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AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) [email protected]

AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) [email protected]

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Page 1: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

AAMP Training MaterialsModule 1.4: Options for Raising Productivity Among

Resource-Poor Farmers

Steven Haggblade (MSU)

[email protected]

Page 2: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Outline

• Objectives• Profile of cotton farm households in Zambia• Sources of CF productivity gains• Linear programming (LP) optimization methods• LP Exercises & Discussion• References

Page 3: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Asset-poor farm households

• How can a farmer with low assets increase productivity?

• This man has a farm, his own labor, and a hand hoe – the most basic technology.

Page 4: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Asset-poor farm households

• The average farm household has land, family labor, and several hand hoes

• Can their technology be improved to boost farm productivity?

Page 5: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Asset-poor farm households

• The families in the previous slides have little money, do not use herbicides, and are unlikely to have access to animal traction

• What the families do have is labor• So, if families can increase labor productivity, they can

increase farm productivity too• The following discussion focuses on cotton farmers in

Zambia, examining the productivity differences between available technology packages and feasible alternatives for households of different asset holdings.

Page 6: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Objectives

• Evaluate the impact of Conservation Farming (CF) on asset-poor households compared to conventional tillage

• Analyze the impact of different productive technologies– With and without oxen– With and without cash– With and without herbicides

Page 7: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Outline

• Objectives• Profile of cotton farm households in Zambia• Sources of CF productivity gains• Linear programming (LP) optimization methods• LP Exercises & Discussion• References

Page 8: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Zambian Cotton Farmers

    Agro-Ecological Zone    1 2a 2b 3 Total

Total farm householdsnumber 73,313 513,218 105,543 575,071 1,267,145

percent 6% 41% 8% 45% 100%

Cotton growing householdsnumber 5,008 126,096 0 127 131,230

  percent 4% 96% 0% 0% 100%

Source: Supplemental Post-Harvest Survey of 2002/03.

Page 9: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Farm size distribution in AEZ 2aAll farming households in AEZ2a

Category Farm Size Households Area/HHA1 1.5 ha or less 46% 0.8A2 1.51 to 2.5 ha 26% 1.8B 2.51 to 5 ha 21% 2.8C 5 to 20ha 7% 6.6Total 100% 1.9

Cotton farming households in AEZ2a

Category Farm Size Households Area/HHA1 1.5 ha or less 29% 1.1A2 1.51 to 2.5 ha 31% 1.9B 2.51 to 5 ha 30% 3.0C 5 to 20ha 10% 6.5Total   100% 2.4Source: Supplemental Post-Harvest Survey of 2002/03.

Page 10: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Asset holdings

    Land Labor Nonfarm Y  Farm Size ha FTE Cattle  $/year

Non-cotton farming householdsA1.1.5 ha or less 0.9 1.6 2.6 $209

Total 2.1 1.9 3.5 $259

Cotton farming householdsA1.1.5 ha or less 1.1 1.8 0.7 $35

  Total 2.7 2.0 0.7 $84

Page 11: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Outline

• Objectives• Profile of cotton farm households in Zambia• Sources of CF productivity gains• Linear programming (LP) optimization methods• LP Exercises & Discussion• References

Page 12: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Sources of CF Productivity Gains

• Minimum tillage• Dry season land preparation• Early planting• Crop residue retention & water harvesting• Precision layout and input application

Page 13: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Sources of CF Productivity Gains

• Minimum tillage requires 75% lower energy

Page 14: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Conventional Hand Hoe

• Using a hand hoe requires a lot of energy. Every centimeter of land must be turned manually.

Page 15: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Hand Hoe Conservation Farming

• In Conservation Farming, only about 15% of the surface area is disturbed in preparing planting basins. Moving less dirt requires less energy and labor.

Page 16: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Conventional Ox Plowing

• Conventional plowing inverts all of the soil in the field. For this, the soil must be relatively soft and moist. In clay soils, the trowel-like action of the plow builds up an impermeable plow-pans after years of repeated plowing.

Page 17: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Conservation Farming with Ripper

• The CF Ripper can be used before the rains come. It is a minimum tillage method that breaks the hardpan, leaves the rest of the topsoil unturned, and needs less energy.

Page 18: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Sources of CF Productivity Gains

• Minimum tillage requires 75% lower energy• Dry season land prep overcome peak season labour

bottlenecks increased area cultivable with fixed household labour

Page 19: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Dry Season Land Preparation

Source: Haggblade and Tembo (2003).

Page 20: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Sources of CF Productivity Gains

• Minimum tillage requires 75% lower energy• Dry season land prep overcome peak season labour

bottlenecks increased area cultivable with fixed household labour

• Early planting 1-2% yield increase per day

Page 21: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Gains from Early Planting

Country Crop

Gains from early planting

(kg/week)

Zambia cassava, dried 319Mozambique cotton 100Zambia cotton 70Zambia maize 189Zimbabwe maize 200

Sources: Arlussa (1997), Birgess (2009), Haggblade and Tembo (2003), Barratt et al. (2006), Nyagumbo (2007).

Page 22: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Sources of CF Productivity Gains

• Minimum tillage requires 75% lower energy• Dry season land prep overcome peak season labour

bottlenecks increased area cultivable with fixed household labour

• Early planting 1-2% yield increase per day• Crop residue Soil Organic Matter (SOM) buildup

improved moisture retention higher yields

Page 23: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Dry Season Land Preparation

Source: Marenya and Barrett (2009)

MVP

FERTILIZER

Page 24: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Water Harvesting, CF Basins

Water harvesting boosts the amount of water concen- trated around the crop roots. Useful in semi-arid zones.

Page 25: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Water Harvesting, Rip Lines

Water harvesting boosts the amount of water concen- trated around the crop roots. Useful in semi-arid zones.

Page 26: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Sources of Maize Yield Gains Under CF

    Yield    kg/ha

Conventional plowing 1,350

Conservation farming basins 3,000Sources of difference

- Higher input use 500- Early planting 400- Water harvesting, SOM 750

  TOTAL Difference 1,650

Source: Haggblade and Tembo (2003).

Page 27: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Outline

• Objectives• Profile of cotton farm households in Zambia• Sources of CF productivity gains• Linear programming (LP) optimization methods• LP Exercises & Discussion• References

Page 28: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Method: Linear Programming (LP) Model

• Maximize Crop Income = • Revenue (∑Pi*Qi)- cost (∑ Pn*Qn)• Subject to household asset constraints

– Seasonal labour availability– Animal traction (ANTRAC)– Cash

– Land

Page 29: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

What Crops to Include?Crops grown in AEZ2a All Farms Cotton Farmsmaize 98% 99%cotton 25% 100%groundnuts 48% 56%sweet potatoes 16% 7%sunflower 11% 15%beans 7% 4%cassava 7% 3%sorghum 6% 2%soya beans 5% 3%cowpeas 5% 2%tobacco 3% 3%millet 3% 1%other crops 3% 2%

Page 30: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Alternate Technologies

  ConventionalConservation

Farming

Hand hoea) low input low inputb) high input high inputc) + herbicides

Animal traction rental d) plow ripper

Page 31: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Seasonal Labour Constraints

Season Timing HH Labour

Peak (early rains) Nov15-Dec 15 43

Mid Season Dec15-Mar 151

Harvest Apr-July 173

Dry Season Aug-Nov14 151TOTAL   518

Page 32: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Outline

• Objectives• Profile of cotton farm households in Zambia• Sources of CF productivity gains• Linear programming (LP) optimization methods• LP Exercises & Discussion• References

Page 33: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 1 – Baseline Scenario (Setup)

• Examine [LP – baseline] sheet in Excel file– Rows 01 – 25 are raw data (do not alter these).– Rows 25 – 45 will change during the exercises.– Rows 50 – 99 are where results are pasted for comparison

• Only yellow cells should be changed• Green cells display results

Page 34: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 1 – Baseline Scenario0a. Actual Base Case

•Before using Excel’s LP model to find the profit maximizing land allocation, first determine farmers’ actual land allocation•Change land allocation choice variables (yellow: line 30)•Input base values (set cells E30:G30 = line E25:G25)•Copy results to section 0.a. (row 53:65)

– Copy the entire block of values in yellow and green– When pasting, use “paste values”

Page 35: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 1 – Baseline Scenario0b. Low Technology, Profit Maximization

•Open LP optimization: Go to Data tab / Solver*•Set objective (H31)•By changing variable cells (E30:G30)•Subject to these constraints

– Available technologies (E30:G30 >= 0)– Land holdings (H30 <= D30)– Seasonal labor (H39:42 <= D39:42)

* If you don’t find the Solver add-in on the Data Tab, you may need to install it: Options/Add-Ins/Analysis Toolpak/Solver.

Page 36: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 1 – Baseline Scenario0c. Low Technology, “Safety First”

•Set objective (H31)•By changing variable cells (E30:G30)•Subject to these constraints

– Available technologies (E30:G30 >= 0)– Land holdings (H30 <= D30)– Seasonal labor (H39:42 <= D39:42)– Safety first (H37:38 >= D37:38)

* If you don’t find the Solver add-in on the Data Tab, you may need to install it: Options/Add-Ins/Analysis Toolpak/Solver.

Page 37: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

LP Results – Baseline ScenarioScenario Actual Y max Safety FirstPurchased inputs low low lowSimulation # 0a 0b 0c

M1 M1 M1Maize (Ha) 0.50 0.00 0.69

GR1 GR1 GR1Groundnut (Ha) 0.10 0.00 0.15

COT1 COT1 COT1Cotton (Ha) 0.40 1.15 0.18Total Hectares 1.00 1.15 1.02

Crop income 190 283 173Cash input costs 0 0 0Household labor input

peak 41 43 43total 109 129 111

Returns to household laborpeak 4.64 6.55 4.01

  total 1.74 2.19 1.56

Page 38: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Discussion questions: Baseline Scenario

a) Why don’t farmers maximize income?

b) Why do they adopt the safety-first rule?

Page 39: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 2 – Conventional Tillage

• 1a. Cash constraint, Safety First– Household can use only low-input technologies & must adopt

Safety First risk aversion

• 1b. No cash constraint, Safety First– Can use all conventional technologies, but must adopt Safety

First

• 1c. No cash constraint, plow rental possible– Includes all conventional technologies plus ANTRAC >= 0

• 1d. No cash constraint, household owns cattle– All conventional technologies are available in this scenario

Page 40: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 2 – Conventional Tillage1a. Cash Constrained, Hand Hoe, Safety First

•Open [LP Conventional tillage] worksheet•Open Solver and input the following•Set objective (X31)•By changing variable cells (E30:W30)•Subject to the constraints

– Available technologies (E30, O30, Q30 >= 0; all others == 0)– Land holdings (X30 <= D30)– Seasonal labor (X39-42 <= D39-42)– Safety first (X37-38 >= D37-38)

Page 41: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 2 – Conventional Tillage1b. No Cash Constraint, Hand Hoe, Safety First

•Open [LP Conventional tillage] worksheet•Open Solver and input the following•Set objective (X31)•By changing variable cells (E30:W30)•Subject to constraints

– Available tech: E30, F30, O30, P30, Q30 >= 0 (all else == 0)– Land holdings (same as before)– Seasonal labor (same as before)– Safety first (same as before)

Page 42: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 2 – Conventional Tillage1c. Cash Available, ANTRAC Rental OK, Safety First

•Open [LP Conventional tillage] worksheet•Open Solver and input the following•Set objective (X31)•By changing variable cells (E30:W30)•Subject to constraints

– Available tech: E30, F30, L30, M30, O30, P30, Q30, V30 >= 0 (all else == 0)

– Land holdings (same as before)– Seasonal labor (same as before)– Safety first (same as before)

Page 43: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 2 – Conventional Tillage1d. Cash Available, ANTRAC Ownership OK, Safety First

•Open [LP Conventional tillage] worksheet•Open Solver and input the following•Set objective (X31)•By changing variable cells (E30:W30)•Subject to constraints

– Available tech: E30, F30, L30, M30, N30, O30, P30, Q30, V30, W30 >= 0 (all else == 0)

– Land holdings (same as before)– Seasonal labor (same as before)– Safety first (same as before)

Page 44: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

LP Results – Conventional TillageSimulation #   1a 1b 1c 1dTillage hoe hoe ox rental own oxenPurchased inputs low high high highSafety first   yes yes yes yesCropped area M1 M2 M7 M8

Maize 0.69 0.28 0.35 0.26GR1 GR2 GR2 GR2

Groundnut 0.15 0.09 0.09 0.09COT1 COT1 COT4 COT5

Cotton 0.18 0.63 1.41 1.53Total Hectares 1.02 1.00 1.85 1.88

Crop income ($) 173 203 266 507Cash input costs ($) 0 81 209 74Household labor input

peak 43 43 43 43total 111 123 173 184

Returns to household labor ($/day)peak 4.01 4.69 6.17 11.75

  total   1.56 1.64 1.54 2.75

Page 45: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Discussion questions: Conventional Tillage

a) 1b. Why do farmers switch to M2?

b) 1b. Why do cash costs increase?

c) 1c. What major changes result when animal traction becomes available?

d) 1.c. Why do cash costs increase?

e) 1.d. What is the most important consequence when farmers own draft oxen?

Page 46: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 3 – Conservation Farming

• 2a. Cash constraint, Safety First– Household can use only low-input Conservation Farming

technologies & must adopt Safety First strategy

• 2b. No cash constraint, Safety First– Can use all CF technologies, but must adopt Safety First

• 2c. No cash constraint, CF ripper rental possible– Includes all CF technologies plus animal traction, Safety First

• 2d. No cash constraint, herbicides available– All CF technologies are available, plus herbicides, Safety First

Page 47: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 3 – Conservation Farming2a. No Cash + Low Input + Safety First

•Open [LP conservation farming] worksheet•Open Solver and input the following•Set objective (X31)•By changing variable cells (E30:W30)•Subject to the constraints

– Available technologies (E30, G30, O30, Q30, R30 >= 0; all others == 0)

– Land holdings (X30 <= D30)– Seasonal labor (X39-42 <= D39-42)– Safety first (X37-38 >= D37-38)

Page 48: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 3 – Conservation Farming2b. Cash Available + High-Input CF + Safety First

•Open [LP conservation farming] worksheet•Open Solver and input the following•Set objective (X31)•By changing variable cells (E30:W30)•Subject to the constraints

– Available technologies (E30, F30, G30, H30, O30, P30, Q30, R30 >= 0; all others == 0)

– Land holdings (X30 <= D30)– Seasonal labor (X39-42 <= D39-42)– Safety first (X37-38 >= D37-38)

Page 49: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 3 – Conservation Farming2c. Cash + High-Input + Ripper + Safety First

•Open [LP conservation farming] worksheet•Open Solver and input the following•Set objective (X31)•By changing variable cells (E30:W30)•Subject to the constraints

– Available technologies (E30, F30, G30, H30, K30, L30, M30, O30, P30, Q30, R30, U30, V30>= 0; all others == 0)

– Land holdings (X30 <= D30)– Seasonal labor (X39-42 <= D39-42)– Safety first (X37-38 >= D37-38)

Page 50: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Exercise 3 – Conservation Farming2d. Cash + High-Input + Ripper + Herbicide + Safety First

•Open [LP conservation farming] worksheet•Open Solver and input the following•Set objective (X31)•By changing variable cells (E30:W30)•Subject to the constraints

– Available tech (E30, F30, G30, H30, I30, J30, K30, L30, M30, O30, P30, Q30, R30, S30, T30, U30, V30>= 0; all others == 0)

– Land holdings (X30 <= D30)– Seasonal labor (X39-42 <= D39-42)– Safety first (X37-38 >= D37-38)

Page 51: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

LP Results – Conservation FarmingSimulation #   2a 2b 2c 2dTillage basins basins ripper rental basinsPurchased inputs low high high highHerbicides no no no yesSafety first   yes yes yes yesCropped area M3 M4 M4 M3

Maize 0.48 0.21 0.21 0.48GR1 GR2 GR2 GR2

Groundnut 0.15 0.09 0.09 0.09COT2 COT2 COT2 COT2h-lite COT2

Cotton 0.80 1.17 1.17 2.11 0.18Total Hectares 1.43 1.47 1.47 2.87

Crop income ($) 421 495 495 883Cash input costs ($) 0 61 61 84Household labor input

peak 43 43 43 43total 204 225 225 350

Returns to household labor ($/day)peak 9.74 11.46 11.46 20.43

  total   2.06 2.20 2.20 2.52

Page 52: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Discussion questions: Conservation Farming

a) 2a vs. 2b. What changes when high-input CF becomes feasible.

b) 2c. Why is ripper rental less profitable than hand-hoe CF?

c) 2d. What major changes result from herbicide availability?

d) 2d. What kinds of households are most likely to adopt herbicides?

Page 53: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Optimization Summary Results

          Hectares Crop Income Input cost Labor inputs (days)   Returns to Labor ($/day)          Cultivated ($US) ($US) peak total   peak totalCash-constrained households

Hand hoeconventional (1a) 1.02 $173 $0 43 111 $4.01 $1.56CF basins (2a) 1.43 $421 $0 43 204 $9.74 $2.06

Cash available for input purchaseHand hoe

conventional (1b) 1.00 $203 $81 43 123 $4.69 $1.64CF basins (2b) 1.47 $495 $61 43 225 $11.46 $2.20

CF basins + herbicides (2d) 1.88 $883 $84 43 350 $20.43 $2.52Animal traction

Plow rental (1c) 1.85 $266 $209 43 173 $6.17 $1.54Plow with own oxen (1d) 1.88 $507 $74 43 184 $11.75 $2.75

    CF ripper rental (2c) 1.47 $495 $61 43 225   $11.46 $2.20

Page 54: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

Outline

• Objectives• Profile of cotton farm households in Zambia• Sources of CF productivity gains• Linear programming (LP) optimization methods• LP Exercises & Discussion• References

Page 55: AAMP Training Materials Module 1.4: Options for Raising Productivity Among Resource-Poor Farmers Steven Haggblade (MSU) blade@msu.edu

References

• Ferguson, Thomas. 2010. Linear Programming: A Concise Introduction. Annopolis: U.S. Naval Academy.. http://www.usna.edu/Users/weapsys/avramov/Compressed%20sensing%20tutorial/LP.pdf

• Waner, Stefan. 2010. Linear Programming. http://people.hofstra.edu/Stefan_Waner/RealWorld/Summary4.html

• Wikipedia. 2011. Linear Programming. http://en.wikipedia.org/wiki/Linear_programming