Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World...

127
Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion and direction July 6, 2005

Transcript of Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World...

Page 1: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Longer-Term Forecasting of Commodity Flows on the

Mississippi River: Application to Grains and World

Trade

Project report to the ACEPenultimate for discussion and direction

July 6, 2005

Page 2: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Purpose/Overview

• Collection and analysis of important data impacting world trade in grain and oilseeds. – These include data on production, consumption, imports, interior

shipping and handling costs, and international shipping costs.

• Development of an analytical model to analyze world grain and oilseeds trade. – Specifically, a large scale linear programming model will be

developed.

• Risk analysis– Derive probabilities and risk measures about critical variables

(reach shipments)– Determine how far forward it is practical to generate projections

• Ie how do their accuracy change for different forecast horizons

Page 3: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

3-major glitches• Back-casting

– Shorter-term concept– Compatible with econometrics– Longer-term projections imply longer-term adjustments not compatible with back

casting• Reach allocations and shipments

– Allocation of shipments between/within Reaches is challenge– Other studies simply refer to “barges” without attention to Reach allocations– Study has to embrace

• Extreme macro phenomena e.g., production costs in Ukraine, at the same time it considers

• Inter-reach-inter-modal allocations of shipments

• Risk: Can’t be completed till – final deterministic specification is concurred– Specification/format of conditional expectations on modal rate distributions

• [Personnel—broken back and bull stampede!]

Page 4: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Goal

• Review overall approach– Report distributed in two versions

• Appendix (details on all aspects of data/model)• Report (summary of methods and results) 20-30

pages

• Present current results• Concur/Resolve outstanding issues on

– Deterministic model– Risk questions

Page 5: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Background data:

• Consumption• Production costs• Yields• Trade and Agriculture Policies• Modal rates

– Rail– Barge– Truck– Ocean– Changes in modal rate competitiveness

• Barge delay functions and restrictions• Competitive routes and arbitrage

Page 6: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Consumption

Page 7: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

World Wheat Consumption19

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Page 8: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

World Corn Consumption1

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Page 9: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

World Soybean Consumption19

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Page 10: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Change in World Wheat Consumption, 1980-2004

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Sta

tes

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ada

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Page 11: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Change in World Corn Consumption, 1980-2004

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cent

Page 12: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Change in World Soybean Consumption, 1980-2003

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ited

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tes

Can

ada

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-25

Au

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cent

Page 13: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Wheat: Consumption by Selected Importers

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Page 14: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Corn: Consumption by Selected Importers

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Korea

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Page 15: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Soybean: Consumption by Selected Importers

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Page 16: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Approach to consumption

• Changes in consumption as countries’ incomes increase• Econometrics:

– C=f(Y) • For each country and commodity using time series data• Use to generate elasticity for each country/commodity

– E=f(Y) • Non-linear• Across cross section of time series elasticity estimates• Allow elasticities for each country to change as incomes increase

• Derive projections– Use WEFA income and population estimates– Derive consumption as

• C=C+%Change in Y X Elasticity

Page 17: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Income Elasticities for Exporting and Importing Regions

Wheat Corn Soybean

S Asia 0.51 0.78 0.53 FSU-ME 0.39 0.64 0.41 SEA 0.24 0.48 0.27 Europe 0.16 0.34 0.19 Latin 0.41 0.67 0.44 S Africa 0.60 0.83 0.61 N Africa 0.41 0.66 0.44 Argentina 0.25 0.55 0.29 Australia 0.14 0.32 0.17 Brazil 0.40 0.66 0.43 Canada 0.16 0.30 0.17 Korea 0.19 0.48 0.23 Mexico 0.36 0.63 0.39 United States 0.05 0.11 0.06 Japan 0.16 0.31 0.18 China 0.44 0.73 0.47

Page 18: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Regression Results for the Income Elasticity Equations

Constant Coefficient R2 Wheat 0.551 -0.078 0.846

(9.525) (-23.183) Corn 0.836 -0.096 0.862

(12.438) (-24.735) Soybean 0.574 -0.077 0.856

(10.424) (-24.130)*t ratios are in ( ).

Page 19: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Income Elasticity for Wheat

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

Elasticity

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40

US

Dol

lars

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Page 20: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Income Elasticity for Corn

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

Elasticity

0

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20

30

40

US

Dol

lars

(00

0)

Page 21: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Income Elasticity for Soybeans

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

Elasticity

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30

40

US

Dol

lars

(00

0)

Page 22: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Estimated Income Elasticities for Selected Countries/Regions

Wheat Corn Soybeans2003 2010 2015 2025 2003 2010 2015 2025 2003 2010 2015 2025

U. S. 0.05 0.01 -0.02 -0.08 0.11 0.06 0.02 -0.05 0.06 0.02 -0.01 -0.07 Canada 0.16 0.12 0.10 0.07 0.30 0.26 0.24 0.20 0.17 0.14 0.12 0.09 EU 0.16 0.13 0.11 0.07 0.34 0.31 0.29 0.23 0.19 0.16 0.14 0.10 Australia 0.14 0.12 0.10 0.05 0.32 0.28 0.26 0.21 0.17 0.14 0.12 0.08 China 0.44 0.42 0.41 0.37 0.73 0.71 0.69 0.64 0.47 0.45 0.44 0.40 Japan 0.16 0.12 0.10 0.04 0.31 0.26 0.23 0.16 0.18 0.14 0.11 0.06 Argentina 0.25 0.23 0.21 0.18 0.55 0.53 0.51 0.47 0.29 0.27 0.26 0.22 Brazil 0.40 0.39 0.38 0.35 0.66 0.65 0.63 0.60 0.43 0.42 0.40 0.38 Mexico 0.36 0.34 0.33 0.29 0.63 0.61 0.59 0.54 0.39 0.37 0.36 0.32 S. Korea 0.19 0.14 0.10 0.05 0.48 0.41 0.38 0.31 0.23 0.18 0.15 0.10 Latin 0.41 0.39 0.37 0.33 0.67 0.65 0.63 0.58 0.43 0.42 0.40 0.36 N Africa 0.41 0.40 0.39 0.37 0.66 0.64 0.63 0.60 0.44 0.42 0.41 0.39 FSU-ME 0.39 0.37 0.36 0.34 0.64 0.61 0.60 0.57 0.41 0.40 0.38 0.36 S Africa 0.60 0.59 0.59 0.58 0.83 0.82 0.82 0.81 0.61 0.60 0.60 0.59 S Asia 0.51 0.50 0.49 0.48 0.79 0.78 0.77 0.75 0.53 0.52 0.52 0.50SEA 0.24 0.23 0.22 0.19 0.48 0.46 0.45 0.42 0.27 0.26 0.25 0.22

Page 23: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Estimated Percent Change in World Consumption, 2004-2025

Wheat Corn Soybean Percent Change

United States 0.19 0.22 0.20Canada 0.20 0.27 0.21Europe 0.08 0.16 0.09Australia 0.19 0.28 0.20China 0.82 1.54 0.89Japan 0.00 0.06 0.01Argentina 0.35 0.58 0.38Brazil 0.56 0.82 0.58Mexico 0.53 0.81 0.56South Korea 0.17 0.46 0.22Latin 0.67 0.95 0.70N Africa 0.82 1.17 0.85FSU-ME 0.52 0.78 0.54S Africa 0.87 1.06 0.88S Asia 1.00 1.52 1.04SEA 0.47 0.73 0.50 World 0.55 0.71 0.46

Page 24: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast Consumption, Selected Countries/Regions, 2005-2050

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S Africa

N Africa

Brazil

Wheat Consumption

Page 25: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast Consumption, Selected Countries/Regions, 2005-2050

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Corn Consumption

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Europe

FSU-ME

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Mexico

Corn Consumption

Page 26: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast Consumption, Selected Countries/Regions, 2005-2050

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Page 27: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Production costs

• Yields– Yields by crop and country

• Costs– From WEFA

• Cross-sectional for most producing countries/regions

• Costs per HA• Variable costs were used

– Generate costs per metric tonne using estimated yields

Page 28: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Estimated Wheat Yields for Major Exporting Countries/Regions

UnitedStates

Canada Argentina Europe FSU_ME Australia

mt/HA2003 2.77 2.30 2.53 4.99 1.75 2.072010 2.90 2.46 2.78 5.32 1.85 2.342015 3.00 2.57 2.96 5.55 1.91 2.532020 3.09 2.68 3.14 5.78 1.98 2.722025 3.19 2.79 3.32 6.02 2.05 2.92

% Change:1980-2001

0.15 0.21 0.31 0.21 0.17 0.41

Page 29: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Estimated Corn Yields for Major Exporting Countries/Regions

United States Mexico Chinamt/HA

2003 8.64 2.65 5.302010 9.44 3.08 5.942015 10.01 3.38 6.402020 10.58 3.69 6.862025 11.15 3.99 7.32

%Change1980-2001

0.29 0.50 0.38

Page 30: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Estimated Soybean Yields for Major Exporting Countries/Regions

United States Argentina Brazil Latinmt/HA

2003 2.76 2.54 2.57 2.482010 3.03 2.71 2.87 2.812015 3.21 2.83 3.09 3.052020 3.40 2.95 3.30 3.282025 3.59 3.07 3.52 3.52

%Change:1980-2001

0.30 0.21 .037 0.42

Page 31: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Estimated Percent Change in World Production, 2004-2025

Wheat Corn SoybeanPercent Change

United States 0.16 0.30 0.32 Canada 0.23 0.26 0.08 Europe 0.22 0.10 0.44 Australia 0.43 0.55 0.32 China 0.45 0.40 0.40 Japan 0.14 0.00 0.16 Argentina 0.33 0.53 0.22 Brazil 0.40 0.51 0.39 Mexico 0.12 0.53 0.03 South Korea 0.04 -0.15 0.10 Latin 0.43 0.27 0.45 N Africa 0.47 0.60 0.12 FSU_ME 0.18 -0.18 0.25 S Africa 0.02 0.18 0.37 S Asia 0.43 0.35 0.31 SEA 0.10 0.42 0.33 World 0.40 0.42 0.43

Page 32: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast Production, Selected Countries/Regions, 2005-2050

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Argentina

Australia

N. Africa

Wheat Production

Page 33: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast Production, Selected Countries/Regions, 2005-2050

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Corn Production

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Argentina

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Page 34: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast Production, Selected Countries/Regions, 2005-2050

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Brazil

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Soybean Production

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t

Latin

S. Asia

Europe

Canada

Soybean Production

Page 35: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Production Costs

Page 36: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Wheat Costs of Production, 1995-2002, $/mt

1995 1996 1997 1998 1999 2000 2001 2002Argentina 238.35 284.34 258.58 242.72 224.36 234.68 241.26 185.61Australia SC 120.97 121.22 117.13 114.25 114.52 117.87 119.40 124.51Austria 750.06 752.33 631.56 573.00 552.73 498.57 501.21 519.59BrazilN 339.09 338.79 330.32 318.66 197.15 278.80 252.36 243.97BrazilS 339.09 338.79 330.32 318.66 197.15 278.80 252.36 243.97Canada 339.25 331.16 303.34 276.42 278.67 257.85 261.32 249.17CanALB 169.17 171.10 163.83 152.56 157.30 166.51 165.95 162.37CanMAN 169.17 171.10 163.83 152.56 157.30 166.51 165.95 162.37CanSAS 121.39 123.23 118.31 110.13 113.46 119.74 119.32 116.38China 410.96 524.55 542.39 505.05 505.69 469.80 456.97 486.05EU 636.01 642.19 576.14 565.98 543.05 502.91 519.89 539.58India 294.40 275.88 233.49 216.36 209.44 219.64 222.05 223.53Mexico 744.42 757.38 829.68 741.30 710.49 826.80 898.46 853.62South Africa 244.12 219.96 214.19 188.15 174.56 165.58 147.97 133.78Ukraine 1159.87 351.80 291.15 315.18 288.63 204.20 183.26 189.29USCplains 174.58 178.16 192.31 122.71 119.03 126.81 145.36 127.08USCplainsR 174.58 178.16 192.31 122.71 119.03 126.81 145.36 127.08USDelta 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USIllinoisN 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USIllinoisS 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USIndianaN 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USIndianaR 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USIowa 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USIowaR 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USMichigan 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USMinnesota 160.20 169.37 160.53 128.98 122.71 131.82 144.20 126.02USMinnesotaR 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USMissouriR 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USMissouriW 224.65 232.60 191.03 188.93 180.26 185.62 208.84 176.68USNorthEast 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USNPlains 160.20 169.37 160.53 128.98 122.71 131.82 144.20 126.02USOhio 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USPNW 327.10 357.06 350.79 283.95 273.06 288.17 305.34 295.63USSouthEast 227.68 245.17 246.56 255.87 247.42 255.18 270.09 241.05USSPlains 174.58 178.16 192.31 122.71 119.03 126.81 145.36 127.08USWest 327.10 357.06 350.79 283.95 273.06 288.17 305.34 295.63USWisconsin 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWisconsinW 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWNPLAINS 160.20 169.37 160.53 128.98 122.71 131.82 144.20 126.02

* Zero cost denotes no cost of production data available for crop.

Page 37: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Corn Costs of Production, 1995-2002, $/mt

1995 1996 1997 1998 1999 2000 2001 2002Argentina 336.35 389.06 444.08 400.14 398.94 437.60 448.14 362.04Austria 1081.81 1101.36 941.51 851.40 832.38 763.20 773.00 800.98BrazilN 145.67 144.66 142.29 138.84 102.77 113.91 106.28 93.86BrazilS 127.77 125.20 122.81 119.65 89.26 98.63 92.71 82.70Canada 475.56 447.00 431.44 397.34 386.69 392.59 389.91 360.82China 423.56 541.03 559.88 495.57 470.30 456.52 451.83 453.77EU 993.76 1019.89 874.51 861.08 824.02 746.49 783.04 811.50India 156.13 181.50 185.71 172.81 170.96 174.03 174.79 174.08Indonesia 82.64 95.86 86.99 66.41 65.17 62.11 60.86 67.38Mexico 463.99 498.64 544.61 560.63 621.42 651.07 739.37 703.80Pakistan 253.68 230.82 214.74 220.52 189.36 200.16 184.22 201.26Philippines 156.99 168.64 131.12 110.30 116.05 119.82 113.84 115.76South Africa 280.07 249.27 242.70 214.62 197.67 185.49 166.82 148.86Taiwan 2082.70 2027.34 1930.26 1669.14 1669.54 1837.54 1841.39 1848.51Thailand 277.11 286.55 244.20 207.55 278.00 276.59 261.98 273.92Ukraine 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USCplains 529.89 469.47 472.21 453.66 447.74 478.24 488.47 441.07USCplainsR 529.89 469.47 472.21 453.66 447.74 478.24 488.47 441.07USDelta 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USIllinoisN 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USIllinoisS 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USIndianaN 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USIndianaR 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USIowa 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USIowaR 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USMichigan 357.51 364.82 372.33 360.74 364.05 386.48 400.96 375.00USMinnesota 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USMinnesotaR 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USMissouriR 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USMissouriW 400.34 394.41 396.78 388.04 385.22 403.65 380.63 338.79USNorthEast 357.51 364.82 372.33 360.74 364.05 386.48 400.96 375.00USNPlains 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USOhio 357.51 364.82 372.33 360.74 364.05 386.48 400.96 375.00USPNW 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USSouthEast 440.35 410.09 411.21 381.15 383.15 414.24 406.81 377.00USSPlains 529.89 469.47 472.21 453.66 447.74 478.24 488.47 441.07USWest 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWisconsin 357.51 364.82 372.33 360.74 364.05 386.48 400.96 375.00USWisconsinW 357.51 364.82 372.33 360.74 364.05 386.48 400.96 375.00USWNPLAINS 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Page 38: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Soybean Costs of Production, 1995-2002, $/mt

1995 1996 1997 1998 1999 2000 2001 2002Argentina 314.40 314.96 300.98 284.10 287.41 256.10 260.61 214.00BrazilN 436.94 445.37 440.11 423.58 314.50 347.58 314.48 283.58BrazilS 436.95 443.00 435.88 420.38 315.62 348.14 306.28 277.38Canada 259.78 267.51 250.02 221.41 227.44 222.33 220.56 204.96China 227.93 343.15 376.33 294.00 269.35 250.01 245.32 258.52EU 231.99 233.58 197.55 190.69 189.47 174.08 173.48 181.51Indonesia 125.42 130.01 116.98 85.64 100.45 95.59 92.82 103.23Japan 3424.94 2994.22 2650.10 2441.86 2639.61 2910.29 2685.23 2577.50Philippines 256.24 278.90 226.23 183.50 193.70 189.70 176.58 186.88South Africa 420.11 384.21 371.18 323.20 303.24 286.73 256.83 236.83Taiwan 1789.24 1751.73 1656.15 1425.01 1418.67 1523.99 1461.77 1457.45Thailand 291.06 280.91 236.78 195.08 197.49 190.66 183.55 201.97USCplains 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USCplainsR 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USDelta 220.00 237.54 218.15 219.95 212.49 222.42 239.22 233.71USIllinoisN 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USIllinoisS 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USIndianaN 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USIndianaR 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USIowa 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USIowaR 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USMichigan 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USMinnesota 192.93 205.26 178.75 171.42 171.22 170.68 185.25 177.42USMinnesotaR 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USMissouriR 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USMissouriW 227.12 237.94 194.93 194.12 186.58 187.45 196.83 194.51USNorthEast 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USNPlains 192.93 205.26 178.75 171.42 171.22 170.68 185.25 177.42USOhio 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USPNW 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USSouthEast 250.93 262.26 233.91 240.28 229.51 235.76 267.85 249.64USSPlains 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWest 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWisconsin 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWisconsinW 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWNPLAINS 192.93 205.26 178.75 171.42 171.22 170.68 185.25 177.42

Page 39: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Wheat Costs of Production, 2005-2050, $/mt2005 2010 2015 2020 2030 2040 2050

Argentina 218.00 241.24 274.34 298.80 340.38 387.74 441.70Australia SC 125.78 132.08 137.06 117.93 121.34 124.86 128.48Austria 789.86 845.66 913.79 942.10 971.83 1002.50 1034.14BrazilN 309.31 326.39 346.39 361.87 389.65 419.56 451.77BrazilS 309.31 326.39 346.39 361.87 389.65 419.56 451.77Canada 290.62 307.78 325.61 338.72 357.16 376.60 397.10CanALB 202.88 210.24 221.76 225.95 226.96 227.98 229.00CanMAN 202.88 210.24 221.76 225.95 226.96 227.98 229.00CanSAS 144.99 151.40 160.23 165.86 172.37 179.14 186.17China 499.22 638.38 704.61 738.61 774.77 812.69 852.48EU 812.34 853.75 913.15 931.39 949.26 967.47 986.03India 265.41 305.92 355.33 414.63 564.56 768.69 1046.64Mexico 809.57 846.42 888.84 902.48 921.70 941.33 961.38South Africa 216.34 201.06 213.57 244.20 331.24 449.31 609.46Ukraine 196.33 213.49 243.43 281.94 236.93 199.11 167.33USCplains 151.95 154.51 166.70 180.23 210.70 246.31 287.95USCplainsR 151.95 154.51 166.70 180.23 210.70 246.31 287.95USDelta 0.00 0.00 0.00 0.00 0.00 0.00 0.00USIllinoisN 214.13 215.11 230.94 247.93 284.92 327.43 376.29USIllinoisS 214.13 215.11 230.94 247.93 284.92 327.43 376.29USIndianaN 214.13 215.11 230.94 247.93 284.92 327.43 376.29USIndianaR 214.13 215.11 230.94 247.93 284.92 327.43 376.29USIowa 214.13 215.11 230.94 247.93 284.92 327.43 376.29USIowaR 214.13 215.11 230.94 247.93 284.92 327.43 376.29USMichigan 0.00 0.00 0.00 0.00 0.00 0.00 0.00USMinnesota 146.51 150.71 162.29 174.85 202.77 235.15 272.70USMinnesotaR 214.13 215.11 230.94 247.93 284.92 327.43 376.29USMissouriR 214.13 215.11 230.94 247.93 284.92 327.43 376.29USMissouriW 214.13 215.11 230.94 247.93 284.92 327.43 376.29USNorthEast 0.00 0.00 0.00 0.00 0.00 0.00 0.00USNPlains 146.51 150.71 162.29 174.85 202.77 235.15 272.70USOhio 0.00 0.00 0.00 0.00 0.00 0.00 0.00USPNW 351.10 358.93 387.85 420.26 493.93 580.51 682.27USSouthEast 289.10 293.20 316.14 340.95 395.87 459.63 533.66USSPlains 151.95 154.51 166.70 180.23 210.70 246.31 287.95USWest 351.10 358.93 387.85 420.26 493.93 580.51 682.27USWisconsin 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWisconsinW 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWNPLAINS 146.51 150.71 162.29 174.85 202.77 235.15 272.70

Page 40: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Corn Costs of Production, 2005-2050, $/mt

2005 2010 2015 2020 2030 2040 2050Argentina 414.26 459.48 527.04 579.41 672.97 781.64 907.86Australia SC 0.00 0.00 0.00 0.00 0.00 0.00 0.00Austria 1224.72 1287.32 1371.57 1395.58 1404.05 1412.58 1421.15BrazilN 120.07 124.05 132.85 137.67 144.67 152.03 159.76BrazilS 103.62 107.51 115.56 120.23 127.38 134.96 142.99Canada 443.31 454.76 476.09 485.08 489.35 493.66 498.01China 476.58 609.70 671.44 702.64 734.42 767.64 802.36EU 1256.51 1310.44 1386.89 1399.39 1400.48 1401.57 1402.66India 214.78 249.39 291.53 345.03 486.24 685.26 965.73Indonesia 79.51 90.07 101.10 111.19 133.67 160.70 193.19Mexico 663.18 699.66 742.12 761.33 792.54 825.04 858.86Pakistan 215.12 229.98 250.40 269.92 308.67 352.98 403.66Philippines 123.86 141.38 160.83 182.10 231.49 294.28 374.11South Africa 242.28 224.59 238.08 269.85 356.76 471.66 623.56Taiwan 2065.05 2334.74 2598.27 2794.99 3092.69 3422.10 3786.59Thailand 306.62 364.31 408.29 443.27 505.47 576.39 657.27USCplains 520.56 540.49 580.84 626.22 728.85 848.31 987.35USCplainsR 520.56 540.49 580.84 626.22 728.85 848.31 987.35USDelta 0.00 0.00 0.00 0.00 0.00 0.00 0.00USIllinoisN 397.74 413.73 443.08 475.16 546.13 627.69 721.44USIllinoisS 397.74 413.73 443.08 475.16 546.13 627.69 721.44USIndianaN 397.74 413.73 443.08 475.16 546.13 627.69 721.44USIndianaR 397.74 413.73 443.08 475.16 546.13 627.69 721.44USIowa 397.74 413.73 443.08 475.16 546.13 627.69 721.44USIowaR 397.74 413.73 443.08 475.16 546.13 627.69 721.44USMichigan 443.54 460.73 494.42 531.82 615.54 712.43 824.59USMinnesota 0.00 0.00 0.00 0.00 0.00 0.00 0.00USMinnesotaR 397.74 413.73 443.08 475.16 546.13 627.69 721.44USMissouriR 397.74 413.73 443.08 475.16 546.13 627.69 721.44USMissouriW 397.74 413.73 443.08 475.16 546.13 627.69 721.44USNorthEast 443.54 460.73 494.42 531.82 615.54 712.43 824.59USNPlains 0.00 0.00 0.00 0.00 0.00 0.00 0.00USOhio 443.54 460.73 494.42 531.82 615.54 712.43 824.59USPNW 0.00 0.00 0.00 0.00 0.00 0.00 0.00USSouthEast 442.41 461.56 496.15 534.09 618.82 717.00 830.75USSPlains 520.56 540.49 580.84 626.22 728.85 848.31 987.35USWest 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWisconsin 443.54 460.73 494.42 531.82 615.54 712.43 824.59USWisconsinW 443.54 460.73 494.42 531.82 615.54 712.43 824.59USWNPLAINS 0.00 0.00 0.00 0.00 0.00 0.00 0.00

Page 41: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Soybean Costs of Production, 2005-2050, $/mt

2005 2010 2015 2020 2030 2040 2050Argentina 241.45 269.26 304.98 332.98 382.35 439.03 504.13BrazilN 370.06 387.91 413.10 427.45 447.07 467.59 489.06BrazilS 408.86 427.45 454.23 468.56 487.05 506.27 526.26Canada 243.31 255.20 265.71 269.87 270.28 270.68 271.08China 261.87 338.78 372.38 391.85 415.29 440.14 466.47EU 277.85 286.53 299.83 299.56 294.11 288.75 283.49Indonesia 119.89 135.34 152.24 168.13 204.53 248.82 302.70Japan 2957.74 3459.74 3803.20 3891.39 3903.86 3916.37 3928.92Philippines 179.40 196.68 210.36 225.70 256.48 291.46 331.21South Africa 365.91 346.99 369.49 422.07 569.02 767.14 1034.24Taiwan 1630.53 1863.64 2082.94 2254.66 2520.02 2816.61 3148.12Thailand 205.40 248.06 272.49 294.96 336.64 384.21 438.50USCplains 0.00 0.00 0.00 0.00 0.00 0.00 0.00USCplainsR 0.00 0.00 0.00 0.00 0.00 0.00 0.00USDelta 261.68 283.13 304.75 328.32 381.43 443.14 514.84USIllinoisN 219.08 238.91 257.89 278.51 325.06 379.39 442.80USIllinoisS 219.08 238.91 257.89 278.51 325.06 379.39 442.80USIndianaN 219.08 238.91 257.89 278.51 325.06 379.39 442.80USIndianaR 219.08 238.91 257.89 278.51 325.06 379.39 442.80USIowa 219.08 238.91 257.89 278.51 325.06 379.39 442.80USIowaR 219.08 238.91 257.89 278.51 325.06 379.39 442.80USMichigan 0.00 0.00 0.00 0.00 0.00 0.00 0.00USMinnesota 199.55 217.59 234.62 253.16 295.05 343.88 400.78USMinnesotaR 219.08 238.91 257.89 278.51 325.06 379.39 442.80USMissouriR 219.08 238.91 257.89 278.51 325.06 379.39 442.80USMissouriW 219.08 238.91 257.89 278.51 325.06 379.39 442.80USNorthEast 0.00 0.00 0.00 0.00 0.00 0.00 0.00USNPlains 199.55 217.59 234.62 253.16 295.05 343.88 400.78USOhio 0.00 0.00 0.00 0.00 0.00 0.00 0.00USPNW 0.00 0.00 0.00 0.00 0.00 0.00 0.00USSouthEast 288.38 308.39 333.00 359.65 419.31 488.86 569.96USSPlains 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWest 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWisconsin 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWisconsinW 0.00 0.00 0.00 0.00 0.00 0.00 0.00USWNPLAINS 199.55 217.59 234.62 253.16 295.05 343.88 400.78

Page 42: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Soybean Cost of Production

Page 43: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Corn Cost of Production

Page 44: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Wheat Cost of Production

Page 45: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

US Consumption and Production

Page 46: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

US Consumption Regions

USSE

USWEST

USSPLAINS

USNE

USECB

USNPLAINS

USPNW

USWCB

USCPLAINS

USDELTADomestic Regions

USCPLAINSUSDELTAUSECBUSNEUSNPLAINSUSPNWUSSEUSSPLAINSUSWCBUSWEST

Page 47: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

US Production Regions

USSE

USWEST

USSPLAINS

USNE

USPNW

USCPLAINS

USWNPLAINS

USDELTA

USNPLAINSUSMN

USMI

USOH

USMOW

USMNR

USIowaW

USINRiver

USCPLAINSR

USWiscS

USILNorth

USWiscW

USILSouth

USINNorthUSIowaR

USMOR

Production RegionsUSCPLAINSUSCPLAINSRUSDELTAUSILNorthUSILSouthUSINNorthUSINRiverUSIowaRUSIowaWUSMIUSMNUSMNRUSMORUSMOWUSNEUSNPLAINSUSOHUSPNWUSSEUSSPLAINSUSWESTUSWNPLAINSUSWiscSUSWiscW

Page 48: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Estimates of consumption by region

• No estimates are available for consumption by region or state, through time– USDA and others only provide national estimates– Anecdotal estimates exist by state for selected crops

e.g. ethanol• Approach: Combine the below

– National use by crop and through time– Production– Rail shipments from each reach; and imports to each

region; all relative to national consumption– Derive estimates of consumption in each region– See attached4

Page 49: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Percent of U.S. Consumption by Crop and Region, 2002

Crop

Region Corn Wheat Soybeans

US Central Plains 14.36% 17.58% 7.86%

US Delta 2.46% 3.91% 6.28%

US Eastern Corn Belt 31.76% 11.09% 36.25%

US North East 1.93% 3.72% 1.23%

US Northern Plains 4.50% 17.99% 6.20%

US Pacific North West 0.55% 17.44% 0.00%

US South East 5.40% 6.82% 6.89%

US Southern Plains 3.97% 11.05% 0.91%

US Western Corn Belt 33.52% 6.23% 34.30%

US West 1.54% 4.15% 0.08%

Page 50: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Ethanol• Derived additional demand due to ethanol consumption of feed

grains by region and state…for the current and projection period.• Adjustments for

– State/regional ethanol planned production– Existing capacities and those planned

• Most of planned expansions are in W. corn belt– Assume extraction rates– DDG used locally and demand adjusted due to different species (Cattle,

swine and poultry)• Result—see attached

– Estimate of the net added corn demand, which results in reduced exportable surplus by region

– Notable increase in W. Corn belt, followed by E. Corn belt and C. Plains.– Total: 24 mmt or about 10% of corn production

Page 51: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Calculation of Increased Corn Consumption for Ethanol by Region to 2010

Region ForecastExpansion

inEthanolCapacity

ExpansionCorn

Equivalent

DDGProduced

CornDisplaced

Net Added CornDemand

Mil Gal Mil bu (000)Tons

Mil bu Mil bu TMT

CPlains 338.9 125.5 1,129.8 27.6 98.0 2,488.7

Delta 0.0 0.0 0.0 0.0 0.0 0.0

E. Corn B. 552.6 204.7 1,842.0 44.9 159.7 4,057.6

Northeast 0.0 0.0 0.0 0.0 0.0 0.0

NPlains 194.0 71.9 646.8 15.8 56.1 1,424.7

PNW -9.8 -3.6 -32.8 -0.8 -2.8 -72.1

Southeast 57.5 21.3 191.6 4.7 16.6 422.0

SPlains 110.5 40.9 368.4 9.0 32.0 811.5

W. Corn B. 1,943.9 720.0 6,479.8 158.0 591.9 14,273.9

West -2.5 -0.9 -8.2 -0.2 -0.7 -18.0

Total 3,185.2 1,179.7 10,617.3 259.0 920.8 23,388.2

Page 52: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Trade and Agriculture Policies

• Model includes the impacts of– Domestic subsidies– Export subsidies– Import tariffs– Import restrictions/relations

• US/Canada on wheat• Mercursor• Other minor

• Data: Agricultural Market Access Database (www.amad.org)

Page 53: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Domestic and Export SubsidiesDomestic Subsidies

Wheat Corn Soybean Percent

Canada 5 5 5EU 30 30 30Japan 50 50 50S Korea 50 50 50United States 6 7 8Source: USDA-ERS

Export Subsidies Wheat Corn Soybean

PercentArgentina -30 -30 -30Australia -1.1 -1.1 -1.1EU 27.4 19.9 0Sources: USDA-ERS

Page 54: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Import Tariffs

Wheat Corn Soybean Percent

Brazil 69.6 0.0 30.4China 0.0 81.1 18.9EU 0.0 88.2 11.8FSU 50.7 5.5 43.8Japan 61.7 18.6 19.8S Korea 66.3 10.5 23.2Latin A 51.7 0.0 48.3Mexico 53.4 32.9 13.7N Africa 20.5 3.8 75.7S Africa 27.3 0.0 72.7S Asia 93.8 6.2 0.0SE Asia 39.8 17.0 43.3Source: USDA-ERS.

Page 55: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Modal rates: Rail

– Barge– Truck– Ocean– Changes in modal rate competitiveness

• Barge delay functions and restrictions

• Competitive routes and arbitrage

Page 56: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Modal Rates: Ocean Rates

• Data– Maritime Research Inc– 1994-2004– Distances derived for each route– Pooled 7000+ observations

• Rates used– Generated from regression– R=f(Size, Miles, Oil, Dummies, trend)– See p. 68– See projections as well

Page 57: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Rail rates• Confidential waybill

– 1995-2002– Regions redefined on be compatible with flows– Concern: reporting of flows/rates from this data

• Matrixes developed for each crop– Domestic– Export

• Missing observations– Either non-movement, or, non-reported movement– Replaced during projection period with “estimated” rate function

• Estimated to reflect a consistent relationship with contiguous rates• See text p. 46-……

– Specifications• R=f(Distance, distance to barge, spread (pnw-gulf)• R=f(distance)

Page 58: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

U.S. Corn Rail Rates From Production to Export/Barge Loading Regions, 2002

ProdReg DulSup EastCo Mexico NOLA PNW TexasG Toledo Reach1 Reach2 Reach3 Reach4USCPLAINS 0.00 0.00 35.06 27.81 28.05 43.03 0.00 13.50 0.00 0.00 0.00USCPLAINSR 0.00 0.00 37.17 21.24 24.34 21.15 0.00 0.00 0.00 0.00 0.00USDELTA 0.00 0.00 0.00 6.13 0.00 0.00 0.00 0.00 0.00 0.00 0.00USILNorth 0.00 15.21 28.33 10.49 0.00 0.00 0.00 3.98 0.00 0.00 5.75USILSouth 0.00 16.81 0.00 9.22 0.00 0.00 0.00 3.27 0.00 0.00 2.67USINNorth 0.00 14.31 0.00 0.00 0.00 0.00 0.00 4.30 0.00 0.00 6.25USIowaR 0.00 0.00 0.00 0.00 0.00 0.00 0.00 7.76 5.14 0.00 7.84USIowaW 0.00 0.00 32.62 21.61 0.00 22.79 0.00 13.15 13.25 0.00 9.64USMI 0.00 0.00 0.00 0.00 0.00 0.00 0.00 12.51 0.00 0.00 12.51USMN 0.00 0.00 33.50 0.00 25.59 25.53 0.00 13.00 8.89 10.32 12.01USMNR 7.94 0.00 43.05 25.86 26.47 0.00 0.00 11.29 8.00 7.34 10.98USMOR 0.00 0.00 0.00 0.00 0.00 0.00 0.00 5.10 0.00 0.00 0.00USMOW 0.00 0.00 35.25 18.51 35.39 0.00 0.00 5.81 0.00 0.00 0.00USNPLAINS 13.26 0.00 39.49 0.00 25.03 0.00 0.00 19.20 0.00 14.66 0.00USOH 0.00 18.22 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USSE 0.00 0.00 0.00 6.61 0.00 0.00 0.00 0.00 0.00 0.00 0.00USSPLAINS 0.00 0.00 6.75 0.00 0.00 11.06 0.00 0.00 0.00 0.00 0.00USWiscS 0.00 0.00 0.00 0.00 0.00 0.00 0.00 7.59 0.00 0.00 7.41

Note: Rate of 0 implies no movement.

Page 59: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

U.S. Wheat Rail Rates From Production to Export/Barge Loading Regions, 2002

ProdReg DulSup EastCo Mexico NOLA PNW TexasG Toledo Reach1 Reach2 Reach3 Reach4USCPLAINS 56.35 0.00 27.08 22.92 35.38 22.33 0.00 17.98 20.96 26.21 19.26USCPLAINSR 0.00 0.00 0.00 21.25 0.00 18.41 0.00 14.05 0.00 24.30 15.30USDELTA 0.00 0.00 18.02 8.21 0.00 0.00 0.00 0.00 0.00 0.00 0.00USILNorth 0.00 0.00 22.06 9.43 0.00 20.60 10.12 11.38 0.00 0.00 10.97USILSouth 0.00 0.00 0.00 0.00 0.00 0.00 10.91 5.77 0.00 0.00 0.00USINNorth 0.00 13.80 0.00 0.00 0.00 0.00 0.00 10.78 0.00 0.00 0.00USINRiver 0.00 0.00 0.00 0.00 0.00 0.00 0.00 6.82 0.00 0.00 0.00USMI 0.00 20.52 35.00 0.00 0.00 0.00 5.34 11.60 0.00 0.00 8.59USMN 13.37 0.00 0.00 0.00 37.58 24.88 0.00 18.99 0.00 16.20 20.28USMNR 0.00 0.00 0.00 0.00 0.00 0.00 0.00 9.29 0.00 6.25 9.51USMOW 0.00 0.00 0.00 23.33 0.00 18.36 0.00 10.51 0.00 0.00 0.00USNE 0.00 11.66 0.00 0.00 0.00 0.00 19.73 42.00 0.00 0.00 48.50USNPLAINS 21.84 0.00 0.00 33.53 47.45 31.91 0.00 28.70 0.00 26.40 25.70USOH 0.00 15.18 0.00 11.75 0.00 0.00 4.68 13.57 0.00 0.00 13.07USPNW 0.00 0.00 0.00 0.00 14.13 32.05 0.00 26.12 0.00 27.83 0.00USSE 0.00 11.06 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USSPLAINS 0.00 0.00 25.05 18.82 0.00 18.89 0.00 31.98 0.00 0.00 31.98USWEST 0.00 0.00 0.00 0.00 26.31 26.81 0.00 38.66 0.00 0.00 40.23USWiscS 0.00 0.00 28.17 0.00 0.00 0.00 0.00 10.96 0.00 0.00 8.08USWiscW 0.00 0.00 0.00 30.20 0.00 0.00 0.00 10.03 0.00 0.00 10.03USWNPLAINS 33.99 0.00 82.43 49.10 33.59 0.00 0.00 51.75 0.00 0.00 41.57Note: Rate of 0 implies no movement.

Page 60: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

U.S. Soybean Rail Rates From Production to Export/Barge Loading Regions, 2002

ProdReg DulSup EastCo Mexico NOLA PNW TexasG Toledo Reach1 Reach2 Reach3 Reach4USCPLAINS 0.00 0.00 34.00 20.69 31.58 17.67 0.00 9.02 0.00 0.00 0.00USCPLAINSR 0.00 0.00 28.31 17.33 24.50 17.58 0.00 5.14 0.00 0.00 0.00USDELTA 0.00 0.00 0.00 9.58 0.00 0.00 0.00 0.00 0.00 0.00 0.00USILNorth 0.00 0.00 0.00 12.25 27.76 0.00 0.00 6.64 0.00 0.00 7.47USILSouth 0.00 0.00 0.00 11.26 0.00 0.00 0.00 5.17 0.00 0.00 0.00USINNorth 0.00 21.97 0.00 0.00 0.00 0.00 0.00 5.43 0.00 0.00 52.84USIowaR 0.00 0.00 0.00 13.43 0.00 0.00 0.00 7.02 0.00 0.00 7.02USIowaW 0.00 0.00 27.52 21.38 0.00 0.00 0.00 12.71 5.21 0.00 9.12USMI 0.00 17.04 0.00 108.14 0.00 0.00 0.00 0.00 0.00 0.00 0.00USMN 10.21 0.00 37.89 23.47 29.58 0.00 0.00 15.99 0.00 10.97 14.77USMNR 0.00 0.00 0.00 21.97 27.82 0.00 0.00 11.20 7.69 11.10 10.87USMOR 0.00 0.00 0.00 0.00 0.00 0.00 0.00 4.13 0.00 0.00 0.00USMOW 0.00 0.00 23.24 15.53 31.37 27.10 0.00 6.71 5.52 0.00 0.00USNE 0.00 32.29 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00USNPLAINS 11.82 0.00 0.00 25.11 29.34 23.76 0.00 17.73 18.70 14.38 16.80USOH 0.00 21.98 0.00 0.00 0.00 0.00 0.00 12.84 0.00 0.00 23.29USPNW 0.00 0.00 0.00 0.00 37.86 0.00 0.00 0.00 0.00 0.00 0.00USSE 0.00 4.28 0.00 12.68 34.67 0.00 0.00 0.00 0.00 0.00 0.00USSPLAINS 0.00 0.00 7.95 27.01 0.00 12.53 0.00 0.00 0.00 0.00 0.00USWiscS 0.00 0.00 0.00 0.00 0.00 0.00 0.00 7.56 0.00 0.00 7.56Note: Rate of 0 implies no movement.

Page 61: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Truck rates

• Used to allow for truck to barge shipping locations

• Distance matrix estimated: – centroid of each prod region to export and

barge loading regions, and domestic regions

• Rate function derived from trucking data from USDA AMS– 4th Qtr 2003 to 3rd qtr 2004.

Page 62: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Estimated Relationship Between Distance, Rate/Loaded Mile and Cost/mt

0 500 1000 1500 2000 25000.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

Rat

e ($

/Loa

ded

Mile

)

0

10

20

30

40

50

60

70

Rat

e ($

/MT

)

$/Loaded Mile$/MT

Page 63: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Barge Rates

• Data source– USDA AMS– For each reach

• Adjustments– Draft adjustments for above/below St. Louis

(see p. 54)

Page 64: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Draft Adjusted Average Barge Rates for Six Reaches ($/mt)

19901991

19921993

19941995

19961997

19981999

20002001

20022003

0

5

10

15

20

25

Adj

uste

d B

arge

Rat

e ($

/MT

) St Louis

McGregor

Mpls

Peoria

Louisville

Cincinnati

Page 65: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Handling Fees

• Separate handling fees imposed for additional costs of selected movements– Barges– Great Lakes

Page 66: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Barge Transfer Costs

Function c/b $/t Conversion $/mt Transfer 3 1.05 35.00 1.10 Direct 4 1.43 35.75 1.47 Rough 5 1.45 29.00 1.84

Page 67: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Handling Fees on the Great LakesElement/function Units US via US via Canada via

Duluth Toledo T. Bay c/b $/t $/t C$/mt Port Elevation 1 2000 lb 2.75 2.25 8.17 Laker rates to St. Law 2000 lb 8.75 5 15 Locakage (incl other) 2000 lb 3 3 3 Transfer elevator 2000 lb 2.75 2.75 2.59 Total: Fob Ship St.Lawrence

17.25 13 28.76

$/mt $/mt $/mt Country elevation Port Elevation 1 3.03 2.48 5.20 Laker rates to St. Law 9.65 5.51 9.55 Locakage (incl other) 3.31 3.31 3.31Transfer Elevator 3.03 3.03 1.65 Total: Fob Ship St.Lawrence

19.01 14.33 19.71

Page 68: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Selected Comparisons: Rail/Barge via Reach 1 vs. Rail/Barge Direct

• Problem– Rail rates from origins to local barge points vs. St. Louis (Reach 1)

• Rates to St Louis have declined selectively• In some cases, lower in absolute value than the local Reach

• Analysis: For comparison– Derive comparative rail advantage of rail to reach 1 and then barge; vs., Rail to local reach

(3 or 4) and then barge– 2002 barge rates for comparisons

• Reach 1 4.99/mt• Reach 2 12.98• Reach 3 16.66• Reach 4 10.43

• Selected comparisons– See Table 6.6.4-6.6.6

• Major point– Selectively, rails have lowered rates to Reach 1 (and in some cases US Gulf) to favor that

movement, vs., shipment to local reaches. – Model:

• Major shift in optimal solution to favor rail to StLouis flows• See below

Page 69: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Barge delay functions

• Barge rates were: B=B+D where B is barge rate above, plus D=delay cost

• Delay costs– Derived for each reach 1-4– Oak Ridge Model

• Average wait time=f(volume)• Cost=f(wait time)

– Assume “normal traffic” for other commodities– Current and expanded lock system

• See attached

Page 70: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Relationship Between Change in Barge Rate and Volume by Reach and Existing vs. Expanded Capacity

10 20 30 40 50 60 70 80

Volume (MMT)

-5

0

5

10

15

20

25C

hang

e in

Rat

e ($

/MT

)

Existing

Expanded

Total

Congested

Reach 1

0 10 20 30 40 50 60

Volume (MMT)

-10

0

10

20

30

40

50

Cha

nge

in R

ate

($/M

T)

Existing

Expanded

Actual

Reach 2

-5 0 5 10 15 20 25 30

Volume (MMT)

-0.2

-0.1

0

0.1

0.2

0.3

0.4

0.5

0.6

Cha

nge

in R

ate

($/M

T)

Existing

Expanded

Actual

Reach 3

0 10 20 30 40 50

Volume (MMT)

-5

0

5

10

15

20

Cha

nge

in R

ate

($/M

T)

Existing

Expanded

Actual

Reach 4

Page 71: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Relationship Between Change in Barge Rate and Volume by Reach and Existing vs. Expanded Capacity

-10 0 10 20 30 40 50 60 70 80

Volume (MMT)

-10

0

10

20

30

40

50

Cha

nge

in R

ate

($/M

T)

Reach 1

Reach 2

Reach 3

Reach 4

Reach 1-4 Existing

-10 0 10 20 30 40 50 60 70 80

Volume (MMT)

-1

0

1

2

3

4

5

6

Cha

nge

in R

ate

($/M

T)

Reach 1

Reach 2

Reach 3

Reach 4

Reach 1-4 Expanded

Page 72: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Barge Loadings Reach 1-6 by Crop, 1995-2003

1995 1997 1999 2001 20030

10

20

30

40

50

MM

T

Corn

Wheat

Soybeans

Total

Page 73: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Barge Loadings by Reach, Corn, Wheat and Soybeans, 1995-2003

1995 1997 1999 2001 20030

10

20

30

40

50

60

MM

T

Reach 1a

Reach 1b

Reach 2

Reach 3

Reach 4

Reach 5

Reach 6

Grand Total

Page 74: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Barge Restrictions

• In light of – rail rate declines to St Louis – and to US Gulf, – both selectively, – prospective shifts in flows

• St Louis area restriction on transfer– Reach 1 split above and below L&D 27– About 4-5 mmt enter above 27; – and 2-4 below, but, this has been increasing

• US Gulf– Similar issues– Average rail unloads 5.9 mmt

Page 75: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

1995 1997 1999 2001 20031

2

3

4

5

6

7

MM

T

Reach 1a

Reach 1b

Barge Loadings for Below L&D27 (Reach 1a) and above (Reach 1b)

Page 76: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Rail Unloads at River Gulf

Year Corn Soy Total1995 3.2 2.7 5.91996 2.0 1.0 3.11997 2.3 0.8 3.11998 2.6 1.6 4.21999 2.7 2.2 4.92000 2.6 2.3 4.92001 2.0 2.6 4.62002 1.8 2.4 4.32003 3.5 1.8 5.32004 3.2 1.9 5.12005 3.1 1.9 5.1

Average 2.6 1.9 4.6 Avg 95-2002 2.4 2.0 4.4

Max 3.5 2.7 5.9

Source: ProExporter, F-6. Wheat was not estimated and is near inconsequential.

Page 77: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Restrictions• If run model w/o any restrictions large shift to

– Rail to StL and barge transfer; or direct to USGulf• Restrict

– St. L transfer (below 27) 6 mmt– US Gulf 5.9 mmt

• Discussion 1– Is this apparent?– Is it due to rail to barge transfer? Or rail to elevator transfer? Or due to rail capacity?

• Effect– Limits volume of grain by rail to either StL or USGulf – Force grain onto barges in Reaches 2-4

• Discussion– Other studies:

• Not apparent they encountered this issue• Likely a recent phenomena• Also apparent in econometrics of rail rates where negative trend is significant (vs. barges not)

– How defendable is this?– Is this a short term or longer-term effect (Mosher,…is it sustainable?)– Alternatives

• Retain as assumption• Estimate w/wo restriction• Rail capacity restriction (not so easy)• Handling fees: Increasing function of volume (how to parameterize)• Risk model: Captures this through rate functions, but, problem remains• others

Page 78: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Section 9

• Discuss model and results

• Highlight– Missing rail rates on PNW– Interpret

Page 79: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Model Specification: Overview

• Model is nonlinear (due to delay costs) where• Objective

– Minimize costs• Costs include: production, interior shipping, handling, ocean

shipping costs adjusted for production and export subsidies, and import tariffs

– Subject to• Meeting demands• Area planted restrictions in each region (total arable land is

restricted)• Rail, barge transfer• Barge capacity (as delay functions)

• Selected other restrictions (see Table 10.1 p. 104) – Wheat

Page 80: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Objective Function

where

i=index for producing regions in exporting countries, j=index for consuming regions in both exporting and importing countries,p=index for ports in exporting countries, q=index for ports in importing countries, PCci=production cost of crop c in producing region i, Aci=area used to produce crop c in producing region i, t=transportation cost per ton, Q=quantity of grains and oilseed shipped, S=production subsidies in the exporting country;r=import tariffs in the importing country;B=delay costs associated with barge shipments on each of four reaches on the Mississippi river.

Wc i

P C ci S i Acic i j

t c ij Q cij

c i pt c ip Q cip

c p qt cpq rq Q cpq

c w pt cw p B p Q cw p

w

( )

( )

Page 81: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Restrictions1)

2)

3)

4)

5)

6)

7) 8)

9)

where

y=yield per hectare in producing regions in exporting countries, TA=total arable land in each producing regions in exporting countries, MA=minimum land used for each crop in producing regions in exporting countries, MD=forecasted domestic demand in consuming regions in exporting countries and importdemand in consuming regions in importing countries,PC=handling capacity in each port in both exporting and importing countries, LDw throughput capacity for grains and oilseeds at river access point W, MQp in the minimum quantity of each crop shipped through each port in the U.S.

1)

2)

3)

4)

5)

6)

7) 8)

9)

where

y=yield per hectare in producing regions in exporting countries, TA=total arable land in each producing regions in exporting countries, MA=minimum land used for each crop in producing regions in exporting countries, MD=forecasted domestic demand in consuming regions in exporting countries and importdemand in consuming regions in importing countries,PC=handling capacity in each port in both exporting and importing countries, LDw throughput capacity for grains and oilseeds at river access point W, MQp in the minimum quantity of each crop shipped through each port in the U.S.

5)

6)

7) 8)

Yci

Aci j

Qcij p

Qcip

c

Aci

T Ai

Aci

M Aci

i

Qcij q

Qcq j

M Dcj

c i

Qcip

P Cp

c i

Qciw

L Dw

i

Q cipw

Q cw p M Q cpR R

i

Qcip q

Qcpq

p

Q cpqj

Q cq j

Page 82: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Results

• Base Case, calibration and back casting

• Projections

• Sensitivities

• All should be viewed as Preliminary and for Illustration of the MOdel

Page 83: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Base Case, calibration and back casting

• See attached• Backcasting:

– Short-run observations vs. longer term adjustments!– Calibrate for particular year, then impose on other

years precludes capturing peculiarities of individual years

• Results– See attached– Generally respectable of general trends

Page 84: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Reach Shipments: Corn Preliminary and for Illustration of the MOdel

Page 85: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Reach Shipments: Soybeans Preliminary and for Illustration of the MOdel

Page 86: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Reach Shipments: WheatPreliminary and for Illustration of the MOdel

Page 87: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Reach Shipments: Corn, Soybeans and Wheat

Preliminary and for Illustration of the MOdel

Page 88: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Projections: Existing Capacity

• Assumptions– WEFA growth in income and popn.– No subsidies beginning in 2010

• With/without expansion in barge capacity

Page 89: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Reach Shipments: ForecastPreliminary and for Illustration of the MOdel

Page 90: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast Export Volume by PortPreliminary and for Illustration of the MOdel

Page 91: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Reasons

• US land area– limited…– in many cases decreasing

• Increased domestic consumption ..reduces exportable supplies

• Competing countries land area– expanding

• Trending yields have differential impacts on prod costs– US losing advantage in wheat costs

Page 92: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Sensitivities• Assumptions

– 2002 model

• Barge and Logistical Restrictions– Barge demand analysis (long-run)– New Orleans– Reach 1– Expanded system

• PNW Spreads• Panama—decrease shipping costs by $2/mt• Free Trade

– No subsidies (prod or export) in 2010• Other macro trade

– Brazil– China demand

Page 93: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Sensitivities Barge Rates: Long-run Demand CurvePreliminary and for Illustration of the MOdel

Page 94: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Sensitivities: Reach 1 CapacityPreliminary and for Illustration of the MOdel

Page 95: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Sensitivities: New Orleans Rail CapacityPreliminary and for Illustration of the MOdel

Page 96: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Sensitivities: Expanded Lock CapacityPreliminary and for Illustration of the MOdel

Page 97: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Expanded Lock Capacity: US Export Volume by PortPreliminary and for Illustration of the MOdel

Page 98: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast: No subsidies in 2009 ForwardPreliminary and for Illustration of the Model

Page 99: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Forecast Export Volume by PortPreliminary and for Illustration of the Model

Page 100: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Sensitivities: China Soybean DemandPreliminary and for Illustration of the Model

Page 101: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Sensitivities: Ethanol DemandPreliminary and for Illustration of the Model

Page 102: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Next steps

• Resolve modeling issues above• Planned Sensitivities

– Barge and Logistical Restrictions• Barge demand analysis (long-run)• New Orleans• Reach 1• Expanded system

– PNW Spreads– Panama—decrease shipping costs by $2/mt– Free Trade

• No subsidies (prod or export) in 2010– Other macro trade

• Brazil• China demand

Page 103: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Summary of Results

• Major changes impacting barge flows– Increased rail competitiveness for selected shipments to:

• Reach 1 and direct to US Gulf

– Expansion of domestic use of some grains in selected regions:• reducing export demand

– Higher cost of production in selected crops/regions• Brazil N is not low cost vs. US soybean regions• Peculiar quality requirements in wheat provide an advantage,

despite they are not lowest cost

– Delay functions become important at Reach 1– Farm/trade policies– Fastest growth markets for US grains/Oilseeds

• SE Asia; China (Soybeans); N. Africa……

Page 104: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Risk Model

• Model Overview– Minimize costs– Subject to

• Normal constraints• Chance Constraints

– Costs inclusive of all above

• Purpose:– Quantify risks– Determine how far forward in future it is relevant to

project

Page 105: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Sources of Risk

• Lock capacity

• Supply risk—yield variability

• Demand risk

• Modal Rate Risk and Interrelationships (though these are in the objective function)

Page 106: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Lock capacity

• Due to supply and demand risks – the quantity arriving at each lock is random– Can total volume pass through a given lock?

• Objective function addresses by – rate functions increase with volume; – cost of delay increases with volume.

• Model rations lock capacity– Model evaluated with and without planned

expansions.

Page 107: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Supply and Demand Uncertainty

• These sources of risk are called “right-hand-side” uncertainty.

• Consider an supply constraint for region i and commodity j:

Note yield yij is a random variable.

S a yij ij ij

Page 108: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Chance Constraints

• Model right-hand-side uncertainty with chance constraints (Charnes and Cooper 19XX)

• With chance constraints, model will satisfy constraint with probability

• Prob( ) ij

= Prob( ) ij

or Prob( ) 1 - ij

S a yij ij ij

S

a yij

ijij

yS

aijij

ij

Page 109: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Chance Constraints con’t

• Typically choose =0.99, 0.975, 0.95, 0.9, etc.

• Note, the chance constraint is the cdf of yij

evaluated at Sij/aij

• Need to be able to evaluate the cdf of the random variables, – i.e., supply and demand

Page 110: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Chance Constraints con’t

• Source of randomness = error terms from econometric estimation of supply and demand equations

• Error terms are distributed as normal with mean zero

• No closed form solution to evaluate cdf of the normal distribution

Page 111: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Chance Constraints con’t

• Approximating distribution– Triangular distribution is often used to

approximate many other distributions including the normal

– Has closed form cdf, finite tails, can be symmetric about mean

Page 112: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Triangular pdf’s

yij

pdf

0-b b

Page 113: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Triangular pdf’s con’t

• A triangular distribution with =0 and 2=1 has – endpoints of – 95% confidence interval of (-1.90,1.90)

• For comparison, normal dist. (-1.96,1.96)

( , ) 6 6

Page 114: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Chance Constraints (cont.)

• Chance constraint– For each producing regioncommodity– For each consuming region commodity

• Need to assure that – the joint probability of satisfying all constraints

simultaneous is some specified level, e.g., 0.99, 0.975, 0.95…

Page 115: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

“Grand Unifying” Chance Constraint

• We specify one chance constraint that guarantees that all supply and demand constraints are satisfied with some specified probability

• Need to evaluate the joint cdf of all constraints

• Joint cdf of multivariate triangular?

Page 116: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Evaluating Joint Triangular cdf

• Error terms from regression models are the sources of randomness– Regression models correct for correlated error terms,

so final error terms are uncorrelated (read: independently distributed)

• Can evaluate the probability of satisfying each supply and demand constraint independently

• Multiply to get joint probability of satisfying all constraints simultaneously

Page 117: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Joint cdf con’t

• Note each constraint must be satisfied to a very high level of probability

• Example – consider 4 regions and 4 commodities = 16

constraints– If each constraint is satisfied with =0.95, joint

probability = 0.9516 = 0.44– If each constraint is satisfied with =0.997, joint

probability = 0.99716 = 0.95

• Prob used to derive distributions for Reach shipments

Page 118: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Distribution Details

Variable Scope

Incomes for each country,projected by wefa..

Can get probabilities for macrosolution..our call. Suggestproceed..and then decide if to dothis or not..

Consumption for each grain, countryand region

estimated fromregressions

C=f(...Y)

Yields for each grain, region estimated from simpleregressions

Wheat restrictions restrictions on % fromsome region...couldbe posed as havingrandomness

Modal rates

Truck non-random

Barge

Rail US. Alt: regressions estimated assystem with barge, and oilprices...mixed results. But,important for correlation to barges

Ocean World regression results...estimated asf(dist, ....and oil prices)...

Page 119: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Modal Rate Error

Page 120: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Modal Rates

• Experimentation– Supply/demand by mode (structural equations) and reduced

form models• Supply functions for rail do not exist

– Oligopoly results in supply function not defined– Reduced form is what is needed: R=f(exog variables)

– Barge: • Barge supply and level of exports are highly correlated• Use export levels as that is tied to optimization model

• Resolve– Modal pricing equations reflective of reduced form specifications

• Alternative: – Some type of “supply relation”, but, unclear how this would be

specified

Page 121: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Modal Rates: Model logic (suggestions welcome)

• Ocean shipping costs:– O=f(distance, dummies by port, fuel, trend)– Used to determine rates levels and spreads

• Barge rates (pooled)– B=f(exports, dummy by reach origin, dummy by exports, spread)

• Trend not significant– Used to estimate barge rates for each region

• Rail: Export (pooled)– R=f(distance, distance to barge, Reach origin, barge rate at each origin (1,4)

trend)• Rail domestic:

– R=f(distance, distance to barge, spread, barge. selectively)• Summary:

– Oil impacts ocean and spreads;– Barge impacted by exports and spread– Rail export: impacted by barge rates, trend– Rail domestic: somewhat independent..

Page 122: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Modal Rates: Estimation details

• Ocean shipping costs:– O=f(distance, dummies by port, fuel, trend)– China ore or trend; – R2=.42

• Barge rates (pooled)– B=f(exports, dummy by reach origin, dummy by exports, spread)

• Trend not significant; exports, ocean spread sign• Differential interaction between R2, R3, R4 and export level

– R2=.95• Rail: Export (pooled)

– R=f(distance, distance to barge, Reach origin, barge rate at each origin (1,4) trend)– Corn good R2=.77; Sbeans .65, OK Wheat .68– Corn and wheat have more complicated interactions between barge rates at the reach level

• Rail domestic:– R=f(distance, distance to barge, spread, barge. selectively)

• • Rail export: impacted by barge rates, trend

– Rail domestic: somewhat independent..

Page 123: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Modal rate functions: Concerns• Technology change

– Significant in rail corn,…– Not significant in barges– Over time: Rail rates decline at log(t)

• Fuel not significant in rail or barge– Estimated prior to 2004 when fuel surcharges began\– Oil cost will not naturally/directly impact rates in simulations

• Relationships loosely tied to ocean spreads• Relationships somewhat inconsistent (in significance) across grains• System:

– Pooled: In each case, but, in all cases “unbalanced” – Estimated as non-system due in part to

• Non-compatible time periods, geographic scope etc– Normally: estimate as system, but, requires compatible time periods,

cross-sectional observations etc.

Page 124: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Outstanding Issues

• WEFA Projections of Macro ($10K) variables • Forecasting error increasing in time.

– Variance of error terms increase over time.– At some point

• forecasting error will make it impossible to satisfy chance constraint with any reasonable degree of confidence!

• We will measure this

• Communication of results: how to present results in meaningful (to USACE) wayGraph cost vs. alpha?

Page 125: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Expected Timeline

• Incorporating rate functions– In progress– Completed by end of July

• Programming/testing of chance constraints– In progress– Completed by August

• Evaluation of scenarios– Completion fall of 2005

Page 126: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Outlook to Complete

• Deterministic resolution and report completion: 2 weeks

• Risk model: 1 month

Page 127: Longer-Term Forecasting of Commodity Flows on the Mississippi River: Application to Grains and World Trade Project report to the ACE Penultimate for discussion.

Notes

• Trend yields vs. log trend

• Check projections…w/wo can restriction..etc

• Run with vc=0

• Pnw spreads.

• Sign of trend in rail vs. barge…

• Is base about 50 mmt or 60 mmt…