Back to report · Publisher record

Iizumi & Sakai (2020). The global dataset of historical yields for major crops 1981–2016

Page 1

Figures and page graphics, page 1

1

Scientific

 

Data

 | 

           (2020) 7:97 

 | 

https://doi.org/10.1038/s41597-020-0433-7

www.nature.com/scientificdata

the global dataset of historical 

yields for major crops 1981–2016

toshichika Iizumi   

1

 ✉

 & toru Sakai

2

Knowing the historical yield patterns of major commodity crops, including the trends and interannual 
variability, is crucial for understanding the current status, potential and risks in food production in the 
face of the growing demand for food and climate change. We updated the global dataset of historical 
yields for major crops (GDHY), which is a hybrid of agricultural census statistics and satellite remote 

sensing, to cover the 36-year period from 1981 to 2016, with a spatial resolution of 0.5°. Four major 
crops were considered: maize, rice, wheat and soybean. The updated version 1.3 was developed and 
then aligned with the earlier version 1.2 to ensure the continuity of the yield time series. Comparisons 
with different global yield datasets and published results demonstrate that the GDHY-aligned version 
v1.2 

+

 v1.3 dataset is a valuable source of information on global yields. The aligned version dataset 

enables users to employ an increased number of yield samples for their analyses, which ultimately 

increases the confidence in their findings.

Background & Summary

Crop yield (production per unit harvested area) is an essential variable in many disciplines. Global yield data-

sets for the historical past have increasingly been used to analyze climate-crop relationships, food production 

potential, food supply and demand, carbon and nitrogen cycling, greenhouse gas emissions from agriculture 

and land-use change. Recently, food production losses caused by weather and climate extremes under changing 

climate and improved stakeholder preparedness are concerns for many societies as the world experiences popu-

lation growth and subsequent increases in the demand for agricultural products.

An analysis of climate-crop relationships, in particular, the consequences of weather and climate extremes 

on food production, requires a spatially explicit yield dataset spanning several decades. At the global scale, such 

a dataset has only recently been developed. The global dataset of historical yield for major crops (GDHY)

1

 is an 

example of such a dataset. The GDHY is a hybrid of agricultural census statistics and satellite remote sensing. 

Crop harvested area maps, crop calendar and share of production amount in different growing seasons for a crop 

are also used as inputs for the GDHY dataset. Therefore, the grid-cell yield values recorded in the GDHY dataset 

are model estimates rather than observations. Since its development and initial release in November 2013, efforts 

have focused on improving the data quality, assessing uncertainties and extending the time coverage to include 

more recent years.

The previous version 1.2 of the GDHY

2

,

3

 covers the period of 1981–2011. Here, we updated the GDHY dataset 

to include 2016 (that is, version 1.3) to meet the increasing demand for yield data from the scientific community, 

food agencies and agrobusinesses. However, the satellite products and reanalysis data used as the inputs for the 

development of version 1.3 are different from those used in earlier versions, as elaborated later in this article. 

This difference requires an alignment of version 1.3 with version 1.2 to ensure the continuity of the annual yield 

time series in the GDHY. Such alignment is essential for many applications in which time series analysis is often 

utilized, e.g., to depict historical yield patterns and linkages to climate variability and change.

The aligned version v1.2 

+

 v1.3 of the GDHY described in this article

4

 offers yield data for maize, rice, wheat 

and soybean for the period of 1981–2016, with a spatial resolution of 0.5° and an explicit separation of cropping 

seasons for some crops (major and second cropping seasons for maize and rice and winter and spring seasons for 

wheat). The GDHY offers spatially explicit global analyses on crop yields and is especially useful for addressing 

recent patterns in crop yields and the impacts of recent climate variability and change on global food production; 

additionally, the GDHY can be used to evaluate global gridded crop model simulations and provide a basis for 

global and seasonal crop forecasting systems.

1

national Agriculture and food Research Organization (nARO), tsukuba, Japan. 

2

Japan international Research 

center for Agricultural Sciences (JiRcAS), tsukuba, Japan. 

✉

e-mail: 

iizumit@affrc.go.jp

DaTa DesCripTor

opeN

Page 2

Figures and page graphics, page 2

2

Scientific

 

Data

 | 

           (2020) 7:97 

 | 

https://doi.org/10.1038/s41597-020-0433-7

www.nature.com/scientificdata

www.nature.com/scientificdata/

Methods

Updating the GDHY. 

The method and procedure used to provide grid-cell yield estimates for version 1.3 

of the GDHY are fully described in our related work

1

. In short, the procedure consists of four key steps: (1) 

the country’s annual yield statistics were obtained from the Food and Agriculture Organization of the United 

Nations statistical database (FAOSTAT

5

); (2) the grid-cell net primary production (NPP) was calculated using the 

remotely sensed leaf area index (LAI), the fraction of photosynthetically active radiation (FPAR), reanalysis solar 

radiation and reported crop-specific radiation-use efficiency to consider the spatial variations in yields within a 

country; (3) the harvested area map (M3-Crops

6

) and crop calendars circa 2000 (SAGE

7

) were used to address 

where and when a crop of interest was grown; and (4) when the crop calendars indicated that a crop of interest 

was harvested twice in a year, the share of production amount by different cropping season of a crop available 

in the US Department of Agriculture (USDA) report

8

 was used to differentiate the yield estimates for different 

cropping seasons. Production-weighted mean, instead of arithmetic mean, is utilized when average yield from 

two cropping seasons with different production share is computed.

Some inputs used in the development of the version 1.3 dataset were different from those used in the version 

1.2 dataset (Table 

1

). The major differences were found in the satellite products and reanalysis data. The LAI 

and FPAR inputs were changed from the GIMMS3g [Global Inventory Modeling and Mapping Studies third 

generation products from the AVHRR (Advanced Very High Resolution Radiometer)] products

9

 for the ver-

sion 1.2, to the more advanced MOD15A2 products

10

 derived from the MODIS (Moderate Resolution Imaging 

Spectroradiometer) for the version 1.3. The spatial and temporal resolutions of the MOD12A2 products (1-km 

and 8-day, respectively) were finer than those of the GIMMS3g products (0.083° or 10-km and bi-monthly or 

15-day), although the crop harvested area map with a spatial resolution of 10-km was commonly used for both 

versions 1.2 and 1.3. The daily solar radiation data were also changed from the 1.125°-resolution JRA-25 reanaly-

sis

11

 for the version 1.2 to the 0.563°-resolution JRA-55 reanalysis

12

,

13

 for the version 1.3.

The GIMMS3g NDVI (normalized difference vegetation index) used in estimating the GIMMS3g LAI 

and FPAR were calibrated against the MODIS LAI and FPAR products for the period of 2000–2009 (ref. 

9

). 

Thus, the continuity of the LAI and FPAR time series at 10-km and 15-day scales was expected. However, the 

quality-checking of the GDHY version 1.3 dataset revealed persistent discontinuities in annual yield time series 

between versions 1.2 and 1.3 for some locations, despite the use of the calibrated GIMMS3g LAI and FPAR prod-

ucts (Fig. 

1

). Yields from the version 1.3 were almost always higher than those from the version 1.2. Addressing 

the exact reasons for the discontinuities is beyond the scope of this article. However, the different reanalysis solar 

radiation products between the two versions are one possible reason. And the different spatial resolutions of the 

satellite products used in versions 1.2 and 1.3 is another possible reason. The version 1.2 dataset uses average NPP 

over the 10-km grid cell, while the version 1.3 dataset uses the maximum NPP over the 1-km cropland grid cells 

located within a 10-km grid cell. To solve this problem and supply users a version of the GDHY with continuity, 

the two versions were aligned, as elaborated in the subsequent section.

alignment. 

The two different versions of the GDHY described above were aligned according to the following 

procedure. First, in the version 1.2 dataset, the annual yield time series for a given location, crop and cropping 

season was decomposed into the linear combination of the yield trend component and the yield departure from 

the trend component:

́

=

+

.

.

.

Y

Y

Y

,

(1)

t

t

t

v1 2,

v1 2,

v1 2,

where 

.

Y

t

v1 2,

 indicates the annual yield in harvesting year 

t

 (t ha

−

1

); 

Y

v1 2

̄

.

 indicates the yield trend component or 

normal yield (t ha

−

1

); and 

Y

v1 2

.

ˊ

 indicates the yield anomaly that represents the yield departure from normal yield 

GDHY

Version 1.2

Version 1.3

Aligned version 

(v1.2 

+

 v1.3)

Reference

Iizumi 

et al

.

2

,

3

This study

Time coverage

1981–2011

2000–2016

1981–2016

Spatial coverage

Global (grid-cell yield estimates for some locations are lacking when crop calendars are not 

available)

Spatial resolution

0.5°

Crops

Maize (major/second), soybean, rice (major/second), wheat (winter/spring)

Country yield statistics

FAOSTAT

5

Satellite products

GIMMS3g 0.083° bi-monthly LAI and 

FPAR

9

MOD15A2 1-km 8-day LAI 

and FPAR

10

Hybrid of dataset 

versions 1.2 and 1.3

Solar radiation

JRA-25 reanalysis

11

 (1.125° and daily)

JRA-55 reanalysis

12

,

13

 (0.563° 

and daily)

Harvested area

M3-Crops

6

 (0.083° and average around 2000)

Crop calendar

SAGE

7

 [0.5° (unfilled version) and average around 2000]

Production share by cropping season USDA

8

 (national and average in the 1990s)

Table 1. 

A summary of the different GDHY versions considered in this article. More methodological details are 

available in Iizumi 

et al

.

1

.

Page 3

Figures and page graphics, page 3

3

Scientific

 

Data

 | 

           (2020) 7:97 

 | 

https://doi.org/10.1038/s41597-020-0433-7

www.nature.com/scientificdata

www.nature.com/scientificdata/

(t ha

−

1

). The normal yield was calculated by applying the 5-year (

t

-4 to 

t

) moving average method to the annual 

time series:

Y

Y

5

(2)

t

t

t

t

v1 2,

4 v1 2,

=

∑

.

.

−

.

The yield values in the version 1.3 dataset were also decomposed, as the version 1.2 dataset were processed 

(

́

Y

Y

Y

t

t

t

v1 3,

v1 3,

v1 3,

=

+

.

.

.

; and 

=

.

∑

−

.

Y

t

Y

v1 3,

5

t

t

t

4 v1 3,

).

Second, the two versions of the GDHY were combined into a single time series using the following rule:

=













=

…

+

′

+ ′

=

…

+

−

+ ′

=

…

.

. + .

.

.

.

.

.

.

.

.

̄

̄

̄

̄

Y

Y

t

Y

Y

Y

t

Y

Y

Y

Y

t

1981,

, 1999

2

2000,

, 2010

[

(

)]

2011,

, 2016

(3)

t

t

t

t

t

t

v1 2 v1 3,

v1 2,

v1 2,

v1 2,

v1 3,

v1 2,2010

v1 3,

v1 3,2010

v1 3

For the period of 1981–1999, in which only the version 1.2 dataset is available, the yield values in the aligned 

version (

. + .

Y

v1 2 v1 3

) are equal to those of version 1.2. For the period of 2000–2010, both versions are available. The 

normal yields were taken from version 1.2, and the average yield anomalies across the two versions were added to 

the normal yields. For the remaining period (2011–2016), only version 1.3 is available. The yield anomalies were 

taken from version 1.3. In contrast, the normal yields were computed by adding the changes in the normal yields 

between 2010 and the target years (2011–2016), as computed based on version 1.3, to the normal yield in 2010 of 

version 1.2. When the alignment led to a negative value, the yield value was replaced with zero. By using this 

procedure, the two versions were harmonized into a single aligned version referred to as the GDHY version 

v1.2 

+

 v1.3 dataset (Fig. 

1

).

Data records

The GDHY aligned version v1.2 

+

 v1.3 dataset files include the annual crop yield time series in tonnes per hectare 

(t ha

−

1

) for each grid cell. The files are in NetCDF4 format and were generated by using library version 4.6.1.0; 

they are available at XXXX/yield_YYYY.nc4, where XXXX indicates the crop and cropping seasons (i.e., maize_

major, maize_second, rice_major, rice_second, wheat_winter, wheat_spring and soybean); and YYYY indicates 

the year (i.e., 1981, 

…

, 2016). Only a single cropping season is considered for soybean. The dataset is freely avail-

able at PANGAEA

4

.

0

1

2

3

4

5

6

7

8

Yield (t ha

−1

)

1980 1985 1990 1995 2000 2005 2010 2015

0

1

2

3

4

5

Yield (t ha

−1

)

1980 1985 1990 1995 2000 2005 2010 2015

0

1

2

3

4

5

6

7

8

9

Yield (t ha

−1

)

1980 1985 1990 1995 2000 2005 2010 2015

Year

0

1

2

3

4

5

6

Yield (t ha

−1

)

1980 1985 1990 1995 2000 2005 2010 2015

Year

Maize (long=104.750, lati=13.250)

Soybean (long=303.750, lati=−30.250)

Rice (long=116.750, lati=29.250)

Wheat (long=254.750, lati=44.750)

GDHY_v1.2

GDHY_v1.3

GDHY_v1.2+v1.3

EarthStat

Fig. 1

  Yield time series in the selected locations for different versions of the GDHY. Yield data obtained from 

version 1.2, version 1.3 and aligned version v1.2 

+

 v1.3 are presented. Locations indicated by longitude and 

latitude were arbitrarily selected for explanatory purposes. Five-year average yields at three time points centered 

on 1995, 2000 and 2005 were obtained from the EarthStat dataset

13

 and are also shown for reference purposes.

Page 4

Figures and page graphics, page 4

4

Scientific

 

Data

 | 

           (2020) 7:97 

 | 

https://doi.org/10.1038/s41597-020-0433-7

www.nature.com/scientificdata

www.nature.com/scientificdata/

technical Validation

approaches for validation. 

We used two different methods to validate the GDHY aligned version 

v1.2 

+

 v1.3 dataset: (1) it was compared with another dataset developed by different research group with the 

authors; and (2) an analysis conducted in earlier peer-reviewed literature was reproduced using the aligned data-

set to confirm whether the reproduced results resemble the earlier ones when datasets with different spatial res-

olutions were analyzed.

Comparison with another dataset. 

Another global, spatially explicit, historical yield dataset described 

in Ray 

et al

.

14

 is available at the EarthStat website (

http://www.earthstat.org/

). We downloaded the dataset labeled 

“Harvested Area and Yield for 4 Crops (1995–2005)”. In this dataset, the average yield and average harvested area 

of the four crops at three time points [1995 (1993–1997), 2000 (1998–2002) and 2005 (2003–2007)] are available. 

Because the original dataset has a grid size of 5 minutes by 5 minutes in longitude and latitude, we aggregated 

the EarthStat yield data into a grid size of 0.5° by 0.5° in longitude and latitude for a consistent comparison. The 

average harvested area map at the corresponding time point from the EarthStat was used as the weight when the 

EarthStat average yield data at a given time point were spatially aggregated.

For the GDHY aligned version dataset, the average yields for the three time points were computed using the 

harvested area in 2000 as the weight throughout the study period because no time-varying harvested area map 

is available for any version of the GDHY. The changes in average yield between 1995 and 2005, relative to 2000, 

were computed using the two different datasets and are shown in Fig. 

2

. Annual time series data of the EarthStat 

dataset are not publicly accessible. Therefore, the two datasets were compared in terms of changes in average yield 

between the two time points. The calculated yield changes were color-coded according to the 10 categories (the 

8 yield change categories from “Below 

−

10%” to “Above 50%”, “No yield data are available” and “Non-cropland” 

in Fig. 

2

). Then, the inter-dataset agreement was measured by the kappa coefficient

15

 using the categorical yield 

change data. The kappa coefficient values ranged from 0.748 to 0.766, indicating good agreement between the 

EarthStat dataset and the GDHY aligned version dataset. The fact that the EarthStat dataset is solely based on 

national or subnational agricultural census statistics

14

 underpins the reliability of the GDHY aligned version 

dataset.

reproduction of earlier analysis results. 

We repeated the analysis described in Iizumi 

et al

.

16

 that esti-

mated the impacts of the El Niño Southern Oscillation (ENSO) on global yields. The GDHY version 1.0 dataset

1

 

Fig. 2

  Yield changes for the 1995–2005 period for different datasets. The EarthStat dataset (left) and the GDHY 

aligned version v1.2 

+

 v1.3 dataset (right) were used to compute the average yield at three points: 1995 (1993–

1997), 2000 (1998–2002) and 2005 (2003–2007). Changes in the average yield between 1995 and 2005, relative 

to 2000, are presented. The numbers shown in each panel indicate the kappa efficient value computed against 

the EarthStat dataset using the 10 color-coded categorical yield change data over the land area.

Page 5

Figures and page graphics, page 5

5

Scientific

 

Data

 | 

           (2020) 7:97 

 | 

https://doi.org/10.1038/s41597-020-0433-7

www.nature.com/scientificdata

www.nature.com/scientificdata/

(1.125° and the time coverage of the 25-year period from 1982 to 2006; see Table A in Supporting Information of 

Iizumi 

et al

.

2

 for more details) is used in Iizumi 

et al

.

16

. We used the GDHY aligned version dataset for the period 

of 1981–2016 for reproduction. The reason for the different time periods is that the validation of the aligned 

version dataset is the main purpose of this reproduction, and the yield data for the period of 1982–2006 in the 

aligned version are solely based on version 1.2 (see Alignment section in this article). For these reasons, we used 

the time period of 1981–2016 for the aligned version dataset, with the assumption that the average ENSO impacts 

on yield is less sensitive to the choice of time period studied. Because of the longer study period than that used in 

the original work, we replaced the Extended Reconstructed Sea Surface Temperature version 4 (ERSSTv4) data-

set

17

 with the ERSSTv5 dataset

18

. Therefore, the method used to address the yield impacts of ENSO is an expanded 

version of description in our related work

16

.

The kappa coefficient values calculated against the original results (interpolated into 0.5° resolution for a 

consistent comparison) ranged from 0.487 to 0.553 for the impacts of El Niño, which is a warmer phase of ENSO 

(Fig. 

3

). This result indicated an intermediate level of agreement in the 6 color-coded categorical yield impact 

data between the original and reproduced results. The comparison for the impacts of La Niña, a cooler phase of 

ENSO, showed a similar level of agreement, as indicated by the kappa coefficient values of 0.486–0.550 (Fig. 

4

). 

These agreement levels are reasonable if one considers the difference in spatial resolution and the subsequent 

difference in spatial coverage across the two versions. The original results have a larger spatial coverage than that 

of the reproduced results because the larger grid cells (1.125°) used in the version 1.0 dataset often have effective 

yield values even when yield data for most smaller grid cells (0.5°) located within a larger grid cell are missing.

Usage Notes

Any versions of the GDHY, including the aligned version v1.2 

+

 v1.3, are a valuable source of information on 

global yields. However, caution is necessary when the goal is to make user findings derived by analyzing the 

GDHY robust against the inherent uncertainties in the dataset. The following is a non-exclusive summary of 

technical notes users should be aware of.

The yields available in the GDHY are model estimates and not free from error due to imperfect modeling, 

inaccurate inputs, misreporting in agricultural census statistics, and use of time-constant information. Examining 

the same working hypothesis using other yield datasets (preferably, observed yields) in addition to the GDHY is 

a good practice to increase the confidence in the findings (e.g., refs. 

2

,

19

,

20

).

Different conclusions could be made if different yield datasets were analyzed

2

,

21

. Practices to avoid leading to 

conclusions sensitive to the choice of yield dataset are important. Such practice includes utilizing statistics of yield 

Fig. 3

  Yield impacts of El Niño for different versions of the GDHY. The original results of Iizumi 

et al

.

16

 are 

based on the GDHY version 1.0 dataset for the period of 1982–2006 (left), while the reproduced results are 

based on the GDHY aligned version v1.2 

+

 v1.3 dataset for 1981–2016 (right). The numbers shown in each 

panel indicate the kappa efficient value computed against the original results using the 6 color-coded categorical 

yield impact data over the land area.

Page 6

Figures and page graphics, page 6

6

Scientific

 

Data

 | 

           (2020) 7:97 

 | 

https://doi.org/10.1038/s41597-020-0433-7

www.nature.com/scientificdata

www.nature.com/scientificdata/

data (e.g., multi-year average yield, relative yield change) or categorical yield data for analysis, as was presented 

in the Technical Validation section of this article, instead of analyzing raw yield values. Similarly, different spatial 

resolutions of yield datasets could lead to different conclusions

19

,

22

,

23

, and therefore, an examination of a user’s 

conclusions against uncertainty of this kind is encouraged.

Yields in some locations are lacking in the GDHY. A country or global production total aggregated from 

grid-cell yields were underestimated if the yield dataset, of which the spatial coverage was incomplete, was ana-

lyzed. Calculating a country average yield and then multiplying it by a country’s harvested area are appropriate 

methods to obtain reasonable estimates of total production for a given spatial unit using the GDHY. Note that the 

beginning and ending years of the GDHY (i.e., 1981 and 2016, respectively, for the aligned version) have many 

missing values in the Southern Hemisphere because crop durations in the region often span two calendar years 

and yields cannot be estimated due to incomplete crop durations.

Code availability

The GDHY aligned version v1.2 

+

 v1.3 dataset is produced by combining versions 1.2 and 1.3 using a purpose-

build program written in Fortran90 with the standard mathematical library. The program code was compiled 

on the MacOS platform but is potentially applicable to other platforms (e.g., Windows and UNIX). The code is 

available from the corresponding author upon request.

Received: 4 December 2019; Accepted: 26 February 2020;

Published: xx xx xxxx

references

  1.  Iizumi, T. 

et al

. Historical changes in global yields: major cereal and legume crops from 1982 to 2006. 

Glob. Ecol. Biogeogr.

 23, 

346–357 (2014).

  2.  Iizumi, T. 

et al

. Uncertainties of potentials and recent changes in global yields of major crops resulting from census- and satellite-

based yield datasets at multiple resolutions. 

PLoS One

 13(9), e0203809 (2018).

  3.  Iizumi, T. GDHY [Data set]. 

Data Integration and Analysis System (DIAS)

, 

https://doi.org/10.20783/DIAS.528

 (2017).

  4.  Iizumi, T. Global dataset of historical yields v1.2 and v1.3 aligned version. 

PANGAEA

, 

https://doi.org/10.1594/PANGAEA.909132

 

(2020).

 5. FAO, 

FAOSTAT

 (FAO, 2019).

  6.  Monfreda, C., Ramankutty, N. & Foley, J. A. Farming the planet: 2. Geographic distribution of crop areas, yields, physiological types, 

and net primary production in the year 2000. 

Glob. Biogeochem. Cycles

 22, GB1022, 

https://doi.org/10.1029/2007GB002947

 (2008).

  7.  Sacks, W. J., Deryng, D., Foley, J. A. & Ramankutty, N. Crop planting dates: an analysis of global patterns. 

Glob. Ecol. Biogeogr.

 19, 

607–620 (2010).

 8. USDA. 

Major world crop areas and climatic profiles

, 

http://www.usda.gov/oce/weather/pubs/Other/MWCACP/MajorWorldCropAreas.

pdf

 (USDA, 1994).

Fig. 4

  Yield impacts of La Niña for different versions of the GDHY. Same as Fig. 

3

 but for La Niña.

Page 7

Figures and page graphics, page 7

7

Scientific

 

Data

 | 

           (2020) 7:97 

 | 

https://doi.org/10.1038/s41597-020-0433-7

www.nature.com/scientificdata

www.nature.com/scientificdata/

  9.  Zhu, Z. 

et al

. Global data sets of vegetation leaf area index (LAI)3g and fraction of photosynthetically active radiation (FPAR)3g 

derived from global inventory modeling and mapping studies (GIMMS) normalized difference vegetation index (NDVI3g) for the 

period 1981 to 2011. 

Rem. Sens.

 5, 927–948 (2013).

 10.  Myneni, R., Yuri, K. & Park, T. Boston University and MODAPS SIPS - NASA. MOD15A2 MODIS/Terra Leaf Area Index/FPAR 

8-Day L4 Global 1 km SIN Grid, 

https://doi.org/10.5067/MODIS/MOD15A2H.006

 (2015).

 11.  Onogi,  K. 

et al

. The JRA-25 reanalysis. 

J. Meteorol. Soc. Japan

 85, 369–432 (2007).

 12.  Kobayashi,  S. 

et al

. The JRA-55 Reanalysis: General specifications and basic characteristics. 

J. Meteor. Soc. Japan

 93, 5–48 (2015).

 13.  Harada,  Y. 

et al

. The JRA-55 Reanalysis: Representation of atmospheric circulation and climate variability. 

J. Meteor. Soc. Japan

 94, 

269–302 (2016).

 14.  Ray, D. K., Ramankutty, N., Mueller, N. D., West, P. C. & Foley, J. A. Recent patterns of crop yield growth and stagnation. 

Nat. 

Commun.

 3, 1293 (2012).

 15.  Cyr, L. & Francis, K. Measures of clinical agreement for nominal and categorical data: The kappa coefficient. 

Comput. Biol. Med.

 22, 

239–246 (1992).

 16.  Iizumi,  T. 

et al

. Impacts of El Niño Southern Oscillation on the global yields of major crops. 

Nat. Commun.

 5, 3712 (2014).

 17.  Huang,  B. 

et al

. Extended Reconstructed Sea Surface Temperature version 4 (ERSST.v4): Part I. Upgrades and intercomparisons. 

J. 

Clim.

 28, 911–930 (2014).

 18.  Huang,  B. 

et al

. NOAA Extended Reconstructed Sea Surface Temperature (ERSST), Version 5, 

https://doi.org/10.7289/V5T72FNM

 

(NOAA National Centers for Environmental Information, 2017).

 19.  Iizumi, T. & Ramankutty, N. Changes in yield variability of major crops for 1981–2010 explained by climate change. 

Environ. Res. 

Lett.

 3, 034003 (2016).

 20.  Schauberger, B., Gornott, C. & Wechsung, F. Global evaluation of a semiempirical model for yield anomalies and application to 

within-season yield forecasting. 

Glob. Change Biol.

 23, 4750–4764 (2017).

 21.  Müller,  C. 

et al

. Global gridded crop model evaluation: benchmarking, skills, deficiencies and implications. 

Geosci. Model Dev.

 10, 

1403–1422 (2017).

 22.  Challinor, A. J., Parkes, B. & Ramirez-Villegas, J. Crop yield response to climate change varies with cropping intensity. 

Glob. Change 

Biol.

 21, 1679–1688 (2015).

 23.  Porwollik,  V. 

et al

. Spatial and temporal uncertainty of crop yield aggregations. 

Euro. J. Agron.

 88, 10–21 (2017).

acknowledgements

T.I. was partly supported by Grant-in-Aid for Scientific Research (No. 16KT0036, 17K07984 and 18H02317) of 

the Japan Society for the Promotion of Science, The Environment Research and Technology Development Fund 

(S-14) of the Environmental Restoration and Conservation Agency, Japan and the Joint Research Program of Arid 

Land Research Center, Tottori University (30F2001).

author contributions

T.I. designed the study, developed the GDHY version 1.3 dataset, conducted the alignment and technical 

validation, and drafted the manuscript. T.S. collected, processed and quality-checked the inputs used to provide 

the GDHY version 1.3 dataset and helped write the manuscript.

Competing interests

The authors declare no competing interests.

additional information

Correspondence and requests for materials should be addressed to T.I.
Reprints and permissions information is available at 

www.nature.com/reprints

.

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and 

institutional affiliations.

Open Access This article is licensed under a Creative Commons Attribution 4.0 International 

License, which permits use, sharing, adaptation, distribution and reproduction in any medium or 

format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Cre-

ative Commons license, and indicate if changes were made. The images or other third party material in this 

article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the 

material. If material is not included in the article’s Creative Commons license and your intended use is not per-

mitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the 

copyright holder. To view a copy of this license, visit 

http://creativecommons.org/licenses/by/4.0/

.

The Creative Commons Public Domain Dedication waiver 

http://creativecommons.org/publicdomain/zero/1.0/

 

applies to the metadata files associated with this article.

 

© The Author(s) 2020


Document Outline