### Wolverhampton Archaeology Group

#### By M R Holland

Dating a Single Find

You'll need a set of small diameter drills to clean the pipe bore and measure the internal diameter. Ideally, your set should range from 4/64 to 9/64 of an inch but metric sizes from 0.5 to 3.0mm in 0.5mm steps will work.

Use one of your drills to carefully clean out any debris then using the smooth end of each drill, find the largest one which will fit into the bore. If using metric drills, choose the nearest value. For example, if a 1.5mm drill fits but a 2.0mm drill does not the bore is equivalent to 4/64".

```    Bore (1/64")     Bore (mm)    Year
4              1.58       1720-1750
5              1.98       1720
6              2.38       1680-1720
7              2.78       1680
8              3.18       1650-1680
9              3.57       1650
```

Dating a Group of Finds

There are formulae for calculating the date from weighted bore sizes, in which the most frequent sizes contribute more to the result. This gives a better estimate of the most common date of occupation. The formula used by Binford and Hanson assumes there is a linear change of bore size with time, whereas Heighton uses a second order polynomial formula which gives a better fit to the data.

To calculate the weighted bore:-

• Count the number of pipe stems of each bore size
• Multiply each bore size by the number of stems for that bore
• Add all the products together
• Divide the sum of the products by the total number of stems to give the weighted bore

Here's a worked example

```    Bore (1/64)      Number of stems  Product
4                   22        88
5                   42       210
6                    6        36
Totals                  70       334
Weighted bore (334/70)             4.77
Date (Binford)                  1749
Date (Hanson)                   1745
Date (Heighton)                 1751
```

Use the weighted bore size with the calculator below to obtain the date using the forumlae by Hanson, Binford and Heighton.

 Enter weighted bore then press [TAB] or tap [Next] to calculate the date Weighted Bore (64ths of an inch) Clear data Date from Weighted Bore (Hanson): Date from Weighted Bore (Binford): Date from Weighted Bore (Heighton): Formulae: Date from Hanson = 2026.12 - 58.97(Weighted Bore) Date from Binford = 1931.85 - 38.26(Weighted Bore) Date from Heighton = 1600 + 22((-log(Weighted bore) + 1.044325) / 0.05324) Reference: Heighton & Deagan Barca, K.G. BA Thesis, p10, 2012 "The best kind of Long Ones"