WRITTEN EVIDENCE: ANNEX A - DEMAND FORECAST

 

NATIONAL ASSEMBLY OF WALES ENTERPRISE AND LEARNING COMMITTEE

EVIDENCE IN SUPPORT OF CSAG PETITION

ANNEX A: CARNO STATION DEMAND FORECAST

1. Introduction

This document is an estimation of passenger usage of the new station with reference to existing usage of Caersws (6 miles to the East) by means of a comparison of weighted catchment populations and an estimate of passenger abstraction from Caersws. These figures will be used to estimate the net additional revenue of the two stations resulting from Carno re-opening.

 

 

2. Weighted catchment populations

The propensity of people to make train journeys from a station clearly decreases with increasing distance of their homes from the station. Work at the Institute of Transport Studies indicates that the "access time elasticity" is about -0.6, so that a 10% increase in access time results in a 6% reduction in the number of rail journeys per head of population. Assuming the propensity to use the station is constant for access times of less than 5 minutes, then we can define a "population weighting factor" as the number of journeys made per head of population for an access time in excess of 5 minutes divided by the number of journeys made per head of population where the access time is less than 5 minutes.

 

 

If passengers living more than five minutes walk away from the station drive to the station at a mean speed of 40 mph and take 3 minutes to park their cars, then the resulting variation of population weighting factor with distance from the station can be easily calculated. 

 

 

 

Population weighting factors as described above have been applied to the populations of the villages surrounding Caersws for which Caersws is currently the nearest station, or the station of choice for journeys to the East (the predominant direction of outward journeys), in order to estimate the "weighted Caersws catchment population". This is defined as the notional population living at Caersws itself that would generate the same number of journeys as the actual population spread over the whole catchment area. Based on the 2001 ward population figures for Caersws, Llanidloes, Llanidloes without, Llangurig, Trefeglwys, Carno, Llanbrynmair and Glantwymyn,  the weighted Caersws catchment population comes to 6158 - much larger than the population of Caersws itself (1526). Note that in the case of Carno itself, the estimated 2007 ward population of 766 is used instead of the 2001 figure of 646 because at least 52 new houses have been built since 2001 (household size taken as 2.32 - the Powys average).

 

After the opening of Carno station, it is assumed that the populations of Llanbrynmair and Glantwymyn to the West of Carno and Cefn Coch to the North would fall into the Carno catchment. Applying new population weighting factors to the populations of these villages and a unity factor to the population of Carno results in a weighted Carno catchment population of 2165.

 

With the removal of the populations of Carno, Llanbrynmair and Glantwymyn from the Caersws catchment, its weighted catchment population reduces to 4903. Hence the new total weighted catchment population for Caersws and Carno is (4903 + 2165) = 7068 - ie 910 greater than the current Caersws figure of 6158.

 

The derivations of the weighted catchment populations is set out in Table 1 below.

 

TABLE 1:  WEIGHTED CATCHMENT POPULATIONS

 

 

 

 

 

 

 

 

 

 

 

Carno Population 2001

646

 

No of new houses

52

 

 

Increase since 2001

120

 

Household size

2.32

 

 

Carno Population 2007

766

 

 

 

 

 

 

 

 

 

 

Access time = Drive time + Parking time

 

Access time elasticity

-0.6

 

Mean driving speed, V

40

mph

 

 

 

 

 

 

 

 

 

 

Mean time to drive to station in same village

2

min

Parking time

3

min

Time to drive to station from other settlements, Td = x(60/V)

 

 

 

 

 

 

 

 

 

 

 

 

1. Caersws Catchment Weighted by distance decay factors

 

 

 

 

 

 

 

 

 

 

 

 

Ward

 

Distance

Population

Drive time

Access

Access time

Weighted

 

 

 

 

 

 

time, Ta

weighting

population

 

 

 

x

 

Td

Td + Tp

wrt Caersws

 

 

Caersws

 

0

1526

2

5

1

1526

 

Llandinam

 

3

942

4.5

7.5

0.78405268

738

 

Trefeglwys

 

4

868

6

9

0.70280768

610

 

Carno

 

6

750

9

12

0.59138902

443

 

Llanidloes

 

8

2807

12

15

0.51728186

1452

 

Llanidloes without

8

593

12

15

0.51728186

306

 

Llangurig

 

13

670

19.5

22.5

0.40557623

271

 

Llanbrynmair

11

958

16.5

19.5

0.44193789

423

 

Glantwymyn

17

1106

25.5

28.5

0.35194523

389

 

 

 

 

Caersws catchment weighted population

6158

 

 

 

 

 

 

 

 

 

 

2. Carno Catchment Weighted by distance decay factors

 

 

 

 

 

 

 

 

 

 

 

 

Ward

 

Distance

Population

Drive time

Access

Access time

Weighted

 

 

 

 

 

 

time, Ta

weighting

population

 

 

 

 

 

Td

Td + Tp

wrt Carno

 

 

Carno

 

0

766

2

5

1

766

 

Llanbrynmair

5

942

7.5

10.5

0.64072021

603

 

Glantwymyn

11

868

16.5

19.5

0.44193789

383

 

Cefn Coch

 

7

750

10.5

13.5

0.55103824

413

 

 

 

 

Carno catchment weighted population

2165

 

Carno/Caersws existg

0.351575

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3. Caersws Catchment after Carno re-opening Weighted by distance decay factors

 

 

 

 

 

 

 

 

 

 

Ward

 

Distance

Population

Drive time

Access

Access time

Weighted

 

 

 

 

 

 

time, Ta

weighting

population

 

 

 

 

 

Td

Td + Tp

wrt Caersws

 

 

Caersws

 

0

1526

2

5

1

1526

 

Llandinam

 

3

942

4.5

7.5

0.78405268

738

 

Trefeglwys

 

4

868

6

9

0.70280768

610

 

Llanidloes

 

8

2807

12

15

0.51728186

1452

 

Llanidloes without

8

593

12

15

0.51728186

306

 

Llangurig

 

13

670

19.5

22.5

0.40557623

271

 

 

 

 

Caersws catchment weighted population

4903

 

 

 

 

 

 

 

 

 

 

 

New Caersws + Carno weighted population

 

7068

 

 

Increase in weighted populaton catchment after Carno re-opening

910

 

3. Carno station passenger forecast

The annual usage of Caersws station for 2005-6 in terms of the number of single journeys made, was 28257 passengers (Source: Station Usage 2005-6, Office of Rail Regulation). The passenger growth rate at Caersws, Newtown and Machynlleth over the last 3 years has been 6.2%, 4.0% and 4.2%. If passenger growth continues at the conservative value of 4.0%, the annual usage at Caersws in 2008-9 would be 31785 passengers.

 

If Carno station were to open in the mean time, the annual usage of Carno may be estimated by multiplying the latter figure by the ratio of weighted catchment populations giving 31785(2165/6158) = 11175 passengers.

 

4. Caersws passenger forecast following Carno re-opening

 

After the opening of Carno the Caersws weighted catchment population drops to 4903, so the Caersws annual usage drops to 31785(4903/6158) = 25307 -  a reduction of 6478 passengers. Hence 11175 - 6478 = 4697 new single journeys are generated.

 

                                                                                                            A.L.Burton       21.8.07