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the economic valuation of the proposed ... - Nature Uganda

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PVB =<br />

PVC =<br />

Where:<br />

36<br />

∑ = t n<br />

t = 1<br />

∑ = t n<br />

t = 1<br />

Bt<br />

t<br />

( 1+<br />

i)<br />

Ct<br />

t<br />

( 1+<br />

i)<br />

n = number <strong>of</strong> years being considered; t = each<br />

individual year; and i = <strong>the</strong> discount rate expressed as a<br />

decimal fraction<br />

» The decision-making criteria; After <strong>the</strong><br />

NPV<br />

=<br />

discounting has been completed, <strong>the</strong> present<br />

value <strong>of</strong> <strong>the</strong> benefits (PVB) is compared to <strong>the</strong><br />

present value <strong>of</strong> all <strong>the</strong> costs (PVC). For a project<br />

to be considered pr<strong>of</strong>itable at a given discount<br />

rate, <strong>the</strong> present value <strong>of</strong> benefits should exceed<br />

that <strong>of</strong> costs i.e. PVB > PVC. The net present<br />

value (NPV). This is sometimes called “net<br />

present worth”, and it is obtained by subtracting<br />

<strong>the</strong> present value <strong>of</strong> costs from that <strong>of</strong> benefits<br />

i.e. NPV = PVB - PVC or, ma<strong>the</strong>matically:<br />

∑ = t n<br />

t = 1<br />

Bt<br />

− Ct<br />

t<br />

( 1+<br />

i)<br />

Where: t = individual years; n = number <strong>of</strong> years over<br />

which <strong>the</strong> project is evaluated; B = <strong>the</strong> sum <strong>of</strong> benefits<br />

in a given year; C = <strong>the</strong> sum <strong>of</strong> costs in a given year; and<br />

i = <strong>the</strong> discount rate expressed as a decimal.<br />

For a project to be acceptable, PVB > PVC i.e. <strong>the</strong> net<br />

present value should be positive. The net present value<br />

gives a good idea <strong>of</strong> <strong>the</strong> total pr<strong>of</strong>it, in present value<br />

terms, <strong>of</strong> <strong>the</strong> project. The NPV shown above is used<br />

to give a present value for a single ecosystem service.<br />

However, for all <strong>the</strong> different ecosystem services that<br />

are obtained from Mabira CFR, <strong>the</strong> Total Present Value is<br />

caculated. The Total Present Value is <strong>the</strong> sum <strong>of</strong> <strong>the</strong> net<br />

present values <strong>of</strong> all <strong>the</strong> ecosystem services i.e.<br />

TPV =<br />

Where:<br />

m<br />

∑ NPVs<br />

s=<br />

1<br />

TPV = Total Present Value; NPV= Net Present Value; and<br />

s (1-m) = all ecosystem services from 1 to m<br />

Note: Simple calculus shows that TPV is equivalent to <strong>the</strong><br />

quotient <strong>of</strong> <strong>the</strong> NPV divided by <strong>the</strong> discount rate (i)<br />

TPV = NPV<br />

i<br />

The approach is a good measure <strong>of</strong> <strong>the</strong> opportunity cost<br />

(or forest benefits foregone) as a result <strong>of</strong> alternative<br />

development initiatives in Mabira CFR.<br />

2. For Mabira CFR, <strong>the</strong> volume <strong>of</strong> <strong>the</strong> standing<br />

timber is <strong>the</strong> capital stock from which benefits<br />

are derived, and not <strong>the</strong> stream <strong>of</strong> benefits<br />

<strong>the</strong>mselves.<br />

3. In calculating <strong>the</strong> streams <strong>of</strong> benefits arising<br />

from timber, poles and firewood, stumpage<br />

values and not market prices were used.<br />

4. The basis for calculating <strong>the</strong> value <strong>of</strong> forests for<br />

ecotourism is <strong>the</strong> consumer surplus, representing<br />

<strong>the</strong> price tourists are willing-to-pay, up and<br />

above what <strong>the</strong>y actually pay for <strong>the</strong> ecotourism<br />

experience (Figure 6). Ecotourism is an important<br />

activity in Mabira CFR.<br />

The Economic Valuation <strong>of</strong> <strong>the</strong> Proposed Degazettement <strong>of</strong> Mabira CFR | 2011

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