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- Abstract
- 1 Introduction
- 2 Related Literature
- 3 The Proposed Theory
- 4 Empirical Evidence
- 5 Concluding Remarks
- Supplementary Material
- References

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Rev Econ Stat. Author manuscript; available in PMC 2016 July 1.

Published in final edited form as:

PMCID: PMC4803118

NIHMSID: NIHMS736730

Quamrul Ashraf: ude.smailliw@farhsA.H.lurmauQ; Stelios Michalopoulos: ude.nworb@olahcims

The publisher's final edited version of this article is available at Rev Econ Stat

This research examines the climatic origins of the diffusion of Neolithic agriculture across countries and archaeological sites. The theory suggests that a foraging society’s history of climatic shocks shaped the timing of its adoption of farming. Specifically, as long as climatic disturbances did not lead to a collapse of the underlying resource base, the rate at which hunter-gatherers were climatically propelled to experiment with their habitats determined the accumulation of tacit knowledge complementary to farming. Consistent with the proposed hypothesis, the empirical investigation demonstrates that, conditional on biogeographic endowments, climatic volatility has a hump-shaped effect on the timing of the adoption of agriculture.

The impact of the transition from hunting and gathering to agriculture on the long-run socioeconomic transformation of mankind is perhaps only comparable to that of the Industrial Revolution. Hunting and gathering, a mode of subsistence that entails the collection of wild plants and the hunting of wild animals, prevailed through most of human history. The prehistoric transition from foraging to farming has been referred to as the Neolithic Revolution, a term that captures both the general period in history when the transition took place and the profound socioeconomic changes associated with it.

This research theoretically and empirically examines the diffusion of agriculture. It advances and tests the hypothesis that a society’s history of climatic fluctuations determined the timing of its adoption of farming. The theory suggests that climatic volatility induced foragers to intensify their subsistence activities and expand their dietary spectrum. To the extent that climatic shocks did not eliminate the underlying subsistence resource base, societies that were frequently propelled to exploit their habitats accumulated tacit knowledge complementary to agricultural practices, thereby facilitating the adoption of farming when the technology diffused from the Neolithic frontier. In contrast, extremely volatile or stationary environments were less conducive to the adoption of agriculture. At one end, societies facing static climatic conditions were not sufficiently coerced to take advantage of their habitats. At the other end, extreme climatic shocks (e.g., a return to semi-glacial or arid conditions) prevented the type of ecological experimentation instrumental for the accumulation of knowledge complementary to farming.

The current approach weaves together two distinct influential theories from the archaeological literature regarding the onset of agriculture in the Near East, namely the “Broad Spectrum Revolution” and the “climate change” hypotheses. According to the “Broad Spectrum Revolution” argument, pioneered by Binford (1968) and Flannery (1973), exogenous population growth instigated the exploitation of new species, leading to the deliberate cultivation of certain plants, especially wild cereals, and setting the stage for their domestication (see Weiss et al., 2004, for recently uncovered evidence). On the other hand, proponents of the “climate change” hypothesis, including Byrne (1987), Bar-Yosef and Belfer-Cohen (1989), and Richerson, Boyd and Bettinger (2001), highlight how the advent of agriculture took place as a result of unusual climatic changes in the early Holocene.

Motivated by these two prominent insights, the proposed theory links climatic variability with the more efficient exploitation of existing resources and the inclusion of previously unexploited species into the dietary spectrum. It illustrates the importance of climatic shocks in transforming foraging activities and augmenting societal practices complementary to the adoption of agriculture (expansion of tool assemblages, more intense habitat-clearing and plant-interventionist operations, etc.). The study thus identifies the spatial heterogeneity of regional climatic sequences as a fundamental source of the differential timing of the adoption of farming across regions.

The predictions of the theory are tested using cross-sectional data on the timing of the adoption of agriculture. Consistent with the theory, the results demonstrate a highly statistically significant and robust hump-shaped relationship between the intertemporal standard deviation of temperature and the timing of the Neolithic Revolution. Specifically, the analysis exploits cross-country variation in temperature volatility to explain the variation in the timing of the agricultural transition across countries. Due to the unavailability of worldwide prehistoric temperature data, the analysis employs highly spatially disaggregated monthly time-series data between 1901 and 2000 to construct country-level measures of the mean and standard deviation of temperature over the course of the last century. The interpretation of the empirical results is thus based on the identifying assumption that the cross-regional distribution of temperature volatility during the 20th century was not significantly different from that which existed prior to the Neolithic Revolution. While this may appear to be a somewhat strong assumption, it is important to note that the spatial distribution of climatic factors is determined in large part by spatial differences in microgeographic characteristics, which remain fairly stationary within a given geological epoch, rather than by global temporal events (e.g., an ice age) that predominantly affect the worldwide temporal distribution of climate. Nevertheless, to partially relax the identifying assumption, the analysis additionally employs a volatility measure constructed from new time-series data on historical temperature over the 1500–1900 time period (albeit for a smaller set of countries), uncovering findings that are qualitatively similar to those revealed using temperature volatility over the course of the last century.

Arguably, the ideal unit of analysis for examining the relationship between climatic endowments and the diffusion of farming would be at the human-settlement level rather than the country level. It is precisely along this dimension that the empirical investigation is augmented. Specifically, the analysis employs data on the timing of Neolithic settlements in Europe and the Middle East to explore the role of local, site-specific climatic sequences in shaping the adoption of farming across reliably excavated and dated archaeological sites. Consistent with the predictions of the theory, and in line with the pattern uncovered by the cross-country analysis, Neolithic sites endowed with moderate climatic volatility are found to have transited earlier into agriculture. The recurrent finding that climatic volatility has had a non-monotonic impact on the adoption of farming, across countries and archaeological sites alike, sheds new light on the climatic origins of the Neolithic Revolution.^{1}

In revealing the climatic origins of the adoption of agriculture, this research contributes to a vibrant body of work within economics that has explored the deeply-rooted determinants of comparative economic development (see Spolaore and Wacziarg, 2013, for an excellent review of this literature). Specifically, Diamond (1997) emphasizes that the transition to agriculture led to the rise of civilizations and conferred a developmental head-start to early agriculturalists, via the rapid development of written language, science, military technologies, and statehood. In line with this argument, Olsson and Hibbs (2005) show that geography and biogeography may, in part, predict contemporary levels of economic development through the timing of the transition to agriculture, whereas Ashraf and Galor (2011) establish the Malthusian link from technological advancement to population growth, demonstrating the explanatory power of the timing of the Neolithic Revolution for population density in pre-industrial societies.^{2} Moreover, Galor and Moav (2002, 2007) and Galor and Michalopoulos (2012) argue that the Neolithic Revolution triggered an evolutionary process that affected comparative development, whereas Comin, Easterly and Gong (2010) find that historical technology adoption, largely shaped by the timing of the transition to agriculture, has a significant impact on contemporary economic performance.

By investigating the interplay between climatic fluctuations and technological evolution in the very long run, this study also contributes to a growing body of theoretical and empirical work regarding the relationships between economic growth, technical change, and the environment (e.g., Acemoglu et al., 2012; Dell, Jones and Olken, 2012; Peretto, 2012).

The rest of the paper is organized as follows. Section 2 briefly reviews the economic literature on the origins of agriculture. Section 3 lays out the conceptual framework, followed by a simple model of climatic shocks and the adoption of agriculture. Section 4 discusses the empirical findings from the cross-country and cross-archaeological-site analyses, and, finally, Section 5 concludes.

The Neolithic Revolution has been a long-standing subject of active research among archaeologists, historians, and anthropologists, recently receiving increasing attention from economists. The focus of this study is on the role of climatic shocks in the *adoption* of farming. Nevertheless, the historical and archaeological record on instances of *pristine* agricultural transitions also emphasizes the role of climatic changes in transforming hunter-gatherer activities (see Ashraf and Michalopoulos, 2011, for a detailed summary of complementary research findings among archaeologists, paleoclimatologists, and ethnographers). The brief review below is hardly meant to be exhaustive, and it is mostly indicative of hypotheses advanced by economists with respect to pristine agricultural transitions (see Pryor, 1983, and Weisdorf, 2005, for surveys).

Early work by Smith (1975) examines the overkill hypothesis, whereby the Pleistocene extinction of large mammals, as a consequence of excessive hunting, led to the rise of agriculture. In pioneering the institutional view, North and Thomas (1977) argue that population pressure, coupled with the shift from common to exclusive communal property rights, sufficiently altered rational incentive structures to foster technological progress with regard to domestication and cultivation techniques. Moreover, Locay (1989) suggests that population growth, due to excessive hunting, resulted in smaller land-holdings per household, thereby inducing a more sedentary lifestyle and favoring farming over foraging.

More recently, Marceau and Myers (2006) provide a model of coalition formation where, at low levels of technology, a grand coalition of foragers prevents the over-exploitation of resources. Once technology reaches a critical level, however, the cooperative structure breaks down and ultimately leads to a food crisis that paves the way to agriculture. Focusing on the spread of farming, Rowthorn and Seabright (2010) argue that early farmers had to invest in defense due to imperfect property rights, thus lowering the standard of living for incipient agriculturalists.^{3} In other work, Weisdorf (2003) proposes that the emergence of non-food specialists played a critical role in the transition to agriculture, while Olsson (2001) theoretically revives Diamond’s (1997) argument that regional geographic and biogeographic endowments, with respect to the availability of domesticable species, made agriculture feasible only in certain parts of the world.

Finally, Baker (2008) develops and estimates a model of the transition to agriculture using cross-cultural data on the incidence of farming, finding that cultures located farther from pristine centers of agricultural transition experienced a later onset of farming. The empirical analysis in this study establishes a similar pattern wherein distance to the closest Neolithic frontier has a negative impact on the timing of the transition to agriculture, both across countries and across archaeological sites. The current study is also complementary to recent work by Dow, Olewiler and Reed (2009) that examines the onset of the Neolithic Revolution in the Near East. According to their analysis, a single abrupt climatic reversal forced migration into a few ecologically favorable sites, thereby making agriculture more attractive in these locales.

Before presenting the model, it is useful to briefly review the main elements of the proposed theory and their interplay in transforming the hunter-gatherer regime. As illustrated in Figure 1, moderate climatic shocks increase the risk of acquiring existing resources for subsistence. As a result, hunter-gatherers are forced to experiment with novel food-extraction and processing techniques, thus altering their resource acquisition patterns and incorporating previously unexploited species into their diet. Such transformations in subsistence activities may be manifested as increased investments in tool making, more intense habitat-clearing and plant-management practices, or the development of a more sedentary infrastructure.

The aforementioned transformations permanently enhance society’s knowledge with respect to the collection and processing of a broad spectrum of resources. This is a novel channel for recurrent climatic shocks to gradually increase the set of foraging activities. The main mechanism for the adoption of agriculture is that, given a sequence of non-extreme climatic shocks, the knowledge accumulated from exploiting an ever broader spectrum of resources is complementary to agricultural techniques. Hence, societies endowed with a history of moderate climatic fluctuations are more likely to adopt farming, once the agricultural technology arrives from the Neolithic frontier.

Consider a simple hunter-gatherer economy where activities extend over infinite discrete time, indexed by *t* = 0, 1, 2, … ∞. In each period, the economy produces a single homogeneous final good (food), using a production technology that combines labor with a continuum of intermediate input varieties. These intermediate input varieties may be interpreted broadly as different types of tools and techniques that enable the extraction of different subsistence resources (plant and animal species). Land is not a scarce factor of production in this primitive stage of development, so the quantity of food produced is constrained only by the availability of labor, the breadth of the dietary spectrum, and the intensity with which each subsistence resource is exploited. In every period, individuals are endowed with one unit of time, and the size of the labor force remains constant over time.^{4}

Consider first how food gets produced in this foraging economy when it is climatically unperturbed. Final output at time *t, Y _{t}*, in such an environment is given by:

$${Y}_{t}=\left[\underset{0}{\overset{{N}_{t}}{\int}}{X}_{i,t}^{1-\alpha}di\right]{L}^{\alpha},$$

where α (0, 1); *L* > 0 is the (fixed) size of the labor force; *X _{i,t}* is the amount of intermediate good (the type of tool, for instance) used to acquire resource

Given a climatically static environment, the gross quantity of food per hunter-gatherer at time *t* is:

$${y}_{t}=\underset{0}{\overset{{N}_{t}}{\int}}{x}_{i,t}^{1-\alpha}di,$$

where *y _{t}*

Intermediate inputs fully depreciate every period, and given the primitive nature of the economy, there are no property rights defined over either these inputs or the knowledge required to create and apply them. Once the know-how for creating and applying a new intermediate input (that allows the processing of a new resource) becomes available, anyone in society can produce one unit of that input at a marginal cost of μ > 0 units of food. Hence, the quantity of food per hunter-gatherer at time *t*, net of the cost of producing intermediate inputs, is:

$${\u1ef9}_{t}=\underset{0}{\overset{{N}_{t}}{\int}}{x}_{i,t}^{1-\alpha}di-\underset{0}{\overset{{N}_{t}}{\int}}\mu {x}_{i,t}di.$$

Maximization of net food per forager implies that the quantity demanded of the intermediate input used to acquire resource *i* at time *t, x _{i,t}*, will be the same across the different resource varieties at time

$${x}_{i,t}=\overline{x}\equiv {\left[\frac{1-\alpha}{\mu}\right]}^{\frac{1}{\alpha}}.$$

Thus, in equilibrium, the gross and net quantities of food per hunter-gatherer at time *t* will be:

$${y}_{t}={N}_{t}{\overline{x}}^{1-\alpha};$$

$${\u1ef9}_{t}={N}_{t}{\overline{x}}^{1-\alpha}-{N}_{t}\mu \overline{x}=\alpha {N}_{t}{\overline{x}}^{1-\alpha}.$$

Intuitively, in any given period, the amount of (gross or net) food per forager will be directly proportional to (i) the breadth of the hunter-gatherer dietary spectrum, as reflected in the total number of intermediate input varieties; and (ii) the intensity with which each species is exploited, as reflected in the quantity of the intermediate input used to acquire and process the resource. Furthermore, net output reflects the proportion α of gross output that accrues to labor as food, once the costly production of intermediate inputs has been taken into account.

Suppose now that the environment at time *t* is affected by a deviation of a climatic characteristic (such as temperature) from its long-run intertemporal mean.^{5} Food production now becomes subject to an “erosion effect” due to adverse changes in the subsistence resource base, resulting from this perturbation to the environment.^{6} Specifically, net food per forager is now given by:

$${\u1ef9}_{t}=[1-{\epsilon}_{t}]\underset{0}{\overset{{N}_{t}}{\int}}{x}_{i,t}^{1-\alpha}di-\underset{0}{\overset{{N}_{t}}{\int}}\mu {x}_{i,t}di,$$

where ε_{t} [0, 1) is the size of the erosion at time *t*. Note that the erosion will reduce food per hunter-gatherer both directly and indirectly. The indirect effect arises from the fact that, taking ε_{t} as given, the lower marginal productivity of the intermediate inputs (tools) results in lower quantities of these inputs being used for resource acquisition. In particular, the quantity demanded of the intermediate input used to acquire resource *i* at time *t, x _{i,t}*, will now be:

$${x}_{i,t}=\hat{x}({\epsilon}_{t})={\left[\frac{[1-\alpha ]\times [1-{\epsilon}_{t}]}{\mu}\right]}^{\frac{1}{\alpha}}.$$

The erosion of final output, however, can be mitigated by the reallocation of time (or labor) from food production to experimentation (R&D activities), in an attempt to partially counteract the overall decline in resource abundance. Specifically,

$${\epsilon}_{t}=\epsilon ({e}_{t},{\gamma}_{t}),$$

where *e _{t}* ≥ 0 is the size of the climatic shock; and γ

Thus, under a moderate climatic shock, the equilibrium allocation of labor (between food production and experimentation) will be determined by the trade-off between (i) the benefit of having foragers experiment with new methods of exploiting existing resources, in an effort to overcome the erosion effect; and (ii) the cost of lowering output by diverting hunter-gatherers from food acquisition. Specifically, for *e _{t}* [0,

$${\gamma}_{t}=\underset{{\gamma}_{t}}{\text{argmax}}[1-{\gamma}_{t}]{[[1-\epsilon ({e}_{t},{\gamma}_{t})]\underset{0}{\overset{{N}_{t}}{\int}}{x}_{i,t}^{1-\alpha}di-\underset{0}{\overset{{N}_{t}}{\int}}\mu {x}_{i,t}di]|}_{{x}_{i,t}=\widehat{x}(\epsilon ({e}_{t},{\gamma}_{t}))}.$$

The first-order condition for this problem simplifies to:

$$F({e}_{t},{\gamma}_{t})\equiv [1-{\gamma}_{t}]{\epsilon}_{\gamma}({e}_{t},{\gamma}_{t})+\alpha [1-\epsilon ({e}_{t},{\gamma}_{t})]=0.$$

Given the specified properties of ε(*e _{t}*, γ

$${F}_{\gamma}({e}_{t},{\gamma}_{t})=[1-{\gamma}_{t}]{\epsilon}_{\gamma \gamma}({e}_{t},{\gamma}_{t})-[1+\alpha ]{\epsilon}_{\gamma}({e}_{t},{\gamma}_{t})>0,$$

which ensures the existence of a unique solution to the labor-allocation problem (via the implicit function theorem) for a given *e _{t}*,

$${\gamma}_{t}=\gamma ({e}_{t}).$$

Moreover, the partial derivative of the first-order condition with respect to *e _{t}* is negative,

$${F}_{e}({e}_{t},{\gamma}_{t})=[1-{\gamma}_{t}]{\epsilon}_{\gamma e}({e}_{t},{\gamma}_{t})-\alpha {\epsilon}_{e}({e}_{t},{\gamma}_{t})<0,$$

which, together with *F*_{γ}(*e _{t}*, γ

The analysis now turns to characterize the evolution of the total number of intermediate input varieties (and thus the expansion of the hunter-gatherer dietary spectrum) over time. To this end, suppose that the contemporaneous effort to mitigate climatic risk via experimentation results in intertemporal knowledge spillovers for the development of new varieties of intermediate inputs that facilitate access to new species.^{7} Intuitively, experimentation by hunter-gatherers to improve the productivity of their current toolkit inadvertently generates some technical knowledge for the creation of production methods (new tool varieties) that can be used to incorporate previously unexploited resources into the dietary spectrum. To help fix ideas, suppose that the extent of these spillovers is proportional to the current labor allocation to experimentation. That is,

$$\mathrm{\Delta}{N}_{t}\equiv {N}_{t+1}-{N}_{t}=\eta \gamma ({e}_{t})L,$$

where η > 0. Hence, non-extreme climatic shocks confer permanent “rachet effects” on the breadth of the dietary spectrum over time − a climatic deviation at time *t* will result in a permanent increase in the number of species exploited from time *t* + 1 onward even if the shock is transitory, in the sense that it dissipates completely by time *t* + 1.^{8}

At this stage, the model can be easily applied to link the cross-sectional distribution of the breadth of the dietary spectrum at a point in time with the cross-sectional distribution of climatic history up to that point. Specifically, consider three societies, *A, B*, and *C*, at some arbitrary time *T* > 0, and suppose that they have identical initial conditions (specifically, with respect to the initial number of species exploited, *N*_{0}) but that they differ in their historical sequences of climatic shocks, ${\{{e}_{t}^{i}\}}_{t=0}^{T},i\in \{A,B,C\}$. In particular, for all *t* ≤ *T*, $\u0113>{e}_{t}^{B}>{e}_{t}^{A}=0$, and for some *t* ≤ *T* − 1, ${e}_{t}^{C}>\u0113>{e}_{t}^{B}$, with ${e}_{t}^{C}={e}_{t}^{B}$ for all other *t*. That is, *A* has had a climatically static environment, *B* a history of strictly moderate climatic shocks, and *C* a climatic history similar to *B*, except for at least one period when the deviation in *C* temporarily resulted in extreme climatic conditions. Then, in light of the aforementioned rachet effect associated with non-extreme climatic deviations, it follows that ${N}_{T}^{B}>{N}_{T}^{C}>{N}_{T}^{A}={N}_{0}$. Hence, the number of intermediate input varieties (and, correspondingly, the breadth of the dietary spectrum) at time *T* will be largest in the hunter-gatherer society with the history of strictly moderate climatic shocks.

The final step of the argument involves relating the above result to the differential timing of the adoption of agriculture. To illustrate this link in a parsimonious manner, suppose that in every period, the model foraging economy has the opportunity to costlessly adopt an agricultural production technology from the world technological frontier. Food production using this alternative technology is:

$${Y}_{t}=A({N}_{t}|\u0100)L,$$

where *A*(*N _{t}*|

$$A({N}_{t}|\u0100)=A\times \text{min}\{1,{N}_{t}/\u0100\},$$

where *A* > 0 is sufficiently large to ensure that if *N _{t}* ≥

Consider now the earlier thought experiment with societies *A, B*, and *C*. In light of the setup for the adoption of agriculture discussed above, the likelihood that agriculture will have been adopted by time *T* will be higher in the society with the history of non-extreme climatic shocks (i.e., society *B*) than either the society with the history of climatic stagnation (i.e., society *A*) or the society with historical episodes of extreme climatic disturbances (i.e., society *C*). This reduced-form prediction of the model regarding the non-monotonic (hump-shaped) effect of intertemporal climatic volatility on the timing of the adoption of agriculture is explored empirically in the subsequent section.

This section provides empirical evidence consistent with the proposed theory, demonstrating a statistically significant and robust hump-shaped relationship between measures of the intertemporal standard deviation of temperature and the timing of the Neolithic Revolution across countries. Specifically, the analysis exploits cross-country variation in temperature volatility as well as in other geographic determinants, such as mean temperature, distance to the closest Neolithic frontier (i.e., one of seven localities around the world that experienced a *pristine* agricultural transition), absolute latitude, land area, topographic conditions, and biogeographic endowments, to explain the cross-country variation in the timing of the Neolithic Revolution. Due to the unavailability of worldwide prehistoric temperature data, however, the analysis employs highly spatially disaggregated monthly time-series data between 1901 and 2000 to construct country-level measures of the intertemporal mean and standard deviation of temperature over the last century.^{9}

The monthly time-series data on temperature, 1901–2000, are obtained from the University of East Anglia’s Climate Research Unit’s *CRU TS 2.0* data set, compiled by Mitchell et al. (2004). This data set employs reports from climate stations across the globe, providing 1,200 monthly temperature observations (i.e., spanning a century) for each grid cell at a 0.5-degree resolution. To construct country-level measures of the mean and standard deviation of temperature using this data set, the analysis at hand first computes the intertemporal moments of temperature across monthly observations at the grid-cell level and then averages these moments across grid cells that correspond to a given country.^{10} As such, the volatility of temperature between 1901 and 2000 for a given country should be interpreted as the volatility prevalent in the “representative” grid cell within that country.

The qualitative interpretation of the empirical results is thus based on the identifying assumption that the cross-country distribution of temperature volatility during the 20th century was not significantly different from that which existed prior to the Neolithic Revolution. To relax this assumption somewhat, the analysis also employs a volatility measure constructed from new time-series data on historical temperature over the 1500–1900 time period (albeit for a smaller set of countries), revealing findings that are qualitatively similar to those uncovered using temperature volatility over the last century.

The historical time-series data on temperature are obtained from the *European Seasonal Temperature Reconstructions* data set of Luterbacher et al. (2006), which is based, in turn, on the earlier data sets of Luterbacher et al. (2004) and Xoplaki et al. (2005). These data sets make use of both directly measured data and, for earlier periods in the time series, proxy data from documentary evidence, tree rings, and ice cores to provide seasonal (from 1500 to 1658) and monthly (from 1659 onwards) temperature observations at a 0.5-degree resolution, primarily for the European continent. The current analysis then applies to these data an aggregation procedure, similar to that used for computing the measures of the intertemporal moments of contemporary temperature, in order to derive measures of the intertemporal mean and standard deviation of historical temperature at the country level. It should be noted that, while reliable historical and contemporary temperature data are commonly available for 45 countries (as depicted in the correlation plots in Figures 2 and and3),3), only 25 of these countries appear in the 97-country sample actually employed by the regressions to follow. This discrepancy is due to the unavailability of information on the timing of the agricultural transition and on some of the control variables employed by the regression analyses.^{11}

Consistent with the assertion that the spatial variation in temperature volatility remains largely stable over long periods of time, temperature volatility during the 20th century and that during the preceding four centuries are highly positively correlated across countries, possessing a correlation coefficient of 0.995 in the 45-country sample. This relationship is depicted on the scatter plot in Figure 2, where it is important to note that the rank order of the vast majority of countries is maintained across the two time horizons. Moreover, as depicted in Figure 3, a similarly strong correlation exists between the mean of temperature during the 20th century and that during the preceding four centuries, lending further credence to the identifying assumption that contemporary data on climatic factors can be meaningfully employed as informative proxies for prehistoric ones.

The country-level data on the timing of the Neolithic Revolution are obtained from the data set of Putterman (2008), who assembles this variable using a wide variety of both region-specific and country-specific archaeological studies, as well as more general encyclopedic works on the Neolithic transition, including MacNeish (1992) and Smith (1995).^{12} Specifically, the reported measure captures the number of thousand years elapsed, relative to the year 2000, since the earliest recorded date when a region within a country’s present borders underwent the transition from primary reliance on hunted and gathered food sources to primary reliance on cultivated crops (and livestock).

Formally, in light of the theoretical prediction regarding the non-monotonic relationship between climatic volatility and the timing of the transition to agriculture, the following quadratic specification is estimated:

$$YS{T}_{i}={\beta}_{0}+{\beta}_{1}VO{L}_{i}+{\beta}_{2}VO{L}_{i}^{2}+{\beta}_{3}TMEA{N}_{i}+{\beta}_{4}LDIS{T}_{i}+{\beta}_{5}LA{T}_{i}+{\beta}_{6}ARE{A}_{i}+{\mathit{\beta}}_{7}^{\prime}{\mathbf{\Delta}}_{i}+{\mathit{\beta}}_{8}^{\prime}{\mathbf{\Gamma}}_{i}+{\epsilon}_{i},$$

where *YST _{i}* is the number of thousand years elapsed since the Neolithic Revolution in country

To fix priors, the reduced-form prediction of the theory – i.e., that intermediate levels of climatic volatility should be associated with an earlier adoption of agriculture – implies that, in the context of the regression specification, the timing of the Neolithic Revolution, *YST _{i}*, and temperature volatility,

Before proceeding to the empirical findings, one issue that merits further discussion is the use of countries as the unit of analysis. While arguments could be made regarding the extent to which regions delineated by modern national borders are related to economically meaningful regions from thousands of years ago, there are at least two reasons for following this particular course. First, comparable data with uniform *global* coverage on the timing of the Neolithic Revolution are currently only available at the country level. Second, given that previous literature has linked the timing of the Neolithic Revolution to both contemporary and historical comparative development across countries, one would naturally like to explore the forces behind the emergence of agriculture at this level of aggregation. Regardless of these considerations, however, as will become evident, the uncovered relationship between temperature volatility and the timing of the agricultural transition does not appear to be a statistical artifact of the chosen unit of analysis, since a qualitatively similar finding is obtained when exploiting observed heterogeneity either across countries or across archaeological sites.

Table 1 reveals the results from regressions employing temperature volatility computed from contemporary time-series data. Specifically, the measure of volatility used is the intertemporal standard deviation of monthly temperature (in degrees Celsius) across 1,200 observations spanning the 1901–2000 time horizon. For the sample of 97 countries employed by this exercise, the volatility measure assumes a minimum value of 0.548 (for Rwanda), a maximum value of 10.082 (for China), and a sample mean and standard deviation of 3.995 and 2.700, respectively.^{17}

Column 1 of Table 1 reveals a highly statistically significant hump-shaped relationship between the timing of the Neolithic Revolution and temperature volatility, conditional on mean temperature, log-distance to the closest Neolithic frontier, absolute latitude, land area, and continent fixed effects. In particular, the first- and second-order coefficients on temperature volatility are both statistically significant at the 1% level and possess their expected signs. The coefficients of interest imply that the optimal level of temperature volatility for the Neolithic transition to agriculture is 8.203, an estimate that is also statistically significant at the 1% level. To interpret the overall metric effect implied by these coefficients, a one-degree-Celsius change in temperature volatility on either side of the optimum is associated with a delay in the onset of the Neolithic Revolution by 79 years.^{18}

As for the control variables in the specification from Column 1, the significant negative coefficient on log-distance to the Neolithic frontier is consistent with priors regarding the spatial diffusion of agricultural practices from the frontier, whereas the positive (albeit statistically insignificant) coefficient on land area is in line with Kremer’s (1993) findings regarding the presence of scale effects throughout human history. Moreover, the coefficient on absolute latitude indicates that latitudinal bands closer to the equator are associated with an earlier transition to agriculture.

The remainder of the analysis in Table 1 is concerned with ensuring that the relationship between volatility and the timing of the Neolithic is not an artefact of the correlation between climatic volatility and other geographic and biogeographic endowments that have been deemed important for the adoption of agriculture by the previous literature. Thus, the specification examined in Column 2 augments the preceding analysis with controls for geographic variables from the study of Olsson and Hibbs (2005), including an index gauging climatic favorability for agriculture, as well as the size and orientation of the landmass, which, as argued by Diamond (1997), played an important role by enhancing the availability of domesticable species and by facilitating the diffusion of agricultural technologies along similar environments. Column 3 repeats this analysis using the first principal component of the aforementioned geographic controls, a variable used by Olsson and Hibbs (2005) to test Diamond’s (1997) hypothesis.

The baseline specification from Column 1 is augmented with controls for the numbers of prehistoric domesticable species of plants and animals in Column 4, while Column 5 replicates this same exercise using the first principal component of these biogeographic variables. The next two columns demonstrate robustness to the combined set of geographic and biogeographic controls from Olsson and Hibbs’s (2005) empirical exercise, with the relevant controls entering the regression specification either as individual covariates in Column 6 or as principal components in Column 7. Finally, Columns 8 and 9 further augment the specifications from the previous two columns with controls for elevation, a measure capturing the degree of terrain undulation, the percentages of land in tropical and temperate climatic zones, and small island and landlocked dummies, capturing additional fixed effects potentially important for the diffusion and implementation of agricultural technologies.^{19}

The overall hump-shaped effect of temperature volatility on the timing of the Neolithic transition, conditional on the full set of controls in Column 8, is depicted on the scatter plot in Figure 4, while the associated first- and second-order partial effects of volatility – i.e., the regression lines corresponding to its first- and second-order coefficients – are depicted in Figures 5(a)–5(b).^{20} As illustrated in Figure 4, the coefficients of interest from Column 8 imply that a one-degree-Celsius change in temperature volatility on either side of the optimum is associated with an 83-year delay in the onset of agriculture.^{21}

As is evident from Table 1, the hump-shaped effect of temperature volatility on the timing of the Neolithic Revolution, revealed in Column 1, remains both quantitatively and qualitatively robust when subjected to a variety of controls for geographic and biogeographic endowments. With regard to the control variables, absolute latitude and log-distance to the Neolithic frontier appear to consistently confer effects across specifications that are in line with priors, whereas the effects associated with the geographic and biogeographic variables, as examined by Olsson and Hibbs (2005), are largely consistent with the results of their empirical exercise.

To summarize, the findings uncovered in Table 1, while validating the importance of technology diffusion and geographic and biogeographic endowments, provide reassurance that the significant hump-shaped effect of temperature volatility on the timing of the Neolithic Revolution is not simply a spurious relationship, attributable to other channels highlighted in the previous literature, but one that plausibly reflects the novel empirical predictions of the proposed theory.

One obvious shortcoming of the measure of temperature volatility employed by the analysis thus far is that, since it is derived as the *intermonthly* standard deviation of temperature in the 1901–2000 time frame, it captures a systematic component of temperature volatility that is purely due to seasonality. Given that seasonality may potentially be correlated with unobserved (or observed but noisily measured) geographic determinants of the timing of the Neolithic Revolution, if seasonality alone is driving the observed hump-shaped pattern, then the interpretation of the results as being supportive of the proposed theory becomes somewhat suspect. Indeed, while the inclusion of absolute latitude as a control variable in the specifications partially mitigates the seasonality issue, it is far from perfect.

To rigorously address this issue, the analysis at hand employs measures of season-specific interannual temperature volatility over the 1901–2000 time horizon. In constructing these volatility measures, the monthly temperature observations from the *CRU TS 2.0* data set are first aggregated into seasonal ones while accounting for North-South hemisphericity – i.e., for locations in the Northern/Southern Hemisphere, the mapping of months into seasons is defined as follows: March-April-May (Spring/Autumn), June-July-August (Summer/Winter), September-October-November (Autumn/Spring), December-January-February (Winter/Summer). For any given season, the relevant temperature-volatility measure is then calculated as the interannual standard deviation of seasonal temperature (in degrees Celsius) across the 100 season-specific observations spanning the 1901–2000 time period.^{22}

Table 2 presents the results from regressions examining, one at a time, each of the four season-specific temperature-volatility measures as a non-monotonic determinant of the timing of the Neolithic Revolution. In particular, for each season-specific volatility measure, two specifications are considered, one with the baseline set of controls (corresponding to Column 1 of Table 1), and the other with the full set of controls (corresponding to Column 9 of Table 1). As is evident from the table, for each season examined, the regressions reveal a statistically significant and qualitatively robust hump-shaped effect of volatility on the timing of the Neolithic Revolution. Specifically, the estimated first- and second-order coefficients on volatility not only appear with their expected signs, but they also maintain statistical significance and remain largely stable in magnitude when subjected to the full set of controls for geographic and biogeographic endowments. The same general pattern is reflected by the corresponding estimates of optimal volatility implied by these first- and second-order coefficients.

The Timing of the Neolithic Revolution and Contemporary Interannual Season-Specific Temperature Volatility

The scatter plots in Figures 6(a)–6(d) depict the overall hump-shaped effects of the four season-specific temperature-volatility measures on the timing of the Neolithic transition, conditional on the full set of controls.^{23} To interpret the overall metric effect associated with each season-specific set of coefficient estimates, a one-degree-Celsius change on either side of the optimum in spring, summer, autumn, and winter temperature volatility delays the adoption of Neolithic agriculture by 3,440, 8,226, 3,864, and 1,566 years, respectively.^{24}

Contemporary Interannual Season-Specific Temperature Volatility vs. the Timing of the Neolithic Revolution

The following thought experiment places the aforementioned effects of season-specific volatility into perspective. If the Republic of Congo’s low spring temperature volatility of 0.308 were increased to Greece’s spring volatility of 0.877, which is in the neighborhood of the optimum, then, all else equal, agriculture would have appeared in the Republic of Congo by 4,125 Before Present (BP) instead of 3,000 BP, reducing the gap in the timing of the transition between the two countries by allowing the Republic of Congo to reap the benefits of agriculture 1,125 years earlier. At the other end of the spectrum, lowering Latvia’s high spring temperature volatility of 1.604 to that of Greece would have accelerated the adoption of farming in the regions belonging to Latvia today by 1,802 years.

Comparing the magnitudes of the coefficients of interest across seasons in Table 2, the regressions indicate a lower relative importance of interannual winter temperature volatility. This pattern is corroborated by Table 3, which collects the results from Wald tests conducted to examine whether the first- and second-order effects of winter volatility, as presented in Table 2, are significantly different from the corresponding effects of the volatility measures for the other seasons. The relatively weaker impact of winter volatility, revealed in Table 2, is entirely consistent with the prior that knowledge accumulation in the hunter-gatherer regime was more likely to have been useful for agriculture when the possibility of farming was present, which is less so during winter seasons.^{25} This finding is also in line with the argument that the greater constraint on resource availability during winter seasons would have been rationally anticipated by hunter-gatherers and thus accounted for in their food procurement activities. As such, winter temperature volatility should be expected to have played a relatively smaller role in shaping the subsistence strategies and the associated knowledge accumulation of hunter-gatherers towards the adoption of agriculture.

In sum, the results uncovered in Table 2, while being quantitatively different from those associated with the baseline measure of temperature volatility in Table 1, establish the qualitative robustness of the baseline findings to the issue of seasonality.^{26} This lends support to the assertion that the significant and robust hump-shaped effect of temperature volatility on the timing of the Neolithic Revolution is not being driven by systematic intertemporal fluctuations due to seasonality, a finding that would otherwise have been at odds with the predictions of the proposed theory.

As discussed earlier, the interpretation of the results for measures of contemporary temperature volatility rests on the identifying assumption that the cross-country distribution of temperature volatility during the 20th century was not significantly different from that which existed prior to the Neolithic Revolution. In an effort to relax this assumption, this section focuses on establishing qualitatively similar findings using a measure of volatility computed from historical time-series temperature data.

In particular, given that the historical time series is partially composed of seasonal (rather than monthly) temperature observations, the measure of volatility employed by this exercise is the intertemporal standard deviation of seasonal temperature (in degrees Celsius) across 1,604 observations spanning the 1500–1900 time period. As mentioned previously, the cross-country sample considered here comprises 25 primarily European observations, selected based on the condition that data on the standard set of control variables are available for these countries and that they also appear in the 97-country sample considered earlier. This permits fair comparisons of the effects of the volatility measures for the contemporary versus historical time frames in the same sample of countries.^{27} In this modest 25-country sample, the measure of historical temperature volatility assumes a minimum value of 3.345 (for Ireland), a maximum value of 8.736 (for Finland), and a sample mean and standard deviation of 6.265 and 1.317, respectively.^{28}

Columns 1–4 of Table 4 reveal the results from regressions using the historical temperature-volatility measure. In line with theoretical predictions, and despite sample size limitations, Column 1 shows a highly statistically significant hump-shaped relationship between the timing of the Neolithic Revolution and the measure of historical volatility, conditional on mean historical temperature, log-distance to the closest Neolithic frontier, absolute latitude, land area, geographic factors from the exercise of Olsson and Hibbs (2005), and a Europe fixed effect.^{29} Moreover, this non-monotonic effect, along with the estimate of optimal volatility, remains qualitatively and quantitatively robust when the specification is modified to use the first principal component of the geographic-endowment variables in Column 2, and when it is further augmented to include controls for elevation, terrain quality, and a landlocked dummy in Columns 3 and 4.^{30}

The Timing of the Neolithic Revolution and Historical vs. Contemporary Interseasonal Temperature Volatility

The overall hump-shaped effect of historical temperature volatility on the timing of the Neolithic transition, conditional on the full set of controls in Column 3, is depicted on the scatter plot in Figure 7.^{31} To interpret the associated metric effect, a one-degree-Celsius change in historical temperature volatility at the optimal volatility level of 6.392 is associated with a delay in the onset of the Neolithic Revolution by 354 years.^{32}

The final four columns of Table 4 repeat the preceding analyses in the same 25-country sample using contemporary temperature volatility, measured as the intertemporal standard deviation of seasonal temperature across 400 observations spanning the 1901–2000 time period. This permits a fair assessment of the identifying assumption that the cross-country distribution of temperature volatility remains stable over long periods of time and therefore that the observed spatial distribution of contemporary temperature volatility may indeed be used to proxy for the unobserved distribution of prehistoric volatility. As is evident from Table 4, and as foreshadowed by the high correlation between the measures of contemporary and historical volatility in Figure 2, the results in Columns 5–8 are strikingly similar to those presented in Columns 1–4, thereby lending further credence to the identifying assumption underlying this exercise. Taken together, these empirical findings provide compelling evidence in support of the proposed theory, suggesting that spatial variation in climatic volatility was indeed a fundamental force behind the differential timing of the adoption of Neolithic agriculture across regions of the world.

Precise estimates of the timing of the agricultural transition are obtained from the radiocarbon dating of archaeological excavations at early Neolithic sites. Thus, while Putterman’s (2008) country-level estimates, based on standard archaeological sources and a multitude of country-specific historical references, provide a valuable and, indeed, the only source that covers a large cross-section of countries, this information is undoubtedly a noisy proxy of the actual timing of the Neolithic Revolution. This section supplements the empirical investigation using a novel cross-archaeological-site data set. In particular, local climatic sequences are constructed from grid-cell-level temperature data and combined with high quality data on radiocarbon dates for 750 early Neolithic settlements in Europe and the Middle East to explore the climatic determinants of the timing of the agricultural transition at the site level.

The site-level data on the timing of the Neolithic transition are obtained from the recent data set compiled by Pinhasi, Fort and Ammerman (2005). In constructing their data set, the authors selected the earliest date of Neolithic occupation for each of 750 sites in Europe and the Middle East, using uncalibrated radiocarbon dates that have standard errors of less than 200 radiocarbon years, and omitting all dates with higher error intervals as well as outlier dates. According to the authors, the resulting collection of archaeological sites and the corresponding dates provide a secure sample for the earliest appearance of each of the early Neolithic cultures in the regions covered by the data set. The map in Figure 8 shows the spatial distribution of these archaeological sites.

As in the cross-country analysis, measures of the mean and standard deviation of temperature are constructed from Mitchell et al.’s (2004) monthly time-series temperature data over the 1901–2000 time horizon.^{33} Unlike the country-level measures, however, the site-level measures are constructed by averaging the grid-cell-level intertemporal moments of temperature across grid cells that fall within a 50-kilometer radius from each site. Thus, temperature volatility for a given site provides a measure of the volatility prevalent in the “average” grid cell within 50 kilometers of the site.

A quadratic specification similar to the one used in the cross-country analysis is employed to test the proposed non-monotonic effect of climatic volatility on the timing of the transition to agriculture across archaeological sites:

$$YS{T}_{i}={\delta}_{0}+{\delta}_{1}VO{L}_{i}+{\delta}_{2}VO{L}_{i}^{2}+{\delta}_{3}TMEA{N}_{i}+{\delta}_{4}LDIS{T}_{i}+{\delta}_{5}LA{T}_{i}+{\delta}_{6}{\mathrm{\Delta}}_{i}+{\delta}_{7}^{\prime}{\mathbf{\Gamma}}_{i}+{\eta}_{i},$$

where *YST _{i}* is the number of thousand years elapsed since the earliest date of Neolithic occupation at site

Table 5 collects the regression results from the cross-archaeological-site analysis. The measure of volatility used in Columns 1 and 2 is the intermonthly standard deviation of temperature over the 1901–2000 time period at the site level (analogous to the country-level volatility measure in Table 1). For the sample of 750 archaeological sites, the volatility measure has a sample mean and standard deviation of 6.264 and 1.416, respectively.^{36}

Consistent with the theory, Column 1 of Table 5 shows a statistically significant hump-shaped relationship between the timing of the Neolithic Revolution and temperature volatility, conditional on mean temperature, log-distance to the Neolithic frontier, absolute latitude, and a Europe fixed effect. In particular, the first- and second-order coefficients on temperature volatility are both statistically significant at the 5% level, and they possess their expected signs. The coefficients of interest imply that the optimal level of temperature volatility for the Neolithic transition in this sample of sites is 7.288. It is interesting to note that the magnitude of optimal volatility is very similar to the optimum of 7.167 found for the sample of the 97 countries in Column 8 of Table 1. To interpret the overall metric effect implied by these coefficients, a one-degree-Celsius change in temperature volatility at the optimum is associated with a delay in the onset of the Neolithic Revolution across sites by 50 years.^{37}

As for the control variables in Column 1, the significant negative coefficient on log-distance to the Neolithic frontier is consistent with the spatial diffusion of agricultural technology from the frontier, while the coefficient on absolute latitude indicates that, conditional on climatic characteristics, hunter-gatherers at latitudinal bands closer to the poles experienced a delayed onset of farming. Column 2 augments the analysis by introducing site-specific controls for climatic favorability towards agriculture, distance to the sea, and elevation. Consistent with priors, Neolithic sites possessing climatic conditions more suitable for farming underwent an earlier transition, although the point estimate is statistically insignificant. Moreover, the positive coefficient on distance to the sea implies that settlements closer to the coast experienced a later transition to agriculture. To the extent that distance to the coast captures the dependence of prehistoric hunter-gatherers on aquatic resources, this finding is consistent with the archaeological and ethnological record of cultures whose particular subsistence pattern, involving a heavier reliance on aquatic resources, resulted in a delayed adoption of farming.

The remaining columns of Table 5 address the issue of seasonality, discussed previously in the cross-country analysis, by constructing season-specific measures of interannual temperature volatility at the site level (analogous to the country-level volatility measures in Table 2). In particular, for each season-specific volatility measure, two specifications are considered, one with the baseline set of controls (corresponding to the one from Column 1 of Table 5) and the other with the full set of controls (corresponding to the one from Column 2 of Table 5). As is evident from the table, the regressions generally reveal statistically significant and robust hump-shaped effects of the different season-specific volatility measures on the timing of the Neolithic transition. Specifically, for each season, the estimated first- and second-order coefficients on volatility appear with their expected signs and remain largely stable in magnitude when subjected to the full set of controls for geographic endowments. Note that, consistent with the findings in the cross-country analysis, the impact of winter temperature volatility is quantitatively less important, and incidentally also less precisely estimated, than the effects of the volatility measures for the rest of the seasons. This pattern is more rigorously confirmed by the bottom panel of Table 5, which shows that the effects of winter volatility, as presented in the top panel of the table, differ systematically from the corresponding effects of spring, summer, and autumn volatility, respectively.

To better gauge the quantitative impact of climatic volatility on the advent of farming across sites, consider the following scenario involving spring temperature volatility. Within Germany, the earliest Neolithic site is that of Klein Denkte, possessing a spring volatility of 1.059 and an estimated transition date of 7,930 BP. Note that Klein Denkte’s spring volatility is close to the estimated optimum of 1.039, presented in Column 3 of Table 5. On the other hand, the German Neolithic sites of Prenzlau and Kaster both transited to agriculture around 5,500 BP but display significantly different spring volatilities. In particular, Prenzlau has the highest spring volatility within Germany at 1.234, whereas Kaster has one of the lowest at 0.945. Endowing the settlement at Prenzlau with the spring volatility of Klein Denkte would have accelerated the advent of farming in the former by 184 years, whereas the same experiment for Kaster would have given rise to agricultural dependence at this location 41 years earlier. The scatter plot in Figure 9 depicts the overall hump-shaped effect of spring temperature volatility on the timing of the Neolithic transition across archaeological sites, conditional on the full set of controls in Column 4.^{38}

Contemporary Interannual Spring Temperature Volatility vs. the Timing of the Neolithic Revolution across Archaeological Sites

In sum, the analysis in this section employed data on the timing of Neolithic settlements in Europe and the Middle East to explore the role of local, site-specific climatic sequences in shaping the transition to farming across reliably excavated and dated archaeological entities. Consistent with theoretical predictions, and in line with the systematic pattern revealed by the cross-country analysis, Neolithic sites endowed with moderate levels of climatic volatility transited earlier into agriculture, conditional on local microgeographic characteristics. The recurrent finding that climatic volatility has had a non-monotonic impact on the emergence of farming, across countries and archaeological sites alike, sheds new light on the climatic origins of the adoption of agriculture.

The theory advanced by this research highlights the importance of moderate levels of climatic volatility for instigating transformations in hunter-gatherer subsistence activities, thereby spurring the accumulation of tacit knowledge appropriate for the adoption of farming. Admittedly, however, the reduced-form empirical evidence, while consistent with the proposed theory, could potentially also be reconcilable with alternative mechanisms.

One possibility is that the observed hump-shaped effect of temperature volatility on the timing of the Neolithic Revolution could simply be reflecting the influence of an “ideal agricultural climate,” such that conditions away from this optimum, by increasing the incidence of crop failures, reduce the incentive of hunter-gatherers to adopt farming. There are two statistically related pieces of evidence, however, that mitigate this concern. First, as shown in Table A.1 in Section A of the supplemental appendix, while the results from both cross-country and cross-archaeological-site regressions of climatic suitability for agriculture on (a quadratic in) temperature volatility reveal a hump-shaped pattern between these variables, the estimated relationships are generally weak and statistically imprecise. Second, had (high levels of) climatic suitability for agriculture and (intermediate levels of) temperature volatility both been noisy proxies of the true but unobserved “ideal agricultural climate,” with the latter being the less noisy of the two proxies, one should not expect to find a statistically significant positive coefficient on climatic suitability in a specification that regresses the timing of the agricultural transition on both climatic suitability and (a quadratic in) temperature volatility. The results presented in Table 1, however, run contrary to this prediction. Taken together, these findings indicate that climatic suitability for agriculture and (moderate levels of) temperature volatility are not as strongly correlated as priors may suggest and, therefore, that the statistical relationships that these variables possess with the timing of the Neolithic Revolution, conditional on one another, are plausibly reflective of two distinct and independent dimensions of the influence of climate on the adoption of farming.

A second alternative mechanism that could rationalize the reduced-form empirical findings is that of risk diversification across different subsistence strategies. Specifically, if hunter-gatherers happened to possess the prior that agricultural production would mitigate the adverse effects of future climatic shocks on foraging output, then they would have had a strong incentive to adopt farming when the agricultural technology arrived.^{39} Moreover, to the extent that hunter-gatherers in climatically static environments were not likely to have benefited from increased diversification, while those typically facing extreme climatic events might have found agriculture to be unproductive, it follows that farming would have been adopted earlier in locations characterized by moderate climatic shocks.

Given sufficient data on the intertemporal variance-covariance structure of output across prehistoric foraging and farming activities, as well as data on the breadth of the hunter-gatherer dietary spectrum prior to the adoption of agriculture, one could potentially conduct a discriminatory test of the aforementioned risk-diversification mechanism versus the espoused knowledge-accumulation channel – i.e., by assessing their relative importance in mediating the reduced-form hump-shaped effect of climatic volatility on the timing of the Neolithic Revolution. Alternatively, one could exploit data on climatic volatility across different time horizons prior to the onset of agriculture. Since the knowledge-accumulation mechanism emphasizes the deep history of climatic events, whereas the risk-diversification channel highlights expectations of future shocks when farming becomes available for adoption, to the extent that the recent history of climatic fluctuations was more heavily weighted in the formation of such expectations, the relative importance of climatic volatility across longer versus shorter time horizons in explaining the timing of the Neolithic Revolution could potentially reflect the relative significance of these two mechanisms. Unfortunately, the absence of detailed archaeological and prehistoric climatological data makes such tests infeasible at the moment, remaining interesting avenues to explore in future research. Nevertheless, both mechanisms are complementary in highlighting the role of climatic volatility in the adoption of farming.

Setting aside the question of alternative mechanisms, a potentially more germane issue is whether the reduced-form empirical findings can themselves be considered valid, given the statistical assumption of independence of observations in the preceding least-squares regression analyses. Specifically, since farming most likely diffused across space not due to direct technology transfer from the Neolithic frontier but as a result of iterative intermediate adoptions across neighboring societies, and because climatological factors are also known to be strongly correlated across contiguous territories, the estimated effects of temperature volatility on the timing of the agricultural transition could well be both biased and inefficient.

This issue is formally addressed in this section by way of conducting spatial regressions that employ the maximum-likelihood estimator of Drukker, Prucha and Raciborski (2013), which allows for first-order spatial autoregression in both the dependent variable and the disturbance term (SARAR). In particular, the estimated SARAR models are of the form:

$$\mathbf{y}=\lambda \mathbf{W}\mathbf{y}+\mathbf{X}\mathit{\beta}+\mathbf{u};$$

$$\mathbf{u}=\rho \mathbf{M}\mathbf{u}+\mathit{\epsilon},$$

where **y** is an *n* × 1 vector of observations on the dependent variable; **W** and **M** are *n* × *n* spatial weighting matrices (with diagonal elements equal to zero and off-diagonal elements corresponding to inverse great-circle distances between geodesic centroids);^{40}
**Wy** and **Mu** are *n* × 1 vectors representing spatial lags; λ and ρ are non-zero scalar parameters reflecting the spatial autoregressive processes; **X** is an *n* × *k* matrix of observations on *k* independent variables and **β** is its associated *k* × 1 parameter vector; and finally, **ε** is an *n* × 1 vector of residuals. Reassuringly, as revealed in Table A.2 in Section A of the supplemental appendix, following this methodology to modify the main empirical specifications from the cross-country and cross-archaeological-site analyses – i.e., allowing for spatial dependence, both in the timing of the Neolithic Revolution and in unobserved heterogeneity, across observations – does not qualitatively alter the key finding of a statistically significant hump-shaped effect of temperature volatility on the timing of the adoption of agriculture.

This research theoretically and empirically examines the diffusion of agriculture. The theory emphasizes the role of a foraging society’s history of climatic shocks in determining the timing of its adoption of farming. It argues that hunter-gatherers facing moderately volatile environments were forced to take advantage of their productive endowments at a faster pace, thereby accumulating tacit knowledge complementary to the adoption of agriculture. Static climatic conditions, on the contrary, by not inducing foragers to exploit the marginal resources available in their habitats, limited the accumulation of such knowledge. Similarly, extreme environmental fluctuations, by drastically altering the resource base and forcing foragers to enact radically different subsistence strategies, delayed the adoption of farming.

The key theoretical prediction regarding a hump-shaped effect of climatic volatility on the adoption of agriculture is empirically demonstrated. Conducting a comprehensive empirical investigation that exploits variations both across countries and across archaeological sites, the analysis establishes that, conditional on biogeographic endowments, climatic volatility has a non-monotonic effect on the timing of the transition to agriculture. Farming was adopted earlier in regions characterized by intermediate levels of climatic volatility, with regions subject to either too high or too low intertemporal variability systematically transiting later. Reassuringly, the results hold at different levels of aggregation and using alternative sources of climatic sequences. The findings are consistent with the proposed theory, suggesting that heterogeneity in climatic volatility was a fundamental force behind the differential timing of the prehistoric transition to agriculture, both at a local and at a global scale.

^{*}We thank the editor, Philippe Aghion, two anonymous referees, Ofer Bar-Yosef, Gregory Dow, Oded Galor, Nippe Lagerlöf, Ashley Lester, Yannis Ioannides, Clyde Reed, David Weil, and seminar participants at the Aristotle University of Thessaloniki, Brown University, the First and Second Conferences on Early Economic Developments, the 2010 DEGIT XV Conference, and the 2011 Annual Conference of the Royal Economic Society for their comments and suggestions. Ashraf gratefully acknowledges research support from the Hellman Fellows Program and from the National Science Foundation (SES-1338738). This paper was partly written while Ashraf was visiting Harvard Kennedy School and the Center for International Development at Harvard University. All errors are ours.

^{1}The distribution of contemporary hunter-gatherer societies is also in line with the proposed theory. Hunter-gatherers today are typically found either in areas characterized by extreme climatic conditions, like the poles and deserts, or in rich coastal regions that possess little climatic variation (see, e.g., Keeley, 1995).

^{2}Interestingly, using both cross-country and cross-archeological-site data (as in the current study), Olsson and Paik (2012) provide new evidence, showing that within the Western agricultural core (i.e., Southwest Asia, Europe, and North Africa), there is a negative association between the onset of farming and contemporary economic and institutional development.

^{3}Relatedly, some studies in the economics literature on pristine transitions (e.g., Weisdorf, 2009; Robson, 2010; Guzmán and Weisdorf, 2011) have focused on attempting to explain the puzzle of the emergence of farming, given that early agriculturalists are known to have been worse-off than their hunter-gatherer predecessors (Cohen, 1977). While interesting, this issue does not pertain to heterogeneity across societies in the timing of the onset of agriculture, and as such, it is not germane to the current analysis.

^{4}The assumptions regarding the non-scarcity of land as a productive factor and constant population size imply that the current model does not admit a long-run Malthusian equilibrium. These abstractions permit the setup to focus on highlighting the role of climatic volatility in determining the timing of the adoption of agriculture. Incorporating Malthusian considerations does not qualitatively alter the key theoretical predictions. See Ashraf and Michalopoulos (2011).

^{5}Since the current setup is intended to exclusively highlight the effect of climatic shocks, it abstracts from the role of average climatic conditions in determining the timing of the adoption of agriculture. Nevertheless, this possibility is explicitly accounted for in the empirical analysis.

^{6}Note that both positive and negative deviations in climatic conditions, like increases or decreases in temperature, may have an adverse impact on the subsistence resource base. This is consistent with the notion that each species in nature thrives under specific climatic conditions, and thus, a deviation from this “optimum” decreases its abundance.

^{7}Note that the current setup does not permit experimentation to permanently increase the efficiency with which existing resources are extracted. Allowing the contemporaneous R&D effort to permanently lower the cost of producing intermediate inputs, μ, does not qualitatively alter the main theoretical predictions.

^{8}Inspired by the broader conceptual framework developed by Ashraf and Michalopoulos (2011), Dow and Reed (2011) present a theoretical model that provides some plausible microfoundations for such “rachet effects” of climatic shocks on the knowledge base (pertaining to the exploitation of latent resources) of a foraging society over time.

^{9}Section C of the supplemental appendix provides detailed definitions and sources of all the variables employed by the empirical investigation.

^{10}This sequence of computations was specifically chosen to minimize the information loss that inevitably results from aggregation. Note that an alternative (but not equivalent) sequence would have been to perform the spatial aggregation to the country level first and then compute the intertemporal moments. To see why this alternative is inferior, consider the extreme example of a country comprised of two grid cells that have identical temperature volatilities, but whose temperature fluctuations are perfectly negatively correlated. In this case, the alternative methodology would yield no volatility at all for the country as a whole, whereas the methodology adopted would yield the volatility prevalent in either of its grid cells.

^{11}The distinction between the 45- and 25-country samples is evident in Figures 2 and and3,3, where observations appearing only in the 25-country sample are depicted as filled circles.

^{12}For a detailed description of the primary and secondary data sources employed by the author in the construction of this variable, the reader is referred to the website of the *Agricultural Transition Data Set*.

^{13}Distances to the closest Neolithic frontier are computed with the haversine formula, using the coordinates of modern country capitals as spatial endpoints. The set of seven global Neolithic frontiers, considered in the determination of the closest frontier for each observation, comprises Syria, China, Ethiopia, Niger, Mexico, Peru, and Papua New Guinea. To maximize the degrees of freedom exploited by the regressions – i.e., permitting them to incorporate all the available information, including that on the frontiers themselves – the log transformation is applied to one plus the underlying distance variable.

^{14}The inclusion of land area as a control variable is meant to capture the potentially confounding effects of population and geographic scale on innovative activity (Kremer, 1993). Specifically, in a world where (i) population size is increasing in land area and (ii) the incidence of an innovation amongst the population in any given location follows a point-Poisson process, larger land areas are expected to be associated with more innovations – i.e., an *a priori* earlier transition to agriculture in the context of the current study.

^{15}The issue of spatial autocorrelation across disturbance terms is addressed rigorously further below.

^{16}These conditions ensure not only strict concavity, but also that the optimal volatility implied by the first- and second-order coefficients falls within the domain of temperature volatility observed in the cross-country sample.

^{17}These descriptive statistics, along with those of the control variables employed by the analysis, are collected in Table B.1 in Section B of the supplemental appendix, with the relevant correlations appearing in Table B.2.

^{18}Note that this is different from the marginal effect, which by definition would be zero at the optimum. The difference between the marginal and metric effects arises from the fact that a one-degree-Celsius change in temperature volatility does not constitute an infinitesimal change in this variable, as required by the calculation of its marginal effect. It is easy to show that the metric effect of a Δ*VOL* change in volatility at the level $\overline{VOL}$ is given by $\mathrm{\Delta}YST={\beta}_{1}\mathrm{\Delta}VOL+{\beta}_{2}(2\overline{VOL}+\mathrm{\Delta}VOL)\mathrm{\Delta}VOL$. Evaluating this expression at the optimum for a one-degree-Celsius change in volatility, i.e., setting Δ*VOL* = 1 and $\overline{VOL}=-{\beta}_{1}/(2{\beta}_{2})$, yields the relevant metric effect reported in the text. Alternatively, setting Δ*VOL* equal to one standard deviation of the cross-sectional temperature volatility distribution yields the “standardized” metric effect, which for the regression in Column 1 of Table 1, translates to a 574-year delay in the onset of farming.

^{19}In terms of the data sources for the additional controls, the data on mean elevation and terrain undulation (ruggedness) are derived from the *Geographically based Economic data (G-Econ)* project (Nordhaus, 2006), while data on the percentages of land area in tropical and temperate climatic zones are taken from the data set of Gallup, Sachs and Mellinger (1999). Finally, the island and landlocked dummies are constructed based on data from the *CIA World Factbook*.

^{20}It should also be noted that Figures 4, ,6,6, ,7,7, and and99 are “augmented component plus residual” plots and not the typical “added variable” plots of residuals against residuals. In particular, the vertical axes in these figures represent the component of transition timing that is explained by temperature volatility and its square, plus the residuals from the corresponding regression. The horizontal axes, on the other hand, simply represent temperature volatility rather than the residuals obtained from regressing volatility on the covariates. This methodology permits the illustration of the overall non-monotonic effect of temperature volatility in one scatter plot per regression, with the regression line being generated by a quadratic fit of the y-axis variable (explained above) on the x-axis variable (temperature volatility).

^{21}The corresponding “standardized” metric effect (as defined in footnote ^{18}) translates to a delay in the adoption of agriculture by 604 years.

^{22}The relevant descriptive statistics of the four season-specific volatility measures and their correlations with the control variables employed by the regressions to follow are reported in Section B of the supplemental appendix, in Tables B.3 and B.4, respectively.

^{23}The associated first- and second-order partial effects of the season-specific temperature-volatility measures – i.e., the regression lines corresponding to their first- and second-order coefficients – are depicted in panels (a) and (b), respectively, of Figures A.1–A.4 in Section A of the supplemental appendix.

^{24}While these metric effects are substantially larger in comparison to those revealed by the analysis in Table 1, it is important to note that a one-degree-Celsius change in each of the season-specific volatility measures represents a rather large move in the data, reflecting between 2 and 5 standard deviations of the relevant cross-country volatility distribution, depending on the season considered. In contrast, a one-degree-Celsius change in intermonthly temperature volatility corresponds to only two-fifths of a standard deviation from its cross-country distribution. As such, for the purposes of comparing metric effects across the different volatility measures, it is more informative to employ the “standardized” metric effect (as defined in footnote ^{18}). In this case, for spring, summer, autumn, and winter temperature volatility, the “standardized” metric effect translates to a delay in the onset of the Neolithic transition by 245, 393, 274, and 470 years, respectively.

^{25}An alternative way to gauge the relative importance of the season-specific volatilities would have been to simultaneously include all four season-specific measures in the same regression specification. Nevertheless, given the high sample correlations between these respective measures, as evident in Table B.4 in Section B of the supplemental appendix, the resulting regression would be rather uninformative due to the well-known consequences of multicollinearity.

^{26}The finding that the metric effects of the season-specific temperature-volatility measures are larger than those uncovered in Table 1 may reflect the fact that non-seasonality-adjusted volatility additionally captures *expected* movements in temperature over time, which, by virtue of having been rationally anticipated, were less likely to instigate novel changes in hunter-gatherer subsistence strategies.

^{27}While historical time-series temperature data are available for some countries in North Africa and the Near East as well, the data are considered to be far more reliable for European countries, where the number of weather stations is substantially larger and more uniformly distributed across space. In addition, there is no evidence of systematic climatic reversals amongst European countries since the Last Glacial Maximum, unlike, for example, in North Africa where expansions of the Sahara has resulted in increased desertification over time.

^{28}The reader is referred to Tables B.5 and B.6 in Section B of the supplemental appendix for additional descriptive statistics and correlations pertaining to this 25-country sample.

^{29}Since Olsson and Hibbs (2005) report data on biogeographic endowments – i.e., the numbers of prehistoric domesticable species of plants and animals – at a macroregional level, and because the European continent is treated as one macroregion in their data set, there is hardly any cross-sectional variation in these biogeographic variables within the 25-country sample being considered. As such, controls for biogeographic endowments are omitted from these regressions.

^{30}The small island dummy is not considered here since there are no observations in the 25-country sample that are classified as small islands. While the British Isles are included in the sample, the fact that the UK and Ireland share a border prevents the strict qualification of these countries as small island nations. Relaxing this strict definition of a small island nation to treat the UK and Ireland as small islands does not significantly alter the results.

^{31}The associated first- and second-order partial effects of historical temperature volatility – i.e., the regression lines corresponding to its first- and second-order coefficients – are depicted in Figures A.5(a)–A.5(b) in Section A of the supplemental appendix.

^{32}The “standardized” metric effect (as defined in footnote ^{18}) translates, in this case, to a delay in the adoption of farming by 613 years.

^{33}Given that the historical time-series temperature data, used in the cross-country analysis, do not cover all the archaeological sites, the contemporary temperature data are employed instead.

^{34}The standard errors are clustered at the country level to account for spatial autocorrelation in η_{i}. Applying the correction method proposed by Conley (1999), however, yields similar results (not reported). The issue of spatial dependence is addressed more rigorously further below.

^{35}The site-level measure of climatic suitability for agriculture is constructed by applying Olsson and Hibbs’s (2005) definition of climatic suitability to geospatial data on the global distribution of Köppen-Geiger climate zones at a 0.5-degree resolution from Kottek et al. (2006). Elevation is calculated using geospatial data at a 5-minute resolution from the *TerrainBase Global Digital Terrain Model, Version 1.0* of the National Oceanic and Atmospheric Administration (NOAA) National Geophysical Data Center. Finally, distance to the sea is computed (after omitting the data on the coastlines of lakes) using high-resolution geospatial data on the “coastlines of seas, oceans, and extremely large lakes” from the *Seamless Digital Chart of the World, Base Map Version 3.0*, published by Global Mapping International.

^{36}These descriptive statistics along with those of the control variables employed by the analysis are collected in Table B.7 in Section B of the supplemental appendix, with the relevant correlations appearing in Table B.8.

^{37}In this case, the “standardized” metric effect (as defined in footnote ^{18}) translates to a delay in the adoption of Neolithic agriculture at the site level by 101 years.

^{38}The associated first- and second-order partial effects of spring temperature volatility – i.e., the regression lines corresponding to its first- and second-order coefficients – are depicted in Figures A.6(a)–A.6(b) in Section A of the supplemental appendix.

^{39}While it is unclear how societies with no previous operational experience with farming would come to possess such a prior, the argument that they may have come into frequent contact with early neighboring agriculturalists (and thereby gained the relevant knowledge) leaves open this possibility.

^{40}Employing a contiquity matrix rather than an inverse-distance matrix for the spatial weighting matrices does not qualitatively affect the results of the spatial regressions. The results are also qualitatively insensitive to the truncation of spatial weights (to zero) below various thresholds of inverse distances.

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