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It’s a dog life: modelling the UK 
dog population 
Alessandro Arbib
Overview of this presentation 
• Background 
• Objectives & Scope 
• Summary of work 
• Evidence gaps 
• Outcomes 
• Working with the Third Sector 
2 Modelling the UK dog population
Background
Background 
4`` Modelling the UK dog population 
The RSPCA is the UK’s leading animal 
welfare charity. 
Dog-ED is a Social Enterprise applying 
Systems Thinking to canine welfare. 
3 Operational Research and 1 engineer 
from DECC
Objectives and aims 
Alessandro Arbib
Objective & Aims 
To answer the following question: 
• A consensus view of how many dogs 
there are “in the system” and how they 
move between different parts of the 
system 
• How many dogs are relinquished and 
why? Which type of dog? 
• Can we forecast the likely impact of 
different interventions ? 
6 Modelling the UK dog population
Scope of the work 
• Review the available data 
• Design and build a model 
• Develop recommendations for 
possible uses and future 
development of the model 
7 Modelling the UK dog population
Summary of work 
Presentation title - edit in Header and Footer
Literature Review 
Literature Review of 
relevant papers and reports 
• ~50 different sources 
• ~100 data points and 
times series 
• Assessment of data 
quality 
9 Modelling the UK dog population
Snapshot of dog population 
Aim: Consensus view of dogs that 
are in the system 
• No consensus between 
sources possible 
• Multiple discrepancies 
• Validity of some sources should 
be questioned 
10 Modelling the UK dog population
Presentation title - edit in Header and Footer
The Model 
Demand for dogs - 
13 Modelling the UK dog population 
69.5% of welfare 
inflows (27, scaled) 
Stray dogs 
0.5% of welfare in 
flows (27, scaled) 
Dogs in welfare 
greyhounds - 3,910 
per year (33) 
Owned dogs 
Owned births 
Owned 
deaths 
Rehomed - 80.9% 
of outflows (27) 
Welfare dogs reunited with 
owner - 12.5% of those 
entering = 16,218 (1). 7.7% 
Stray births 
Entering welfare: 
129,743 per year (1) 
of those entering (27) 
Welfare capacity 
Stray deaths 
Welfare 
births 
Welfare deaths 
Owned dogs to welfare 
Welfare dogs to owned 
Owned dogs to stray 
Stray dogs to owned 
Stray dogs to welfare 
Imported owned dogs 
11.4% of outflow died (27) 
LB 7142 euthanised (1) 
Dogs imported to 
welfare 
Owned dog 
exports 
Number of dogs 
microchipped 
Owner education 
level re dogs 
Welfare life expectancy 
Owned dog life 
expectancy 
Stray dog life 
expectancy 
Space available in 
welfare 
Euthanasia policy 
Emmigration 
Number of dog 
breeders 
Number of puppy 
farms 
Funding for welfare 
Demand for 
dogs in UK 
Number of 
owned dogs 
having puppies 
non-UK 
Disposable income 
Insurance rates 
Number of 
dogs lost 
Number of 
dogs 
abandoned 
Number of dogs 
neutered 
9.4m (23) 
2009 LB: 12,340 
2010 LB:10,630 
est 1,250 (300 
to 2130) 
111,000 per 
year (13) 
Strays back to owner - 
53,280 per year (13) 
Rehomed - 9,990 
per year (13) 
Put to sleep/die 8,880 
per year (13) 
Working dogs 
27,750 per year (13) 
Assume 0 
30% of welfare inflows (27, 
scaled) - this includes LA and 
public straying dogs 
11.4% of dogs per 
year? (36) 
25% of dogs per 
year? (est from 
24, 41) 
12 years (34) 
4% of microchipped are from Ireland, 
3% from other EU, 2% from outside 
EU - needs scaling up by 2% (24) 
50,000 dogs imported 
from Ireland per year (31) 
Working dogs 
to owned 
Working 
dog births 
Working 
dog deaths 
Working dog life 
expectancy 
Requirements for 
working dogs 
Working dogs to 
welfare 
At least 2500 
police dogs 
(45)
The Model 
• Stocks: Owned, In rescue, Stray 
and Working 
• Flows: birth and death rates, import 
and export rates, flows within the 
system 
• Time step: weekly update 
• Possibility to adjust flow rates (as 
effect of policy intervention) 
14 Modelling the UK dog population 
Owned 
In Rescue 
Working 
Stray
Evidence Gaps 
Presentation title - edit in Header and Footer
Missing Stocks & Flows 
Stocks 
Dogs in Welfare 
• Lower bound only 
Working dogs 
• We can only get data on police 
dogs (from Wikipedia) 
Flows 
Numbers of dogs being imported into the 
UK 
• Poor quality data from Defra 
• Births of non-KC dogs: these are 
not registered 
And more…. 
16 Modelling the UK dog population
Data Quality 
Difficult to get a breakdown of data by 
dog breed/category/time series 
Granularity 
• Little information about breed-rates 
of non-KC dogs (pure-breed, 
X-breed or mongrels) 
• Lack of time series data 
Inconsistency 
• Significant variation in “top-down” 
estimates of total population 
– 8.5-11+ million 
– Significant uncertainty 
17 Modelling the UK dog population
Predicting the future dog population 
Dog movements within the system 
• Influenced by economic and 
societal influences 
• These are very difficult to predict 
Stock evolution 
• Starting point for future calculation 
not known (e.g. 2014 dog pop.) 
• Uncertainties are proportionally 
very high 
18 Modelling the UK dog population
Outcomes 
Presentation title - edit in Header and Footer
Significant outputs from our work 
• Significant review of data sources, 
with all data summarised in one 
location 
• Large number of evidence gaps 
identified 
• Snapshot of dog population 
• System map with stocks & flows 
• Creation of Excel model to be 
populated as/when data comes 
available 
20 Modelling the UK dog population
What is next? 
Await introduction of compulsory 
microchipping in 2016 
• This will provide a significant boost 
to the available data 
• Breakdown of the total dog 
population into sub-categories will 
be much easier to obtain 
• Trends will be more identifiable, 
and easier to track 
Consider ways in which evidence 
gaps can be addressed: 
• Surveys of owners and breeders 
• Commission some academic work 
• Work with the Kennel Club and 
PetLog 
• Approach the Pet Food 
Manufacturers society 
21 Modelling the UK dog population
Working for the Third Sector 
Presentation title - edit in Header and Footer
What went well 
• Application of OR techniques to 
Pro Bono projects 
• Enhanced knowledge of interesting 
areas 
• Professional development 
• Team spirit 
• Excellent day at Battersea Dogs & 
Cats Home 
• Relationship with client 
23 Modelling the UK dog population
What could have gone better 
• Underestimate of project length 
• Loss of momentum of project 
over last couple of months – the 
10% of tidying up time has 
been drawn out. 
• Disappointing that the ambition 
of original ‘ideal’ of building and 
using a model could not be 
realised due to lack of quality 
data. 
24 Modelling the UK dog population
Questions? 
Presentation title - edit in Header and Footer

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It's a dog's life: modelling the UK dog population

  • 1. It’s a dog life: modelling the UK dog population Alessandro Arbib
  • 2. Overview of this presentation • Background • Objectives & Scope • Summary of work • Evidence gaps • Outcomes • Working with the Third Sector 2 Modelling the UK dog population
  • 4. Background 4`` Modelling the UK dog population The RSPCA is the UK’s leading animal welfare charity. Dog-ED is a Social Enterprise applying Systems Thinking to canine welfare. 3 Operational Research and 1 engineer from DECC
  • 5. Objectives and aims Alessandro Arbib
  • 6. Objective & Aims To answer the following question: • A consensus view of how many dogs there are “in the system” and how they move between different parts of the system • How many dogs are relinquished and why? Which type of dog? • Can we forecast the likely impact of different interventions ? 6 Modelling the UK dog population
  • 7. Scope of the work • Review the available data • Design and build a model • Develop recommendations for possible uses and future development of the model 7 Modelling the UK dog population
  • 8. Summary of work Presentation title - edit in Header and Footer
  • 9. Literature Review Literature Review of relevant papers and reports • ~50 different sources • ~100 data points and times series • Assessment of data quality 9 Modelling the UK dog population
  • 10. Snapshot of dog population Aim: Consensus view of dogs that are in the system • No consensus between sources possible • Multiple discrepancies • Validity of some sources should be questioned 10 Modelling the UK dog population
  • 11. Presentation title - edit in Header and Footer
  • 12.
  • 13. The Model Demand for dogs - 13 Modelling the UK dog population 69.5% of welfare inflows (27, scaled) Stray dogs 0.5% of welfare in flows (27, scaled) Dogs in welfare greyhounds - 3,910 per year (33) Owned dogs Owned births Owned deaths Rehomed - 80.9% of outflows (27) Welfare dogs reunited with owner - 12.5% of those entering = 16,218 (1). 7.7% Stray births Entering welfare: 129,743 per year (1) of those entering (27) Welfare capacity Stray deaths Welfare births Welfare deaths Owned dogs to welfare Welfare dogs to owned Owned dogs to stray Stray dogs to owned Stray dogs to welfare Imported owned dogs 11.4% of outflow died (27) LB 7142 euthanised (1) Dogs imported to welfare Owned dog exports Number of dogs microchipped Owner education level re dogs Welfare life expectancy Owned dog life expectancy Stray dog life expectancy Space available in welfare Euthanasia policy Emmigration Number of dog breeders Number of puppy farms Funding for welfare Demand for dogs in UK Number of owned dogs having puppies non-UK Disposable income Insurance rates Number of dogs lost Number of dogs abandoned Number of dogs neutered 9.4m (23) 2009 LB: 12,340 2010 LB:10,630 est 1,250 (300 to 2130) 111,000 per year (13) Strays back to owner - 53,280 per year (13) Rehomed - 9,990 per year (13) Put to sleep/die 8,880 per year (13) Working dogs 27,750 per year (13) Assume 0 30% of welfare inflows (27, scaled) - this includes LA and public straying dogs 11.4% of dogs per year? (36) 25% of dogs per year? (est from 24, 41) 12 years (34) 4% of microchipped are from Ireland, 3% from other EU, 2% from outside EU - needs scaling up by 2% (24) 50,000 dogs imported from Ireland per year (31) Working dogs to owned Working dog births Working dog deaths Working dog life expectancy Requirements for working dogs Working dogs to welfare At least 2500 police dogs (45)
  • 14. The Model • Stocks: Owned, In rescue, Stray and Working • Flows: birth and death rates, import and export rates, flows within the system • Time step: weekly update • Possibility to adjust flow rates (as effect of policy intervention) 14 Modelling the UK dog population Owned In Rescue Working Stray
  • 15. Evidence Gaps Presentation title - edit in Header and Footer
  • 16. Missing Stocks & Flows Stocks Dogs in Welfare • Lower bound only Working dogs • We can only get data on police dogs (from Wikipedia) Flows Numbers of dogs being imported into the UK • Poor quality data from Defra • Births of non-KC dogs: these are not registered And more…. 16 Modelling the UK dog population
  • 17. Data Quality Difficult to get a breakdown of data by dog breed/category/time series Granularity • Little information about breed-rates of non-KC dogs (pure-breed, X-breed or mongrels) • Lack of time series data Inconsistency • Significant variation in “top-down” estimates of total population – 8.5-11+ million – Significant uncertainty 17 Modelling the UK dog population
  • 18. Predicting the future dog population Dog movements within the system • Influenced by economic and societal influences • These are very difficult to predict Stock evolution • Starting point for future calculation not known (e.g. 2014 dog pop.) • Uncertainties are proportionally very high 18 Modelling the UK dog population
  • 19. Outcomes Presentation title - edit in Header and Footer
  • 20. Significant outputs from our work • Significant review of data sources, with all data summarised in one location • Large number of evidence gaps identified • Snapshot of dog population • System map with stocks & flows • Creation of Excel model to be populated as/when data comes available 20 Modelling the UK dog population
  • 21. What is next? Await introduction of compulsory microchipping in 2016 • This will provide a significant boost to the available data • Breakdown of the total dog population into sub-categories will be much easier to obtain • Trends will be more identifiable, and easier to track Consider ways in which evidence gaps can be addressed: • Surveys of owners and breeders • Commission some academic work • Work with the Kennel Club and PetLog • Approach the Pet Food Manufacturers society 21 Modelling the UK dog population
  • 22. Working for the Third Sector Presentation title - edit in Header and Footer
  • 23. What went well • Application of OR techniques to Pro Bono projects • Enhanced knowledge of interesting areas • Professional development • Team spirit • Excellent day at Battersea Dogs & Cats Home • Relationship with client 23 Modelling the UK dog population
  • 24. What could have gone better • Underestimate of project length • Loss of momentum of project over last couple of months – the 10% of tidying up time has been drawn out. • Disappointing that the ambition of original ‘ideal’ of building and using a model could not be realised due to lack of quality data. 24 Modelling the UK dog population
  • 25. Questions? Presentation title - edit in Header and Footer

Editor's Notes

  1. The breeding, ownership and welfare of dogs in the UK is a complex social area. Although there has been research into the size of the dog population, nobody has pulled all this together into a single model that everyone can use to help focus priority issues. A consensus understanding of the population and how it is stratified is crucial to allow proposing meaningful welfare improvement policies. From November 2013 to May 2014 a group of 3 OR analysts and an engineer from DECC worked with the RSPCA (the UK’s leading animal welfare charity) and Dog-ED (a Social Enterprise applying Systems Thinking to canine welfare) to provide analytical evidences about the number of dogs currently present in UK and how they move through the system. The project involved a significant literature review to collect the data necessary to produce a snapshot of the UK dog population; designing and building a “stocks and flows” model to investigate the flows of dogs from the different categories; and developing recommendations for possible uses and future development of the model. Lack of consensus amongst the data sources, and considerable variation in data quality and definitions used made it difficult to provide accurate answers to the customer’s problem. We will describe our main outputs including estimated upper and lower bounds for the dog population, a “stocks and flows” model developed in Excel, and a list of the main data gaps and issues we met in our work. Last but not least, we will focus on the valuable experience of working for the Third Sector, summarising the main lessons learnt and the value that OR was able to add in this area.
  2. The breeding, ownership and welfare of dogs in the UK is a complex social area. Although there has been research into the size of the dog population, nobody has pulled all this together into a single model that everyone can use to help focus priority issues. A consensus understanding of the population and how it is stratified is crucial to allow proposing meaningful welfare improvement policies. From November 2013 to May 2014 a group of 3 OR analysts and an engineer from DECC worked with the RSPCA (the UK’s leading animal welfare charity) and Dog-ED (a Social Enterprise applying Systems Thinking to canine welfare) to provide analytical evidences about the number of dogs currently present in UK and how they move through the system. The project involved a significant literature review to collect the data necessary to produce a snapshot of the UK dog population; designing and building a “stocks and flows” model to investigate the flows of dogs from the different categories; and developing recommendations for possible uses and future development of the model. Lack of consensus amongst the data sources, and considerable variation in data quality and definitions used made it difficult to provide accurate answers to the customer’s problem. We will describe our main outputs including estimated upper and lower bounds for the dog population, a “stocks and flows” model developed in Excel, and a list of the main data gaps and issues we met in our work. Last but not least, we will focus on the valuable experience of working for the Third Sector, summarising the main lessons learnt and the value that OR was able to add in this area.
  3. The breeding, ownership and welfare of dogs in the UK is a complex social area. Although there has been research into the size of the dog population, nobody has pulled all this together into a single model that everyone can use to help focus priority issues. A consensus understanding of the population and how it is stratified is crucial to allow proposing meaningful welfare improvement policies. From November 2013 to May 2014 a group of 3 OR analysts and an engineer from DECC worked with the RSPCA (the UK’s leading animal welfare charity) and Dog-ED (a Social Enterprise applying Systems Thinking to canine welfare) to provide analytical evidences about the number of dogs currently present in UK and how they move through the system. The project involved a significant literature review to collect the data necessary to produce a snapshot of the UK dog population; designing and building a “stocks and flows” model to investigate the flows of dogs from the different categories; and developing recommendations for possible uses and future development of the model. Lack of consensus amongst the data sources, and considerable variation in data quality and definitions used made it difficult to provide accurate answers to the customer’s problem. We will describe our main outputs including estimated upper and lower bounds for the dog population, a “stocks and flows” model developed in Excel, and a list of the main data gaps and issues we met in our work. Last but not least, we will focus on the valuable experience of working for the Third Sector, summarising the main lessons learnt and the value that OR was able to add in this area.