Jerry,
Welcome to the WFM forums and to owning a classic and desirable 318 tractor.
Since you are asking about the year model and not a replacement serial number tag, I presume that your inquiry has to do with getting the right parts for your tractor, correct?
Let's begin with the serial number tag on the engine if that is present...the Onan serial numbers start with a single letter followed by a series of numerals. The first two numbers after the letter represent the last two digits of the year of engine manufacture, the letter is the month (A=January, B=February, etc.) If your tractor has its original engine , you can be fairly certain that the tractor itself was made just a few months after that engine date code.
There were several major running changes in the 318 model during production and you can bracket the serial number range/model year by carefully matching your tractor to these changes.
For instance, the hydro lever dampener linkage had four 'revisions' and the serial number ranges of each are clearly shown in the PC1924 parts catalog (viewable for free on the JDParts web site.) I will send you an excerpt via e-mail to make it easier to do the comparisons. Another very major change occurred in the mid 1980's when the B43G series engines were updated to the P218G series. A somewhat later change added the parking brake safety switch at SN 600,305 which is mid 1989 model year run. You get the idea...
Let us know some particulars about our tractor and we can help narrow it down.
Chuck