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Lesk et al. (2016). Influence of extreme weather disasters on global crop production

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LETTER

doi:10.1038/nature16467

Influence of extreme weather disasters on global 

crop production

Corey Lesk

1

, Pedram Rowhani

2

 & Navin Ramankutty

1,3

In recent years, several extreme weather disasters have partially or 

completely damaged regional crop production

1–5

. While detailed 

regional accounts of the effects of extreme weather disasters exist, 

the global scale effects of droughts, floods and extreme temperature 

on crop production are yet to be quantified. Here we estimate for the 

first time, to our knowledge, national cereal production losses across 

the globe resulting from reported extreme weather disasters during 

1964–2007. We show that droughts and extreme heat significantly 

reduced national cereal production by 9–10%, whereas our analysis 

could not identify an effect from floods and extreme cold in the 

national data. Analysing the underlying processes, we find that 

production losses due to droughts were associated with a reduction 

in both harvested area and yields, whereas extreme heat mainly 

decreased cereal yields. Furthermore, the results highlight 

~

7% 

greater production damage from more recent droughts and 8–11% 

more damage in developed countries than in developing ones. Our 

findings may help to guide agricultural priorities in international 

disaster risk reduction and adaptation efforts.

In many regions of the world, there have been considerable changes 

in the nature of droughts, floods and extreme temperature events since 

the middle of the twentieth century

6–8

. Over agricultural areas, disasters 

arising from extreme weather can cause marked damage to crops and 

food system infrastructure, with the potential to destabilize food sys-

tems and threaten local to global food security. In recent years, nearly 

one-quarter of all damage and losses from climate-related disasters has 

been in the agricultural sector in developing countries

9

. With such dis-

asters expected to become more common in the future

1,6,7

, policymak-

ers need robust scientific information to develop effective disaster risk 

management and adaptation interventions (for example, infrastructure, 

technology, management and insurance) to protect the most vulnerable 

populations and to ensure global food security.

Whether an extreme weather event results in a disaster depends not 

only on the severity of the event itself, but also on the vulnerability and 

exposure of the human and natural systems that experience it

6

. Past 

research has addressed agricultural effects of specific weather extremes 

with fixed definitions, such as degree days above some threshold

10–15

. 

This approach probably underestimates the crop effects of extreme 

weather disasters (EWDs), because similar extreme weather events may 

have differing effects depending on the vulnerability of the exposed 

system.

In this study, we address this bias by using a disaster data set com-

piled based on human impact. In addition, we attend to two further 

limitations of previous work on extreme weather and agriculture. First, 

several regional empirical studies have highlighted the adverse effects 

of extreme heat events on crop yields

10–13

, and global modelling efforts 

have estimated future crop yield declines due to increasing extreme 

heat stress

14,15

. But this emphasis on crop yields offers an incomplete 

picture of crop production because of the potential for compensation 

or compounding of yield impacts by changes in harvested area

16

; 

and because crop production (and not yields)—together with access 

and utilization—determines food security

2,4,7,17,18

. Second, we seek 

to investigate the agricultural effects of often-overlooked extreme 

weather events, namely floods and extreme cold

2,3

. Thus, our study is 

the first, to our knowledge, that takes an empirical approach to estimat-

ing the influence of EWDs on crop area, yields and production at the  

global scale.

We use a statistical method, superposed epoch analysis

19

 (also known 

as compositing, see Methods), to estimate average national per-disaster 

cereal production losses (Food and Agriculture Organization of the 

United Nations (FAO), http://faostat3.fao.org) across the globe due 

to reported droughts, floods and extreme temperature disasters from 

1964 to 2007. Furthermore, we estimate the effects on cereal yield and 

harvested area separately to identify processes leading to production 

losses. On the basis of 

~

2,800 reported extreme hydro-meteorological  

disasters collated by the Emergency Events Database (EM-DAT, http://

www.emdat.be/database), we find that national cereal production 

during a drought was significantly reduced by 10.1% on average (95% 

confidence interval 9.9–10.2%), while years with extreme heat led to 

national production deficits of 9.1% (8.4–9.5%; Fig. 1a, b and Extended 

Data Table 1). These production deficits were equivalent to roughly  

6 years of production growth; however, no significant lasting effects 

were noted in the years after the disasters. Estimated mean production 

losses were driven mainly by a preponderance of disasters with moder-

ate effects on crops, as opposed to a few extreme cases (Extended Data 

Fig. 1), and were not strongly influenced by sample size (see Extended 

Data Fig. 2, Extended Data Table 2 and Supplementary Discussion).

During 1964–2007, these estimated EWD effects represent a loss of 

1,820 million Mg due to droughts (approximately equal to the global 

maize and wheat production in 2013), and 1,190 million Mg due to 

extreme heat disasters (more than the global 2013 maize harvest). Over 

2000–2007 (the period with the most complete disaster reporting com-

pared with earlier decades), 6.2% of total global cereal production was 

lost due to EWDs relative to an estimated counterfactual global produc-

tion without EWD effects (3.0% to extreme heat and 3.2% to drought).

Cereal yield declines during EWDs were 5.1% (4.9–5.2%) and 7.6% 

(7.0–8.1%) for drought and extreme heat, respectively (Fig. 2a). The 

harvested area dropped 4.1% (4.0–4.3%) during droughts, but was not 

significantly affected by extreme heat (Fig. 2b). This may be due to the 

shorter duration of extreme heat relative to droughts—while approx-

imately one-third of droughts in this study spanned several years, all 

extreme heat disasters took place within a single year. Droughts may 

thus be more likely to last long enough to cause complete crop failure 

and discourage planting, while extreme heat disasters, especially out-

side key crop developmental stages, may affect crop growth and reduce 

yields without critically damaging harvests.

Our estimated yield deficits from EWDs cannot be directly com-

pared to previous studies of the impact of seasonal mean climate trends 

over the same period

20

 (see Supplementary Discussion). However, we 

derived a comparable measure to that reported previously

21

, and esti-

mated a yield sensitivity of 6–7% per 1 °C increase in seasonal mean 

1

Department of Geography, McGill University, Montreal H3A 0B9, Canada. 

2

Department of Geography, University of Sussex, Brighton BN1 9QJ, UK. 

3

Liu Institute for Global Issues and Institute for 

Resources, Environment and Sustainability, University of British Columbia, Vancouver V6T 1Z2, Canada.

© 2016 Macmillan Publishers Limited. All rights reserved

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Letter

reSeArCH

weather associated with extreme heat disasters, which suggests that our 

observed extreme heat effects are not necessarily independent from 

those detected in studies examining changes in seasonal temperatures 

(Extended Data Fig. 3). Methodological differences and uncertainties 

prevent us from drawing strong conclusions based on this comparison. 

Our drought impacts, however, seem to be independent of previous 

estimates that used seasonal weather anomalies (see Supplementary 

Discussion).

Our results do not show significant production effects from extreme 

cold and floods (Fig. 1c, d). A potential explanation for this is that 

floods tend to occur in the spring in temperate regions as a result of 

snowmelt, and cold weather susceptibility in most agricultural regions 

is highest outside the growing season, which may render a sizeable 

portion of the flood and extreme cold disasters analysed in this study 

agriculturally irrelevant. The estimated lack of response may also be 

an artefact of the spatial dimension of these disasters. While drought 

and extreme temperature affect broad regions, floods are a function 

of both weather and topography, and can be highly localized within 

a country

22

. Since this study uses country-level agricultural statistics, 

one may speculate that a more noticeable flood effect on sub-national 

production is masked at the national scale.

Several additional analyses offer more detailed insights into the 

effects of these EWDs on cereal production. Cereals in the more tech-

nically developed agricultural systems of North America, Europe and 

Australasia suffered most from droughts, facing on average a 19.9% 

production deficit compared to 12.1% in Asia, 9.2% in Africa, and no 

significant effect in Latin America and the Caribbean (overall differ-

ence in means 

P

 

=

 0.02; Fig. 3a and Extended Data Tables 3 and 4). This 

more severe production impact in the developed nations was driven 

by a substantial yield deficit of 15.9%, with no significant reduction in 

harvested area (Fig. 3b, c). We see three possible explanations for this 

pattern. First, it may arise from a tendency among lower-income coun-

tries to encompass diverse crops and management across many small 

fields, which may allow for some fields to resist drought better than 

others. This might reduce the national drought sensitivity compared 

to higher-income countries, where large-scale monocultures are more 

dominant. Second, lower-income countries may better resist drought 

because smallholders tend to use risk-minimizing strategies compared 

to the yield-maximizing ones prevalent in higher-income countries. 

Third, the pattern may relate to generally lower fair-weather yields in 

lower-income countries. In Asia, we found a significant reduction of 

8.8% in harvested area during droughts with no corresponding yield 

deficit, suggesting that this region has a greater tendency for total crop 

failure in the event of a drought rather than harvesting with reduced 

yields

16

. The production effects in Africa did not correspond to signif-

icant deficits in either yield or harvested area.

While the production of all three crops was similarly affected by 

droughts (5–6% deficit each; Fig. 4a, Extended Data Tables 2 and 5), 

only maize was significantly affected by extreme heat (11.7% deficit, 

P

 

=

 0.01) (Fig. 4d). Maize was also the only crop with significant yield 

Drought (

n

 = 222)

Extreme heat (

n

 = 32)

Extreme cold (

n

 = 51)

Flood (

n

 = 756)

Normalized composite

Normalized composite

a

b

c

d

1.2

1.1

1.0

0.9

0.8

1.2

1.1

1.0

0.9

0.8

1.2

1.1

1.0

0.9

0.8

10.1%

9.1%

Year from event

Year from event

1.2

1.1

1.0

0.9

0.8

–3

–2

–1

0

1

2

3

–3

–2

–1

0

1

2

3

Figure 1

 | 

Influence of EWDs on national cereal production.  

a

–

d

, Normalized production composites for drought (

n

 

=

 222)  

(

a

), extreme heat (

n

 

=

 32) (

b

), flood (

n

 

=

 756) (

c

) and extreme cold 

disasters (

n

 

=

 51) (

d

) over 7-year windows centred on the disaster year 

(blue lines). Box plots depict the distributions of 1,000 false-disaster 

control composites, with red crosses denoting extreme outliers, and red 

dashes denoting medians. Production during drought and extreme heat 

years was 10.1% and 9.1% below the control mean, respectively, whereas 

no significant production signal was detected for floods or extreme cold. 

Production resumed normal levels immediately after drought and extreme 

heat. The increasing trend in production over the 7-year window reflects 

the observed growth trend.

Year from event

a

b

Year from event

Drought (

n

 = 222)

Extreme heat (

n 

= 32)

Yield

Harvested area

1

2

3

0

–1

–2

–3

0.94

1.02

1.04

1.06

0.98
0.96

0.92

Normalized composite

1

2

3

0

–1

–2

–3

0.94

1.02

1.04

1.06

0.98
0.96

0.92

1.00

1.00

*

*

*

Figure 2

 | 

Influence of EWDs on national cereal yields and harvested 

area. a

, 

b

, Yield (blue) and harvested area (red) composites for drought 

(

n

 

=

 222) (

a

) and extreme heat (

n

 

=

 32) (

b

), with significant points (those 

lying beyond the control box plot whiskers) marked by asterisks (box plots 

not shown for clarity). Drought was associated with significant deficits 

in both yield and harvested area (5.1 and 4.1%), whereas extreme heat 

revealed only significant yield impacts of 7.6% with no significant effect on 

harvested area.

© 2016 Macmillan Publishers Limited. All rights reserved

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Letter

reSeArCH

effects (12.4%, 

P

 

=

 0.002) (Fig. 4b, e). We are hesitant to draw strong 

conclusions based on this difference, as it may be due to differing var-

iance as well as mean (see Extended Data Table 6 and Supplementary 

Discussion). Furthermore, it may reflect the fact that maize is generally 

grown during summer months, which have the highest probabilities of 

extreme heat as defined in EM-DAT, while wheat is grown during the 

spring. Disaster data with monthly or daily resolution would enable us 

to investigate whether this apparent susceptibility of maize is a result 

of differing growing season.

Finally, more recent droughts (1985–2007) caused cereal produc-

tion losses averaging 13.7%, greater than the estimated 6.7% during 

earlier droughts (1964–1984) (

P

 

=

 0.008, Fig. 5), which may be due 

to any combination of rising drought severity (although whether 

drought severity has increased globally is presently debated)

23–26

, 

increasing vulnerability

6,27

 and exposure to drought

6

, and/or chang-

ing reporting dynamics (Extended Data Fig. 4). Sample size limita-

tions prevented us from repeating a regional and temporal analysis 

for extreme heat.

Some limitations of our analyses are worth noting. First, we mainly 

focus on four principal types of EWDs, but follow-up studies should 

include tropical storms and extreme precipitation and wind events, 

especially since they may have an increasingly important effect on 

agriculture in the context of climate change

28

. Second, our estimates 

are biased towards more recent disasters as they are more abundantly 

reported in EM-DAT than older ones (see Extended Data Fig. 4 and 

Supplementary Discussion). Third, we use EWDs from the EM-DAT 

database, which collates disasters based on several criteria for sub-

stantial human impact (Methods). We may be underestimating the 

true effects of EWDs if disasters are included mainly based on urban 

impacts, or if extreme events occurring in sparsely populated areas are 

less likely to qualify as disasters. Finally, since we observe agricultural 

impacts at the national level, more notable local and regional effects of 

disasters may be muted (but conversely, finding a signal at the national 

level highlights the substantial influence of droughts and extreme heat). 

Future studies may arrive at a more detailed estimate by using subna-

tional agricultural data, localizing the reported disasters within nations, 

selecting disasters taking place during the growing season, and con-

trolling for severity of disasters. Linking the definitions of EWDs used 

in this study with statistical meteorological definitions will also enable 

a forecasting of future impacts.

Overall, there are four main conclusions from our study. First, over 

the period 1964–2007, drought and extreme heat substantially damaged 

national agricultural production across the globe. Within the frame-

work of this study, no effect on agriculture was identified from floods 

and extreme cold. Second, drought reduced cereal yield and completely 

damaged crops, whereas extreme heat only affected yield, reflecting 

clear differences in the processes leading to overall production effects. 

Third, this study highlights an important temporal dimension to these 

impacts. While the damage to cereal production is considerable, this 

effect is only short term, as agricultural output rebounds and continues 

its growth trend after the disaster. Furthermore, we show that recent 

droughts had a larger effect on cereal production than earlier ones. 

Production

Yield

Harvested area

Drought

a

b

c

d

e

f

1

–3

2

3

0

–1

–2

Normalized composite

1.1

1.0

0.9

Extreme
heat

1.2

1.1

1.0

0.9

0.8

1.1

1.0

0.9

1.2

1.1

1.0

0.9

0.8

1.1

1.0

0.9

1.2

1.1

1.0

0.9

0.8

1

–3

2

3

0

–1

–2

1

–3

2

3

0

–1

–2

P

 = 0.61

P

 = 0.68

P

 = 0.65

P

 = 0.01

P

 = 0.002

P

 = 0.18

Year from event

Year from event

Year from event

Maize (

n

 = 28)

Rice (

n

 = 16)

Wheat (

n

 = 32)

Maize (

n

 = 208)

Rice (

n

 = 171)

Wheat (

n

 = 234)

*

*

*

*

*

*

Figure 4

 | 

The influence of drought and extreme heat on maize, rice and 

wheat. a

–

f

, Drought and extreme heat composites of production (

a

, 

d

), 

yield (

b

, 

e

) and harvested area (

c

, 

f

) for maize (blue), rice (red) and wheat 

(green), with significant points (those lying beyond the control box plot 

whiskers) marked by asterisks (box plots not shown for clarity). 

P

 values 

reflect significant differences between crops in disaster-year response 

(Kruskal–Wallis test). Maize production (

n

 

=

 28) responds more (

P

 

=

 0.01) 

to extreme heat than wheat (

n

 

=

 32) and rice (

n

 

=

 16), an effect driven by a 

substantial yield deficit (

P

 

=

 0.002). For drought data, maize (

n

 

=

 208), rice 

(

n

 

=

 171) and wheat (

n

 

=

 234).

Production

Yield

Harvested area

Year from event

Year from event

Year from event

1

–3

2

3

0

–1

–2

1

–3

2

3

0

–1

–2

P

 = 0.02

P

 = 0.002

P

 = 0.13

a

b

c

Normalized composite

1

–3

2

3

0

–1

–2

1.10

1.05

1.00

0.95

0.90

0.85

0.80

1.10

1.05

1.00

0.95

0.90

0.85

0.80

1.10

1.05

1.00

0.95

0.90

0.85

0.80

Eur., N.Am., Aus. (

n

 = 28)

Asia (

n

 = 32)

Africa (

n

 = 125)

L.Am. & Carib. (

n

 = 37)

*

*

*

*

*

Figure 3

 | 

A regional analysis of the influence of drought. a

–

c

, Regional 

composites of production (

a

), yield (

b

) and harvested area (

c

) for 

drought, with significant points (those lying beyond the control box plot 

whiskers) marked by asterisks (box plots not shown for clarity). 

P

 values 

reflect significant differences between regions in drought-year response 

(Kruskal–Wallis test). The drought-year normalized production is 7.8% 

and 10.7% lower (

P

 

=

 0.02) in developed Western countries (

n

 

=

 28) 

than in Asia (

n

 

=

 32) and Africa (

n

 

=

 125) (

a

), a difference driven by a 

significantly greater yield deficit (

P

 

=

 0.002) (

b

). Meanwhile, the Latin 

America (L.Am) and Caribbean (Carib.) region (

n

 

=

 37) exhibits no 

significant response to drought. Aus., Australasia; Eur, Europe; N.Am., 

North America.

© 2016 Macmillan Publishers Limited. All rights reserved

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Letter

reSeArCH

Finally, our regional and crop-specific analysis finds that developed 

nations suffer most from these EWDs.

Present climate projections suggest that extreme heat events will be 

increasingly common and severe in the future

1

. Droughts are likely 

to become more frequent in some regions, although considerable 

uncertainty persists in the projections

6

. This study, by highlighting 

the important historical effects of EWDs on agriculture, emphasizes 

the urgency with which the global cereal production system must 

adapt to extremes in a changing climate. Understanding the key pro-

cesses leading to such crop losses enables an informed prioritiza-

tion of disaster risk reduction and adaptation interventions to better 

protect the most vulnerable farming systems and the populations 

dependent on them.

Online Content 

Methods, along with any additional Extended Data display items and 

Source Data, are available in the online version of the paper; references unique to 

these sections appear only in the online paper.

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Supplementary Information 

is available in the online version of the paper.

Acknowledgements

 We thank R. Below, who is in charge of the EM-DAT project 

at the Centre for Research on the Epidemiology of Disasters, for sharing the 

data. We thank C. Champalle for testing the original idea using data over East 

Africa in a class project. This research was supported by a Discovery Grant from 

the Natural Science and Engineering Research Council of Canada to N.R.

Author Contributions

 This research was designed and coordinated by N.R. All 

authors performed analyses, discussed the results, and wrote the manuscript.

Author Information

 Reprints and permissions information is available at 

www.nature.com/reprints. The authors declare no competing financial 

interests. Readers are welcome to comment on the online version of the paper. 

Correspondence and requests for materials should be addressed to  

N.R. (navin.ramankutty@ubc.ca).

a

b

Earlier (1964–1984)

n

 = 126

Later (1985–2007)

n

 = 121

Year from event

Year from event

1.1

1.0

0.9

1.1

1.0

0.9

–3

–2

–1

0

1

2

3

–3

–2

–1

0

1

2

3

Normalized composite

Figure 5

 | 

A temporal analysis of the influence of drought.  

a

, 

b

, Production composites for earlier (1964–1984, 

n

 

=

 126) (

a

) and  

later (1985–2007, 

n

 

=

 121) (

b

) droughts, with boxplots of 100 respective 

control composites. In later instances, mean drought-year production 

losses were greater (13.7%) than in earlier instances (6.7%; 

P

 

=

 0.008, 

Kruskal–Wallis test).

© 2016 Macmillan Publishers Limited. All rights reserved

Page 5

Figures and page graphics, page 5

Letter

reSeArCH

MethOdS

Superposed epoch analysis (SEA) is used to isolate an average EWD response 

signal using time series of national agricultural production data and EWDs. SEA is 

a statistical approach that has been used to enhance the signal (that is, influence of 

particular events) in time-series data, while reducing noise due to extraneous vari-

ables

19

. The EWDs are compiled from the Emergency Events Database (EM-DAT; 

http://www.emdat.be/database) and consist of 2,184 floods, 497 droughts, 138 

extreme heat and 194 extreme cold disasters from 177 countries over the period 

1964–2007. EM-DAT collects information on a reported disaster if at least ten peo-

ple died, a state of emergency was declared, international assistance was called, or 

at least 100 people were injured, made homeless or required immediate assistance. 

Disaster reports are gathered from various organizations including United Nations 

agencies, governments, and the International Federation of Red Cross and Red 

Crescent Societies

8

. The agricultural data consist of country-level total production, 

average yield, and total harvested area data for 16 cereals (http://faostat3.fao.org) 

covering the 177 countries in the set of EWDs from 1961 to 2010.

From the time series of agricultural data, we extracted shorter sets of time series 

using a 7-year window centred on the year of occurrence of each EWD, with 3 years 

of data preceding and following each EWD. The data were normalized to the aver-

age of the 3 years preceding and following the event to remove the absolute magni-

tude of national data from the signal. For multi-year droughts, we averaged across 

all drought years to produce a single disaster year datum. For a 3-year drought, 

for example, the 7-year window became a 9-year window with seven data points 

(with the middle 3 years being averaged and assigned to year 0). The 7-year sets of 

EWD time series were then centred on the disaster year and averaged year-wise to 

yield single composited time-series of production, yield and harvested area for each 

EWD type (a total of 12 composited time series). The averaging thus strengthens 

the signal at the central year of EWD occurrence, while also cancelling the noise 

in the non-disaster years preceding and following the event.

During compositing, points on individual time series co-occurring with another 

disaster in the set were excluded from the mean. This procedure resulted in variable 

sample size across the 7 years of the composites. For brevity, we have presented 

mean sample sizes across all years; complete tabulated sample sizes are displayed in 

Extended Data Tables 2 and 4. Our composited mean estimate does not seem to be 

influenced by outliers (see Extended Data Fig. 1 and Supplementary Discussion). 

The signal-to-noise strength will certainly depend on the sample size, and we 

performed an analysis to estimate the influence of sample size (see Extended Data 

Tables 2 and 4, Extended Data Fig. 2 and Supplementary Discussion).

In addition to average per-disaster estimates, we also calculated aggregate pro-

duction losses over specific time periods. For each extreme heat or drought, we 

first applied the average per-disaster percentage loss estimate (different values for 

extreme heat or drought) to the average national production across the six adjacent 

non-disaster years. We then computed the aggregate drought or heat-related global 

production loss for each year by summing the production losses for each disaster 

over the given time period. We estimated the percentage of global production lost 

to the EWDs relative to an estimated counterfactual global production in a world 

without EWDs (the latter being the sum of observed global production plus the 

estimated production loss).

The significance-testing procedure involved setting up a ‘control’ estimate by 

randomly resampling the agricultural data using sets of fictitious disasters with 

randomly generated years and countries of occurrence. The fictitious EWD time 

series were averaged as for the true ones to yield composited ‘control’ time series, 

and the entire process was repeated 1,000 times. We quantified EWD-year deficits 

in production, yield and harvested area by subtracting the true EWD time series 

from the mean of the controls. Excluding randomly generated disasters that hap-

pened to be real disasters systematically raised the impact estimates by 

~

1%; to 

present a more conservative and rigorous detection of the disaster signal, we elected 

not to exclude such pseudo-disasters. Note that we chose not to de-trend the time 

series before compositing to remove technology-driven growth, but rather simply 

estimate the disaster signal as difference from control (see Fig. 1). We estimated the 

95% confidence intervals for our point estimates of impacts using an approach sim-

ilar to a delete-one jackknife resampling method (see Supplementary Discussion).

The percentage significance of each estimate of the EWD composites relative 

to control was estimated as the percentage of 1,000 control points less than the 

EWD composite estimate for each year. Points with estimated significance of  

<

0.5% or 

>

99.5% were considered significant deficits and surpluses, respectively, 

corresponding to a two-tailed 99% confidence level. While we chose a two-tailed 

approach for robustness, we found no significant surpluses. The significant points 

appear as asterisks in Figs 2–4, while for Figs 1 and 5 we present the EWD compos-

ites with the distribution of controls represented as an array of box-and-whisker 

plots for a visual representation of significance. The complete tabulated percentage 

significance values are presented in Extended Data Tables 1, 3 and 5.

The earlier-versus-later analysis for droughts was performed by applying the 

SEA procedure to the set of droughts divided roughly equally into earlier and later 

halves. Similarly, the regional analysis was conducted by repeating SEA for full set 

of disasters divided into four regional groupings, and the by-crop composites were 

obtained by repeating SEA on the full disaster sets using crop-specific agricultural 

data from the FAO (http://faostat3.fao.org). Statistical significance of differences 

between crop-specific, regional and earlier-versus-later composites was assessed 

using the Kruskal–Wallis test. We applied a quadratic transformation to the data 

for comparison to equalize variance between groups (verified using Levene’s test), 

and used non-parametric tests when comparing groups as normal assumptions 

were not met (see Supplementary Discussion).

Code availability.

 All the core programs including codes to perform superposed 

epoch analysis and the various statistics described in this paper are available on 

Github (https://github.com/nramankutty/SEA-code).

© 2016 Macmillan Publishers Limited. All rights reserved

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Extended Data Figure 1

 | 

Distributions of individual responses to 

drought and extreme heat. a

–

f

, Histograms of disaster-year differences 

from means of 1,000 resampled controls for drought (

n

 

=

 222) (

a

–

c

) and 

extreme heat (

n

 

=

 32) (

d

–

f

). A preponderance of moderately negative 

values (falling towards the right of the red shaded areas) underlies the 

negative mean disaster year signals, with a limited influence of extreme 

cases (those at the left of the red shaded areas).

© 2016 Macmillan Publishers Limited. All rights reserved

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Extended Data Figure 2

 | 

The influence of sample size on estimated 

disaster effects. a

, 

b

, Estimated mean 16-cereal aggregated production 

deficit for extreme heat (

a

) and drought (

b

) in 200 sub-samples with size 

of (1, 2, …, 

n

) (points). Dotted grey line shows the final estimated mean 

production deficit (9.1% for extreme heat, 10.1% for drought). Most of the 

initial variability at low sample sizes dissipates into the mean at well below 

the actual sample size (

n

 

=

 39 for extreme heat, 

n

 

=

 247 for drought).

© 2016 Macmillan Publishers Limited. All rights reserved

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Extended Data Figure 3

 | 

Seasonal weather anomalies of drought and 

extreme heat disasters in EM-DAT. a

–

c

, Normalized composite mean 

growing season temperature for extreme heat (

n

 

=

 32) (

a

) and drought 

(

n

 

=

 222) (

b

), and total precipitation for drought (

c

). Box plots depict the 

distributions of 1,000 false-disaster control composites, with red crosses 

denoting extreme outliers and red dashes denoting medians. Years with 

extreme heat correspond to seasonal temperature anomalies of 1.2 °C, 

while drought years have only 0.15 °C warmer temperatures, with no 

significant precipitation anomaly.

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Extended Data Figure 4

 | 

Time series of the number of extreme heat and 

drought disasters per year from the EM-DAT database. 

The EM-DAT 

database is based on a compilation of disaster reports gathered from various 

organizations including United Nations agencies, governments and the 

International Federation of Red Cross and Red Crescent Societies. The time 

series of reported disasters per year exhibits an increasing trend, probably 

the result of more complete disaster reporting in more recent decades with a 

possible contribution from increasing disaster incidence. There is also large 

inter-annual variability in the number of disasters.

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extended data table 1

 | 

Statistical significance of 16-cereal aggregate analysis

Percentage of points on control composites less than EWD composites for 16-cereal aggregate, 1,000 control replicates total.

© 2016 Macmillan Publishers Limited. All rights reserved

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extended data table 2

 | 

Sample sizes for individual crop and 16-cereal aggregate analyses

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extended data table 3

 | 

Statistical significance of regional analysis

Percentage of points on control composites less than EWD composites for 16-cereal aggregate by region, 1,000 control replicates total.

© 2016 Macmillan Publishers Limited. All rights reserved

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extended data table 4

 | 

Sample sizes for regional analysis

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extended data table 5

 | 

Statistical significance of individual crop analysis

Percentage of points on control composites less than EWD composites for individual crop analysis, 1,000 control replicates total.

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extended data table 6

 | 

Kruskal–Wallis assumptions test results for group comparison analyses

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