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Marc F. Bellemare Posts

A Fool’s Errand? The Inverse Productivity Relationship Reconsidered

That’s the title of a new working paper my brilliant student Ling Yao (she is on the market this year, and she will make a great hire for anyone looking for someone working on agricultural economics, labor economics, agribusiness, applied econometrics, or a combination thereof) and I put the finishing touch to this past weekend.

Here is the abstract, with what strikes me as the most exciting things about this paper in boldface font:

An inverse unconditional relationship between farm or plot size (e.g., hectares) and productivity (e.g., kilograms per hectare) is often observed in low- and middle-income countries that appears to be at odds with economic theory. The traditional approach to studying the inverse relationship regresses yield (i.e., output divided by size) on size as well as control variables, testing the null hypothesis that the coefficient on size is zero. We first show that in many circumstances, the relevant null hypothesis is misspecified because the estimand cannot be zero. Moreover, because size appears on both sides of the equation—indirectly on the left-hand side as denominator, and directly on the right-hand side as a measure of size—inherent issues arise with the identification of the relationship between size and productivity. Specifically, any unobserved production factor, even if independent from size, will introduce bias in the estimated coefficient. We next highlight persistent methodological flaws and contradictions in the literature on the inverse size–productivity relationship, discussing how better controls and more precise measurements are unlikely to ensure unbiased estimates. We further identify the stringent requirements that need to be satisfied to correctly estimate the relationship. Finally, we conduct a meta-analysis of the literature on the inverse relationship, discussing the evolution of empirical specifications and documenting evidence of publication bias in favor of negative and significant estimates of the relationship between size and productivity.

Ars longa, vita brevis. This paper is the fruit of several years of thinking. I remember working on early analytical derivations during the summer of 2018, trying to overcome jetlag while in Tokyo to teach a short course at Waseda University. This paper is also a contribution to a literature that is both old and new. Next year will mark the hundredth anniversary of A.V. Chayanov documenting the existence of an unconditional inverse relationship between farm size and productivity in Russia. But as we document in our meta-analysis, the number of studies on the inverse relationship has practically exploded since 2010. And over the last 100 years, the inverse relationship has captivated the attention of many researchers, including that of a Nobel laureate.

Survey Ordering and the Measurement of Welfare

At long last, my article with Wahed Rahman and Jeff Bloem titled “Survey Ordering and the Measurement of Welfare” has been published open access in the Journal of the Economic Science Association.

Here is the abstract:

“Economic policy and research rely on the accurate measurement of welfare. In nearly all instances, measuring welfare requires collecting data via long household surveys. If survey response patterns change over the course of a survey to introduce measurement error, this measurement error can be either classical (i.e., changing distributions, leading to noise) or non-classical (i.e., changing expectations, leading to bias). We embed an experiment in a survey by randomly assigning a questionnaire with either the assets module near the beginning of the survey or the assets module at the end of the survey, delaying enumeration of assets by about 60 minutes. We find no evidence in the full sample that survey ordering introduces differential response patterns, either in the number of reported assets or the reported value of those assets. In exploratory analysis of heterogeneity, we find evidence of non-classical measurement error due to survey ordering within sub-samples of respondents who (i) are from larger households or (ii) have low levels of education. Our experimental design can be generalized to serve as an ex-post test of data quality with respect to questionnaire length.”

Writing Matters

Having spent last weekend in in my hometown for the Canadian Economics Association/Canadian Agricultural Economics Society annual meetings, I was asked by a classmate from way back to give a short talk about writing in economics (especially for people for whom English is a second language) to the participants of a writing retreat for economics graduate students across all four of Montreal’s universities.

Here are the slides of that short talk, in which I tried to go beyond what I had already said in Doing Economics.