The refugee crisis in the Middle East, especially from Syria, and Europe has been a top news story for many weeks now. The coverage has been extensive and the below graphic is compliments of USA Today.
There have also been news articles that have included interviews with refugees who do not want to go to specific countries.
This crisis with the suffering children and families risking their lives and giving up their countries in order to escape war and strife resonates with everyone and it has become also a humanitarian crisis because of the extraordinary numbers of refugees. The crisis has been called by some Europeans as the biggest one since World War II.
In reading about the crisis and also taking to many European friends and researchers as well as practitioners about it I could not help but go back to some of my earlier work on human migration networks.
Many of my doctoral students come from different countries and, ultimately, they settle somewhere as either academics or industry professionals. My second doctoral student, Jie Pan, whose dissertation I co-supervised with Professor Alexander Eydeland, was from China and he was brilliant. In fact, his English was so good that he ended up teaching math courses at Amherst College. His dissertation was titled: "Variational inequalities in the modeling and computation of spatial economic equilibria: Structural reformulations and the method of multipliers," Department of Mathematics and Statistics, University of Massachusetts Amherst, 1992. We published papers in Operations Research, Operations Research Letters, and the European Journal of Operational Research.
Together we also did a lot of work on human migration networks. My first paper on the topic was published in Economic Letters. Since I was always fascinated by transportation and networks, studying migration was a natural application for me (and I was born in Canada so I am also a migrant, in a sense). In that paper, however, there were no costs associated with migration, which is actually a huge issue especially now in terms of the refugee crisis. I followed up with several papers in which migration costs were introduced as well as class transformations.
With Jie Pan, we wrote a paper that modeled migration as a chaining phenomenon and also integrated Markov chains and variational inequalities. In essence, humans can continue to migrate, which we expect to see in the migration crisis in the future. If those who locate in a certain location are not happy, then they will eventually move if the costs associated with migration are not too high relative to the utility gain. Humans compare the utilities of where they are at with the utility of another destination and include also the "transportation" or translocation cost in making their decisions. Our paper, "Using Markov chains to model human migration in a network equilibrium framework," was published in Mathematical and Computer Modelling and, propitiously, today, I found out that the journal has made the paper available online for free, which is great.
We established in this paper that a stable population distribution is shown to exist under certain assumptions.
Other operations researchers, who have a passion and inquisitiveness as to how people move in the long-term and where they settle, have also used our variational inequality framework to build other human migration network models.
Sadly, Jie Pan died at age 36. He had been diagnosed with lupus and traveled for treatment to China where he passed away. He had achieved promotion and tenure at St. Joseph's University in Philadelphia. I also co-authored a paper with him (posthumously) while I was a Fellow at Radcliffe on evolution variational inequalities, projected dynamical systems, and human migration. The world lost a brilliant operations researcher, husband, and father.
Amazingly, the work that we did on human migration networks is now being used also in ecology especially in the case of the migration of fish!