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Network	
  Analysis	
  of	
  Virtual	
  Water	
  Trade	
  
               Megan	
  Konar	
  
                            	
  




                                                         	
  


                                   Civil	
  &	
  Environmental	
  Engineering	
  
                                                Princeton	
  University	
  
                                                         	
  
Global	
  DistribuKon	
  of	
  Water	
  on	
  Earth	
  



                          From	
  space,	
  Earth	
  
                          is	
  a	
  “Blue	
  Planet”	
  
Global	
  DistribuKon	
  of	
  Water	
  on	
  Earth	
  
                                                      SURFACE	
  
                                                       WATER	
  
                                                       0.34%	
  




                                                          UNDERGROUND	
  
                                                              30%	
  
                                 FRESH	
  WATER	
  
                                     3%	
  

                                                                            FROZEN	
  
                                                                             70%	
  

      OCEANS	
  97%	
  

                          Water	
  available	
  for	
  
                          plant	
  use	
  is	
  less	
  than	
  
                          0.34%	
  of	
  all	
  fresh	
  water	
  
Water	
  for	
  Food	
  
Water	
  and	
  food	
  security	
  are	
  inextricably	
  linked.	
  
	
  
Water	
  and	
  food	
  systems	
  face	
  increasing	
  pressures	
  
from	
  global	
  populaKon	
  growth,	
  economic	
  
development,	
  and	
  climate	
  change.	
  
	
  
How	
   are	
   water	
   and	
   food	
   systems	
   linked	
   through	
  
internaKonal	
  trade?	
  
Sources	
  of	
  Water	
  
The	
  vast	
  majority	
  (80%)	
  of	
  irrigaKon	
  (i.e.	
  “blue”)	
  
water	
  resources	
  goes	
  to	
  agriculture.	
  
	
  
Most	
  food	
  (60-­‐70%)	
  is	
  actually	
  rainfed,	
  or	
  
produced	
  using	
  “green”	
  water	
  resources.	
  




                                                 Green	
  Water	
  
Blue	
  Water	
  
ProducKon	
  Chain	
                                                                          0.16
                                                                                              0.47
                                                                                                        Cotton seed oil
                                                                                                                               1.07
                                                                                                                               1.00
                                                                                                                                             Cotton seed oil,
                                                                                                                                                 refined


Co`on	
                                                  Cotton seed
                                                                                  Hulling/
                                                                                 extraction
                                                                                              0.51
                                                                                              0.33
                                                                                                         Cotton seed
                                                                                                            cake

                                               0.63
                                               0.18                                           0.10
                                                                                              0.20
                                                                                                        Cotton linters
               Harvesting
Cotton plant                  Seed-cotton      Ginning
                                                                                                                       0.05
                                               0.35                                                                    0.10
                                                                                                                                       Garnetted stock
                                               0.82


                                                                          1.00          Cotton, not           Carding/
                                                         Cotton lint      1.00       carded or combed         Spinning


                                                                                                                       0.95            Cotton, carded or
                                                                                                                       0.99             combed (yarn)

                                                                                                                                           Knitting/
                                                                                                                                           weaving
                                                                                                                       0.95                                     0.05
                                                                                                                       0.99                                     0.10

                                                                                                                          Grey fabric                  Yarn waste


                                                                                                                     Wet processing

                                                                                                                       1.00
                                                                                                                       1.00

                                                                                                                              Fabric
    Legend
                                                                                                                           Finishing

     0 .35                  Product fraction                                                                           1.00
                                                                                                                       1.00

     0 .82                  Value fraction                                                                                Final textile
                                                                       Hoekstra,	
  2009	
  
Hoekstra,	
  2009	
  
Crop	
  Water	
  Use	
  Varies	
  
                 In	
  Both	
  Space	
  and	
  Time	
  




                                                      Virtual	
  Water	
  Content	
  [-­‐]	
  	
  	
  	
  	
  	
  
                              Hanasaki,	
  2010	
  



H08	
  Global	
  Hydrologic	
  
Model	
  
	
  
½₀	
  x	
  ½₀	
  SpaKal	
  ResoluKon	
  	
  
Water,	
  Food,	
  and	
  Trade	
  
The	
   water	
   embodied	
   in	
   the	
   internaKonal	
   food	
   trade	
   is	
  
referred	
  to	
  as	
  “virtual	
  water	
  trade”.	
  	
  
	
  
Virtual	
   water	
   trade	
   is	
   driven	
   by	
   underlying	
   economic	
  
system	
  and	
  climaKc	
  factors.	
  
Water,	
  Food,	
  and	
  Trade	
  
The	
   water	
   embodied	
   in	
   the	
   internaKonal	
   food	
   trade	
   is	
  
referred	
  to	
  as	
  “virtual	
  water	
  trade”.	
  	
  
	
  
Virtual	
   water	
   trade	
   is	
   driven	
   by	
   underlying	
   economic	
  
system	
  and	
  climaKc	
  factors.	
  
	
  
This	
  complex	
  system	
  can	
  be	
  represented	
  as	
  a	
  network.	
  

                                      NODES:	
   Countries	
   parKcipaKng	
  
                                      in	
  internaKonal	
  food	
  trade.	
  
                                      	
  
                                      LINKS:	
   Weighted	
   by	
   water	
  	
  	
  
                                      volumes,	
  directed	
  by	
  trade.	
  
                                      	
  
What	
  is	
  a	
  network?	
  




              …Quick	
  Intro	
  
Unweighted	
  &	
  Undirected	
           Weighted	
  &	
  Undirected	
  


                               Node	
  

                            Link	
  




 Unweighted	
  &	
  Directed	
             	
  	
  	
  Weighted	
  &	
  Directed	
  


                                          4	
                     4	
        1	
  

                                                  1	
   8	
                          2	
  
                                          2	
                     6	
  
                                                                3	
  
Network	
  ProperKes	
  
                 Undirected       Directed

  Degree



                                                k out = 0
                                                k in = 1
                           k =2




 Strength


                                    4   1

                                                 s out = 3
                                            2
                                                 s in = 10
                                    6

                         s =7
Network	
  ProperKes	
  
                Unweighted   Weighted

   Nearest
   Neighbor




   Clustering
Virtual	
  Water	
  Trade	
  Network	
  
Regional	
  Networks	
  
	
                                                       	
  	
  Crops	
  and	
  Livestock	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Crops	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Livestock	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
	
  
	
  
All	
  
Water	
  
	
  
	
  
	
  
	
  
	
  
Green	
  
Water	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
Blue	
  	
  
Water	
  
	
  
	
  
	
  

	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
Regional	
  Networks	
  
	
                                                       	
  	
  Crops	
  and	
  Livestock	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Crops	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Livestock	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
	
  
	
  
All	
  
Water	
  
	
  
	
  
	
  
	
  
	
  
Green	
  
Water	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
Blue	
  	
  
Water	
  
	
  
	
  
	
  

	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
Regional	
  Networks	
  
	
                                                       	
  	
  Crops	
  and	
  Livestock	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Crops	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Livestock	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
	
  
	
  
All	
  
Water	
  
	
  
	
  
	
  
	
                                                                                                                                                                                                                                                                                                                                                    EnKre	
  network	
  is	
  	
  
	
  
Green	
                                                                                                                                                                                                                                                                                                                                               driven	
  by	
  the	
  trade	
  	
  
Water	
                                                                                                                                                                                                                                                                                                                                               of	
  rain-­‐fed	
  crops	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
Blue	
  	
  
Water	
  
	
  
	
  
	
  

	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
Network	
  ProperKes	
  
Node	
  Degree	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
                                                                                                           k out = 0
                                                                                                           k in = 1




                                                                                    ExponenKal	
  export	
  degree	
  
                                                                                    distribuKon	
  
 Node	
  Strength	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
                                                                         Data	
  
                                                                                             4   1
                                                                         Fit	
  
                                                                                                          s out = 3
                                                                                                     2
                                                                                                          s in = 10
                                                                                             6




                                                                                    Stretched-­‐exponenKal	
  
                                                                                    strength	
  distribuKon	
  
Power	
  Law	
  RelaKonship	
  
Volume	
  of	
  virtual	
  water	
  traded	
  vs.	
  number	
  of	
  trade	
  
partners	
  follows	
  a	
  power	
  law	
  relaKonship	
  


                                                    Data	
  
                                                    Fit	
  




This	
  relaKonship	
  is	
  parKcularly	
  strong	
  for	
  food	
  import,	
  
indicaKng	
  that	
  the	
  more	
  import	
  trade	
  partners	
  a	
  country	
  
has,	
  the	
  much	
  more	
  virtual	
  water	
  it	
  imports.	
  
Evidence	
  of	
  Rich	
  Club	
  
Nearest-­‐Neighbor	
  Degree 	
  	
  	
  	
  	
  Clustering	
  Coefficient 	
  	
  
          Unweighted	
                                     Unweighted	
  
          Weighted	
                                       Weighted	
  




                                 Weights	
  break	
  down	
  disassortaKve	
  structure	
  
Network	
  Dynamics	
  Over	
  Time	
  
1986	
                  2007	
  




                                                                    %	
  Change	
  from	
  1986	
  
                                                                                                      Green	
  Water	
  




                                                                                                            Blue	
  Water	
  
Volume	
  of	
  virtual	
  water	
  embodied	
  in	
  trade	
  
has	
  more	
  than	
  doubled	
  from	
  1986-­‐2007,	
  
parKcularly	
  for	
  green	
  water.	
  
                                                            Dalin	
  et	
  al,	
  2012;	
  Konar	
  et	
  al,	
  In	
  Review	
  
Global	
  Water	
  Savings	
  from	
  Trade	
  

                         Savings	
  =	
  238	
  km3	
  yr-­‐1	
  
                         Equivalent	
  to	
  9%	
  of	
  global	
  	
  
                         agricultural	
  water	
  use	
  




                                                       Dalin	
  et	
  al,	
  2012	
  
Blue	
  and	
  Green	
  Networks	
  Save	
  Water	
  
                                                 .	
  




                                                                                                     Pos.	
  	
  Links	
  [%]	
  
                                                 .	
     Blue	
  Water	
  
                                                         Green	
  Water	
  
Global	
  Water	
  Savings	
  [m3]	
  




                                                                                                    	
  	
  <VWC	
  Gap>	
  
                                                                                                    Crop	
  Trade	
  [%]	
  
                                         What	
  is	
  driving	
  this	
  increased	
  water	
  saving	
  over	
  Kme?	
  
IntensificaKon	
  of	
  Trade	
  on	
  	
  
   Water-­‐Efficient	
  Links	
  




                               .	
  
                               .	
     Blue	
  Water	
  
                                       Green	
  Water	
  
 


Thank	
  You	
  
       	
  




                        	
  


                   QuesKons?	
  
                        	
  

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Megan Konar's Talk on Water and Food

  • 1.   Network  Analysis  of  Virtual  Water  Trade   Megan  Konar       Civil  &  Environmental  Engineering   Princeton  University    
  • 2. Global  DistribuKon  of  Water  on  Earth   From  space,  Earth   is  a  “Blue  Planet”  
  • 3. Global  DistribuKon  of  Water  on  Earth   SURFACE   WATER   0.34%   UNDERGROUND   30%   FRESH  WATER   3%   FROZEN   70%   OCEANS  97%   Water  available  for   plant  use  is  less  than   0.34%  of  all  fresh  water  
  • 4. Water  for  Food   Water  and  food  security  are  inextricably  linked.     Water  and  food  systems  face  increasing  pressures   from  global  populaKon  growth,  economic   development,  and  climate  change.     How   are   water   and   food   systems   linked   through   internaKonal  trade?  
  • 5. Sources  of  Water   The  vast  majority  (80%)  of  irrigaKon  (i.e.  “blue”)   water  resources  goes  to  agriculture.     Most  food  (60-­‐70%)  is  actually  rainfed,  or   produced  using  “green”  water  resources.   Green  Water   Blue  Water  
  • 6. ProducKon  Chain   0.16 0.47 Cotton seed oil 1.07 1.00 Cotton seed oil, refined Co`on   Cotton seed Hulling/ extraction 0.51 0.33 Cotton seed cake 0.63 0.18 0.10 0.20 Cotton linters Harvesting Cotton plant Seed-cotton Ginning 0.05 0.35 0.10 Garnetted stock 0.82 1.00 Cotton, not Carding/ Cotton lint 1.00 carded or combed Spinning 0.95 Cotton, carded or 0.99 combed (yarn) Knitting/ weaving 0.95 0.05 0.99 0.10 Grey fabric Yarn waste Wet processing 1.00 1.00 Fabric Legend Finishing 0 .35 Product fraction 1.00 1.00 0 .82 Value fraction Final textile Hoekstra,  2009  
  • 8. Crop  Water  Use  Varies   In  Both  Space  and  Time   Virtual  Water  Content  [-­‐]             Hanasaki,  2010   H08  Global  Hydrologic   Model     ½₀  x  ½₀  SpaKal  ResoluKon    
  • 9. Water,  Food,  and  Trade   The   water   embodied   in   the   internaKonal   food   trade   is   referred  to  as  “virtual  water  trade”.       Virtual   water   trade   is   driven   by   underlying   economic   system  and  climaKc  factors.  
  • 10. Water,  Food,  and  Trade   The   water   embodied   in   the   internaKonal   food   trade   is   referred  to  as  “virtual  water  trade”.       Virtual   water   trade   is   driven   by   underlying   economic   system  and  climaKc  factors.     This  complex  system  can  be  represented  as  a  network.   NODES:   Countries   parKcipaKng   in  internaKonal  food  trade.     LINKS:   Weighted   by   water       volumes,  directed  by  trade.    
  • 11. What  is  a  network?   …Quick  Intro  
  • 12. Unweighted  &  Undirected   Weighted  &  Undirected   Node   Link   Unweighted  &  Directed        Weighted  &  Directed   4   4   1   1   8   2   2   6   3  
  • 13. Network  ProperKes   Undirected Directed Degree k out = 0 k in = 1 k =2 Strength 4 1 s out = 3 2 s in = 10 6 s =7
  • 14. Network  ProperKes   Unweighted Weighted Nearest Neighbor Clustering
  • 15. Virtual  Water  Trade  Network  
  • 16. Regional  Networks        Crops  and  Livestock                          Crops                                                Livestock                                                               All   Water             Green   Water                                                         Blue     Water                                    
  • 17. Regional  Networks        Crops  and  Livestock                          Crops                                                Livestock                                                               All   Water             Green   Water                                                         Blue     Water                                    
  • 18. Regional  Networks        Crops  and  Livestock                          Crops                                                Livestock                                                               All   Water           EnKre  network  is       Green   driven  by  the  trade     Water   of  rain-­‐fed  crops                                                         Blue     Water                                    
  • 19. Network  ProperKes   Node  Degree                             k out = 0 k in = 1 ExponenKal  export  degree   distribuKon   Node  Strength                       Data   4 1 Fit   s out = 3 2 s in = 10 6 Stretched-­‐exponenKal   strength  distribuKon  
  • 20. Power  Law  RelaKonship   Volume  of  virtual  water  traded  vs.  number  of  trade   partners  follows  a  power  law  relaKonship   Data   Fit   This  relaKonship  is  parKcularly  strong  for  food  import,   indicaKng  that  the  more  import  trade  partners  a  country   has,  the  much  more  virtual  water  it  imports.  
  • 21. Evidence  of  Rich  Club   Nearest-­‐Neighbor  Degree          Clustering  Coefficient     Unweighted   Unweighted   Weighted   Weighted   Weights  break  down  disassortaKve  structure  
  • 22. Network  Dynamics  Over  Time   1986   2007   %  Change  from  1986   Green  Water   Blue  Water   Volume  of  virtual  water  embodied  in  trade   has  more  than  doubled  from  1986-­‐2007,   parKcularly  for  green  water.   Dalin  et  al,  2012;  Konar  et  al,  In  Review  
  • 23. Global  Water  Savings  from  Trade   Savings  =  238  km3  yr-­‐1   Equivalent  to  9%  of  global     agricultural  water  use   Dalin  et  al,  2012  
  • 24. Blue  and  Green  Networks  Save  Water   .   Pos.    Links  [%]   .   Blue  Water   Green  Water   Global  Water  Savings  [m3]      <VWC  Gap>   Crop  Trade  [%]   What  is  driving  this  increased  water  saving  over  Kme?  
  • 25. IntensificaKon  of  Trade  on     Water-­‐Efficient  Links   .   .   Blue  Water   Green  Water  
  • 26.   Thank  You       QuesKons?