Uncertainty in Agricultural Responses using Climate Forecast Climate variability associated with ENSO is now predictable. This suggests a potential to tailor agricultural management to benefit from climate variability. Deterministic/stochastic crop model is recognized method to address climate sensitivities and are used routinely in decision/management formulation. Why Uncertainty in a crop model matters? 1. Most times, the only uncertainty considered is climate uncertainty 2. Quantification of uncertainty is required as input to any decision analysis 3. Uncertainty analysis should play a diagnostic role in an assessment to highlight factors whose uncertainty is pivotal in determining actions 4. We have not put enough efforts to document impacts of uncertainty on decisions Ho: Uncertainties add another level of complexity in decision making. When uncertainty is likely to trigger change in a decision? An evolving research theme in the SECC Shrikant Jagtap (SECC Team) Agricultural and Biological Engineering University of Florida Uncertainty in Agricultural Responses using Climate Forecast How uncertainty is currently handled in Ag Models? Agricultural and Biological Engineering University of Florida Uncertainty in Agricultural Responses using Climate Forecast How uncertainty is currently handled in Ag Models? 3000 Nyankpala: 1999 2500 - Spatial / temporal probability inputs 2000 -1 Leaf dry weight (kg ha ) - Field calibration/validation Fungicide No Fungicide Chinese 1500 1000 500 0 175 200 225 250 275 300 275 300 3000 2500 2000 F-mix 1500 1000 500 0 Agricultural and Biological Engineering 175 200 225 250 Day of the year University of Florida Uncertainty in Agricultural Responses using Climate Forecast How uncertainty is currently handled in Ag Models? 3000 Nyankpala: 1999 2500 - Spatial / temporal probability inputs 2000 9 Drought mitigation 9 Crop mix 9 Risk management/Insurance Products 9 Environmental protection 4-sources of uncertainties 1. Model 2. Downscaling climate forecast 3. Validity of assumptions 4. Scaling-up/ aggregation Agricultural and Biological Engineering -1 Examples within the SECC: Leaf dry weight (kg ha ) - Field calibration/validation Fungicide No Fungicide Chinese 1500 1000 500 0 175 200 225 250 275 300 275 300 3000 2500 2000 F-mix 1500 1000 500 0 175 200 225 250 Day of the year University of Florida Uncertainty in Agricultural Responses using Climate Forecast Case Study: Sensitivity of peanut yields, a major cash crop, on a North Florida peanut farm in Jackson County. Jackson county has been the highest peanut growing county in the state. 65-years climate data suggests that higher rainfall and cooler temperatures are observed during El Nino (14 years), with the opposite being true in La Nina (16 years). Virtual simulations used the PNUT-GRO, a well calibrated and tested simulator, using current management practices in the region for varieties, fertilization and sowing dates (16 April to 12 June at weekly interval). Dearing-GA ( Midville-GA ( Dublin-GA Camilla-GA ( Escambia-FL ( Vidalia-GA ( (Tifton-GA Dixie-GA ( ( Jackson-FL Quincy-FL ( ( ( ( ( (( ( (((( Source : www.AgClimate.org Agricultural and Biological Engineering University of Florida Uncertainty in Agricultural Responses using Climate Forecast Virtual simulations used the PNUT-GRO model Georgia-Green Simulated yield Years All yrs 65 Avg (kg/ha) SD (kg/ha) CV(%) Nino 14 Avg (kg/ha) SD (kg/ha) CV(%) Nina 16 Avg (kg/ha) SD (kg/ha) CV(%) Neutral 35 Avg (kg/ha) SD (kg/ha) CV(%) 16-Apr 23-Apr 2870 1379 48 2792 1672 60 2839 1242 44 2915 1350 46 2937 1393 47 2935 1719 59 2928 1235 42 2942 1360 46 Recommended Dates 1-May 8-May 15-May 22-May Uncorrected simulated yields 3003 3082 3097 3103 1376 1337 1258 1193 46 43 41 38 3027 3138 3146 3197 1689 1668 1554 1436 56 53 49 45 3072 3179 3128 3204 1210 1193 1163 1150 39 38 36 37 2962 3015 3029 3054 1350 1289 1203 1140 46 43 40 37 29-May 5-Jun 12-Jun 3107 1159 37 3216 1360 42 3055 1115 36 3086 1125 36 3060 1142 37 3219 1313 41 3033 1104 36 3009 1116 37 2742 1301 47 2856 1495 52 2712 1274 47 2709 1269 47 3300 Nino 3200 1. The case study shows potential for enhancing peanut yields on average about 4% by tailoring planting dates to expected ENSO conditions. Nina 3100 Neutral 3000 2900 2800 2700 2600 2500 Agricultural and Biological Engineering 12-Jun 5-Jun 29-May 22-May 15-May 8-May 1-May 23-Apr 16-Apr 2400 2. Tailored management calls for later planting during an El Nino, and earlier planting in La Nina. University of Florida Sources of Uncertainty: 1. Model errors Sources of uncertainty : The assumed form of model is likley to have substantial effect on the results of analysis . Georgia-Green Simulated yield Years All yrs 65 Avg (kg/ha) SD (kg/ha) CV(%) Nino 14 Avg (kg/ha) SD (kg/ha) CV(%) Nina 16 Avg (kg/ha) SD (kg/ha) CV(%) Neutral 35 Avg (kg/ha) SD (kg/ha) CV(%) All yrs 65 Nino 14 Nina 16 Neutral 35 Avg (kg/ha) SD (kg/ha) CV(%) Avg (kg/ha) SD (kg/ha) CV(%) Avg (kg/ha) SD (kg/ha) CV(%) Avg (kg/ha) SD (kg/ha) CV(%) 16-Apr 2870 1379 48 2792 1672 60 2839 1242 44 2915 1350 46 Recommended Dates 23-Apr 1-May 8-May 15-May 22-May Uncorrected simulated yields 2937 3003 3082 3097 3103 1393 1376 1337 1258 1193 47 46 43 41 38 2935 3027 3138 3146 3197 1719 1689 1668 1554 1436 59 56 53 49 45 2928 3072 3179 3128 3204 1235 1210 1193 1163 1150 42 39 38 36 37 2942 2962 3015 3029 3054 1360 1350 1289 1203 1140 46 46 43 40 37 29-May 5-Jun 12-Jun 3107 1159 37 3216 1360 42 3055 1115 36 3086 1125 36 3060 1142 37 3219 1313 41 3033 1104 36 3009 1116 37 2742 1301 47 2856 1495 52 2712 1274 47 2709 1269 47 2907 1085 37 3058 1247 41 2881 1048 36 2858 1060 37 2330 1106 47 2427 1270 52 2306 1083 47 2303 1078 47 Simulated yields corrected for spotted w ilt virus of peanuts (Ref. Bulletin 1165, UGA, 2003) 2152 2203 2703 2774 3097 2951 3103 1034 1045 1238 1203 1258 1193 1101 48 47 46 43 41 38 37 2094 2201 2725 2824 3146 3056 3197 1254 1290 1520 1502 1554 1436 1292 60 59 56 53 49 45 42 2130 2196 2765 2861 3128 2903 3204 932 926 1089 1074 1163 1150 1059 44 42 39 38 36 37 36 2186 2206 2665 2714 3029 2932 3054 1013 1020 1215 1160 1203 1140 1069 46 46 46 43 40 37 36 Agricultural and Biological Engineering University of Florida Sources of Uncertainty: 1. Model errors Methods for dealing with uncertainty on decision making a. Hybrid model (s) Calculate your risk Risk Index Peanut variety 10-50 Planting date 5-30 Plant population 5-25 Row pattern 5-15 Tillage 5-15 Insecticide used 5-15 Total Index Value b. Agricultural Response Team - an inter-disciplinary or agency, effort to effectively communicating forecast driven decisions and planning for agriculturally-related activities c. Participatory development and evaluation of forecast product (i.e. Australian example) Source of Uncertainty: Variability in ENSO signal Agricultural and Biological Engineering University of Florida Sources of Uncertainty: 2. Downscaling forecast 10% Tomato Percent yield increase 5% 0% -5% -10% -15% -20% La Niña neutral El Niño Source of Uncertainty: Variability in ENSO signal Agricultural and Biological Engineering University of Florida Sources of Uncertainty: 2. Strength of ENSO Success in long-lead seasonal forecasts has led to, often unrealistic expectations. The fact remains that climate predictions have modest skill, and in many instances no or marginal skill, even with strong ENSO signal. 100 100 NEUTRAL NIÑO 1983 1998 80 Probability of exceedance (%) 80 Probability of exceedance (%) NEUTRAL NIÑA 60 40 60 40 1992 20 1988 20 0 0 0 1000 2000 3000 4000 5000 Yield (kg/ha) Agricultural and Biological Engineering 1999 0 6000 2000 4000 6000 Yield (kg/ha) University of Florida 8000 Sources of Uncertainty: 2. Downscaling forecast Methods for dealing with uncertainty on decision making a. Enhance reliability of coupled ocean-atmospheric models Agricultural and Biological Engineering University of Florida Raw forecast (95% CI r>0.065,n=906) Forecast monthly rainfall (mm) RMSE=195 mm MBE =132 mm d =0.31 800 Raw forecast, r=0.009 600 400 200 Agricultural0and Biological Engineering University of Florida K-NN method corrected forecast (95% CI r>0.065,n=906) RMSE= 66 mm (Raw=195 mm and MBC=87 mm) MBE = -0.5 mm d = 0.74 (Raw=0.31 and MBC=0.52) Forecast monthly rainfall (mm) 500 k-NN corrected forecast, r=0.57 400 300 200 100 0 0 50 100 150 200 250 300 Measured monthly rainfall (mm) Agricultural and Biological Engineering 350 University of Florida 400 Sources of Uncertainty: 2. Variability in ENSO strength Methods for dealing with uncertainty on decision making b. Integrated assessment with coupled ocean-atmospheric & crop models Maize yield, T/ha 14 12 10 8 6 4 2 0 1988 1991 1993 1995 1997 1999 Climatology Recorded Agricultural and Biological Engineering Forecast University of Florida Sources of Uncertainty: 3. Error of judgment (assumptions) Value of climate forecast to users Within in the SECC and elsewhere, it has been shown that climate forecasts have tangible economic value for users. Assumptions/hypothesis 1. the user must exercise the prescribed process over many years in a disciplined and consistent manner. 2. The user’s decision-making environment remains static for entire period, 3. The user does not abandon use of the forecast, even it the forecast was wrong in several successive years. Let’s see what happens when a grower in Jackson county modifies planting date according to ENSO phase forecast we developed earlier…… Agricultural and Biological Engineering University of Florida Sources of Uncertainty: 3. Validity of assumptions May-29 -46 0 168 0 232 0 199 0 0 0 0 108 0 -333 0 0 167 451 -89 187 0 0 0 0 0 -74 37 57 0 -186 0 172 375 362 -130 -209 Recommendation: Ideal planting window: Mid-May 1500 Value=Forecat - NoForecast May-08 146 -288 188 -490 11 685 596 831 251 256 -647 -93 174 680 -419 279 390 -408 218 -54 173 -238 -584 89 -257 -114 -214 698 -411 35 232 627 145 -197 725 282 May-08 1000 500 0 -500 -1000 -1500 600 Value=Forecast - NoForecast Year Forecast 3335 1939 2406 1940 3837 1941 2761 1942 3817 1943 3047 1944 3626 1945 4880 1946 2519 1947 3268 1948 5607 1949 3993 1950 2508 1951 1789 1952 2683 1953 1309 1954 3970 1955 4632 1956 1846 1957 3373 1958 2148 1959 3328 1960 3465 1961 1828 1962 4498 1963 5258 1964 2373 1965 2588 1966 3407 1967 2529 1968 3570 1969 2887 1970 4938 1971 1006 1972 2132 1973 2097 1974 May-29 400 200 0 -200 -400 -600 1939 1944 1949 1954 1959 1964 1969 1974 1979 1984 1989 1994 1999 Agricultural and Biological Engineering University of Florida Sources of Uncertainty: 3. Error of judgment (measurement) Methods for dealing with the psychology of users a. How resilient is the user? – risk aversion/utility theory? b. How many times, before the user abandons use of forecast? c. Take into account these uncertainties to provide a sense of what skill levels are necessary to increase chance that even relatively short sequence of decisions will be of value. Value=Forecat - NoForecast 1500 May-08 1000 500 0 -500 -1000 -1500 Agricultural and Biological Engineering University of Florida Sources of Uncertainty: 4. Scaling-up / Aggregation with plot-scale models There are clear advantages to adopting plot-scale models to regional scale, as recommendations and policies are generally implemented at this scale. SECC – wants to produce forecasts of agricultural responses at watershed and state scales using climate forecasts, and need to know the forecast uncertainty In applying a field scale model over space may require perfect aggregation of effects of all possible input combinations over geographic space and probability space. What sort of uncertainties are introduced by this mismatch of scales? Agricultural and Biological Engineering University of Florida Sources of Uncertainty: 4. Scaling up plot-scale models Ho: The use of probabilistic inputs will underestimate risks that producers face! April-16 April-23 May -1 May-8 15-May Ma y 22 May 29 June-05 June-12 Mean SE 16-Apr p-va lue 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 NIÑA NEUTRAL NIÑO NEUTRAL NIÑA NEUTRAL NIÑA NEUTRAL NEUTRAL NEUTRAL NEUTRAL NIÑA NEUTRAL NIÑO NEUTRAL NEUTRAL NIÑA NIÑA NIÑA NIÑO NEUTRAL NEUTRAL NEUTRAL NEUTRAL NEUTRAL NIÑO NIÑA NIÑO NEUTRAL NIÑA 3755 3066 2431 4615 3150 1440 2008 3420 2694 1200 5429 2436 2115 475 2717 644 1801 4443 1965 4052 2713 3324 4102 2471 4973 4166 2878 1341 3806 3104 3457 3152 3018 4448 3333 1720 2312 3427 2537 1694 5989 2709 1928 553 2833 693 2230 4589 1811 3808 2477 3534 4151 2368 5007 4746 2934 1480 3862 2897 3235 2931 3373 3814 3508 2093 2601 3697 2347 2451 6230 3445 2110 770 3137 839 2832 4963 1683 3508 2270 3566 4019 2010 5107 5069 2863 1684 3937 2674 3189 2694 3649 3252 3806 2362 3030 4049 2269 3012 6254 4086 2335 1110 3102 1029 3580 5040 1629 3427 1975 3565 4049 1739 4755 5372 2588 1889 3818 2494 3335 2091 3744 2749 3817 2944 3626 4178 2591 3482 6080 3993 2484 1526 2688 1103 3970 4632 1846 3069 1982 3518 3845 1496 4060 5614 2373 2114 3570 2529 Agricultural and Biological Engineering 3186 1921 3697 2219 3740 3754 3968 4702 2905 3891 5876 4006 2604 2282 2521 1090 4244 4205 1687 2800 2230 3369 3509 1681 3144 5546 2323 2461 3368 2419 3585 1828 3372 1922 3382 4662 4111 4880 3133 4144 5607 3923 2761 2968 2508 969 4181 3885 1280 2530 2508 3268 3328 1679 3220 5331 2715 2715 3407 2336 4125 1488 3373 1788 3268 4821 4173 4812 3673 4029 5407 3522 2779 3179 2220 884 3955 3574 1154 2132 2757 3352 2919 1619 3282 5258 3140 2887 3455 2529 3979 1057 3174 1446 3074 4595 3704 4477 3816 3852 5292 3136 2586 0 1788 657 3561 3824 1179 1787 3037 3482 2280 1592 3046 5073 3098 2630 0 2685 3539 2247 3314 2917 3453 3154 3281 4183 2885 3084 5796 3473 2411 1429 2613 879 3373 4351 1581 3013 2439 3442 3578 1851 4066 5130 2768 2133 3247 2630 116 249 136 392 94 445 272 192 185 359 123 201 102 381 141 61 295 171 101 255 120 38 213 118 300 149 98 189 412 81 0.050 0.006 0.000 0.001 0.006 0.002 0.001 0.002 0.166 0.000 0.009 0.000 0.010 0.018 0.240 0.002 0.000 0.302 0.003 0.002 0.026 0.007 0.020 0.000 0.008 0.000 0.146 0.002 0.106 0.000 University of Florida Sources of Uncertainty: 4. Scaling up plot-scale models Probability that area averaged yield is the same as a site yield 90 Neutral 80 70 Nino Nina 60 50 40 30 20 10 12-Jun 05-Jun 29-May 22-May 15-May 8-May 01-May 23-Apr 16-Apr 0 Deterministic models with probabilistic inputs will underestimate risks and should be a reason for caution in using such deterministic analysis. Agricultural and Biological Engineering University of Florida Summary 4-types of uncertainties have been identified 1. Model errors 2. Variability in ENSO 3. Measurement errors 4. Scaling-up/ aggregation Likely Activities: Methodology development for routine applications to identify high impact areas for uncertainty 1.Uncertainty can affect decisions. 2. Recognizing impacts require that uncertainty analysis should be an integral part of forecast recommendation development process 3. It should be probabilistic, as actions may differ from those taken when only the best estimates are provided to decision makers 4. Past SECC studies will be used to prioritize studies Agricultural and Biological Engineering University of Florida Uncertainty in Agricultural Responses using Climate Forecast Thanks! Agricultural and Biological Engineering University of Florida 350 30 (a) (b) 25 Wetdays- days/month Rainfall- mm/month 300 250 200 150 100 Sta tion 50 FSU-GCM 20 15 10 Sta tion 5 FSU-GCM FSU-RCM FSU-RCM 0 0 25 35 (d) 15 10 Sta tion 5 FSU-GCM Maximum Temp- Deg C/day 20 2 Radiation- MJ/m /day (c) 30 25 20 15 10 Sta tion 5 FSU-GCM FSU-RCM FSU-RCM 0 0 Ma r Apr Ma y Jun Jul Aug Agricultural and Biological Engineering Ma r Apr Ma y Jun Jul Aug University of Florida Sources of Uncertainty: 4. Scaling up plot-scale models Methods for dealing with uncertainty 1. Use factorial analysis to simultaneously evaluate the contribution of each factor to the total uncertainty. 2. Propagation of uncertainty using either addition or multiplication rule for n independent events Addition of the N independent variances: Var(f1+f2+…fn) = Var(f1)+…Var(fn) Multiplication rule: p(f1+f2+…fn) = p(f1)+…p(fn) Agricultural and Biological Engineering University of Florida Key References 1. SECC case studies 2. Morgan MG, and Henrion M, 1990. Uncertainty: a guide to dealing with uncertainty in quantitative risk and policy analysis. Cambridge University Press, Cambridge. 3. Katz RW, 2002.Techniques for estimating uncertainty in climate change scenarios and impact assessment studies, Climate Research, 20:167-185 4. Hammitt JK, Shlyakhter AI, 1999. The expected value of information and the probability of surprise. Risk Analysis, 19:135-152. 5. Mearns LO, Rosenzweig C, Goldberg R, 1997. Mean and variance change in climate scenarios: methods, agricultural applications, and measures of uncertainty. Clim Change 32:257-292 6. Webster MD, Sokolov AP, 2000. A methodology for quantifying uncertaionty in climate projections. Clim Change 46:417-446. 7. Wilks DS, 1995. Statistical methods in the atmospheric sciences. Academic Press, San Diego. Agricultural and Biological Engineering University of Florida Sources of Uncertainty: 1. Model errors Sources of uncertainty : The assumed form of model is likley to have substantial effect on the results of analysis . Georgia-Green Simulated yield Years All yrs 65 Avg (kg/ha) SD (kg/ha) CV(%) Nino 14 Avg (kg/ha) SD (kg/ha) CV(%) Nina 16 Avg (kg/ha) SD (kg/ha) CV(%) Neutral 35 Avg (kg/ha) SD (kg/ha) CV(%) 16-Apr 2870 1379 48 2792 1672 60 2839 1242 44 2915 1350 46 Recommended Dates 23-Apr 1-May 8-May 15-May 22-May Uncorrected simulated yields 2937 3003 3082 3097 3103 1393 1376 1337 1258 1193 47 46 43 41 38 2935 3027 3138 3146 3197 1719 1689 1668 1554 1436 59 56 53 49 45 2928 3072 3179 3128 3204 1235 1210 1193 1163 1150 42 39 38 36 37 2942 2962 3015 3029 3054 1360 1350 1289 1203 1140 46 46 43 40 37 29-May 5-Jun 12-Jun 3107 1159 37 3216 1360 42 3055 1115 36 3086 1125 36 3060 1142 37 3219 1313 41 3033 1104 36 3009 1116 37 2742 1301 47 2856 1495 52 2712 1274 47 2709 1269 47 Tomato wilt virus has a profound effect on when growers plant peanuts. In past years, growers typically planed peanuts in mid-April. Now, the ideal planting date for peanuts is between May 11-May 25. The risk increases at other times. The planting date producing highest yield in each forecast category is marked Ref: The Spotted Wilt Risk Index, Extension Bulletin No. 1165, 2003 The University of Georgia, Athens, Georgia Agricultural and Biological Engineering University of Florida