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UNIVERSITY OF PALERMO - SICILY (Italy)   Department S.En.Fi.Mi.Zo - Animal production Sector -   ANSC 400, CORNELL UNIVERSITY,  05/04/2006 Dr. Cristina Giosuè A  System Dynamics  application: “How to increase the total donkey milk production in Italy, producing profitability to the farmers?”  PhD student in “PRODUZIONI FORAGGERE MEDITERRANEE” XVIII cycle Visiting fellow at Cornell University in the Departmnent of Animal Science
Outline ,[object Object],[object Object]
Introduction to  System Dynamics modeling
What is System Dynamics and why it is important? ,[object Object],[object Object],[object Object],CSDNet
System Dynamics  is  - perspective and set of conceptual tools that enable us to understand the structure and dynamics of complex systems - qualitative modeling method that enables us to build formal computer simulations of complex systems and use them to design more effective policies and organizations - a rigorous way to help thinking, visualizing, sharing, and communication of the future evolution of complex organizations and issues over time for the purpose of solving problems and creating more robust designs, reducing the likelihood of counterintuitive or unintended consequences What is System Dynamics and why it is important? CSDNet
[object Object],Assumes a clear and linear  response of results to our decision ,[object Object],[object Object],[object Object],[object Object]
 
[object Object],[object Object],[object Object],[object Object],CSDNet
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Examples of  System Dynamics application  on a donkey milk production model
The SD Modeling Process Iteration can occur from any step to any other Modeling effort will go through each of these step many times
The SD Modeling Process Iteration can occur from any  step to any other Modeling effort will go through each of these step many times Real world Information feedback Mental models of real world Strategy, structure, decision rules Decisions (Organizational Experiments)
The researchable  PROBLEM is: How to increase the total donkey milk production in Italy, producing profitability to the farmers?”…….. Problem articulation
… ..and WHY? Problem articulation
General problem (background) Food Allergies a)   In the last 20 years the population of developed countries suffering food allergies has increased (from 5 to 10%), the children and the babies are the most affected  (www.italiasalute.it) b)   FA develop when intestinal immune system doesn’t respond normally to the food proteins or protein fragments which have escaped lumen hydrolysis Problem articulation
General problem (background) Food Allergies The main foods, that frequently cause allergy, are: egg (albumin), peanut, walnut,hazelnut, fish,shellfish, cow milk, chocolate, fruit (strawberry, pineapple,  orange, tropical fruit ecc), cheese and vegetable (tomate ecc) ecc. The common symptoms of FA are:  nausea, vomiting, abdominal pain, distension, flatulence and diarrhea; sometime skin and respiratory tract may be involved. Occasionally, severe systemic (anaphylactic) reactions are provoked and these reactions may be fatal (Sampson et al., 1996; Kimber et al., 2002).   Problem articulation
General problem (background) Cow Milk Protein Allergy (CMPA) Cow milk protein allergy ( CMPA) is the most relevant with higher social implications in developed countries . Prevalence:   2-5% of the children and babies in the developed countries (Pizzin et al., 2003; Villoslada et al., 2005) and 1% in the adults (E. Smith, 1997). Problem articulation
CMPA Most children with CMPA synthesize  specific immunoglobulin E to proteinic antigens   (Iacono et al., 1992),   such as  α ,  β  and k caseins,  β  lactoglobuline,  α  lactoalbumine and lactoferine   (Teschemacher et al., 1997;  F. Lara-Villoslada et al., 2005; CMPA in infancy and childhood)  General problem (background) Problem articulation
CMPA Actual alternative feeding systems........   - Dietary products for infants derived from several different protein sources  (such as bovine casein, bovine whey, bovine or porcine collagen, soy, or mixtures of these)  exposed to different procedures of hydrolysis and further processing  (heat treatment or ultrafiltration) - Dietary products based on amino acid mixtures   (Fiocchi et al., 2003).   General problem (background) Problem articulation
CMPA … ..but Some patients with CMAP can also react to these foods  ( multiple food allergies)  (Iannolino et al., 2005) General problem (background) Problem articulation
Researchable problem The donkey milk and CMPA Since 1990, in Italy, some researches in regard to donkey milk use on children with strong food allergies have started.   In some regions of Italy the use of donkey milk to feed the babies is not new (in Sicily until the end of the Second War and in Germany) ( Oftedal et al., 1988).   The economical, social changes and the industrial progress have caused an increase in the use of milk substitutes.  Iacono et al. (1992) showed good results by the use of donkey milk on 9 babies with  multiple food allergies. The donkey milk was well tolerated and no negative reactions were recorded. These results were confirmed by Carroccio et al. (2000) on 18/21 patients. Problem articulation
Milk composition (%) of different species and Energy (KJ/kg) (Polidori 1994)   *Salimei et al., 1999; **Salimei et al, 2001; ***Polidori 1994 2855 0.22 6.69 0.40 1.64 3.38 12.43 87.57 Woman 1939*** 0.39 6.88 0.38** 1.72   0.38  8.84 91.16 Donkey* 4846 0.80 4.70 3.84 4.80 7.50 17.8 82.2 Cow buffalo 3399 0.73 4.47 3.10 3.41 4.62 13.23 86.77 Goat 5289 0.92 4.89 4.50 6.17 7.50 19.52 80.48 Sheep 2983 0.78 4.71 2.50 3.43 3.46 12.38 87.62 Cow Casein %  Energy KJ/kg  Ash %  Lactose %  Protein %  Fat %  Total solids % Water % Species
Average nitrogen composition of the milk in some species 14.0 4000 48.0 38.0 86.0 donkey 700 500 trace trace - (Lisozime, ppm) 10 45 45 90 Horse 11.4 5 – 7.43 8.7 – 7.13 4.66 Non proteic nitrogen 58.2 17.0 15.7 16.8 Whey protein (%) 30.4 78.0 75.6 78.5 Casein (%) 88.6 95.0 91.3 95.3 Protein (%) Woman Cow Goat Sheep
Some Milk Proteic Fractions  + Jenness, 1980; *Doreau et Boulot, 1989; **Buscemi, 2000;***Ambruzzi, 2003 More investigations are necessary! 30-35 2.5 12 45 28 64 Cow+ 75 3.9 8.1 0 – 5(as1) 12,6(as2) 47 56 Goat+ No 30 60 β  lactoglobuline (% of total wheyprotein)  High  22 2-15 α  lactoalbumine  (% of total wheyprotein) no Yes Yes αs  casein (% of casein) Yes Yes β   casein  (% of casein) Woman*** Yes Yes γ   casein  (% of casein) ? ? K casein (% of casein) Donkey** Horse*
Acidic composition of the donkey milk fat ( Chiofalo 2001)   0.86 Polynsaturated  ω   3/  ω   6 8.65 Polyunsaturated  ω   6 % 7.45 Polyunsaturated  ω 3 % 16.60 Total Polyunsaturated % 15.82 Total Monounsaturated% 0.91 volatile, soluble saturated  % 67.58 Total saturated %   Average value
Essential Fatty Acids (EFAs) and human health EFAs  are long-chain polyunsaturated fatty acids derived from linolenic ( Omega-3 ), linoleic ( Omega-6 ), and oleic acids ( Omega-9 ) (The number following "Omega-" represents the position of the first double bond, counting from the terminal methyl group on the molecule)  Omega-9   is "non-essential"  because the body can manufacture a modest amount on its own, provided essential EFAs are present   EFAs  are necessary fats that humans cannot synthesize, and must be obtained through diet and support the cardiovascular, reproductive, immune, and nervous systems by the production of prostaglandines   (they are fundamental for growth in fetuses (by mother’s dietary intake) and children, particularly for neural development and maturation of sensory system   (www.goodfats.pamrotella.com )
Essential Fatty Acids (EFAs) and human health Corn, safflower, sunflower, soybean, and cottonseed oils are also sources of linoleic acid, but are refined and may be nutrient-deficient as sold in stores. chicken Fish chestnut oil wheat germ oil black currant seed oil soybean oil evening primrose oil canola oil (cold-pressed and unrefined) olive oil, olives, borage oil some dark leafy green vegetables sunflower seeds (raw) Avocados pistachio nuts sesame seeds pine nuts Brazil nuts pumpkin seeds pumpkin seeds Grapeseed oil walnuts hempseed oil and hempseeds hempseed oil and hempseeds Flaxseed oil, flaxseeds and flaxseed meal Flaxseed oil (flaxseed oil has the highest linolenic content of any food), flaxseeds and flaxseed meal Foods that contain omega 6: Foods that contain omega 3:
Conjugated linoleic acids (CLA) and human health Mixture of positional and geometric isomers of linoleic acids with two double bonds, which can be different in the position and orientation ( cis  or  trans ) located on adjacent carbons.   The main source of CLA in human diets: -food products derived from ruminants (meat and dairy products)  The CLA are showing   impressive range of beneficial health effects in biomedical studies with animal models, like: Anti-carcinogenic  Anti-obesity and altered nutrient partitioning  Anti-atherogenic and reduces cholesterol  Enhance the immune system  Enhance bone mineralization   (Bauman & Lock, 2006)
Conjugated linoleic acids (CLA) cis -9,  trans -11 CLA and  trans -10,  cis -12 CLA  cis -9,  trans -11  conjugated linoleic acid is the predominant CLA isomer found in ruminant fat including milk fat. CLA is produced as an intermediate in rumen biohydrogenation of linoleic acid present in the cows diet and a portion of the CLA in milk fat comes from that which has escaped complete biohydrogenation in the rumen.  However, the majority is made by the cow herself using the desaturase enzyme and  trans -11 18:1 (vaccenic acid), another fatty acid intermediate produced during rumen biohydrogenation. With certain diets the rumen environment is changed and a portion of the biohydrogenation produces,  trans -10,  cis -12 CLA  and  trans -10 C18:1 as intermediates.  trans -10,  cis -12 CLA is present at only trace levels in milk fat  (Bauman & Lock, 2006) cis -9,  trans -11 CLA
Trans vaccenic and CLA content in milk fat of different species in comparison with human milk fat  (Jahreis et al., 1999)
Collaborative Research project : effect of different diet and oxytocin use on donkey milk fat yield and fatty acids composition ,[object Object],[object Object],[object Object],[object Object],[object Object]
Researchable problem The donkey as livestock animal MILK ,[object Object],- PEDIATRICS - GERIATRICS - CARDIOLOGICS - FOR SOME TUMORS ,[object Object],Problem articulation
Researchable problem The donkey as livestock animal MEAT ,[object Object],[object Object],[object Object],[object Object],[object Object],Problem articulation
Researchable problem The EU is showing a particular attention to promote the livestock production in marginal areas ,  to prevent and to stop the abandon of these rural areas, which can cause very relevant and negative consequences on the environment, the economical and social aspect. The  donkey is a breed in extinction  in developed countries, and this animal is presented in marginal areas, thanks its high resistance and adaptation capacity Problem articulation
Donkey breeds in Italy 6 main donkey breeds Martina Franca Sardo
Donkey breeds in Italy 6 main donkey breeds Amiata Asinara Romagnolo
Donkey breeds in Italy 6 main donkey breeds Ragusano Pantesco Sicilian
The  donkey , which has used in the past to work the land and to transport, now as a  livestock animal  can be an  alternative profitability resource for the marginal areas  of the Mediterranean as well as for many agriculture areas of the developing countries, In relationship with the   other income   by the   sale of donkey for meat   and by   other possible utilizations   (trekking, brain gym, pet therapy)
[object Object],[object Object],[object Object],Problem of Donkey milk sale in Italy
Dynamic problem definition  ,[object Object],[object Object],[object Object],[object Object],Problem articulation
In Italy, since 1960, donkey number has decreased highly  (FAO 2005).
Qualitative reference mode of donkey milk production (liter/month)
Qualitative future reference mode of donkey milk production (liter/month)
It is important to define the relevant time horizon enough of past to show problem development enough into future to show possible delayed effects of potential policies ,[object Object],Problem articulation  Dynamic problem definition
Dynamic Hypothesis ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Tools for Dynamic Hypotheses ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Dynamic Hypothesis
Population and birth rate loop INCREASE  in population increases births,  INCREASE  in births increases population. This is a  POSITIVE  feedback loop , which will cause population to grow. Dynamic Hypothesis
Population and death rate loop Population  INCREASES  death rate, death rate  DECREASES  population This is a  NEGATIVE or BALANCING  feedback   loop Dynamic Hypothesis
The simple system has two feedback loops These operate together to produce the behavior of the system. Population increases birth rate, birth rate increases population Population increases death rate, death rate decreases population Dynamic Hypothesis
Dynamic Hypothesis
Dynamic Hypothesis
Dynamic Hypothesis
Dynamic Hypothesis
Dynamic Hypothesis
Dynamic Hypothesis
Dynamic Hypothesis
 
 
 
 
 
 
 
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Dynamic Hypothesis
[object Object],[object Object],[object Object],[object Object],Dynamic Hypothesis
Graphical Representation Dynamic Hypothesis
Graphical Representation FBR and AL are Auxiliary Variables (neither stocks nor flows) Population also determines the birth and death rates in this case Dynamic Hypothesis
Stock and flows diagrams AGING CHAIN DONKEYS
Stock and flows diagrams  MILK PRODUCTION, MILK DEMAND AND MILK PRICE
Stock and flows diagrams CONSUMER
Stock and flows diagrams FEED RESOURCE
Stock and flows diagrams DONKEY FARM SYSTEM
Stock and flows diagrams REVENUE, COSTS AND NET MARGIN
Mathematics of SD models ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Dynamic Hypothesis
Testing (Formulate Simulation Model)  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Model Evaluation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Policy Design and Evaluation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
And now a little bit of practice! ,[object Object]
Thank you !

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Donkey Milk

  • 1. UNIVERSITY OF PALERMO - SICILY (Italy) Department S.En.Fi.Mi.Zo - Animal production Sector -   ANSC 400, CORNELL UNIVERSITY, 05/04/2006 Dr. Cristina Giosuè A System Dynamics application: “How to increase the total donkey milk production in Italy, producing profitability to the farmers?” PhD student in “PRODUZIONI FORAGGERE MEDITERRANEE” XVIII cycle Visiting fellow at Cornell University in the Departmnent of Animal Science
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  • 3. Introduction to System Dynamics modeling
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  • 5. System Dynamics is - perspective and set of conceptual tools that enable us to understand the structure and dynamics of complex systems - qualitative modeling method that enables us to build formal computer simulations of complex systems and use them to design more effective policies and organizations - a rigorous way to help thinking, visualizing, sharing, and communication of the future evolution of complex organizations and issues over time for the purpose of solving problems and creating more robust designs, reducing the likelihood of counterintuitive or unintended consequences What is System Dynamics and why it is important? CSDNet
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  • 10. Examples of System Dynamics application on a donkey milk production model
  • 11. The SD Modeling Process Iteration can occur from any step to any other Modeling effort will go through each of these step many times
  • 12. The SD Modeling Process Iteration can occur from any step to any other Modeling effort will go through each of these step many times Real world Information feedback Mental models of real world Strategy, structure, decision rules Decisions (Organizational Experiments)
  • 13. The researchable PROBLEM is: How to increase the total donkey milk production in Italy, producing profitability to the farmers?”…….. Problem articulation
  • 14. … ..and WHY? Problem articulation
  • 15. General problem (background) Food Allergies a) In the last 20 years the population of developed countries suffering food allergies has increased (from 5 to 10%), the children and the babies are the most affected (www.italiasalute.it) b) FA develop when intestinal immune system doesn’t respond normally to the food proteins or protein fragments which have escaped lumen hydrolysis Problem articulation
  • 16. General problem (background) Food Allergies The main foods, that frequently cause allergy, are: egg (albumin), peanut, walnut,hazelnut, fish,shellfish, cow milk, chocolate, fruit (strawberry, pineapple, orange, tropical fruit ecc), cheese and vegetable (tomate ecc) ecc. The common symptoms of FA are: nausea, vomiting, abdominal pain, distension, flatulence and diarrhea; sometime skin and respiratory tract may be involved. Occasionally, severe systemic (anaphylactic) reactions are provoked and these reactions may be fatal (Sampson et al., 1996; Kimber et al., 2002). Problem articulation
  • 17. General problem (background) Cow Milk Protein Allergy (CMPA) Cow milk protein allergy ( CMPA) is the most relevant with higher social implications in developed countries . Prevalence: 2-5% of the children and babies in the developed countries (Pizzin et al., 2003; Villoslada et al., 2005) and 1% in the adults (E. Smith, 1997). Problem articulation
  • 18. CMPA Most children with CMPA synthesize specific immunoglobulin E to proteinic antigens (Iacono et al., 1992), such as α , β and k caseins, β lactoglobuline, α lactoalbumine and lactoferine (Teschemacher et al., 1997; F. Lara-Villoslada et al., 2005; CMPA in infancy and childhood) General problem (background) Problem articulation
  • 19. CMPA Actual alternative feeding systems........ - Dietary products for infants derived from several different protein sources (such as bovine casein, bovine whey, bovine or porcine collagen, soy, or mixtures of these) exposed to different procedures of hydrolysis and further processing (heat treatment or ultrafiltration) - Dietary products based on amino acid mixtures (Fiocchi et al., 2003). General problem (background) Problem articulation
  • 20. CMPA … ..but Some patients with CMAP can also react to these foods ( multiple food allergies) (Iannolino et al., 2005) General problem (background) Problem articulation
  • 21. Researchable problem The donkey milk and CMPA Since 1990, in Italy, some researches in regard to donkey milk use on children with strong food allergies have started. In some regions of Italy the use of donkey milk to feed the babies is not new (in Sicily until the end of the Second War and in Germany) ( Oftedal et al., 1988). The economical, social changes and the industrial progress have caused an increase in the use of milk substitutes. Iacono et al. (1992) showed good results by the use of donkey milk on 9 babies with multiple food allergies. The donkey milk was well tolerated and no negative reactions were recorded. These results were confirmed by Carroccio et al. (2000) on 18/21 patients. Problem articulation
  • 22. Milk composition (%) of different species and Energy (KJ/kg) (Polidori 1994) *Salimei et al., 1999; **Salimei et al, 2001; ***Polidori 1994 2855 0.22 6.69 0.40 1.64 3.38 12.43 87.57 Woman 1939*** 0.39 6.88 0.38** 1.72 0.38 8.84 91.16 Donkey* 4846 0.80 4.70 3.84 4.80 7.50 17.8 82.2 Cow buffalo 3399 0.73 4.47 3.10 3.41 4.62 13.23 86.77 Goat 5289 0.92 4.89 4.50 6.17 7.50 19.52 80.48 Sheep 2983 0.78 4.71 2.50 3.43 3.46 12.38 87.62 Cow Casein % Energy KJ/kg Ash % Lactose % Protein % Fat % Total solids % Water % Species
  • 23. Average nitrogen composition of the milk in some species 14.0 4000 48.0 38.0 86.0 donkey 700 500 trace trace - (Lisozime, ppm) 10 45 45 90 Horse 11.4 5 – 7.43 8.7 – 7.13 4.66 Non proteic nitrogen 58.2 17.0 15.7 16.8 Whey protein (%) 30.4 78.0 75.6 78.5 Casein (%) 88.6 95.0 91.3 95.3 Protein (%) Woman Cow Goat Sheep
  • 24. Some Milk Proteic Fractions + Jenness, 1980; *Doreau et Boulot, 1989; **Buscemi, 2000;***Ambruzzi, 2003 More investigations are necessary! 30-35 2.5 12 45 28 64 Cow+ 75 3.9 8.1 0 – 5(as1) 12,6(as2) 47 56 Goat+ No 30 60 β lactoglobuline (% of total wheyprotein) High 22 2-15 α lactoalbumine (% of total wheyprotein) no Yes Yes αs casein (% of casein) Yes Yes β casein (% of casein) Woman*** Yes Yes γ casein (% of casein) ? ? K casein (% of casein) Donkey** Horse*
  • 25. Acidic composition of the donkey milk fat ( Chiofalo 2001) 0.86 Polynsaturated ω 3/ ω 6 8.65 Polyunsaturated ω 6 % 7.45 Polyunsaturated ω 3 % 16.60 Total Polyunsaturated % 15.82 Total Monounsaturated% 0.91 volatile, soluble saturated % 67.58 Total saturated % Average value
  • 26. Essential Fatty Acids (EFAs) and human health EFAs are long-chain polyunsaturated fatty acids derived from linolenic ( Omega-3 ), linoleic ( Omega-6 ), and oleic acids ( Omega-9 ) (The number following "Omega-" represents the position of the first double bond, counting from the terminal methyl group on the molecule) Omega-9 is "non-essential" because the body can manufacture a modest amount on its own, provided essential EFAs are present EFAs are necessary fats that humans cannot synthesize, and must be obtained through diet and support the cardiovascular, reproductive, immune, and nervous systems by the production of prostaglandines (they are fundamental for growth in fetuses (by mother’s dietary intake) and children, particularly for neural development and maturation of sensory system (www.goodfats.pamrotella.com )
  • 27. Essential Fatty Acids (EFAs) and human health Corn, safflower, sunflower, soybean, and cottonseed oils are also sources of linoleic acid, but are refined and may be nutrient-deficient as sold in stores. chicken Fish chestnut oil wheat germ oil black currant seed oil soybean oil evening primrose oil canola oil (cold-pressed and unrefined) olive oil, olives, borage oil some dark leafy green vegetables sunflower seeds (raw) Avocados pistachio nuts sesame seeds pine nuts Brazil nuts pumpkin seeds pumpkin seeds Grapeseed oil walnuts hempseed oil and hempseeds hempseed oil and hempseeds Flaxseed oil, flaxseeds and flaxseed meal Flaxseed oil (flaxseed oil has the highest linolenic content of any food), flaxseeds and flaxseed meal Foods that contain omega 6: Foods that contain omega 3:
  • 28. Conjugated linoleic acids (CLA) and human health Mixture of positional and geometric isomers of linoleic acids with two double bonds, which can be different in the position and orientation ( cis or trans ) located on adjacent carbons. The main source of CLA in human diets: -food products derived from ruminants (meat and dairy products) The CLA are showing impressive range of beneficial health effects in biomedical studies with animal models, like: Anti-carcinogenic Anti-obesity and altered nutrient partitioning Anti-atherogenic and reduces cholesterol Enhance the immune system Enhance bone mineralization (Bauman & Lock, 2006)
  • 29. Conjugated linoleic acids (CLA) cis -9, trans -11 CLA and trans -10, cis -12 CLA cis -9, trans -11 conjugated linoleic acid is the predominant CLA isomer found in ruminant fat including milk fat. CLA is produced as an intermediate in rumen biohydrogenation of linoleic acid present in the cows diet and a portion of the CLA in milk fat comes from that which has escaped complete biohydrogenation in the rumen. However, the majority is made by the cow herself using the desaturase enzyme and trans -11 18:1 (vaccenic acid), another fatty acid intermediate produced during rumen biohydrogenation. With certain diets the rumen environment is changed and a portion of the biohydrogenation produces, trans -10, cis -12 CLA and trans -10 C18:1 as intermediates. trans -10, cis -12 CLA is present at only trace levels in milk fat (Bauman & Lock, 2006) cis -9, trans -11 CLA
  • 30. Trans vaccenic and CLA content in milk fat of different species in comparison with human milk fat (Jahreis et al., 1999)
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  • 34. Researchable problem The EU is showing a particular attention to promote the livestock production in marginal areas , to prevent and to stop the abandon of these rural areas, which can cause very relevant and negative consequences on the environment, the economical and social aspect. The donkey is a breed in extinction in developed countries, and this animal is presented in marginal areas, thanks its high resistance and adaptation capacity Problem articulation
  • 35. Donkey breeds in Italy 6 main donkey breeds Martina Franca Sardo
  • 36. Donkey breeds in Italy 6 main donkey breeds Amiata Asinara Romagnolo
  • 37. Donkey breeds in Italy 6 main donkey breeds Ragusano Pantesco Sicilian
  • 38. The donkey , which has used in the past to work the land and to transport, now as a livestock animal can be an alternative profitability resource for the marginal areas of the Mediterranean as well as for many agriculture areas of the developing countries, In relationship with the other income by the sale of donkey for meat and by other possible utilizations (trekking, brain gym, pet therapy)
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  • 41. In Italy, since 1960, donkey number has decreased highly (FAO 2005).
  • 42. Qualitative reference mode of donkey milk production (liter/month)
  • 43. Qualitative future reference mode of donkey milk production (liter/month)
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  • 47. Population and birth rate loop INCREASE in population increases births, INCREASE in births increases population. This is a POSITIVE feedback loop , which will cause population to grow. Dynamic Hypothesis
  • 48. Population and death rate loop Population INCREASES death rate, death rate DECREASES population This is a NEGATIVE or BALANCING feedback loop Dynamic Hypothesis
  • 49. The simple system has two feedback loops These operate together to produce the behavior of the system. Population increases birth rate, birth rate increases population Population increases death rate, death rate decreases population Dynamic Hypothesis
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  • 67. Graphical Representation FBR and AL are Auxiliary Variables (neither stocks nor flows) Population also determines the birth and death rates in this case Dynamic Hypothesis
  • 68. Stock and flows diagrams AGING CHAIN DONKEYS
  • 69. Stock and flows diagrams MILK PRODUCTION, MILK DEMAND AND MILK PRICE
  • 70. Stock and flows diagrams CONSUMER
  • 71. Stock and flows diagrams FEED RESOURCE
  • 72. Stock and flows diagrams DONKEY FARM SYSTEM
  • 73. Stock and flows diagrams REVENUE, COSTS AND NET MARGIN
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