to conflict resolution in reducing nuclear risks in south Asia. This can be seen from the following sentences in his concluding paragraph: "Much could go badly wrong on the subcontinent unless Pakistan's security establishment reassesses its Kashmir policy and unless New Delhi engages substantively on Islamabad's concerns and with dissident Kashmiris" and "The best chance of defusing nuclear danger and controlling escalation lies in sustained and substantive political engagement." Nuclear CBMs can only do so much.

Nuclear Doctrine

Peter Lavoy's essay is a good piece on Pakistan's nuclear doctrine. He has listed eight separate "uses" for Pakistan's nuclear weapons. In specific relation to India, there are four, viz (i) Last resort weapons to prevent military defeat or loss of territory; (ii) Deterrent to conventional military attack; (iii) Facilitators of low-intensity conflict; and (iv) Tools to internationalise the Kashmir issue. He has drawn attention to the fact that Pakistan's nuclear "redlines" are vague which, the reviewer might add, is true of all countries that reserve the right of "first use."

Rajesh Basrur's essay is about the coercive and nuclear dimensions of Operation Parakram. His narrative of events, diplomatic moves and public statements is valuable for separating chaff from wheat. He has drawn attention to how much India's "compellence strategy" was played out through the US, which had forces in close vicinity. During the confrontation both India and Pakistan sought to "create a fear of nuclear war in the global community, especially the US". He also highlights the fact that India decided to withdraw its forces when Pakistan ceased "responding" to Indian pressure.

The book has no conclusion. The last essay is by Howard Schaffer on US interests in south Asia. Schaffer writes about how the relatively low US interest in the India-Pakistan hostile relationship began to climb in the 1980s when the threat of nuclear war entered the calculus. He says "The US has now come to regard Kashmir less in terms of the equities of the issue -- the lot of the Kashmiri people, the morality or immorality of the insurgency in the Kashmir Valley. Instead it sees the dispute primarily as a tinderbox that could be the flashpoint of a nuclear conflagration." He concludes his essay with the comment that "Washington's view of US interests in the region and the way it goes about promoting them" is unlikely to become more consistent than in the past. Both are valid observations and Indians and Pakistanis would do well to mull over their many implications.

It is not stated in the book, but this volume had its beginnings in a conference at the Asia-Pacific Research Centre in Stanford in early 2003. This was soon after Operation Parakram and before India-Pakistan relations began to thaw in late 2003. Although contributors have updated their narratives to mid-2004, the milieu in which the arguments have evolved was a period of considerable tension. The peace possibilities that have opened up in early 2004 and have got slowly augmented since have, therefore, not been adequately factored in. The book has avoided making any kind of prediction about peace prospects in south Asia although the very title of the book leads the reader to expect some exploration in this area.