There are two species, X and Y, with abundances \(x\) and \(y\), respectively. Species X has growth rate \(\alpha\), and species Y has growth rate \(\beta\). Assume that the sum of the species abundances is constant over time, i.e., \(x + y = 1\). Let \(x\) and \(y\) follow the rate equations:
\[
\frac{dx}{dt} = \alpha x - \varphi x, \quad \frac{dy}{dt} = \beta y - \varphi y,
\]
where \(\varphi\) is the average species fitness. Which one of the following options correctly represents the expression for \(\varphi\)?