phavoc said:
There are some rather large holes in Lanchester's laws. His linear equations (for factoring in ancient style fighting like phalanx vs phalanx) works at only the absolute simplest level - it does not include archers, chariots, cavalry, terrain, weather, leadership, etc. Yes, it's a model, but with severe limitations. His square law takes into account massed fire (to a degree), but not technology. And it's only attempting to model attrition. So somewhat useful in things like artillery bombardments, though as a former redleg (artillerist) I can tell you there are a host of things to blunt or remove the effects of shelling.
Gaming none of this can be modeled very well, and shouldn't as it really slows things down and, in my opinion, makes it far less fun. Understanding the underlying aspects (and limitations) of things helps shape theories. But the first thing to be remembered is that modeling things like this is not necessarily a good reflection on how it will go in reality - especially when it's people who are being modeled.
There's nothing wrong with models, but problems arise when people mis-use models and get them to do things they're not designed for. These aren't holes or errors in the model.
To use the example of artillery. Predicting where artillery shells will land when fired is a model. Do you trust that model?
Predicting the effect of that shell landing is a whole different model, and is less accurate.
Regarding High Guard, if you line up equal capital units and fire intelligently, Lanchester will work just fine. If you don't, it's a user error.