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Populations and 
sustainability :- 
Fisheries 
Daniel Sandars 
(10-12-2014)
2010=US$ 91.2 billion 
http://www.un.org/depts/los/convention_agreements/reviewconf/FishStocks_EN_A.pdf 
http://www.statista.com/chart/2280/the-global-fish-farming-industry-is-booming/
EU Fishing Effort 1950 
http://wwf.panda.org/?203247/Wild-west-fishing-in-distant-waters
EU Fishing effort Now 
http://wwf.panda.org/?203247/Wild-west-fishing-in-distant-waters
Conflicts 
http://en.wikipedia.org/wiki/Cod_Wars 
http://moneyweek.com/1-september-1958-the-first-cod-war-begins/
Global fish stocks
The ‘tragedy of the 
commons’ 
http://www.fao.org/docrep/003/T0509E/T0509E01.gif
Play the fisheries game 
http://es.earthednet.org/fishing-game
Fisheries Management 
Biological conservation 
Fish stocks & Natural 
habitats 
Fishing 
Employment, viable 
remote communities, 
foreign exchange, 
economic efficiency, & 
social equity
Sustainability 
http://en.seafood.no/Sustainability/Norway's-commitment
Biological Conservation 
http://www.burg.org.au/photos_http://www.fishex.com/seafood/salmon/salmon-life-cycles.html fish_survey2.html 
Population 
Dynamics 
Stock 
Assessment 
Environment 
Stock 
Interactions 
http://deborahmph720.blogspot.co.uk/2010/06/mercury-occurence-and-movement-in.html 
http://worldoceanreview.com/en/wor-2/ecosystems-and-species/fish-habitats/
Socio 
economics – 
markets, 
labour, & 
incomes 
Fishing – 
access, rights 
& enforcement 
Fishing - effort, 
technology, structure, 
& investment 
Exploitation 
management 
http://www.constantinealexander.net/itqscatch-shares/page/2/ 
http://www.newlynfishfestival.org.uk/ 
http://worldfishingtoday.com/news/default.asp?nyId=7310
Management 
system 
Management 
Economic 
Direct 
Days at sea, number of 
vessels, fishing times, 
holding capacity, engine 
size 
Indirect 
Taxes on fuel or sales of 
fish 
Fishing rights – licences, 
sole ownership, individual 
quota, community quota, 
territorial rights 
Monitoring Judicial system 
Biological 
Net sizes, quotas, area 
closures, nursery area 
protection 
Fisheries management
Scientific approach 
to fisheries 
management 
http://www.theorsociety.com/Pages/Feature/Feature201309Johari.aspx
Operational Research 
methods 
•Descriptive 
Mathematical 
Modelling 
•Qualitative 
information on 
complex 
variable 
systems 
•Anticipate stock 
behaviour in 
response to 
environment, 
fishing, 
regulation 
•Computer 
Simulation 
•What-if of 
management 
choices 
•Qualitative 
evaluation of 
management 
strategies 
•Information on 
the dynamic 
behaviour of 
complex 
systems 
•Mathematical 
Programming 
•The optimal 
solution/ 
management 
decisions 
•Most profitable 
fishing effort 
and investment 
•Least cost 
regulation and 
monitoring 
•Decision 
Theory 
•Evolving 
decisions given 
evolving 
information 
(catch data) 
availability 
•Fisheries 
management 
decisions 
•Fishing 
management 
decision 
•Statistical 
Estimation 
•The impact of 
uncertainty/ 
stochasticity 
•Statistical 
analysis of 
other 
modelling 
approaches 
•Design of 
exploitation 
and monitoring 
efforts
Operational Research 
methods 
Descriptive 
mathematical 
modelling 
Population 
dynamics 
Stock 
exploitation 
Stock 
interactions 
Stock 
allocation 
Socio-economic 
issues 
Computer 
simulation 
Population 
dynamics 
Stock 
assessment 
Stock 
exploitation 
Stock 
interactions 
Environmental 
dependencies 
Stock 
allocation 
Socio-economic 
issues 
Optimizing 
mathematical 
programming 
Population 
dynamics 
Stock 
assessment 
Stock 
exploitation 
Environmental 
dependencies 
Decision theory 
Population 
dynamics 
Stock 
exploitation 
Statistical 
estimation 
Stock 
assessment 
Stock 
exploitation
Fish Population 
Dynamics 
http://www.qub.ac.uk/research-centres/ 
WelcometoSustainableDevelopmentatQueens/RelatedResearch/EcosystemApproachtoF 
isheriesManagement/
Population dynamics 
Learn about the behaviour and sensitivity 
of the fishery 
• Given key assumptions and 
parameter estimates 
• Do equilibrium conditions develop? 
• What are the nature of any dynamic 
fluctuations? 
• Is the population stable? 
• Does it exhibit statistical stationarity? 
• How robust and complete is the 
model? Are results repeatable?
Model typology 
Population 
dynamics 
Lumped 
parameters 
Discrete time Ricker 1975 
Continuous 
time 
Schafer model 
(Schafer 1957) 
Dynamic pools 
(age cohorts) 
Beverton and 
Holt 1957 
• Beverton RJH and Holt SJ 1957 On the dynamics of exploited fish populations. Fisheries 
Investigations Series II, vol. 19. Ministry of Agriculture, Fisheries and Food, Her Majesty's 
Stationary Office, London, UK, 533pp 
• Ricker WE 1975 Computation and interpretation of biological statistics of fish populations. 
Bulletin Fisheries Research Board Canada 191, 382pp 
• Schaefer MB (1957) "Some considerations of population dynamics and economics in 
relation to the management of marine fishes" Journal of the Fisheries Research Board of 
Canada, 14: 669–81.
BIDE Model 
• N1 = N0 + B − D + I − E 
• N=Number in population in time period 1 or 0 
• B=Births 
• D=Deaths 
• I=Immigrants 
• E=Emmigrants 
Caswell, H. 2001. Matrix population models: Construction, analysis and interpretation, 2nd Edition. 
Sinauer Associates, Sunderland, Massachusetts. ISBN 0-87893-096-5.
Carrying capacity 
• Ricker model –density dependence 
• N= population size at time t 
• r0 = intrinsic growth rate (births and immigration)- 
(deaths + emigration) 
• K = carrying capacity 
http://sites.duke.edu/ecologytools/populationdynamics/scenario-1/
Harvest Control Rule
Population data –data 
poor environments 
• Birth rate or recruitment to catchable size 
• + Growth rate – size and length 
• - Death rate –harvested or natural (predation, age, 
disease) 
• Commercial catches give regular data on the 
catchable fraction – Survey ships give less data on all 
age groups 
• NB Over-simplistic modelling of fisheries has resulted 
in the collapse of key stocks
Concluding remarks 
• Wild fisheries suffer from the tragedy of the commons 
• Global competitive markets are emerging 
• Strong fishing drivers for increased productivity with 
lower investment and operating costs 
• Increasing awareness of complex environmental 
issues 
• Better sustainable fisheries management practice 
are needed 
• The significant role of OR models seems 
unquestionable
http://blogs.edf.org/edfish/2014/07/28/investing-in-the-transition-to-thriving-eu-waters-a-visionary-new-framework/
References 
• Lane, D.E. Operational research and fisheries 
management (1989) European Journal of Operational 
Research, 42 (3), pp. 229-242. Cited 6 times. 
• Bjørndal, T., Lane, D.E., Weintraub, A. Operational 
research models and the management of fisheries and 
aquaculture: A review (2004) European Journal of 
Operational Research, 156 (3), pp. 533-540. Cited 26 
times. 
• Arnason, R. Fisheries management and operations 
research (2009) European Journal of Operational 
Research, 193 (3), pp. 741-751. Cited 11 times.

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Populations and sustainability :- Fisheries

  • 1. Populations and sustainability :- Fisheries Daniel Sandars (10-12-2014)
  • 2. 2010=US$ 91.2 billion http://www.un.org/depts/los/convention_agreements/reviewconf/FishStocks_EN_A.pdf http://www.statista.com/chart/2280/the-global-fish-farming-industry-is-booming/
  • 3. EU Fishing Effort 1950 http://wwf.panda.org/?203247/Wild-west-fishing-in-distant-waters
  • 4. EU Fishing effort Now http://wwf.panda.org/?203247/Wild-west-fishing-in-distant-waters
  • 7. The ‘tragedy of the commons’ http://www.fao.org/docrep/003/T0509E/T0509E01.gif
  • 8. Play the fisheries game http://es.earthednet.org/fishing-game
  • 9. Fisheries Management Biological conservation Fish stocks & Natural habitats Fishing Employment, viable remote communities, foreign exchange, economic efficiency, & social equity
  • 11. Biological Conservation http://www.burg.org.au/photos_http://www.fishex.com/seafood/salmon/salmon-life-cycles.html fish_survey2.html Population Dynamics Stock Assessment Environment Stock Interactions http://deborahmph720.blogspot.co.uk/2010/06/mercury-occurence-and-movement-in.html http://worldoceanreview.com/en/wor-2/ecosystems-and-species/fish-habitats/
  • 12. Socio economics – markets, labour, & incomes Fishing – access, rights & enforcement Fishing - effort, technology, structure, & investment Exploitation management http://www.constantinealexander.net/itqscatch-shares/page/2/ http://www.newlynfishfestival.org.uk/ http://worldfishingtoday.com/news/default.asp?nyId=7310
  • 13. Management system Management Economic Direct Days at sea, number of vessels, fishing times, holding capacity, engine size Indirect Taxes on fuel or sales of fish Fishing rights – licences, sole ownership, individual quota, community quota, territorial rights Monitoring Judicial system Biological Net sizes, quotas, area closures, nursery area protection Fisheries management
  • 14. Scientific approach to fisheries management http://www.theorsociety.com/Pages/Feature/Feature201309Johari.aspx
  • 15. Operational Research methods •Descriptive Mathematical Modelling •Qualitative information on complex variable systems •Anticipate stock behaviour in response to environment, fishing, regulation •Computer Simulation •What-if of management choices •Qualitative evaluation of management strategies •Information on the dynamic behaviour of complex systems •Mathematical Programming •The optimal solution/ management decisions •Most profitable fishing effort and investment •Least cost regulation and monitoring •Decision Theory •Evolving decisions given evolving information (catch data) availability •Fisheries management decisions •Fishing management decision •Statistical Estimation •The impact of uncertainty/ stochasticity •Statistical analysis of other modelling approaches •Design of exploitation and monitoring efforts
  • 16. Operational Research methods Descriptive mathematical modelling Population dynamics Stock exploitation Stock interactions Stock allocation Socio-economic issues Computer simulation Population dynamics Stock assessment Stock exploitation Stock interactions Environmental dependencies Stock allocation Socio-economic issues Optimizing mathematical programming Population dynamics Stock assessment Stock exploitation Environmental dependencies Decision theory Population dynamics Stock exploitation Statistical estimation Stock assessment Stock exploitation
  • 17. Fish Population Dynamics http://www.qub.ac.uk/research-centres/ WelcometoSustainableDevelopmentatQueens/RelatedResearch/EcosystemApproachtoF isheriesManagement/
  • 18. Population dynamics Learn about the behaviour and sensitivity of the fishery • Given key assumptions and parameter estimates • Do equilibrium conditions develop? • What are the nature of any dynamic fluctuations? • Is the population stable? • Does it exhibit statistical stationarity? • How robust and complete is the model? Are results repeatable?
  • 19. Model typology Population dynamics Lumped parameters Discrete time Ricker 1975 Continuous time Schafer model (Schafer 1957) Dynamic pools (age cohorts) Beverton and Holt 1957 • Beverton RJH and Holt SJ 1957 On the dynamics of exploited fish populations. Fisheries Investigations Series II, vol. 19. Ministry of Agriculture, Fisheries and Food, Her Majesty's Stationary Office, London, UK, 533pp • Ricker WE 1975 Computation and interpretation of biological statistics of fish populations. Bulletin Fisheries Research Board Canada 191, 382pp • Schaefer MB (1957) "Some considerations of population dynamics and economics in relation to the management of marine fishes" Journal of the Fisheries Research Board of Canada, 14: 669–81.
  • 20. BIDE Model • N1 = N0 + B − D + I − E • N=Number in population in time period 1 or 0 • B=Births • D=Deaths • I=Immigrants • E=Emmigrants Caswell, H. 2001. Matrix population models: Construction, analysis and interpretation, 2nd Edition. Sinauer Associates, Sunderland, Massachusetts. ISBN 0-87893-096-5.
  • 21. Carrying capacity • Ricker model –density dependence • N= population size at time t • r0 = intrinsic growth rate (births and immigration)- (deaths + emigration) • K = carrying capacity http://sites.duke.edu/ecologytools/populationdynamics/scenario-1/
  • 22.
  • 24. Population data –data poor environments • Birth rate or recruitment to catchable size • + Growth rate – size and length • - Death rate –harvested or natural (predation, age, disease) • Commercial catches give regular data on the catchable fraction – Survey ships give less data on all age groups • NB Over-simplistic modelling of fisheries has resulted in the collapse of key stocks
  • 25. Concluding remarks • Wild fisheries suffer from the tragedy of the commons • Global competitive markets are emerging • Strong fishing drivers for increased productivity with lower investment and operating costs • Increasing awareness of complex environmental issues • Better sustainable fisheries management practice are needed • The significant role of OR models seems unquestionable
  • 27. References • Lane, D.E. Operational research and fisheries management (1989) European Journal of Operational Research, 42 (3), pp. 229-242. Cited 6 times. • Bjørndal, T., Lane, D.E., Weintraub, A. Operational research models and the management of fisheries and aquaculture: A review (2004) European Journal of Operational Research, 156 (3), pp. 533-540. Cited 26 times. • Arnason, R. Fisheries management and operations research (2009) European Journal of Operational Research, 193 (3), pp. 741-751. Cited 11 times.