Abstract
Dairy wastes in third-world countries are not adequately utilized to generate valuable by-products and trade them commercially for financial and environmental benefits. This paper focuses on such wastes and considers waste processing operations using the system dynamics (SD) simulation approach. Primary data used to build the SD model was collected from the farm records, a questionnaire, and a follow-up interview with management members. This model illustrates advancements in the dairy sector and equips a system dynamics framework with the necessary degree of validation to address the intricate challenge of waste management in dairy operations. The study deployed system dynamics methodology and replicated the real-life dairy farm processes in the Vensim simulation platform using 3 years of data. Five specific scenarios were experimented with to justify waste management processes (current operation, different allocations to bio-fertilizer, biogas, and raw dung), resulting in increased revenue and reduced landfill requirements. The ability to process waste was found to be limited by seasonality constraints. A comparison of scenarios enabled us to demonstrate that for a mid-sized dairy farm, the valuable by-products as a mix of bio-fertilizer and biogas lead to improved economic gains while protecting the environment. Thus, this work fills a crucial substantive and methodological gap in this research area. This study can assist academicians, policymakers, entrepreneurs, and responsible managers understand a solid dairy waste management system for emerging economies. The model also ignores variations in cattle types, such as milch cow, heifer (breedable), calves, and bull.
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Availability of Data and Material
The material used to calibrate the model is available in Annexures 1A and 1B (pages 25–30).
Code Availability
The model was built using Vensim™ (Version 6.0a-1) https://vensim.com/vensim-6-0a-released/, and the calibrated model is available at the link: https://github.com/ivanwtaylor/Dairy-Waste/.
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Acknowledgements
The authors thank the managers and farmers at Nahar Dairy farm who have provided various inputs for the dairy farms, milk processing units, and perceptions about the multiple by-products generated from the dairy waste.
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Authors and Affiliations
Contributions
Conceptualization, M.S., and I.W.T.; methodology, M.S., S.K., and I.W.T.; software, M.S., S.K., and I.W.T.; validation, M.S., S.K., and I.W.T.; formal analysis, M.S., S.K., and I.W.T.; literature review and investigation, M.S., and S.K.; writing—original draft preparation, M.S., and S.K.; writing—review and editing, I.W.T. and S.K.; supervision, I.W.T. All authors read and approved the final manuscript.
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Annexure. Settings and Nomenclature
Annexure. Settings and Nomenclature
1.1 Annexure 1A
1.2 Annexure 1B Nomenclature
1.2.1 Mature Cow Module
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1.
aging to cow = Calves / AVERAGE TIME TO MATURE, Units: Cow/Month
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2.
AVERAGE MILK = 450, Units: liter/Month/Cow [400,550]
- 3.
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4.
birthing behavior = WITH LOOKUP (Time,([(0,0)(36,0.1)],(0,0),(6,0.059),(12,0.083),(18,0.09),(24,0.07),(30,0.039),(36,0.039))), Units: Cows/Cow/Month
-
5.
calf births = Mature Cow*birthing behavior, Units: Cow/Month
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6.
Calves = INTEG (calf births-aging to cow,INITIAL CALVES), Units: Cow
-
7.
culled cows = Mature Cow*culling behavior, Units: Cow/Month
-
8.
culling behavior = WITH LOOKUP (Time, ([(0,0)-(36,0.2)],(0,0.006),(6,0.05),(12,0.002), (18,0.074),(24,0.073),(30,0.047),(36,0.047))), Units: Cows/Cow/Month
-
9.
INITIAL CALVES = 265, Units: Cows [200,5000], INITIAL COWS = 465, Units: Cow
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10.
INITIAL MILK = 0, Units: liter [0,2000]
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11.
Mature Cow = INTEG (aging to cow-culled cows,INITIAL COWS), Units: Cow
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12.
Milk in Storage = INTEG (milking—milk sales,INITIAL MILK), Units: liters
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13.
milk sales = Milk in Storage*MILK SALES RATE, Units: liters/Month
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14.
MILK SALES RATE = 1, Units: liters/liter/Month
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15.
milking = Mature cow * AVERAGE MILK, Units: liters/month
1.2.2 Dairy Waste Module
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1.
AVERAGE CALVE WASTE=840/6, Units: kg/Cow/Month, 6 times less than a mature cow
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2.
AVERAGE COW WASTE=840, Units: kg/(Cow*Month)
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3.
Calves= INTEG (calf births-aging to cow, INITIAL CALVES), Units: Cow
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4.
Min((-aging to Cow+Cattle to farm),2000)
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5.
Landfill= INTEG (raw dung to landfill,0), Units: kg
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6.
Mature Cow= INTEG (aging to cow-culled cows, INITIAL COWS), Units: Cow
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7.
total landfill=Land fill+Waste Drained Out, Units: kg/Month
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8.
total waste produced=AVERAGE CALVE WASTE*Calves+AVERAGE COWWASTE*Mature Cow, Units: kg/Month
-
9.
waste collected=total waste produced*IF THEN ELSE(MODULO(Time, 12 )<5, WASTE COLLECTION DRY SEASON, IF THEN ELSE(MODULO(Time, 12 )<8, WASTE COLLECTION RAINY SEASON, WASTE COLLECTION DRY SEASON)), Units: kg/Month
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10.
WASTE COLLECTION DRY SEASON=0.18, Units: fraction
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11.
WASTE COLLECTION RAINY SEASON=0.16, Units: fraction
-
12.
Waste Drained Out= INTEG (waste draining,0), Units: kg
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13.
waste draining=total waste produced-waste collected, Units: kg/Month
1.2.3 Bio-fertilizer Module
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1.
Fertilizer = INTEG (fertilizer convert rate-selling fertilizer-fertilizer to land fill, INITIAL FERTILIZER), Units: kg
-
2.
fertilizer convert rate = dairy waste usage*PROPORTION OF DAIRY WASTE USE FOR FERTILIZER, Units: kg/Month
-
3.
FERTILIZER PRICE = 0.0035, Units: dollars/kg
-
4.
fertilizer revenue = selling fertilizer*FERTILIZER PRICE, Units: dollars/Month
-
5.
fertilizer to land fill = Fertilizer*(1-PROPORTION OF FERTILIZER SOLD)/TIME TO PROCESS FERTILIZER, Units: kg/Month
-
6.
INITIAL FERTILIZER = 0, Units: kg
-
7.
PROPORTION OF DAIRY WASTE USE FOR FERTILIZER = 0.3, Units: fraction [0,0.8], 30% for fertilizer/slurry
-
8.
PROPORTION OF FERTILIZER SOLD = 0.95, Units: fraction [0,0.5]
-
9.
selling fertilizer = Fertilizer*PROPORTION OF FERTILIZER SOLD/TIME TO PROCESS FERTILIZER, Units: kg/Month
-
10.
TIME TO PROCESS FERTILIZER = 0.25, Units: MONTHS [0,1]
1.2.4 Biogas Module
-
1.
Biogas= INTEG (biogas conversion-biogas release-biogas used, INITIAL BIOGAS), Units: liters
-
2.
biogas conversion= dairy waste usage* PROPORTION OF DAIRY WASTE USE FOR BIOGAS*BIOGAS CONVERSION RATE, Units: liters/Month
-
3.
BIOGAS CONVERSION RATE= 40, Units: liters/kg
-
4.
BIOGAS PRICE= 0.2, Units: dollars/liter
-
5.
biogas release= biogas*(1-PROPORTION OF BIOGAS USED)/TIME TO SELL BIOGAS, Units: liters/Month
-
6.
biogas revenue= BIOGAS PRICE*biogas used*PROPORTION OF USED BIOGAS SOLD, Units: dollars/Month
-
7.
biogas used= Biogas*PROPORTION OF BIOGAS USED/TIME TO SELL BIOGAS, Units: liters/Month
-
8.
dairy waste usage= Dairy Waste*DIARY WASTE USAGE RATE, Units: kg/Month
-
9.
INITIAL BIOGAS= 0, Units: liters
-
10.
PROPORTION OF BIOGAS USED= 0.3, Units: fraction
-
11.
PROPORTION OF DAIRY WASTE USE FOR BIOGAS= 0, Units: fraction [0,0.5], 15% for biogas
-
12.
PROPORTION OF USED BIOGAS SOLD= 0, Units: dmnl
-
13.
TIME TO SELL BIOGAS= 1, Units: MONTHS
1.2.5 Raw Dung Module
-
1.
dairy waste usage= Dairy Waste*DIARY WASTE USAGE RATE, Units: kg/Month
-
2.
INITIAL RAW WASTES DUMPS= 600000, Units: kg
-
3.
PROPORTION OF DAIRY WASTE USE FOR BIOGAS= 0, Units: fraction [0,0.5], 15% for biogas
-
4.
PROPORTION OF DAIRY WASTE USE FOR FERTILIZER= 0.3, Units: fraction [0,0.8], 30% for fertilizer/slurry
-
5.
PROPORTION OF RAW WASTE SOLD= 0.01, Units: fraction
-
6.
Raw Dung= INTEG (raw wastes-raw waste to land fill-selling raw waste, INITIAL RAW WASTES DUMPS), Units: kg
-
7.
raw waste revenue= selling raw waste*RAW WASTES PRICE, Units: dollars/month
-
8.
raw waste to land fill= Raw dung*(1-PROPORTION OF RAW WASTE SOLD)/TIME TO SELL WASTE, Units: kg/Month
-
9.
raw wastes= dairy waste usage*(1-PROPORTION OF DAIRY WASTE USE FOR BIOGAS-PROPORTION OF DAIRY WASTE USE FOR FERTILIZER), Units: kg/Month
-
10.
dairy wastes*(1-PROPORTION OF DAIRY WASTE USE FOR BIOGAS-PROPORTION OF DAIRY WASTE USE FOR FERTILIZER) Reminder will go for raw waste
-
11.
RAW WASTES PRICE= 0.1, Units: dollars/kg
-
12.
selling raw waste= Raw Dung*PROPORTION OF RAW WASTE SOLD/TIME TO SELL WASTE, Units: kg/Month
-
13.
TIME TO SELL WASTE= 1, Units: MONTHS
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Shamsuddoha, M., Koul, S. & Taylor, I.W. Eco-efficient Dairy Waste Treatment: Validating a Sustainable System Dynamics Framework. Oper. Res. Forum 5, 12 (2024). https://doi.org/10.1007/s43069-023-00290-9
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DOI: https://doi.org/10.1007/s43069-023-00290-9