Using the latest stellar evolution models, theoretical stellar spectra
, and a compilation of observed emission line strengths from Wolf-Raye
t (W-R) stars, we construct evolutionary synthesis models for young st
arbursts. We explicitly distinguish between the various W-R subtypes (
WN, WC, WO), whose relative frequency is a strong function of metallic
ity, and we treat O and Of stars separately. We calculate the numbers
of O and W-R stars produced during a starburst and provide detailed pr
edictions of UV and optical emission line strengths for both the W-R s
tellar lines and the major nebular hydrogen and helium emission lines,
as a function of several input parameters related to the starburst ep
isode. We also derive the theoretical frequency of W-R-rich starbursts
. Our models predict that nebular He II lambda 4686 emission from a lo
w-metallicity starburst should be associated with the presence of WC/W
O stars and/or hot WN stars evolving to become WC/WO stars. In additio
n, W-R stars contribute to broad components beneath the nebular Balmer
lines; the broad W-R component may constitute several percent of the
total flux in the line. We review the various techniques used to deriv
e the W-R and O star content from integrated spectra, assess their acc
uracy, and propose two new formulae to estimate the W-R/O number ratio
from UV or optical spectra. We also explore the implications of the f
ormation of W-R stars through mass transfer in close binary systems in
instantaneous bursts. While the formation of W-R stars through Roche
lobe overflow prolongs the W-R-dominated phase, there are clear observ
ational signatures that allow us to distinguish the phases in which W-
R stars are formed predominantly through single or binary star channel
s. In particular at low metallicities, when massive close binaries con
tribute significantly to the formation of W-R stars, the binary-domina
ted phase is expected to occur at ages corresponding to relatively low
HE equivalent widths. The observational features predicted by our mod
els allow a detailed quantitative determination of the massive star po
pulation in a starburst region (particularly in so-called ''W-R galaxi
es'') from its integrated spectrum and provide a means of deriving the
burst properties (e.g., duration and age) and the parameters of the i
nitial mass function of young starbursts. The model predictions should
provide the most reliable determinations to date. They can also be us
ed to test current theories of massive star evolution and atmospheres
and to investigate the variation in stellar properties with metallicit
y.