Skip to main content

Advertisement

Log in

Resilience, Weather and Dynamic Adjustments in Agroecosystems: The Case of Wheat Yield in England

  • Published:
Environmental and Resource Economics Aims and scope Submit manuscript

Abstract

The paper presents an investigation of agroecosystem dynamics with an application to wheat yield data in England over the period 1885–2012. The analysis relies on a Threshold Quantile Autoregressive model. The model allows for lag effects to vary across quantiles of the distribution as well as with the values taken by the lagged variables. The analysis documents the dynamics and persistence of yield adjustments to shocks. The estimates indicate the presence of dynamic instability in the lower quantile of the distribution. The analysis shows that, after controlling for the role of technological trend, wheat yield exhibits resilience to adverse weather shocks.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Notes

  1. For a comprehensive analysis of different drivers to transitional dynamics, see Bretschger and Pittel (2008).

  2. According to Levin et al. (1998), resilience should be the preferred way to think about sustainability.

  3. Note that much research has been conducted on agricultural productivity and its determinants. For example, the effects of weather shocks on crop yields has been investigated by Lobell and Field (2007) Lobell et al. (2011), Nelson et al. (2010), Robertson et al. (2013), Schlenker and Roberts (2009), Tack et al. (2012), Willenbockel (2012), among others. But these analyses have typically been conducted in a static context and do not provide information about dynamic adjustments or resilience. To our knowledge, the only exception is the study of Di Falco and Chavas (2008) on the resilience of cereals agroecosystem using dynamic panel data.

  4. Extending the dynamics to higher moments has also been done in generalized autoregressive conditional heteroscedastic (GARCH) models (e.g., Bollerslev 1986). Other extensions have explored nonlinear dynamics (e.g., Pesaran and Potter 1992; Potter 1995), including threshold autoregressive models (Tong 1990; Cao and Tsay 1992), smooth transition autoregressive models (Terasvita and Anderson 1992) and Markov switching models (Hamilton 1989).

  5. Previous literature on threshold autoregression has often focused on two regimes defined according to a single lagged variable (e.g., Tong 1990; Cai and Stander 2008; Galvao et al. 2011). By allowing for multiple regimes across multiple lagged variables, our specification imposes fewer restrictions on dynamics.

  6. This is the assumption made in Markov representations of dynamic processes (e.g., Billingsley 1961; Meyn and Tweedie 1993).

  7. Note that there no loss of generality to assume that the \(\hbox {e}_{\mathrm{t}^{\prime }}\hbox {s}\) in (3a) are independently distributed over time since any serial dependency can be captured by elements of \(\hbox {z}_\mathrm{t}\) and their associated dynamics in (2a)–(2b).

  8. The case of discrete distribution is a special case. When \(\hbox {w}_\mathrm{t}\) can take s possible values {\(\hbox {a}_\mathrm{1}, {\ldots }, \hbox {a}_\mathrm{s}\)}, the transition probability from \(\hbox {w}_\mathrm{t-1} = \hbox {a}_\mathrm{i}\) to \(\hbox {w}_\mathrm{t} = \hbox {a}_\mathrm{j}\) is \(\hbox {P}(\hbox {i, j}) = \hbox {Prob}[\hbox {w}_\mathrm{t} = \hbox {a}_\mathrm{j} {\vert } \hbox {w}_\mathrm{t-1} = \hbox {a}_\mathrm{i}, \hbox {w}_\mathrm{t} = \hbox {h}(\hbox {w}_\mathrm{t-1}, \hbox {e}_\mathrm{t}), \hbox {i}, \hbox {j} \in \hbox {J} = \{1, {\ldots }, \hbox {s}\}\). Letting \(\hbox {p}_\mathrm{j,t} = \hbox {Prob}[\hbox {w}_\mathrm{t} = \hbox {a}_\mathrm{j}], \hbox {j} \in \hbox {J}\), the dynamics is then represented by the Markov chain: \(\hbox {p}_\mathrm{j,t}={\Sigma }_{\mathrm{i} \in \mathrm{J}} \hbox {P}(\hbox {i, j}) \hbox {p}_\mathrm{i,t-1}, \hbox {j} \in \hbox {J}\) (e.g., Billingsley 1961; Meyn and Tweedie 1993).

  9. In addition, under a deterministic dynamic system, the largest Lyapunov exponent defined as \(\hbox {LE}(\hbox {w}_\mathrm{0}) = \hbox {lim}_{\mathrm{t}\rightarrow \mathrm{\infty }} (1/\hbox {t}) \sum _\mathrm{i=1}^\mathrm{t} \hbox { ln}({\vert } {\uplambda }_\mathrm{1}(\hbox {w}_\mathrm{i}){\vert }\) measures the rate of expansion of the state trajectory along a forward path starting at \(\hbox {w}_\mathrm{0}\). Under some regularity conditions, a deterministic system is asymptotically stable starting at \(\hbox {z}_\mathrm{0}\) if \(\hbox {LE}(\hbox {w}_\mathrm{0}) < 0\); and it is chaotic if \(\hbox {LE}(\hbox {z}_\mathrm{0}) > 0\).

  10. The Appendix also presents monthly rainfall and temperature in England during the period 1885–2012, data obtained from the Met Office Hadley Centre (2013).

  11. The BIC criterion is to choose the model specification that minimizes \(\hbox {BIC} = - 2 \ln (\hbox {L}) + \hbox {k} \ln (\hbox {n})\), where L is the likelihood function of the estimated model, k is the number of parameters and n is the number of observations (Schwarz 1978).

  12. The BIC criterion was 133.6, 128.2, 131.1, 135.9 and 140.6 for an AR(1), AR(2), AR(3), AR(4) and AR(5), respectively, with a minimum achieved for an AR(2).

  13. We treat the four regimes \((\hbox {S}_\mathrm{1}, \hbox {S}_\mathrm{2}, \hbox {S}_\mathrm{3}, \hbox {S}_\mathrm{4})\) as given. This simplifies the analysis and avoids identification issues between the parameters and the thresholds used to define regimes. Note that the case of quantile regression with unknown threshold points is analyzed by Oka and Qu (2011) and Galvao et al. (2011).

  14. The BIC criterion was 140,6, 131.1, 131.3, 135.8 and 140.1 for an AR(1), AR(2), AR(3), AR(4) and AR(5), respectively, with a minimum achieved for an AR(2).

  15. The results reported in Table 4 assume linear temperature and rainfall effects. This structural analysis was also done in the presence of quadratic temperature and rainfall effects, thus capturing nonlinear weather impacts (e.g., Schlenker and Roberts 2009). Introducing nonlinear weather effects did not affect the qualitative conclusions presented below. These structural estimates are available from the authors upon request.

References

  • Arrow K, Bolin B, Costanza R, Dasgupta P, Folke C, Holling CS, Jansson BO, Levin S, Maler KG, Perrings C, Pimentel D (1995) Economic growth, carrying capacity and the environment. Science 268:520–521

    Article  Google Scholar 

  • Billingsley P (1961) Statistical inference for Markov processes. University of Chicago Press, Chicago

    Google Scholar 

  • Bollerslev T (1986) Generalized autoregressive conditional heteroscedasticity. J Econom 31:307–327

    Article  Google Scholar 

  • Bretschger L, Pittel K (2008) From time zero to infinity: transitional and long-run dynamics in capital-resource economies. Environ Dev Econ 13(2008):673–689

    Article  Google Scholar 

  • Breusch TS (2008) Testing for autocorrelation in dynamic linear models. Aust Econ Pap 17:334–355

  • Cai Y, Stander J (2008) Quantile self-exciting threshold time series models. J Time Ser Anal 29:187–202

    Google Scholar 

  • Cao CQ, Tsay RS (1992) Nonlinear time-series analysis of stock volatilities. J Appl Econom 7:S165–S185

    Article  Google Scholar 

  • Common M, Perrings C (1992) Towards an ecological economics of sustainability. Ecol Econ 6:7–34

    Article  Google Scholar 

  • Derissen S, Quaas MF, Baumgärtner S (2011) The relationship between resilience and sustainable development of ecological-economic systems. Ecol Econ 70:1121–1128

    Article  Google Scholar 

  • Di Falco S, Chavas JP (2008) Rainfall shocks, resilience and the effects of crop biodiversity on agroecosystem productivity. Land Econ 64:83–96

    Article  Google Scholar 

  • Di Falco S, Veronesi M, Yesuf M (2011) Does adaptation provides food security? Micro evidence from Ethiopia. Am J Agric Econ 93:829–846

    Article  Google Scholar 

  • Enders W (2010) Applied econometric time series, 3rd edn. Wiley, New York

    Google Scholar 

  • Folke C, Carpenter SR, Walker BH, Scheffer M, Elmqvist T, Gunderson LH, Holling CS (2004) Regime shifts, resilience, and biodiversity in ecosystem management. Annu Rev Ecol Evol Syst 35:557–581

    Article  Google Scholar 

  • Galvao A, Montes-Rojas G, Olmo J (2011) Threshold quantile autoregressive model. J Time Ser Anal 32:253–267

    Article  Google Scholar 

  • Gunderson LH (2000) Ecological resilience in theory and application. Annu Rev Ecol Syst 31:425–439

    Article  Google Scholar 

  • Hamilton JD (1989) A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57:357–384

    Article  Google Scholar 

  • Hamilton JD (1994) Time series analysis. Princeton University Press, Princeton

    Google Scholar 

  • Hansen B (2000) Sample splitting and threshold estimation. Econometrica 68:575–603

    Article  Google Scholar 

  • Holling CS (1973) Resilience and stability of ecological systems. Annu Rev Ecol Syst 4:1–23

    Article  Google Scholar 

  • Holling CS, Walker BH (2003) Resilience defined. In: International Society of Ecological Economics (ed.) Internet Encyclopedia of Ecological Economics. [Online] http://www.ecoeco.org/pdf/resilience.pdf

  • IPCC, Intergovernmental Panel of Climate Change (2014) Summary for policymakers. In: Field CB, Barros VR, Dokken DJ, Mach KJ, Mastrandrea MD, Bilir TE, Chatterjee M, Ebi KL, Estrada YO, Genova RC, Girma B, Kissel ES, Levy AN, MacCracken S, Mastrandrea PR, White LL (eds) Climate change 2014: Impacts, adaptation, and vulnerability. Part A: Global and sectoral aspects. Contribution of working group II to the fifth assessment report of the intergovernmental panel on climate change. Cambridge University Press, Cambridge, United Kingdom and New York, NY, USA, pp 1–32

  • Koenker R (2005) Quantile regression. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Koenker R, Xiao Z (2006) Quantile autoregression. J Am Stat Assoc 101:980–990

    Article  Google Scholar 

  • Kurukulasuriya P, Kala N, Mendelsohn R (2011) Adaptation and climate change impacts: a structural Ricardian model of irrigation and farm income in Africa. Clim Change Econ 2:149–174

    Article  Google Scholar 

  • Levin SA, Barrett S, Anyar S, Baumol W, Bliss C, Bolin B, Dasgupta P, Ehrlich P, Folke C, Gren IM, Holling CS, Jansson A, Jansson BO, Mäler KG, Martin D, Perrings C, Sheshinski E (1998) Resilience in natural and socioeconomic systems. Environ Dev Econ 3:221–235

    Article  Google Scholar 

  • Lobell DB, Field CB (2007) Global scale climatic-crop yield relationships and the impacts of recent warming. Environ Res Lett 2:1–7

    Article  Google Scholar 

  • Lobell DB, Schlenker W, Costa-Roberts J (2011) Climate trends and global crop production since 1980. Science 333:616–620

    Article  Google Scholar 

  • Mäler KG (2008) Sustainable development and resilience in ecosystems. Environ Resour Econ 39:17–24

    Article  Google Scholar 

  • Mäler KG, Xepapadeas A, de Zeeuw A (2003) The economics of shallow lakes. Environ Resour Econ 26:603–624

    Article  Google Scholar 

  • Mendelsohn R, Nordhaus WD, Shaw D (1994) The impact of global warming on agriculture: a Ricardian analysis. Am Econ Rev 84(4):753–771

    Google Scholar 

  • Meyn SP, Tweedie RL (1993) Markov chains and stochastic stability. Springer, London

    Book  Google Scholar 

  • Met Office Hadley Center (2013) Observations Datasets, http://www.metoffice.gov.uk/hadobs/index.html

  • Nelson GC, Rosegrant MW, Palazzo A, Gray I, Ingersoll C, Robertson R, Tokgoz S, Zhu T, Sulser TB, Ringler C, Msangi S, You L (2010) Food security, farming, and climate change to 2050: scenarios,results, policy options research monograph, International Food Policy Research Institute, Washington, DC

  • Oka T, Qu Z (2011) Estimating structural changes in regression quantiles. J Econom 162:248–267

    Article  Google Scholar 

  • Perrings C (1998) Resilience in the dynamics of economy-environment systems. Environ Resour Econ 11:503–520

    Article  Google Scholar 

  • Pesaran MH, Potter SM (1992) Nonlinear dynamics and econometrics: an introduction. J Appl Econom 7:51–57

    Article  Google Scholar 

  • Potter SM (1995) A nonlinear approach to US GNP. J Appl Econom 10:109–125

    Article  Google Scholar 

  • Ray DK, Gerber JS, MacDonald GK, West PC (2015) Climate variation explains a third of global yield variability. Nat Commun 6:1–9

    Article  Google Scholar 

  • Robertson R, Nelson G, Thomas T, Rosegrant M (2013) Incorporating process-based crop simulation models into global economic analyses. Am J Agric Econ 95:228–235

    Article  Google Scholar 

  • Rockwood LL (2006) Introduction to population ecology. Blackwell, Malden

    Google Scholar 

  • Schwarz GE (1978) Estimating the dimension of a model. Ann Stat 6:461–464

    Article  Google Scholar 

  • Schlenker W, Roberts MJ (2009) Nonlinear temperature effects indicate severe damages to U.S. crop yields under climate change. Proc Natl Acad Sci USA 106:15594–15598

    Article  Google Scholar 

  • Schlenker W, Hanemann WM, Fisher AC (2006) The impact of global warming on U.S. agriculture: an econometric analysis of optimal growing conditions. Rev Econ Stat 88(1):113–125

    Google Scholar 

  • Schlenker W, M Hanemann W, Fisher AC (2005) Will U.S. agriculture really benefit from global warming? Accounting for irrigation in the hedonic approach. Am Econ Rev 95:395–406

    Article  Google Scholar 

  • Seo N, Mendelsohn R (2008) A Ricardian analysis of the impact of climate change on South American farms. Chil J Agric Resour 68:69–79

    Google Scholar 

  • Tack J, Harri A, Coble K (2012) More than mean effects: modeling the effect of climate on the higher order moments of crop yields. Am J Agric Econ 94:1037–1054

    Article  Google Scholar 

  • Tong H (1990) Non-linear time series: a dynamical system approach. Clarendon Press, Oxford

    Google Scholar 

  • Tsong CC, Lee CF (2011) Asymmetric inflation dynamics: evidence from quantile regression analysis. J Macroecon 33:668–680

    Article  Google Scholar 

  • UK Farming Statistics (2013) Cereal production survey. National Statistics, York

    Google Scholar 

  • Walker BH, Salt D (2006) Resilience thinking: sustaining ecosystems and people in a changing world. Washington, DC

  • Willenbockel D (2012) Extreme weather events and crop price spikes in a changing climate. Oxfam research report, Sept

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Salvatore Di Falco.

Additional information

We would like to thank useful comments from two anonymous reviewers and the associate editor on an earlier draft of the paper. We also thank Elvezio Ronchetti for suggestions. This research was supported in part by a Graduate School research grant from the University of Wisconsin, Madison.

Appendix

Appendix

 Data on monthly rainfall (mm) in England, 1885--2012

Year

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

NOV

DEC

1885

68.3

93.1

49.5

63.2

80.1

62.5

24.5

61.2

127.1

147.6

98.5

42

1886

120.2

29.5

77.6

59

123.1

31.9

105.3

52.2

72.1

135.6

99.4

145.2

1887

71.8

24.1

49.8

36.6

54

20.8

38.1

53.4

94.2

71.4

86.1

69

1888

39

38.9

97.2

49.8

35.7

73.9

156.6

86.3

34.2

43.5

150.1

73.1

1889

38.2

60.2

78

80.3

94.8

23.2

87.8

98.3

58.8

127.9

43.5

58.2

1890

106.3

29

61

44.5

68.1

79.8

87.1

97.5

45.3

56.2

117.2

34.4

1891

67.2

3.6

59

45

83.2

53.9

84.6

149.3

65.6

162.3

90.7

132.2

1892

53.5

58.1

29.5

38

60.9

80.5

67.4

100.5

87.5

131.6

69.2

52.5

1893

57.8

103.5

15.8

9.9

45.8

38.9

104.4

61.4

58.2

98.6

74

87.9

1894

89

85.8

56.1

55

65.8

72.8

102.4

88.7

50.1

120.8

114.2

79.4

1895

100.9

11.1

73.9

55.2

17.7

38.1

116.9

92.4

23.3

113.3

122.2

90.8

1896

36

24.4

99.6

30.4

12

69.5

52.5

62.6

160.7

113

40.7

137.3

1897

61.7

90.8

108.8

69.3

39.8

77.7

36.5

117.5

93.9

38.2

69.2

112.4

1898

40.6

51.8

40.1

57.9

88.9

55.9

25.2

85.1

27.8

117.5

87.5

92.1

1899

119.3

75.5

35.6

79.8

70.1

43.2

49.8

39.9

92.9

81.6

79.2

73.2

1900

118

131.7

30.7

43.7

46.6

85.2

48.1

112

31.8

104.6

99.2

123.6

1901

56.3

41.7

70.4

73.8

35

57.2

71.9

68

56

72.3

66.5

136.1

1902

44.9

44.4

54.2

45.8

72.5

71.5

57.1

93.7

48.5

78.2

75.2

71.6

1903

96.7

38.8

109.5

58.5

83.7

82.9

103.9

122.7

102.9

218.1

70.1

72.5

1904

99

112.1

50.7

46.1

74.4

32.8

74.9

82.4

58.1

44.4

62.7

77.6

1905

38.8

36.3

102.4

72.4

22.5

81.5

37.4

105.4

57

67.1

111.9

31.8

1906

135.7

78.7

57.6

29.4

84

66.2

34

70.1

33.7

146.9

109.8

80.1

1907

38.5

46.8

43.2

81.3

91.4

91

67.3

73.9

22.6

152.6

78

112.5

1908

55.7

54.6

91.9

76.2

60.1

36.1

85.4

94.8

69

56.2

48.6

78.2

1909

46.3

26.8

106.5

64.3

45.8

84.6

91.7

79

77.6

141.6

33

135.4

1910

90.6

103.4

27.2

68.9

63.9

70

83.7

106.4

16.4

100

128

138.5

1911

39.5

62

57.9

46.8

37.2

79.1

15.8

54.9

64.2

95.9

116.2

169.6

1912

107.2

60.9

118.4

9

56.6

122.4

94.4

192.9

50

98.7

76.3

111.8

1913

124.4

34

106.8

98.2

68.6

39.9

32.6

41.9

65.6

105.5

96.7

54.2

1914

48.6

82.1

119.7

37

47.9

61.8

94.2

61.5

48.5

68.9

109.5

190.8

1915

108.7

123.5

35.4

35.7

69.8

35

126

76.7

47

72.7

75

184.9

1916

56.6

132

107.1

47.4

71.7

70.4

55.4

88.8

51.9

138.9

111.9

95.9

1917

58.4

31.9

68.4

54.3

60.7

65.8

65.1

172

55.5

129.6

60.3

41.1

1918

91.2

61.6

36.7

63.3

58.5

30.9

110

62.9

189.5

69.1

66.3

122.5

1919

122.4

79

120

66.3

25.4

36.5

57.9

79

52.4

62.3

77.8

146.7

1920

108.3

43

82

116.5

74.6

66.9

132.4

50.6

71.1

70.9

44.9

92.1

1921

107.2

10.2

58.5

33.3

46.5

10.3

29.3

93.5

40.9

52.2

70.9

76.2

1922

109.4

89.7

68

82.3

34

40.4

126.3

100.3

79.4

33.4

48.7

116.4

1923

63.5

152.7

52.8

70.6

69.8

19.4

79.4

92.7

82.5

137.4

92.3

100

1924

94.1

27.6

37.6

72.9

122.4

67.2

118.4

98.5

114.6

132.7

72.8

123.9

1925

82.3

124.2

32.8

74.2

96.5

4.3

81.3

91

98.6

106.7

76.6

98.8

1926

114.1

80.3

24.5

65.2

69.3

81.1

76.2

66

58.1

87.6

157.9

24.5

1927

94.7

80.5

89

59.2

37.8

101.3

96

139.5

154

70.8

101.9

83.5

1928

160.3

76.3

78.6

39.2

40

97

60.3

95.2

29.8

144.4

112.1

90

1929

49.1

31.5

8

34.9

62.6

46.7

66.4

71.8

23.6

124.3

195.9

179

1930

125.1

26.1

65.3

71

62

33.1

109.1

104.4

110.8

92.4

128.1

97.5

1931

79.6

79.1

26

93.8

93.5

93.2

108.4

116.8

77.9

32.1

135.6

45.8

1932

90

8.9

59.7

83

129.6

35.6

99.9

48.8

93.9

162.3

61

49.9

1933

66.9

95.8

75

36.8

55.8

56.6

63.7

33.3

60.6

98.4

46.3

28.5

1934

78.3

11.9

72.2

75.1

39.6

48.3

45.7

79.1

70.2

82.4

63.4

183.5

1935

42.3

102.5

25.4

101.6

37.2

96.2

27.2

65.1

137.2

135.3

151.6

93.6

1936

124.4

72

58.2

54.5

30.8

99.5

138

28.4

90.8

60.8

107.3

90.9

1937

129

142.1

89.5

81.3

77.5

42.1

63.8

42.8

62.7

81.2

51.1

98.5

1938

114.5

33

16.5

7.1

71.8

54.9

80.9

89.9

60.2

134.4

120.5

108.6

1939

156.2

54.1

57.2

68.7

32.7

63

118.6

78.3

31.6

124.6

162.1

60.5

1940

73.6

75.5

79.8

61.3

41.4

20.9

112.5

15

48.6

108.7

196.5

73.1

1941

90.4

100.9

90.9

42

63.6

36.2

74.8

126.7

20.4

79.2

84.4

57.2

1942

106.8

28.8

65.9

43.1

105.7

21

75.7

86.3

66.4

100.4

42

98.3

1943

147.1

46.8

26.1

37.5

84.4

59

56

83.7

85.7

85.2

68.5

52.2

1944

82.4

39.4

11.5

58.8

41.2

61.7

70.2

81.1

104.3

118

155.2

70.3

1945

82.3

80.3

32.5

43.5

83.2

83.1

81.4

70.8

64.6

106.2

17

102.3

1946

85.8

89.1

37.7

45.5

78.8

85.9

73.7

138.1

125.1

40.2

158

94.3

1947

82.5

58.3

177.5

77.5

58.8

66.6

65.4

14.4

46.7

22.2

81.3

81.7

1948

176.8

49.9

34.9

53.8

72.7

91.2

45.3

122.8

72.6

77.2

55.8

110.2

1949

42.3

40.6

42.9

63.5

68.1

18.1

50.7

53.1

47.1

162

111.4

89.8

1950

38.9

143.6

39.3

72.3

56.8

45.7

105.6

121.3

126.7

41.1

152.3

71.5

1951

98.9

114.1

116.2

73

80.3

36.9

52.6

131.2

81.4

33.2

180.4

96.4

1952

86.9

25.8

77.1

60.8

66.1

55.1

34.7

104.1

95.3

107.3

100.5

88

1953

31.8

50.5

30.1

72.8

62

66.3

98.9

84.6

83.2

71.4

68.8

34.5

1954

63

81.6

76.5

16.1

80.4

94.2

88.8

123.7

96.6

117.6

163.9

90.2

1955

84.8

64.1

53.9

32.1

104.1

84.7

26.1

27

52.2

75.7

58.7

110

1956

123.1

25.6

31.7

42.9

21.9

71.2

101.3

158.6

92.5

56.5

33.3

106.9

1957

74.5

100.7

72.1

9.7

44.8

51.8

104

109.2

121.6

73.6

65.1

76.8

1958

99.9

116

49.9

30.8

85.2

110.9

95.7

102.9

120.7

82.3

58.5

104.6

1959

104.5

8.7

70.3

78.9

27.6

46.7

69.7

38

8

90.7

119.8

164.9

1960

125.3

84.1

52.4

46.6

47.8

51.9

119.7

111.4

117.8

171

149.8

117.2

1961

118.9

73.8

15.7

98.8

39

39.5

67.6

85.2

80.1

117.9

62.6

106.1

1962

114

37.1

46.5

72.9

64.3

17.8

59.2

109

106.9

38

69.7

78.4

1963

31.9

34.9

101.6

80

49.5

84.9

54.9

111.4

71.6

61.4

165.9

30.1

1964

26.4

32.4

98

68.7

59.5

77.9

49.7

54.5

34.2

62.1

62.3

99.8

1965

104.8

16.4

75.4

61.7

67.5

74.1

97.4

75.2

138.3

33.9

114.2

173.1

1966

60.3

129.6

34.7

111.5

69.4

87.9

73.7

112.2

55.7

129.5

78.9

117.6

1967

62.1

92.2

55.9

47.6

140.7

41.3

66.7

77.3

102.5

171.9

73.2

78.5

1968

85.8

47.6

59.5

68.8

78.7

94

107.8

72.2

148.1

99

69.6

84.2

1969

101.5

68.9

79.5

57

115.8

51.3

70.3

76.5

41.3

17.5

138.3

87.1

1970

109.9

90.6

64.2

88.7

24.2

40.7

73.8

80

67.7

61.9

178.6

53.9

1971

112.5

35

69.1

55

51.5

110.7

44.4

111.6

26.3

77.2

93.6

37.6

1972

100.8

75.6

75.4

69.5

75

71.8

53

35.5

41.5

33.7

108.1

113.5

1973

46.1

45.8

23

67.6

86.1

61.5

93.5

63.8

75.5

57.5

50.9

68.6

1974

120.6

105.8

46.6

14.3

40.7

70.4

72.5

99.8

152.6

92.2

133.1

79.7

1975

124.2

32.5

81.9

67.9

50.5

22.1

62.5

51.6

106.5

37.9

73.1

48

1976

57.8

39.9

48

19

62.1

18.7

30.1

25.2

150.8

154.3

91.7

94

1977

102.8

143.2

75.6

52.6

51

84.5

23.7

107.3

40.6

70.5

110.1

97.4

1978

113.1

86.2

84.7

54.4

47.5

62.1

83.9

63.5

55.2

17.2

56.2

172.8

1979

89.6

72.8

127

69.9

119.1

38.8

34.1

91

39.8

88.3

93.7

159.1

1980

75.4

92

102.2

17.5

32.6

123.3

75.8

88.9

61.9

131.2

91

75.1

1981

57.8

52

160.4

59.4

90

44.5

53.3

43.6

139.9

130.3

67.2

93.5

1982

76.2

45.9

104

25.4

45.8

129.1

33.9

87.9

81.3

121.7

128.4

109.9

1983

102.4

40.4

64.1

110.7

115.2

38.3

39.2

33.3

100.8

79.9

53.2

108.1

1984

149.3

60.1

64.8

10.8

64.8

42.8

28.6

56.6

121.3

99.9

151.6

79

1985

75.3

31.6

66.4

67.7

68.5

101.7

77.2

114.1

45.9

46.7

72.9

124.9

1986

127.6

19.9

83.4

86.8

87.7

45

55.1

118.3

28.6

97.7

120.8

142.4

1987

33.9

59.7

93

69.2

49

109.1

73.2

68.7

66.4

180.2

82.4

59.8

1988

169

64.6

107.3

44.6

65.8

40.2

139

89

72

94.2

50.2

45.7

1989

49.3

90.5

96.1

88.3

20.7

57.6

38.6

59.4

41.6

103

62.7

149.3

1990

128.4

143.2

22.5

39.7

23.2

73.8

35.6

47.9

53.6

108.6

68.8

96.3

1991

97.4

64.3

74.2

70.9

13.7

103

70.7

27.8

64.9

72.1

93.4

49.3

1992

48.7

44.8

82.2

75.9

51.5

38

89.7

134.6

96.9

90.5

148.5

78.6

1993

115.3

13.8

26.6

94.8

89.2

68.7

88.7

54.4

119.6

94.4

76

172.1

1994

131

85.2

94

76.3

71.1

36.1

45

75.7

106.1

103.5

87.9

138.1

1995

162.6

114.9

70.6

28.1

48.5

20.2

37.6

9.1

123.3

52

82.8

91.1

1996

65.9

83.3

43.2

51

58.3

29.6

43.6

79.9

34

87.8

134.3

55.5

1997

16.5

101.6

26.6

23.7

71.2

132.2

53.5

98.9

30.8

74.7

123.4

100.8

1998

120.4

20.4

89.2

130.9

33.9

121.4

54.4

48.7

104.4

152.1

89.3

97.4

1999

128.6

50

70.6

75.8

56.2

90.9

26.3

116.6

124.9

86.5

67.3

142.4

2000

46.4

95.1

32.7

142.6

98

43

63.8

65.9

132.6

188

182.1

142.2

2001

84.4

105.3

107.5

100

42.1

44.4

73.2

86.3

82.9

135.4

65

43.5

2002

86.9

115.1

53

47.5

81.1

56.6

93.2

75.8

40.8

144.2

176.2

147.5

2003

91.2

38.8

36.8

43

70.9

75.6

64.7

21.3

34.7

67.7

116.6

100.3

2004

122.7

50.2

50.2

91.2

47.5

59.3

74.6

156.5

49.8

154.9

52.8

63.8

2005

54.2

46.2

55.9

77.7

45.1

55.4

74.3

62.5

68.2

127.4

86.1

72.1

2006

31.9

57.7

87.8

45.7

111.8

23.9

39.1

89.2

77.6

115.7

108.6

115.7

2007

100.5

111.6

63.5

10.4

118.4

144.9

137.9

60.7

48.9

49.4

80.9

95.5

2008

144.9

40.2

103.3

77.5

75.5

64.4

105.8

116.5

103.6

101.2

94

62.6

2009

96.4

60.9

44.5

48

55.2

57.8

140.7

60.5

34

77.9

192.1

109.1

2010

75.3

87.2

71

30.1

38.3

42.7

67.9

107.2

86.9

84.2

97.5

34.1

2011

94.8

81.2

22.3

11.6

46.5

82

65.2

91.4

57

68.4

52.9

113.6

2012

67.6

32.1

30.9

149.9

57.4

160.1

120.7

93.9

91.8

127.1

NA

NA

 Data on wheat yield (t/ha) and monthly temperature (degree C) in England, 1885--2012

Year

Yield

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

NOV

DEC

1885

2.36

2.9

5.8

4.5

7.7

8.9

13.9

16.3

13.6

12.2

7.5

5.9

3.7

1886

2.03

2.1

1.5

4.2

7.6

10.3

13.6

15.9

15.8

13.6

11.3

6.6

1.9

1887

2.41

2.4

3.8

3.3

6.2

9.4

15.3

17.3

15.7

11.8

7.1

4.4

2.6

1888

2.11

3.2

1.8

3.1

6.2

10.7

13.2

13.7

14.1

12.2

7.9

7.7

4.9

1889

2.25

3.4

2.9

4.7

7.1

12.9

15.3

15.3

14.7

12.8

8.6

6.9

3.3

1890

2.32

5.7

3.1

6.2

7.1

11.7

13.5

14.5

14.1

14.6

9.4

5.7

-0.8

1891

2.36

1.3

3.9

3.8

6.2

9.5

14.7

15.1

14.1

14.2

9.4

5.6

4.1

1892

1.99

2.3

3.6

2.7

7.3

11.6

13.4

14.3

15.2

12.4

7.1

6.4

1.8

1893

1.96

2.2

4.7

7.2

0.3

13.1

15.6

16.4

17.4

12.9

9.9

5.2

4.8

1894

2.32

3.4

5.1

6.7

9.7

9.2

13.5

15.9

14.2

11.6

9.3

7.9

5.1

1895

1.97

-0.2

1.8

5.1

8.2

12.4

14.8

15.2

15.8

15.4

7.1

7.5

3.9

1896

2.53

4.8

4.6

6.7

9.1

11.9

16.2

16.2

14.3

13.1

6.9

4.3

3.9

1897

2.19

1.6

5.8

6.5

7.1

10

15.1

16.5

16.2

12.1

9.9

7.6

4.7

1898

2.61

6.6

4.8

4.3

8.5

10.2

13.6

15.3

16.5

15.2

11.3

7.2

7.3

1899

2.47

4.9

5.1

5.1

7.8

9.9

15.7

17.3

17.8

13.2

8.8

8.5

2.2

1900

2.15

4.4

2.6

3.7

8.3

10.3

14.7

17.7

15.1

13.6

9.8

7.3

7.2

1901

2.32

3.5

2.3

4.1

8.6

11.5

13.9

18

15.6

13.9

9.7

4.8

3.4

1902

2.48

4.7

1.5

6.7

7.5

8.9

13.9

14.7

14.3

12.8

9.6

6.8

4.6

1903

2.27

4.2

7.1

7.1

6.4

11.1

13

15.3

14.3

13.1

10.5

6.4

3.3

1904

2.02

4.1

3.4

4.3

8.7

10.9

13.3

17.1

15.1

12.5

9.7

5.2

3.7

1905

2.47

3.6

5.2

6.8

7.3

10.8

14.7

17.2

14.7

12.4

7.1

4.9

4.9

1906

2.57

5.3

3.1

5.1

7.3

10.5

14.3

15.8

16.7

13.9

10.9

7.3

3

1907

2.55

3.6

2.8

6.3

7.6

10.5

12.4

14.1

14.3

13.6

9.8

6.5

4.6

1908

2.42

2.5

5.3

4.3

6

12.4

14.3

15.8

14.6

12.9

11.8

7.4

3.9

1909

2.51

3.5

2.9

3.7

8.7

11

11.8

14.6

15.4

11.9

10.4

4.8

3.9

1910

2.26

3.5

5.1

6.1

7.3

11.2

14.7

14.2

15.2

12.5

10.6

3.2

6.4

1911

2.53

3.8

4.8

5.2

7.5

12.9

14.5

18.2

18.2

13.9

9.3

6.1

6.2

1912

2.11

3.6

5.4

7.2

8.8

12.1

13.9

16.1

12.9

11.1

8.2

6.3

6.7

1913

2.4

4.5

4.8

6.2

8.1

11.4

14.3

14.6

15.2

14.1

10.9

8.4

5.1

1914

2.49

3.7

6.8

6.1

9.8

10.8

14.5

15.8

16.1

13.3

10.3

6.8

4.6

1915

2.38

4.1

4.3

5.2

7.9

10.8

14.4

14.6

15.3

13.4

9.1

2.8

5.3

1916

2.15

7.5

3.8

3.3

8.2

11.6

11.8

15.3

16.4

13

10.6

6.8

1.9

1917

2.25

1.6

0.9

3.2

5.4

12.8

15.2

16.1

15.3

14

7.5

7.8

2.3

1918

2.51

3.8

6.5

5.7

6.7

13

13.3

15.4

16.1

11.9

9.3

5.5

6.9

1919

2.19

2.9

1.9

3.6

7.1

13.5

14.3

13.9

15.7

12.7

7.4

3.3

5.5

1920

2.14

5.2

6

7.2

8.2

11.8

14.4

14.1

13.6

13

10.4

6.8

4.2

1921

2.71

7.3

4.8

7.4

8

11.5

14.7

18.5

15.4

14.1

12.8

4.6

6.5

1922

2.33

3.7

4.4

4.6

5.5

12.7

13.8

13.7

13.6

12.2

8.2

5.9

5.8

1923

2.4

5.6

5.6

6.5

7.6

9.2

12.5

17.5

15.2

12.5

9.7

3.3

3.8

1924

2.41

4.7

3.3

4.1

6.9

11.6

13.9

15.3

14.1

13.3

10.1

7.1

6.8

1925

2.49

5.3

5.2

4.9

7.5

11.6

15

16.8

15.4

11.5

10.4

3.6

2.8

1926

2.25

4.6

6.8

6.3

9.3

10.2

13.6

17.1

16.2

14.4

8.1

5.9

4.2

1927

2.38

4.6

3.9

7.3

7.9

11.2

12.6

15.9

15.7

12.5

10.5

6.2

2.1

1928

2.49

5.2

5.8

6.3

8.5

10.9

12.9

16.1

15.3

12.8

10.1

7.6

3.4

1929

2.61

1.3

0.4

6.2

6.8

11.3

13.3

16

15.4

15.3

9.6

6.7

5.8

1930

2.19

5.6

2.5

5.3

8.3

10.7

15.3

15.2

15.7

13.6

10.5

6.2

4.3

1931

2.21

3.2

3.9

4.2

7.7

11.4

14.4

15.3

14.4

11.5

8.8

7.8

5.3

1932

2.37

6.3

2.9

4.7

6.9

10.5

14.1

16.1

17.1

12.9

8.8

6.6

5.7

1933

2.61

2.2

4.3

7.3

8.8

12.2

15.6

17.8

17.6

14.9

10.1

5.6

1.6

1934

2.72

4.1

3.8

4.8

8

11.3

14.9

18.2

15.4

14.6

10.6

6.1

8.1

1935

2.53

4.5

5.8

6.6

8.2

9.9

15.1

17.1

16.6

13.6

9.5

6.9

2.8

1936

2.23

3.7

2.6

7.1

6.3

11.5

14.7

15.3

16.1

14.4

9.4

5.5

5.3

1937

2.23

5.2

5.6

3.6

9.2

12.2

14.1

16.1

16.9

13.4

10.4

5.1

3

1938

2.78

5.7

5.1

9.1

7.6

10.7

14.4

15.2

16.3

13.8

10.5

9.4

4.4

1939

2.53

4.2

5.6

5.8

8.8

11.4

14.2

15.5

16.4

14.2

8.2

8.7

3.2

1940

2.47

1.4

2.6

6

8.7

12.5

16.4

15.1

15.6

12.8

9.6

6.9

3.8

1941

2.42

0.5

3.5

5.1

6.4

9.4

15.1

17.3

14.7

14.5

10.4

6.6

5.6

1942

2.78

0.9

0.1

5.2

9.2

11.1

14.4

15.5

16.6

13.6

10.4

4.9

6.7

1943

2.71

4.9

6.1

6.5

10.5

11.8

14.4

16.4

16.1

13.3

10.6

6.3

3.5

1944

2.66

5.8

3.6

5.2

10.2

11.4

13.5

16.5

17

12.5

9.3

6.2

3.6

1945

2.6

0.4

7.1

7.9

10.1

12.2

14.6

16.7

15.9

14.4

11.9

7.2

4.9

1946

2.6

2.7

5.9

5.1

9.9

10.7

13.1

16.3

14.7

14

9.8

8.1

3.1

1947

2.1

-2.2

1.9

3.6

8.6

13.5

15.5

17

18.6

14.9

10.6

7.2

5.1

1948

2.82

5.4

4.7

8.3

9

11.4

13.5

15.8

15.1

13.8

10.1

7.3

5.7

1949

3.06

5.5

5.7

5.1

0

11.2

15.3

17.4

16.8

16.3

11.7

6.6

5.8

1950

2.86

4.2

5.3

7.4

7.6

11.3

16.2

15.9

15.6

12.9

9.6

5.7

1.2

1951

2.96

3.9

3.7

4.1

6.8

10.1

14

16.3

14.8

14.1

9.4

8.5

5.5

1952

3.09

2.7

3.4

6.6

9.6

13.4

14.4

16.8

15.8

10.7

8.8

4.2

2.8

1953

3.27

3.3

4.3

5.6

7.3

12.6

14.4

15.5

16.2

13.8

9.7

8.5

6.9

1954

3.09

2.9

2.6

5.8

7.6

11.2

13.4

14.2

14.6

12.7

11.9

6.9

6.8

1955

3.64

2.6

1.2

3.2

9.3

9.7

13.8

17.7

18.1

14.2

9.2

7

5.4

1956

3.38

-3.6

0.2

6.2

6.9

11.7

13.1

15.8

13.5

14.3

9.4

6

5.7

1957

3.46

5.5

5.3

9.2

8.9

10.3

15.2

16.3

15.4

12.5

10.8

6.4

4.5

1958

3.35

3.4

4.7

3.7

7.4

11.1

14.1

15.9

15.8

15.1

10.8

6.4

4.7

1959

3.94

1.6

4.4

7.3

9.4

12.8

15.2

17.3

17.2

14.9

12.6

7.1

6

1960

3.88

3.8

4.1

6.4

8.9

12.8

16.1

15.1

15

13.1

10.3

7.3

3.9

1961

3.84

3.9

6.9

8.2

10

11

14.4

15.2

15.4

15.2

10.9

6

2.2

1962

4.73

4.3

4.4

2.8

7.7

10.3

13.7

15.1

14.5

12.6

10.4

5.5

1.8

1963

4.24

-2.1

0.7

6

8.7

10.6

14.9

15.2

14.3

12.9

11.1

8.2

2.6

1964

4.6

3.4

4.5

4.3

8.7

13.3

13.8

16.1

15.5

14.1

8.9

7.4

3.6

1965

4.41

3.3

3.1

5.2

8

11.7

14.7

14

14.9

12.3

11

4.5

4.7

1966

4.17

2.9

5.7

6.5

7.2

11

15.4

15

14.7

13.8

10.1

5.6

5.5

1967

4.18

4.5

5.4

7

7.7

10.4

14

16.7

15.7

13.5

10.8

5.4

4.2

1968

3.55

4.4

1.9

6.3

8.1

9.8

14.8

15

15.4

13.9

12.5

6.5

3

1969

4.04

5.5

1

3.3

7.4

11.2

13.9

16.8

16.4

13.9

13

5.4

3.3

1970

4.19

3.7

2.9

3.7

6.7

13

16.4

15.2

16

14.4

10.7

7.8

4.3

1971

4.39

4.5

4.5

4.9

7.9

11.6

12.4

16.9

15.6

14

11.3

6

6.6

1972

4.24

3.9

4.3

6.5

8.2

10.5

11.8

15.6

15.1

11.7

10.6

6.3

5.8

1973

4.37

4.5

4.3

6.2

7

11.4

14.8

15.6

16.5

14.3

9

6

4.9

1974

4.97

5.9

5.4

5.8

8.2

11

13.9

15.2

15.2

12.1

7.8

6.8

8.1

1975

4.34

6.8

4.4

4.8

8.3

9.9

14.7

17.4

18.7

13.5

9.9

6.3

5.3

1976

3.85

5.9

4.5

4.8

8.1

12.1

17

18.7

17.6

13.4

10.6

6.3

2

1977

4.9

2.8

5.2

6.9

7.2

10.6

12.2

15.9

15.2

13.3

11.8

6.6

6.1

1978

5.26

3.4

2.8

6.7

6.5

11.7

13.7

14.8

15

14.2

11.9

8.5

3.9

1979

5.23

0.4

1.2

4.7

7.8

10

13.9

16.2

14.9

13.5

11.3

6.8

5.8

1980

5.88

2.3

5.7

4.7

8.8

11.2

13.8

14.7

15.9

14.7

9

6.6

5.6

1981

5.84

4.9

3

7.9

7.8

11.2

13.2

15.5

16.2

14.5

8.6

7.8

0.3

1982

6.2

2.6

4.8

6.1

8.6

11.6

15.5

16.5

15.7

14.2

10.1

8

4.4

1983

6.37

6.7

1.7

6.4

6.8

10.3

14.4

19.5

17.3

13.7

10.5

7.5

5.6

1984

7.71

3.8

3.3

4.7

8.1

9.9

14.5

16.9

17.6

13.7

11.1

8

5.2

1985

6.33

0.8

2.1

4.7

8.3

10.9

12.7

16.2

14.6

14.6

11

4.1

6.3

1986

6.97

-3.5

1.1

4.9

5.8

11.1

14.8

15.9

13.7

11.3

11

7.8

6.2

1987

5.99

0.8

3.6

4.11

10.3

10.1

12.8

15.9

15.6

13.6

9.7

6.5

5.6

1988

6.23

5.3

4.9

6.4

8.2

11.9

14.4

14.7

15.2

13.2

10.4

5.2

7.5

1989

6.74

6.1

5.9

7.5

6.6

13

14.6

18.2

16.6

14.7

11.7

6.2

4.9

1990

6.97

6.5

7.3

8.3

8

12.6

13.6

16.9

18

13.2

11.9

6.9

4.3

1991

7.25

3.3

1.5

7.9

7.9

10.8

12.1

17.3

17.1

14.7

10.2

6.8

4.7

1992

6.82

3.7

5.4

7.5

8.7

13.6

15.7

16.2

15.3

13.4

7.8

7.4

3.6

1993

7.33

5.9

4.6

6.7

9.5

11.4

15

15.2

14.6

12.4

8.5

4.6

5.5

1994

7.35

5.3

3.2

7.7

8.1

10.7

14.5

18

16

12.7

10.2

10.1

6.4

1995

7.7

4.8

6.5

5.6

9.1

11.6

14.3

18.6

19.2

13.7

12.9

7.7

2.3

1996

8.15

4.3

2.5

4.5

8.5

9.1

14.4

16.5

16.5

13.6

11.7

5.9

2.9

1997

7.38

2.5

6.7

8.4

9

11.5

14.1

16.7

18.9

14.2

10.2

8.4

5.8

1998

7.56

5.2

7.3

7.9

7.7

13.1

14.2

15.5

15.9

14.9

10.6

6.2

5.5

1999

8.05

5.5

5.3

7.4

9.4

12.9

13.9

17.7

16.1

15.6

10.7

7.9

5

2000

8.01

4.9

6.3

7.6

7.8

12.1

15.1

15.5

16.6

14.7

10.3

7

5.8

2001

7.08

3.2

4.4

5.2

7.7

12.6

14.3

17.2

16.8

13.4

13.3

7.5

3.6

2002

8

5.5

7

7.6

9.3

11.8

14.4

16

17

14.4

10.1

8.5

5.7

2003

7.78

4.5

3.9

7.5

9.6

12.1

16.1

17.6

18.3

14.3

9.2

8.1

4.8

2004

7.77

5.2

5.4

6.5

9.4

12.1

15.3

15.8

17.6

14.9

10.5

7.7

5.4

2005

7.96

6

4.3

7.2

8.9

11.4

15.5

16.9

16.2

15.2

13.1

6.2

4.4

2006

8.04

4.3

3.7

4.9

8.6

12.3

15.9

19.7

16.1

16.8

13

8.1

6.5

2007

7.23

7

5.8

7.21

1.2

11.9

15.1

15.2

15.4

13.8

10.9

7.3

4.9

2008

8.28

6.6

5.4

6.1

7.9

13.4

13.9

16.2

16.2

13.5

9.7

7

3.5

2009

7.93

3

4.1

7

10

12.1

14.8

16.1

16.6

14.2

11.6

8.7

3.1

2010

7.7

1.4

2.8

6.1

8.8

10.7

15.2

17.1

15.3

13.8

10.3

5.2

\(-\)0.7

2011

7.75

3.7

6.4

6.71

1.8

12.2

13.8

15.2

15.4

15.1

12.6

9.6

6

2012

6.68

5.4

3.8

8.3

7.2

11.7

13.5

15.5

16.6

13

9.7

NA

NA

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chavas, JP., Di Falco, S. Resilience, Weather and Dynamic Adjustments in Agroecosystems: The Case of Wheat Yield in England. Environ Resource Econ 67, 297–320 (2017). https://doi.org/10.1007/s10640-015-9987-9

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10640-015-9987-9

Keywords

JEL Classification

Navigation