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Mathematical
(Parametric) Models


One of the three types of models
to calculate reinvestment
rates for maintenance
and renewal costs (ie., Keepup
Costs) at different stages in a
building's lifecycle.
These
methods use mathematical expressions made up of quantifiable variables.
They
are based on the assumption that annual maintenance and renewal funding
requirements can be estimated with a mathematical equation. The
formulas are
typically algebraic, regression analysis or simulation based on
historical
data. The expressions range from simple singlevariable equations to
very
complex. The
figure alongside contains an example of the mathematical expression
from the NACUBO
model. Whereas the lifecycle models require data on the benchmarked useful service life of the subsystems within a building, the mathematical models can either exclude this parameter or include additional parameters Some of the additional
parameters
used in the mathematical expressions are: location/climate zone, age,
size,
type, construction costs for different subsystems, facility operating
budgets
and condition data.
Examples: Some examples of mathematical models include:
Evaluation The mathematical models are typically the most defensible of the three types of desktop assessments and the assumptions in the models can be validated through a subsequent condition assessment at Level II or III.These methods are typically more dataintensive than the life cycle models and some of the data can be difficult to obtain. Several assumptions may therefore need to be made based on condition assessments performed on buildings with similar attributes. 
Fig. An example of the mathematical expression from the NACUBO model. 

See also:

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