
Riblet Frequency as a Taxonomic Character in New Zealand
Terrestrial Mollusca
[Received by the Editor, July 6, 1959.]
Abstract
Riblet frequency in single populations of Charopa coma (Gray), Fectola tapirina (Hutton), Cavellia biconcava (Pfeiffer), Ptychodon hunuaensis Suter, Allodiscus tullia (Gray), Suteria ide (Gray), and in two widely separated populations of Phenacohelix ponsonbyi (Suter), has been studied to ascertain the extent of variation within post-nuclear whorls and levels of correlation between such whorls (Charopidae and flammulinidae). In all species studied the standard deviation is lowest in the first post-nuclear whorl and rises sharply in the second. With one exception there is a further but often less pronounced rise in the third whorl. Significant correlations between whorls are most frequent in the case of whorls two and three. The second and third post-nuclear whorls appear to be of comparable value in determining population statistics, but there are other factors which favour the use of the former.
Introduction
Riblet orientation, form, definition, and frequency, both in the protoconch and post-nuclear whorls are variable characters of major importance in the systematics of our terrestrial Mollusca. Frequency is commonly employed at the species and sub-species levels (Suter, 1913).
The present investigation was carried out to ascertain whether any general principles apply with regard to the relative variability of riblet frequency in postnuclear whorls. The use of whorls based on post-eclosion growth (especially of the second post-nuclear whorl) has a number of advantages, but before accepting this it seemed desirable to examine riblet frequency variation in representative species of a number of the genera concerned.
Method
Riblet counts in post-nuclear whorls were made on single populations of 3 flammulinid and 4 charopid species belonging to 7 genera. Delimitation of whorls was determined by tracing ribs between sutures rather than by strictly radial means. The selection of the species depended solely on the adequacy of samples available in the author's collection.
Results
The information in respect of each species may be summarized as follows:
Allodiscus tullia (Gray) (Flammulinidaa) Rimutaka Range, 28. 1.40.
| Whorl | 1 | 2 | 3 |
| No. of Observations | 30 | 30 | 30 |
| Range in No Riblets | 55–66 | 69–94 | 100–130 |
| Mean | 59.7 | 80.0 | 111.8 |
| Standard Error of Mean | ±0.5 | ±1.3 | ±1.6 |
| Standard Deviation | 2.59 | 6.86 | 8.63 |
| Coefficient of Variation | 4.4% | 8.6% | 7.7% |
| Correlation Coefficients | 1, 2 | −0.130 | NS |
| 1, 3 | +0.067 | NS | |
| 2, 3 | +0.723 | S |

Suteria ide (Gray) (Flammulinidae) Awakino Gorge, July, 1948.
| Whorl | 1 | 2 | 3 | 4 |
| No Observations | 14 | 14 | 13 | 11 |
| Range in No Riblets | 26–35 | 31–47 | 43–58 | 55–80 |
| Mean | 30.1 | 37.7 | 48.1 | 66.5 |
| Standard Error of Mean | ±0.7 | ±1.4 | ±1.1 | ±2.0 |
| Standard Deviation | 2.63 | 5.14 | 3.93 | 6.74 |
| Coefficient of Variation | 8.7% | 13.6% | 8.3% | 10.1% |
| Correlation Coefficients | 1, 2 | +0.374 | NS | |
| 1, 3 | +0.038 | NS | ||
| 1, 4 | +0.075 | NS | ||
| 2, 3 | +0.587 | S | ||
| 2, 4 | −0.021 | NS | ||
| 3, 4 | +0.563 | S |
Phenacohelix ponsonbyi (Suter) (Flammulinidae) Sample 1. Ness Valley, Clevedon, 9.7.58.
| Whorl | 1 | 2 | 3 |
| No. Observations | 30 | 30 | 30 |
| Range in No. Riblets | 30–43 | 44–59 | 64–85 |
| Mean | 38.4 | 52.5 | 74.4 |
| Standard Error of Mean | ±0.6 | ±0.7 | ±1.1 |
| Standard Deviation | 3.12 | 3.93 | 5.75 |
| Coefficient of Variation | 8.1% | 7.5% | 7.7% |
| Correlation Coefficients | 1, 2 | +0.338 | NS |
| 1, 3 | +0.156 | NS | |
| 2, 3 | +0.581 | S |
Phenacohelix ponsonbyi (Suter) (Flammulinidae) Sample 2. Mangamuka Bridge, 23.9.58.
| Whorl | 1 | 2 | 3 |
| No. Observations | 55 | 43 | 21 |
| Range in No Riblets | 33–47 | 46–65 | 67–100 |
| Mean | 39.8 | 54.7 | 80.5 |
| Standard Error of Mean | ±0.5 | ±0.7 | ±1.5 |
| Standard Deviation | 3.53 | 4.47 | 6.97 |
| Coefficient of Variation | 8.9% | 8.2% | 8.7% |
| Correlation Coefficients | 1, 2 | +0.030 | NS |
| 1, 3 | −0.083 | NS | |
| 2, 3 | +0.526 | S |
Charopa coma (Gray) (Charopidae) Pahiatua, 15.6.58.
| Whorl | 1 | 2 | 3 |
| No. Observations | 30 | 30 | 30 |
| Range in No Riblets | 21–29 | 25–39 | 31–49 |
| Mean | 24.4 | 31.2 | 40.1 |
| Standard Error of Mean | ±0.4 | ±0.7 | ±0.8 |
| Standard Deviation | 2.24 | 3.68 | 4.39 |
| Coefficient of Variation | 9.2% | 11.8% | 11.0% |
| Correlation Coefficients | 1, 2 | +0.788 | S |
| 1, 3 | +0.447 | S | |
| 2, 3 | +0.650 | S |
Fectola tapirina (Hutton) (Charopidae) Wilton's Bush, Wellington. 1938.
| Whorl | 1 | 2 | 3 |
| No. Observations | 30 | 30 | 30 |
| Range in No. Riblets | 44–59 | 57–82 | 73–110 |
| Mean | 53.5 | 69.7 | 95.8 |
| Standard Error of Mean | ±0.6 | ±1.2 | ±1.6 |
| Standard Deviation | 3.40 | 6.30 | 8.79 |
| Coefficient of Variation | 6.4% | 9.0% | 9.2% |
| Correlation Coefficients | 1, 2 | +0.687 | S |
| 1, 3 | +0.659 | S | |
| 2, 3 | +0.667 | S |

Cavellia biconcava (Pfeiffer) (Charopidae) Tauherenikau Valley, 1938.
| Whorl | 1 | 2 | 3 |
| No. Observations | 30 | 30 | 30 |
| Range in No. Riblets | 48–59 | 56–72 | 77–95 |
| Mean | 52.0 | 64.2 | 85.5 |
| Standard Error of Mean | ±0.4 | ±0.7 | ±0.8 |
| Standard Deviation | 2.01 | 3.65 | 4.19 |
| Coefficient of Variation | 3.9% | 5.7% | 4.9% |
| Correlation Coefficients | 1, 2 | +0.508 | S |
| 1, 3 | +0.621 | S | |
| 2, 3 | +0.608 | S |
Ptychodon hunuaensis Suter (Charopidae) Clevedon, 9.7.58.
| Whorl | 1 | 2 | 3 |
| No. Observations | 30 | 30 | 30 |
| Range in No. Riblets | 38–50 | 45–63 | 67–106 |
| Mean | 44.0 | 54.4 | 85.4 |
| Standard Error of Mean | ±0.6 | ±0.8 | ±1 9 |
| Standard Deviation | 3.10 | 4.08 | 10.57 |
| Coefficient of Variation | 7.1% | 7.5% | 12.4% |
| Correlation Coefficients | 1, 2 | +0.606 | S |
| 1, 3 | +0.543 | S | |
| 2, 3 | +0.331 | NS |
The information on variation is given in a number of forms. It is seen that the range in counts increases with successive whorls except in the case of Suteria ide which instance is unlikely to be significant. In all cases the standard deviation is lowest in the first post-nuclear whorl and rises sharply in the second. In all except one there is a further but often less-prouounced rise in the third whorl (Fig. 1). In the seven genera studied, significant correlations between whorls occur four times in the cases of whorls 1, 2 and 1, 3 and six times in the case of whorls 2, 3.
Discussion
Riblet frequency is doubtless governed by both inherent qualities and external influences, and just how much each contributes is difficult to assess. In most species the spacing between riblets is not a strictly constant feature although it is often moderately regular. At intervals, from the earliest stages, single spacings or successions of spacings which are wider or narrower than those which follow may occur. A study of the genera which occupy different types of habitat may show that this is reflected in the regularity of riblet spacing. One would expect such genera as Cavellia and Fectola which occur mainly beneath ground materials to show more regularity than is shown by the genera Phenacohelix and Ptychodon which often occupy materials away from ground level, and indeed, this may well be so; but just how much of this variation is inherent and how much is due to the conditions immediately at hand cannot be determined without experiment. These are important considerations in systematics.
Occasionally the number of riblets in the first post-nuclear whorl may equal or exceed the number of riblets in the second whorl in other specimens from the same population. The same may apply in the case of the second and third whorls. Usually, however, there is an increase in the number of riblets in successive whorls. Exceptions to the rule will probably involve specimens which have been injured, or species in which successive whorls show little increase in diameter such as
Phenacharopa novoseelandica (Pfciffer).
The tendency for riblet counts to increase on whorls formed later in the life of the animal is accentuated in many species in old age, and this is a feature which further complicates frequency variations.

Turning now to the present investigation, there are two generalizations in regard to riblet frequency which emerge. These concern the relative stability of the first post-nuclear whorl, and the strong tendency for significant correlation between counts of the second and third post-nuclear whorls.
The general tendency is for a relatively low standard deviation in the first whorl followed by a marked increase in the second, and a further but often less pronounced increase in the third whorl. There are several possible explanations for the apparent stability of the first whorl. Firstly, while the shell is small it is able to utilize niches where there is doubtless greater ecological stability: secondly, it is possible that the first whorl is completed in a relatively shorter period than the other whorls and so is less subject to seasonal changes. It is probable that egg-laying is a seasonal procedure among these small snails. Thirdly, stability in youth may be an inherent character. The true explanation may well lie in a combination of these factors. The characters of this first post-nuclear whorl are important where signifirant differences may be detected, but the characters on which allied species may be

detected and separated are often not evident at this early stage. The increased variability in succeding whorls may be due to the inverse of that stated for the first post-nuclear whorl, that is, the ecological conditions are not so stable, whorls are more time-consuming, and the species is losing the stability associated with youth.
It is possible that in many species the completion of the third post-nuclear whorl signifies maturity but not old age, and that had samples with a larger number of specimens been available and counts made on whorls situated 2½ to 3½ revolutions from the protoconch, then increased variability associated with old age would have been more evident. In Ptychodon hunuaensis there is possibly some evidence of this In this species it would appear that specimens rarely proceed far beyond the third post-nuclear whorl, so that here we have full expression of increasing variability associated with old age. This species besides being the smallest studied is also a fairly robust one which features may contribute to higher survival rates of older individuals.
This aspect may appear to minimize the value of the significant correlations occurring above between whorls two and three, but if the species is to be characterized by the form of the mature individual which most commonly occurs rather than by the occasional old specimen, then the value of the correlations is still real.
In view of this high degree of correlation in frequencies between second and third post-nuclear whorls in species which produce 3 to 4 post-nuclear whorls, there seems to be no reason why the second whorl should not be selected for use in statistical studies, for it does possess certain advantages over other whorls. Where 4 to 5 post-nuclear whorls are usual, the third whorl may possess similar advantages. As shells become older, the riblets on younger portions often become worn away and difficult to count. In older portions of the shells the riblets often become so closely spaced that they present similar difficulties. Most samples of populations contain a fair proportion of younger shells in which the second but not the third whorl is available for counts. Less counting is involved in the second than in the third whorl.
It has been customary in the past to draw riblet frequency data from the socalled “body-whorl”. This is that portion of the shell which runs from the lip back and around to that point exactly adjacent. This procedure introduces a variable which may be eliminated by substitution of frequencies strictly related to the post-nuclear whorl. It is desirable that species definition contain statistics pertaining to all post-nuclear whorls to assist the identification of young specimens.
Acknowledgment
The author gratefully acknowledges the assistance of Mr. A. C. Glenday, of the Applied Mathematics Laboratory, Department of Scientific and Industrial Research, who made the analyses of riblet counts and provided useful suggestions in the presentation of results.
Reference
Suter, H., 1913. “Manual of New Zealand Mollusca.” N.Z. Govt. Printer, Wellington 1120 pp.
R. A. Cumber,
489 Albert Street,
Palmerston North.

