Mathematical Truth
I was introduced to tipping points while sea kayaking in Washingtons Puget Sound. Against the advice of my more-experienced partner, I stood up in my kayak to climb onto a concrete sea wall. In the blink of an eye, I was upended in the water. My partner understood the physics of our boatsthe mathematical relationship that determines how far my center of gravity can stray from the boats mid-point axis without irreversible results. But I ignored her advice, choosing to rely on my youthful sense of balance. She was right; I was all wet. In the summer of 1984, in a coastal Maine lobster shack, population biologist Russell Lande scrawled several equations on a buttery napkin to answer my question: Would protecting 5 percent of the spotted owls old-growth forest habitat, as the U.S. Forest Service proposed, ensure the owls survival? His equations said nomuch more forest would have to be saved. Pointing a lobster claw at one indecipherable equation, Lande told me, Theres a tipping point here; spotted owls wont decline proportionally as habitat is lost. He explained that well before all old growth is logged, the spotted owls population would crash. We cant tell exactly when that point will be reached, he said, but we do know that by the time it arrives, it will be too late to prevent the spotted owls extinction. Lande explained that the spotted owls tipping point is inherent in this species biology (and many others, too). Young spotted owls must find old-growth forest territory at a rate greater than mature owls die to sustain the population. The number of young produced and their ability to establish themselves is related to the number of suitable nesting areas spread throughout the landscapemore owl territories mean more young owls born and an easier time for each owl to find a home. As habitat is lost to logging or fire, fewer young owls are born, and each one that hatches faces a tougher task finding a place to live. There is also a lag effectthe spotted owl will continue to decline even after habitat loss is halted. The spotted owls biology is much like our planets climate. Each functions according to mathematical truths. We may not have precise data or know in detail all the mathematical relationships that link our atmosphere with the earths vegetation and oceans. But we understand the arithmetic principles well enough to make accurate predictions. These forecasts show that our planet faces tipping points that make the spotted owls crisis pale in comparison. The worlds great ice sheets are melting, which will result in dramatic sea level increases. Amazon rain forests are converting to savannah. Each is a predictable consequence of increases in carbon dioxide from fossil fuel burning. These consequences are based on mathematics, not speculation, ideology or politics. We know what will happen even if we dont know precisely when it will happen. The spotted owls tipping point catalyzed a revolution in national forest policy away from logging ancient forests and toward their protection. Thoughtful scientists and forest managers understood the canary-in-the-coal-mine warning implicit in the spotted owls population collapse. Now more than ever, we need to elect people to office who understand our planets tipping points. We need to take the actions demanded by the mathematics of climate science to save our planets habitabilitystop worldwide deforestation, cease building coal-fired power plants and ensure that through the marketplace, carbon-based energy pays the full environmental cost of its use. We must do so because the mathematics of climate change is as irrefutable as a kayaks tipping point. |