We can demonstrate the fact, however, in the case of man by the help of certain very interesting measurements which have been recorded by Daffner67, of the height of German cadets, measured at half-yearly intervals.
| Height in cent. | Increment in cm. | ||||||
|---|---|---|---|---|---|---|---|
| Number observed | Age | October | April | October | Winter ô§-year | Summer ô§-year | Year |
| 12 | 11ã12 | 139ôñ4 | 141ôñ0 | 143ôñ3 | 1ôñ6 | 2ôñ3 | 3ôñ9 |
| 80 | 12ã13 | 143ôñ0 | 144ôñ5 | 147ôñ4 | 1ôñ5 | 2ôñ9 | 4ôñ4 |
| 146 | 13ã14 | 147ôñ5 | 149ôñ5 | 152ôñ5 | 2ôñ0 | 3ôñ0 | 5ôñ0 |
| 162 | 14ã15 | 152ôñ2 | 155ôñ0 | 158ôñ5 | 2ôñ5 | 3ôñ5 | 6ôñ0 |
| 162 | 15ã16 | 158ôñ5 | 160ôñ8 | 163ôñ8 | 2ôñ3 | 3ôñ0 | 5ôñ3 |
| 150 | 16ã17 | 163ôñ5 | 165ôñ4 | 167ôñ7 | 1ôñ9 | 2ôñ3 | 4ôñ2 |
| 82 | 17ã18 | 167ôñ7 | 168ôñ9 | 170ôñ4 | 1ôñ2 | 1ôñ5 | 2ôñ7 |
| 22 | 18ã19 | 169ôñ8 | 170ôñ6 | 171ôñ5 | 0ôñ8 | 0ôñ9 | 1ôñ7 |
| 6 | 19ã20 | 170ôñ7 | 171ôñ1 | 171ôñ5 | 0ôñ4 | 0ôñ4 | 0ôñ8 |
In the accompanying diagram (Fig. 30) the half-yearly increments are set forth, from the above table, and it will be seen that they form two even and entirely separate series. The curve joining up each series of points is an acceleration-curve; and the comparison of the two curves gives a clear view of the relative rates of growth during winter and summer, and the fluctuation which these velocities undergo during the years in question. The dotted line represents, apôÙproxôÙiôÙmateôÙly, the acceleration-curve in its continuous fluctuation of alternate seasonal decrease and increase.
In the case of trees, the seasonal fluctuations of growth68 admit {119} of easy determination, and it is a point of considerable interest to compare the phenomenon in evergreen and in deciduous trees. I