Researchers Find the Tipping Point Between Resilience and Collapse in Complex Systems

Hon­ey­bees have been dying in record num­bers, threat­ening the con­tinued pro­duc­tion of nutri­tious foods such as apples, nuts, blue­ber­ries, broc­coli, and onions. Without bees to pol­li­nate these crops, the envi­ron­mental ecosystem—and our health—stands in the bal­ance. Have we reached the tip­ping point, where the plant-​​pollinator system is due to collapse?

There was no way to cal­cu­late that—until now.

Using sta­tis­tical physics, North­eastern net­work sci­en­tist Albert-​​László Barabási and his col­leagues Jianxi Gao and Baruch Barzel have devel­oped a tool to iden­tify that tip­ping point—for every­thing from eco­log­ical sys­tems such as bees and plants to tech­no­log­ical sys­tems such as power grids. It opens the door to plan­ning and imple­menting pre­ven­tive mea­sures before it’s too late, as well as preparing for recovery after a disaster.

The tool, described in a new paper pub­lished on Wednesday in the pres­ti­gious journal Nature, fills a long­standing gap in sci­en­tists’ under­standing of what deter­mines “resilience”—that is, a system’s ability to adjust to dis­tur­bances, both internal and external, in order to remain functional.

The failure of a system can lead to serious con­se­quences, whether to the envi­ron­ment, economy, human health, or tech­nology,” said Barabási, Robert Gray Dodge Pro­fessor of Net­work Sci­ence and Uni­ver­sity Dis­tin­guished Pro­fessor in the Depart­ment of Physics. “But there was no theory that con­sid­ered the com­plexity of the net­works under­lying those systems—that is, their many para­me­ters and com­po­nents. That made it very dif­fi­cult, if not impos­sible, to pre­dict the sys­tems’ resilience in the face of dis­tur­bances to those para­me­ters and components.”

Our tool, for the first time, enables those pre­dic­tions,” said Barabási, who is also a leader in Northeastern’s Net­work Sci­ence Institute.

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Physics