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Planning, consolidation and coordination the keys for small farmers to advance in the fresh produce value chain J. Rene Villalobos, A. Nicholas Mason, Hector Flores, Chris Wishon and Omar Ahumada International Logistics and Productivity


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SLIDE 1

Planning, consolidation and coordination the keys for small farmers to advance in the fresh produce value chain

  • J. Rene Villalobos, A. Nicholas Mason, Hector Flores,

Chris Wishon and Omar Ahumada

International Logistics and Productivity Improvement Laboratory (ILPIL) School of Computing, Informatics and Decision Systems Engineering

Arizona State University

November 2014 http://ilpil.asu.edu/

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SLIDE 2

Agenda

  • Background
  • Trends in the supply chain of fresh fruits and vegetables
  • Planning
  • Coordination
  • Analytics
  • Conclusions
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SLIDE 3

Background

  • Per

capita consumption

  • f

fresh produce has increased over 60% in the last 30 years.

  • Demand is driven by demographic changes and health

concerns (Let’s move, farm to school programs).

  • From Harvard School of

Public Health: “…average

American gets a total of just three servings of fruits and vegetables a day. The latest dietary guidelines call for five to thirteen servings of fruits and vegetables a day (2½ to 6½ cups per day)”

Source: US Census Bureau 50 100 150 200 250 1980 1990 1995 2000 2005 2006 2007 2008 2009 #/persom

US$ Per capita Consumption

Fresh fruits Fresh vegetables

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SLIDE 4

Fresh Supply Chain

  • Long cycle times, perishability, high variability and other

special conditions (temperature controlled, compatibility, marketing practices) make the fresh supply chain very complex up to 50% of the product is lost when the product reaches the consumer

Grower Distribuitor Repacker Suppliers Foodservice Retailer Wholesaler Consumer Processor

Broker Broker Broker Broker

  • There are many players in the

fresh produce SC

  • This increases costs and lead

time, and reduces flexibility

  • The grower has narrow profit

margins even though the complete chain doesn’t

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SLIDE 5

Supply Chain Value in Year 2000

Consumers $78.5 Billion Retail Stores $38.0 Billion Margin: 33% Direct Markets $1.2 Billion Foodservice $39.2 Billion Margin: 70% Wholesale $51.6 Billion Margin: 15% Grower/Shipper $19.7 Billion Exports $3.4 Billion Imports $5.5 Billion

Average Transport. as Purchase Cost 17%-18%

* McLaughlin et. al. FreshTrack 1997,1998,1999

Imports: 5.5/78.5 =7%

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SLIDE 6

Supply Chain Value in Year 2010

Taken from: http://agecon.ucdavis.edu/people/faculty/roberta-cook/docs/Articles/ValueChainProduce2010.pdf

Imports: 12.3/122 =10%

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SLIDE 7

Trends

  • Direct relationships between producers and retailers

seek to reduce the "distance" between them in the value chain.

  • More direct

relationships between the retailers and growers based on year-round supply of products based

  • n contracts
  • Integrated grower-retailer planning
  • Greater control of the distribution chain by the retailers.
  • Elimination
  • f

non-added value inefficient intermediaries to better control de cost, quality and traceability of the product

  • About

to experience some

  • f

the trends already experienced in Europe.

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SLIDE 8

Background

For the (small) farmers to advance in the value chain is necessary to have the infrastructure and underlying planning systems necessary to provide services to end customers. Planning tools are needed at different levels to make the production, consolidation, distribution and marketing of fresh agricultural products more efficient. For small farmers a key question is how to reach the final consumer with limited resources

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SLIDE 9

Supply Chain

L1

Locations

L2 L3

Packing

P1 P2

Warehousing

W1 W2

DC’s

D1 C2 D3

Customers

C1 C3

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SLIDE 10

First Problem*

Objective:

Provide vertically integrated producers of highly perishable products, such as fresh fruits and vegetables, with the planning tools of the supply chain that will allow them to maximize their profits by selling directly to final distributors.

*Omar Ahumada Dissertation

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SLIDE 11

DEVELOPMENT OF PLANNI NG TOOLS

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SLIDE 12

Levels of Planning

Crop Production Technology Selection Harvest Decisions Transportation Decisions Scheduling

  • f Activities

Crop Selection Marketing Decisions Storage and Transportation Location Analysis

Strategic Tactical Operational

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SLIDE 13

Description of the problem:

Farmers:

  • Make critical tactical decisions which will influence their

entire season

1 2 3 4 Planting Periods 14 15 16 17 Harvesting Periods ……….

Date of Plant Production 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 % 15-Aug 1,662 5 5 10 10 10 10 9 9 8 8 8 8 100 30-Aug 1,828 5 5 10 10 10 10 9 9 8 8 8 8 100 14-Sep 2,373 5 5 6 10 10 10 10 10 9 9 8 8 100 29-Sep 2,564 5 5 10 10 10 10 9 9 8 8 8 8 100 14-Oct 2,698 5 5 10 10 10 10 9 9 8 8 8 8 100 29-Oct 2,684 5 5 10 10 10 10 9 9 8 8 8 8 100 13-Nov 2,896 5 5 10 10 10 10 9 9 8 8 8 8 100 28-Nov 2,837 5 5 10 10 10 10 9 9 8 8 8 8 100 13-Dec 2,337 5 5 10 10 10 10 9 9 8 8 8 8 100 28-Dec 2,183 5 6 10 20 22 10 8 7 6 6 100 12-Jan 1,794 4 5 10 15 22 10 9 9 8 8 100 27-Jan 1,385 7 7 13 13 18 18 9 9 4 2 100 11-Feb 1,200 7 7 21 21 15 15 5 4 3 2 100 26-Feb 948 6 6 16 17 12 12 8 8 8 7 100 Harvest by week March April May June November December January February

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SLIDE 14

Models Developed

Tactical Model

  • How much and when to plant
  • Land assigned to each crop
  • When to harvest and sale
  • Transportation decisions

Operational Model

  • Harvest schedule
  • Schedule of shipments
  • Storage and selling decisions
  • Transportation decisions

Tactical Decisions Crop selection Area assigned to crops Planting scheduling Market Analysis Weather Forecast Risk Analysis Tactical Decisions Labor planning Harvest plan Distribution plan Operational Decisions Harvest schedule Shipment schedule Selling decisions Feedback Price Estimates Weather Patterns Spot Prices Phase I: Tactical Phase II: Operational

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SLIDE 15

Models Developed

Tactical Plan OUTPUT Crops to plant Weekly production INPUT Weekly prices Weekly demand Transportation req. Daily maturation Production capacity INPUT Seasonal demand Available resources Crop requirements Expected price Cost information OUTPUT Weekly harvesting Weekly shipments Available inventory Operational Plan

Model interaction

  • Use tactical model a few times in the season (multiple planting dates).
  • Use the operational model every week during the season harvesting

season.

  • Use estimated costs of harvest and transportation from operational

model in tactical planning

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SLIDE 16

Supply Chain

L1

Locations

L2 L3

Packing

P1 P2

Warehousing

W1 W2

DC’s

D1 C2 D3

Customers

C1 C3

Consolidation Facility

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SLIDE 17

DEVELOPMENT OF COORDI NATI ON TOOLS

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SLIDE 18

Coordination Objective*

Develop tools to coordinate the supply chain such that optimal decisions are made in a decentralized way as if they were taken by centralized decision maker

Must create the right incentives, decision support technologies and collaboration frameworks

*Nicholas Mason’ Dissertation

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SLIDE 19

Description of the problem:

Farmers:

  • Make critical tactical decisions which will influence their

entire season

1 2 3 4 Planting Periods 14 15 16 17 Harvesting Periods ……….

Date of Plant Production 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 % 15-Aug 1,662 5 5 10 10 10 10 9 9 8 8 8 8 100 30-Aug 1,828 5 5 10 10 10 10 9 9 8 8 8 8 100 14-Sep 2,373 5 5 6 10 10 10 10 10 9 9 8 8 100 29-Sep 2,564 5 5 10 10 10 10 9 9 8 8 8 8 100 14-Oct 2,698 5 5 10 10 10 10 9 9 8 8 8 8 100 29-Oct 2,684 5 5 10 10 10 10 9 9 8 8 8 8 100 13-Nov 2,896 5 5 10 10 10 10 9 9 8 8 8 8 100 28-Nov 2,837 5 5 10 10 10 10 9 9 8 8 8 8 100 13-Dec 2,337 5 5 10 10 10 10 9 9 8 8 8 8 100 28-Dec 2,183 5 6 10 20 22 10 8 7 6 6 100 12-Jan 1,794 4 5 10 15 22 10 9 9 8 8 100 27-Jan 1,385 7 7 13 13 18 18 9 9 4 2 100 11-Feb 1,200 7 7 21 21 15 15 5 4 3 2 100 26-Feb 948 6 6 16 17 12 12 8 8 8 7 100 Harvest by week March April May June November December January February

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SLIDE 20

Description of the problem:

Consolidation Facility:

  • Role
  • f CF is to pool variance of production, achieve

economies of scale and allow year-round availability of products

  • Entry point to the cold-chain
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SLIDE 21

Description of the problem:

  • First echelon of the supply chain
  • Producers and consolidation points
  • Tactical decisions
  • There should be transparency and fairness on

contract allocation

  • Must achieve coordination despite internal

competition and asymmetric information

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SLIDE 22

Solution Approach:

Non-traditional auction for agricultural goods

  • Allocates contracts before any production has been

materialized

  • Auctions multiple products/units simultaneously
  • Agricultural planning is specially well suited for such a

mechanism

CF: Computes difference between planned and contracted demand Farmers: Respond with a production schedule CF: Define a new price schedule to announce Demand schedule met?

NO YES

Terminate Auction Initialize Auction prices

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SLIDE 23

Solution Approach:

Decentralized optimization with auctions:

10 20 30 40 50 60 1 2 3 4 5 6 7 8 9 10 11 12

Iteration 2 Supply

20 40 60 80 1 2 3 4 5 6 7 8 9 10 11 12

Iteration 1 Supply Aggregate production from Farmers

10 20 30 40 50 60 1 2 3 4 5 6 7 8 9 10 11 12

Iteration 3 Supply

20 40 60 80 1 2 3 4 5 6 7 8 9 10 11 12

Total sales from CC

10 20 30 40 50 60 1 2 3 4 5 6 7 8 9 10 11 12 10 20 30 40 50 60 1 2 3 4 5 6 7 8 9 10 11 12

Raise prices in periods 8 -10 Raise prices further in periods 8 -12 Terminate Auction

1st Consolidation 2nd Consolidation 3rd Consolidation 3rd Iteration 2nd Iteration

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SLIDE 24

Models Proposed:

Centralized and decentralized models:

Negotiated prices Contracts Quantity harvested

Centralized Model

Growers Input: Production Cost Yields Resources Output: Optimal production, sourcing and marketing Customer Input: Demand Retail Prices Market Input: Transportation costs Open Market Prices

Master Problem

Input: Production Cost Yields Resources Output: Sourcing and marketing solutions

Sub-prob 1

Input: Production Cost Yields Resources

Sub-prob 2

Input: Production Cost Yields Resources

Sub-prob N

Customer Input: Demand Retail Prices Market Input: Transportation costs Open Market Prices Output: Quantity harvested

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SLIDE 25

Convergence and Efficiency:

Convergence of formulation for various problem sizes

  • Auction – Obj: Current auction objective function value
  • Planning Mismatch: Difference between CF request and

farmers' plans

  • Optimal: Centralized, optimal solution
  • WD–Obj: Solution obtained through WD-decomposition
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SLIDE 26

Convergence and Efficiency:

Convergence of formulation for various problem sizes

  • 1200000
  • 700000
  • 200000

300000 800000 1300000 1800000 2300000 2800000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Number of Iterations

Auction Convergence (5 Farmers)

Auction - Obj Planning Mismatch Optimal WD - Obj

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SLIDE 27

Convergence and Efficiency:

Convergence of formulation for various problem sizes

  • 5000000
  • 3000000
  • 1000000

1000000 3000000 5000000 7000000 9000000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Number of Iterations

Auction Convergence (20 Farmers)

Auction - Obj Planning Mismatch Optimal WD - Obj

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SLIDE 28

Convergence and Efficiency:

Convergence of formulation for various problem sizes

  • 12000000
  • 7000000
  • 2000000

3000000 8000000 13000000 18000000 23000000 28000000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Number of Iterations

Auction Convergence (50 Farmers)

Auction - Obj Planning Mismatch Optimal WD - Obj

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SLIDE 29

Convergence and Efficiency:

Convergence of formulation for various problem sizes

  • 70000000
  • 50000000
  • 30000000
  • 10000000

10000000 30000000 50000000 70000000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Number of Iterations

Auction Convergence (125 Farmers)

Auction - Obj Planning Mismatch Optimal WD - Obj

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SLIDE 30

Convergence and Efficiency:

Convergence Summary:

  • Convergence is faster at larger problem instances
  • Smaller optimality gap is achieved with more players
  • A reduced number of players leads to high supply elasticity
  • Few players have more control over relative supply/demand

equilibrium

  • Consistent with economic theory

Number of participants Optimal Solution Best Auction Solution % Planning Mismatch % Optimality Iteration # Iterations to 80% 1 Farm 324,269 $ (1,161,669) $ 106%

  • 358%

13

  • 5 Farms

2,136,136 $ 1,020,037 $ 25% 48% 21

  • 20 Farms

8,156,519 $ 6,930,982 $ 14% 85% 24 17 50 Farms 22,395,199 $ 20,601,215 $ 8% 92% 27 10 125 Farms 55,567,789 $ 50,863,300 $ 8% 92% 20 11

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SLIDE 31

Convergence and Efficiency:

Comparison of optimal and auction production

50000 100000 150000 200000 250000 300000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Production per farm

Broccoli Cauliflower Iceberg Romaine 50000 100000 150000 200000 250000 300000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Production per farm

Broccoli Cauliflower Iceberg Romaine

Production for 20 farmers auction outcome) Production for 20 farmers (optimal) (

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SLIDE 32

Final Considerations:

  • There should be transparency and fairness on

contract allocation

  • Reasonable convergence
  • Agents may act strategically and attempt to

influence allocation decisions

  • Incentive Compatibility: No agent can be made

better off by misrepresenting its information

  • Individual Rationality: Agents cannot be forced to

participate

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SLIDE 33

DEVELOPMENT OF MARKET ANALYTI CS TOOLS

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SLIDE 34

Mexican Farmer Case Study

Dallas, TX Atlanta, GA Chicago, IL Washington, DC New York, NY Boston, MA Base Market Secondary Markets

  • Observation Period
  • January 2000 – December

2009 (Daily prices)

  • Product Basket
  • Tomato (Plum Type)
  • Cucumber
  • Eggplant
  • Squash
  • Bell Pepper
  • Transportation Mode
  • Truck

Dallas Boston Atlanta Chicago DC NYC Tomato $0.70 $0.76 $0.70 $0.71 $0.72 $0.66 Squash $0.58 $0.46 $0.49 $0.50 $0.53 $0.46 Eggplant $0.94 $0.86 $0.57 $0.83 $0.55 $0.77 Cucumber $0.39 $0.37 $0.33 $0.39 $0.31 $0.36 Bell Pepper $1.07 $0.67 $0.99 $0.97 $1.01 $0.84

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SLIDE 35

Potential Market Opportunities

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SLIDE 36

Shipment Policy (Pragmatic)

μ and σ per threshold value is equal to the mean profit and standard deviation per pound of product shipped

  • Dallas – Boston (10 years) iterative summary of

historical profits under varying values of threshold

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SLIDE 37

Shipment Policy (Theoretical)

Threshold + Cij Total Profit (thousand $)

  • Avg. Profit

0.0302 5252.632 0.0659 0.0352 5319.384 0.0698 0.0402 5395.584 0.0740 0.0452 5438.908 0.0784 0.0502 5502.928 0.0836 0.0552 5522.660 0.0880 0.0602 5512.480 0.0921 0.0652 5487.104 0.0972 0.0702 5490.544 0.1008 0.0752 5448.264 0.1055 0.0802 5398.912 0.1113 0.0852 5352.424 0.1159 0.0902 5326.720 0.1216 0.0952 5246.104 0.1257 0.1002 5147.668 0.1312

0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 $4,900.00 $5,000.00 $5,100.00 $5,200.00 $5,300.00 $5,400.00 $5,500.00 $5,600.00

Total Profits and Average Profits vs. Threshold

Total Profit

  • Avg. Profit

0.0502<K<0.0602

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SLIDE 38

Conclusions

  • The research presented is only the start of a plan to

develop better planning tools for small farmers of fresh agricultural products to capture a larger share of the value chain.

  • Work in progress.
  • Other work:
  • Farm to school
  • Labor force planning and immigration
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SLIDE 39

Some Publications

Ahumada, O. and J.R. Villalobos, “Application of Planning Models in the Agri-Food Supply Chain: A review,” The European Journal of Operational Research, 2008, Volume 196, Issue 1, 1,

  • Pp. 1-20, July 2009.

Omar Ahumada, J. Rene Villalobos, “Operational model for planning the harvest and distribution

  • f perishable agricultural products,” International Journal of Production Economics, Vol.

133,pp. 677–687, 2011. Ahumada, O. and J.R. Villalobos, “A Tactical Model for Planning the Production and Distribution

  • f Fresh Produce,” Annals of Operations Research, DOI: 10.1007/s10479-009-0614-4, Vol.

191, Issue 1, pp. 339–358, 2011. Ruiz-Torres, A, J.R. Villalobos, M. Salvador, N. Alomoto, “Planning Models for a Floriculture Operation in Ecuador,” International Journal

  • f

Applied Management Science, International Journal of Applied Management Science, 4 (2), 148-163, 2012. Ahumada, O. and J.R. Villalobos, “Tactical Planning of the Production and Distribution of Fresh Agricultural Products under Uncertainty,” Agricultural Systems, Volume 112, pp. 17-26, 2012. Flores H. and JR Villalobos, “Using market intelligence for the Opportunistic shipping of Fresh Produce,” Int. J. Production Economics, Vol. 142, pp. 89–97, 2013. Wishon C., J. R. Villalobos, N. Mason, H. Flores, G. Lujan, and J. Rodriguez, “Use of Mixed Integer Programming for Planning Temporary Immigrant Farm Labor Force,” Applied Economic Perspectives and Policy, Under Review, 2013.

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SLIDE 40

Multi-Objective Coordination of the Food Chain

Our Vision

  • Tackle the issues of agricultural supply chains

using industrial engineering tools

  • Optimization tools
  • Statistical analysis and inference
  • Risk management
  • Identify
  • pportunities

with large impact (Farm to School, foreign labor force, climate change)

  • Design a suite of decision support tools
  • Form partnership with farmers to refine tools and

implement results

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SLIDE 41

Questions?

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SLIDE 42
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SLIDE 43

Related literature:

Mechanism design and auctions:

  • Auctions for price discovery and efficient allocation

(Vickrey, 1961)

  • Auction mechanisms have been proposed as viable tools

to achieve coordination (Vohra, 2011)

  • For

horizontal coordination, a marriage between auction mechanisms and supply contracts may be promising (Chen, 2003)

  • (Ausubel & Cramton, 2004) Provide guidelines for

designing auctions

  • f

divisible goods and details benefits/challenges of iterative auctions

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SLIDE 44

Expected Changes in Agriculture PS’s

  • Climate change will no doubt impact agricultural production

systems (PS) for decades to come

  • Frequency and strength of “abnormal” weather activities is expected to

increase

  • Greater climate uncertainty translates to higher variability in production, as

well as mark-up in market prices

  • Global population is expected to cross the 9 billion mark within

the new few decades, which adds urgency to for current PS’s to increase productivity

  • Estimating the difference between current and the potential agricultural

production (i.e. yield gap) is a difficult task, especially at a global level

  • Incorporating marginalized farmers into this assessment is also a difficult

task due to information insufficiency and lack of market access

Ability to estimate and close agricultural yield gaps in order to meet future demand is a grand challenge

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SLIDE 45

Latest Research Advances in the Area

  • Development of Integrated Assessment models that assess the

impact

  • f

future climate changes

  • n

productivity, land-use patterns, and agricultural markets for major crops (on a regional and global, macro-level)

  • Consider future climate conditions, vegetation and crop growth patterns, and

socio-economic factors by simulation

  • Integrate these components dynamically with land-use models that attempt

to meet future demand with regional production

  • Provide

scenario-based assessments of global and regional agricultural production systems

  • Development of models that can estimate crop yield potentials

based on environmental and technological characteristics

  • Provide data collection and estimation methodologies aimed at determining

current and potential production of different regions of the world

  • Identify methods to close yield gaps through technological investments, such

as genome advances and better production planning at the farm

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SLIDE 46

Identified Gaps in Literature Work

  • Current assessment models are great tools to estimate future

patterns in agricultural productivity at a macro-level

  • However, as an individual (more sophisticated) farmer, there are

little to no tools available to:

  • Determine

needed infrastructure technologies specific to the climate variability and production characteristics of his/her region

  • Identify demand growth opportunities for particular products in markets
  • Lack
  • f

tools that could incentivize “larger farmers” in incorporating marginalized farmers into their own supply chains

  • Identify

geographical regions with the “almost” right production characteristics that could:

  • Produce products with identified growth opportunities
  • Help diversify production and mitigate risk from climate variability
  • Develop

supply chain and production strategies to connect production potential with demand growth opportunities

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SLIDE 47

Current Work in the Research Area

  • Development
  • f
  • ptimization-based

modeling tools geared towards farmers with some stake in agricultural production and that may seek to:

  • Protect his/her current production from climate variability by investing in

specific technologies or identified regions with identified production potential

  • Maximize profits by taking advantage of demand growth opportunities
  • Diversify his/her investment risk by cooperating with other farmers and

sharing resources

  • Environmental (e.g. temp, soil,

sunlight, Climate variability, etc.)

  • Resources (e.g. water, labor,

infrastructure, etc.)

  • Capacity (e.g. allocated, free)
  • Environmental
  • Resources
  • Capacity
  • Environmental
  • Joint infrastructure

& resources

  • Environmental
  • Resources
  • Capacity

$ for infrastructure $ for products $ for pool resources and infrastructure

  • Price
  • Import/

Exports

  • Price
  • Import/

Exports

… …

$ for pool resources and infrastructure

To wholesale:

  • DV: Quantity to send
  • Limited entrance

Contracted Supply:

  • DV: Quantity to send
  • Penalty for not meeting contract

e.g.