Hi Cecil -

Let me again thank you for taking the time to respond to my follow-up
questions! But since the questions you answered are again somewhat
different than the questions I asked, I am going to follow up yet again.

I understand that the monopole pattern is essentially toroidal, and
that the long dipole at 30m produces a more complex, lobed pattern.
The peaks of those lobes have higher gain than the broad, toroidal
pattern of the monopole. No surprises in any of that.

However, neither of these antennas are rotatable. Therefore, there
is no guarantee that either or both will always receive incoming
signals at the most favorable angles. "Average" gain across a range
of angles is therefore very relevant to any comparisons.

If you wouldn't mind exercising your model some more, here are
some questions intended to address the "average" gain topic.
(I'm stressing model results because the type of numbers requested
would be highly impractical to try to measure on the physical
antennas.)

1. At what elevation angle X does the monopole show the highest gain,
and what is that gain?

2. What is the "average" gain of the dipole, at elevation angle X, taken
over the full 360 degrees of azimuth, at one-degree increments?
(Note: Gain data points expressed in dB should be converted to
linear powers, the linear powers averaged, and then the average
linear power converted back to dB, of course. To do otherwise
would improperly penalize a lobed pattern (the dipole) that might
have one or two minus infinity dB gain values.)

3. If you're still on board with all this, it would also be interesting to
know what happens to the elevation angle and gain of the monopole
if the number of radials is kicked up to a large number, like 64.

The validity of the above depends in part on equitable assumptions
about transmission line losses in the two cases, of course.

73, Ed