Wolfram Schlenker of our economics department is presenting this paper by himself and Michael Roberts on the effects of climate change. The talk is this Thursday, 11:30-1, in 717 IAB. Here’s the abstract:
There has been an active debate whether global warming will result in a net gain or net loss for United States agriculture. With mounting evidence that climate is warming, we show that such warming will have substantial impacts on agricultural yields by the end of the century: yields of three major crops in the United States are predicted to decrease by 25-44% under the slowest warming scenario and 60-79% under the most rapid warming scenario in our preferred model. We use a 55-year panel of crop yields in the United States and pair it with a unique fine-scale weather data set that incorporates the whole distribution of temperatures between the minimum and maximum within each day and across all days in the growing season. The key contribution of our study is in identifying a highly non-linear and asymmetric relationship between temperature and yields. Yields increase in temperature until about 29C for corn and soybeans and 33C for cotton, but temperatures above these thresholds quickly become very harmful, and the slope of the decline above the optimum is significantly steeper than the incline below it. Previous studies average temperatures over a season, month, or day and thereby dilute this highly non-linear relationship. We use encompassing tests to compare our model with others in the literature and find its out-of-sample forecasts are significantly better. The stability of the estimated relationship across regions, crops, and time suggests it may be transferable to other crops and countries.
50% declines in crop yields–that’s pretty scary! Getting to the statistics, Schlenker points out that weather can be considered as a natural experiment with effects on crop yields, but that if effects are nonlinear, you can’t just use broadly spatially- and time-aggregated weather.
My main substantive question would be about potential effects of mitigation (such as switching crops). Also here are some specific comments (bearing in mind that I haven’t had a chance to look at the paper in detail):
– I can’t believe it’s a good idea to fit 6th-order polynomials. I mean, if you want a 6-parameter family, why polynomial? I’d think a spline would make more sense.
– The tables should be graphs. Really really really. Tables 1 and 2 should be a series of line plots with temperature on the x-axis. This is a gimme. Tables 3-9 should be displayed graphically also. In addition, temperature should be per 10 degrees so that the coefs are more interpretable, also (if you must use a table) use fewer significant figs. Precip should also be on a more interpretable scale (you can see the problem by noting the tiny coef on Precip squared).
– The color scheme in Fig 1 should be fixed. In particular, it’s not clear if Florida is Interior or Irrigated. Also, the caption says “counties” but the graph seems to be of states.
– The county maps are pretty. Would be improved by either eliminating the borders between counties or making them very very light gray. As it is, they interfere with the gray scheme. Also, I’d remove the N/A counties entirely, rather than coloring them in white, which looks too much like one of the colors in the map.
Finally–and most importantly–the figures are ok but what’s missing is a check that the models fit the data. The paper makes a strong substantive claim that might very well be disputed, so I recommend trying to do some of these checks right away: I’d like to see some plots of the data, along with plots of replicated data under the model to reveal what aspects of data are not being captured.
One thing that might be helpful would be to make these model-checking plots, first for a linear model of the form implicitly fit by others, then using the current model, to see the improvement in fit.