By C H A R L E S F. G O S N E L L Obsolescence of Books in College Libraries Dr. Gosnell lege, is librarian Flushing, N.Y., service, School library Columbia of Queens and This based on a thesis submitted University associate of Library University. ColService, newer books in their lists of books for college libraries.1 He pointed out of distribution which was essentially the York same in each of the lists and suggested several 194.3. questions as to the nature significance of these curves of HE PROBLEM of maintaining efficient tion. college T quires library book consideration of re- of the of questions. effects rials. of obsolete mate- Heretofore obsolescence has been considered principally with reference to and distribu- He now presents a progress report collections obsolescence and planning for the segregation or withdrawal that this preference fell into a rough pattern is report at New in September in his efforts to answer some of The fundamental assumption these in this study is that the compilers of the three select lists consciously followed certain or unconsciously principles of choice individual and specific titles rather than which to groups of books, but no general plan- to the particular titles chosen and that ning can be done except on a quantitative these principles may be discovered basis. studied by a form of documentary analy- For evaluation of libraries by ac- are significant without reference and crediting agencies, it is important to have sis of the lists. a fairly simple and precise basis for com- diate interest is that of preference for the parison of libraries and lists of books with newer or more recent titles. regard presence and "more recent" are of course relative quantitative terms referring in each case to the par- of to obsolescence obsolete or material. By the analysis, primarily of three lists of recom- T h e principle of imme"Newer" ticular time the list was compiled. Con- mended books and secondarily by analysis versely, this is the principle of obsolescence of library collections, the writer believes —that that he has presented a clearer picture of value for use in the college library. obsolescence available. than has previously been Tentative conclusions in the form of comparative rates of obsolescence for various groups of material older books in general have less are re- Statistical The masses Bibliography second of assumption books (or is that mere titles) may be ported as suggestive for further study. Several years ago the writer called attention to the fact that Shaw and Mohrhardt showed MARCH, 1944 marked preference for 1 "Books for College Libraries." Library Journal 65:531-32, June 15, 1940. " V a l u e s and Dangers of Standard Book and Periodical Lists for College Libraries." College and Research Libraries 2:216-20, June I94 1 - 115 analyzed for certain characteristics without reference to their individual Statistical bibliography is a new or uncultivated field. titles. relatively But the astro- Distribution The were of Imprint fundamental the dates of Dates data of the study of titles publication included in the three lists. T h e signifi- nomical proportions to which some of our cant features of the distribution curves3 libraries, their catalogs, and bibliographies were: ( i ) There is a rapid rise in num- in general ber of are growing must force li- titles per year, going backward brarians to consider collections of books for the first few years preceding the date as populations. of issue of each respective list; (2) A typical example of The what can be done is the study of "certain maximum number of titles per year oc- biological curs properties" of literature by Wilson and Fred. 2 within three years publication of each list; preceding (3) the After this This assumption demands that individ- maximum is reached, the number of im- ual titles, especially the exceptional (and prints per year drops rapidly at first and therefore more noteworthy) ones, forgot; that attention be to the as a whole—its trends. The averages larger and the be then more slowly, approaching the base group line of zero asymptotically in the early general groups, the years. T h e initial rise may be ascribed to lag in selection of books. This lag is greater the play of many factors and the due to delay in appearance of more reliable and acceptance by scholars. the conclusion. Life in- reviews The drop, surance mortality tables are not primarily rapid at first but slower as the age of based on infant deaths or the longevity remaining of all of a preference for newer books over old A study of book or rejection of older titles for the newer, obsolescence or mortality will not depend because the older ones have become obso- primarily upon ephemera or classics but lete. octogenarians but on others of the population. upon all kinds of books. these and T h e very multi- titles increases, is expressive This pattern is repeated independently plicity of causes of death seems to lend for each of the three lists. stability to the human mortality rate. part does not show in the Shaw supple- T h e causes of book mortality or obso- ment for 1931-38, because, The as latter a sup- lescence are many, varying from pure fad plement, titles over nine years old were through extension ef scientific knowledge, automatically excluded. technological fundamental not markedly affected by the rate of book T h e object production as derived from annual tables changes, to changes in our civilization. T h e pattern is of the present study has been, not to dis- in the Publishers' cover tion of the age of the titles at the time or classify these analyze their total effect. causes, but to Deterioration or destruction of books is not true obso- each list was Weekly.4 compiled It is a funcrather than of any other observed variables. lescence, and no consideration has been From the fall in the curves it is im- given to the physical properties or condi- mediately evident that the older a title tions of books. is at a given time of selection, the less 2 Wilson, P. W „ and Fred, E. B. " T h e Growth Curve of a Scientific Literature; Nitrogen Fixation by Plants." Scientific Monthly 41:240-50, September 3 Illustrated in College and Research 2:218, June 1941. 4 " U . S. Book Production, 1920-1939." Weekly 139:232, Jan. 18, 1941. I93S- v 116 COLLEGE AND RESEARCH Libraries Publishers' LIBRARIES are its chances of being selected or of surviving the selective process. In gen- scale, or the data, plotted in logarithms, tend to form a straight line. Pearson's eral, each preceding year back from the criteria of moments indicate his T y p e X , date of selection is represented by fewer the exponential curve. titles. of organic decay appears as the expres- That group is, if in a given there are one hundred subject titles 23 Thus the curve sion of obsolescence: years old and ninety titles 24 years old, y = y0bx the rate of obsolescence between age 23 where (y) is the number of titles, and 24 is 10 per cent. the number of titles at the maximum or If a similar select list were to be prepared one year later, the group of one hundred older would have (from 23 to become 24) one initial (x) point, with eliminated, 6) — 1 b (fc>) omega, becomes the annual rate of the same rate of obsolescence, be reduced decrease in the curve, or the rate to ninety. solescence. And if the rate from age 24 to 25 were approximately the same, the eighty-one. And similarly, drop from eighty-one would enty-three. the be to sev- Conceivably the process con- tinues indefinitely, with the older groups becoming practically zero. logarithmic Per cent of decrease is ex- This rate is almost the exact opposite of the rate of or normal curve, But a satisfactory fit was not se- cured and logic indicated that the opposing forces of lag and obsolescence should be isolated. By interest. It capital is decreased instead of in- creased. form: log y = log y c + x log b an equation of the type: Pearson's types I, III, and I X , and others. compound indicates the rate at which the principal ting to the data, including the normal the ob- By shifting the equation to logarithmic Several curves were considered for fitcurve, of pressed by (iooto). group of ninety would drop to approximately and is time elapsed. When year and, suffering lag (y 0 ) dropping data Y = A + BX the curve takes the form of line. a straight By the short method of least squares this is easily fitted to the data in logarithmic form. For simple graphic analy- for the rising portion of the curve for sis and illustration, the data of imprint the first few years and limiting consid- dates may be plotted eration to the rate of decline after the logarithmic grids, as already indicated. early maximum was reached, the effect of lag was substantially eliminated. The curves thus sented in Diagram 1. remaining directly on semi- For easy computation and quick graphic checking, the data of imprint dates may are pre- Data for the Shaw be grouped into five-year periods and immediately transferred into logarithms. and Mohrhardt lists have been grouped Plotting of logarithms is illustrated for in four subject sections in Diagram 2. five-year periods for simplicity, but this could not be done for the Shaw supplement. A similar curve for book cir- culation at Hamilton College Library is included and will be described later. These curves, plotted on a logarithmic MARCH, 1944 Rates of Obsolescence By means of the formulae and methods outlined above, the rates of obsolescence have been computed for nineteen subject 117 groups in the select lists; they are pre- tion sented chosen was 8.1 per cent smaller than for in Table I. The number of of the list the and Mohr- is, titles were 500 titles ten years old, there were Shaw That of two First, year. number groups has been reduced to nineteen for reasons. preceding the if there hardt did not use exactly the same clas- some 8.1 per cent fewer, or approximately sifications, e.g., 460 "Romance Languages" as 2000 4000 30 in the eleven-year-old . \ group; and Legend - Shaw List — Mohrhardt — — — Shhw Supp. -t h Hamilton 400 1500 3000- 300- rf go' 1000 2000- 4.* E 10 O <D 500 1000 rH u a OJ a. .a 3 £ tn 3 •s J 30 1900 20 Imprint Dates DIAGRAM I I M P R I N T D A T E S OF T I T L E S I N T H E S E L E C T L I S T S A N D AT HAMILTON used by Shaw was split by into "French" and Mohrhardt "Spanish." Second, some subject classes such as "Botany" and "Zoology" were too small for effective separate treatment and similar enough to T a b l e I reads as follows: For the enis 8.1 per cent. tion and the rate of For Hygiene" obsolescence "Physical it is 21.6 8.1 per cent of 460 fewer, or 421, in the twelve-year-old group. These rates may be compared by rank but as ratios they cannot be added averaged. Educa- per cent. agreement in (&)) for each subject in the three tween lists. The rank: correlation the rates for the Shaw List the supplement is + . 5 3 ; and ject Shaw supplement and Mohrhardt, In the number of titles which comprise it, this subject ranks eighteenth. Mohrhardt, between T h i s rate is highest in rank of all subgroups in the Shaw List. or It is evident that there is substantial combine readily into larger groups. tire Shaw List CIRCULATION COLLEGE Further direct detailed relationship +.84; between and Shaw between analysis the +.66. reveals the be- size no or T h e rate of 8.1 indicates that in gen- total number of titles in a subject group eral for each year back from the compila- and its (to) nor between the number of v 118 COLLEGE AND RESEARCH LIBRARIES titles in The the maximum year and (w). rate of obsolescence seems to be E d u c a t i o n " and " C h e m i s t r y and Pltysics." But one of the smallest groups, has a medium rate. not a variable dependent upon some other matics," " M u s i c , " and " P h i l o s o p h y " are continuous small groups w i t h l o w rates. variable. No other ordinal relationship of the respective subject sections has been found to correlate definite- Sociology T h e M o h r h a r d t List, And "Mathe- as a whole, is the smallest of the three and has the highest History DIAGRAM THE 2 R A T E OF O B S O L E S C E N C E ly w i t h (to) in either the positive or the rate. negative. total but limited to only ten years. There ^ "Geography," a property peculiar to each subject and larger Perhaps lower to conversely, have a some totals for each of these years are much lower rate. nearer to those of the original S h a w a subject h a v i n g a titles. This is true in List f o r titles of the same age. rate may have a tendency to ac- c u m u l a t e more The for is a slight tendency subjects T h e S h a w supplement is small in In some fields, such as " C h e m i s t r y and " E n g l i s h , " " H i s t o r y , " and " G e n e r a l ; " yet ics," a large proportion of current research "Mathematics," is " M u s i c , " and "Philoso- published in professional journals. p h y " all a m o n g the smaller subjects, f a l l M a n y of the books are either textbooks or l o w in (<o). handbooks and reference books. Similarly, small subjects might be small T h e bear- ing of this fact on obsolescence is difficult to because their titles do not l o n g survive, evaluate. i.e., because their rate of obsolescence w a s need f o r current high. the journals and the output of n e w book T h i s may be the case w i t h " P h y s i c a l MARCH, 1944 ^ Physics," " P s y c h o l o g y , " and " M a t h e m a t - From one point of v i e w publication is met the by 119 ^ titles is c o n s e q u e n t l y r e d u c e d . ly by the rapid the developments journal frequent articles revisions and books a n d handbooks flected a in high present changes of selection in place textbe re- technical books obsolescence. m a t i c a l l y s t a t e d by has been for The all within entire three eleven of process the years clearly any fundamental of lists took (1929-40). T h i s p e r i o d is n o t l o n g e n o u g h to T h e p r o b l e m of s u c h obsolescence in the field of study. occasion must and should rate a n y s u c h c h a n g e s w i t h i n the l i m i t s of the Converse- characterized show changes. T h e possibility of a g e n e r a l s h i f t in the dra- r a t e d u r i n g the p e r i o d 1 8 9 0 - 1 9 2 0 is sug- Thompson.5 gested by the y e a r l y t o t a l s f o r the Shaw a n d M o h r h a r d t lists a n d in m a n y s u b j e c t Fluctuations in (to) sections. I t is q u i t e possible t h a t the (to) given subject might change of y e a r s . a for a over a change in approach all span T h i s c h a n g e m i g h t be d u e general straight or In the lines, curves process it w a s rose above to f o r the period of in ceeding ten-year of fitting found the that straight 1900-10. period the nearly lines I n the they fell suc- below. TABLE I R A T E OF OBSOLESCENCE (CO) IN THE THREE SELECT LISTS Shaw '31 Subject Section 100 CO Total Physical Education, Health Education Economics Chemistry, Physics Psychology Sociology Political Science Geography Botany, Zoology Religion History Fine Arts English General, Astronomy, Geology Mathematics Foreign Languages Music Philosophy Classics 8.1 21.6 15-3 13.2 12.9 12.4 11.7 10.9 9.6 7-9 7-7 6.7 6.7 6.5 6-3 6.0 5-7 4-9 4.2 4.0 Shaw Supplement CO Rank Size Rank 1 2 3 4 5 6 18 10 5 16 7 8 9 10 11.5 11.5 13 14 15 16 100 CO 17 9 8 19 13 12 2 7 1 3 15 4 14 11 6 17 18 19 Size co Rank Rank 7 6 18 9 14.5 1 11 2 9.6 16.2 13.2 15.2 21 .7 17.8 13-7 14.5 13.6 I4.0 9-1 9-5 10.7 8.6 14 19 9 5 17 13 4 17 5 16 14.5 13 10.9 6.2 6.7 10.7 7-4 7-4 7-i i-5 12.8 15.9 3-6 7-4 19 9 3 9 12 m e t h o d o l o g y in a s u b j e c t or t o a s u d d e n This contemporary field. interest or expansion in the I t has n o t been possible to isolate 5 Thompson, J. S. The Technical Book Publisher in Wartimes. N e w Y o r k , New Y o r k Public Library, 1942, p. 9-10. v 120 pattern or cycle CO Size Rank Rank 100 CO 8.4 3 1 -3 j 1 11 9-o 19.1/ 4 2 23-4 5-5 15 19.7 3 6 14.8 10.7 10 14-7 7 18 1.6 8.2 12 14.6 8 4.1 16 increase of Mohrhardt 15 17 7 5 14 15 10 11 18 8 12 2 6 1 10 19 18 12 16.5 16.5 3 19 4 16 13 9 3 9 4 I 2 7 5 8 6 14 13 11 is a function c o n d i t i o n s , n o t of the of age of the titles. T h e rise m a y be ascribed to a n u m b e r of factors: COLL EGE AND (a) an increased RESEARCH production LIBRARIES of books in the p e r i o d ; ( b ) an increased Of proportion of made in terms of individual r i o d ; and portion desirable books in the pe- (c) of s u r v i v a l of a l a r g e r these titles because pro- enough course n o definite statements can be titles. But, r e g a r d i n g a given g r o u p , predictions can be made with the same justification as stronger titles did not appear in the w a r they are in similar situations in life in- years immediately surance and annuities. following. The drop m a y be due to a reverse of these conditions. in C e r t a i n l y it w a s not due to drop production alone, for there was a The annual mortality rate g i v e n g r o u p is expressed by for ( t o ) , or, in terms of per cent, ( i o o c o ) . T h e number of w e a l t h of publications in history and po- titles r e m a i n i n g in the g r o u p litical science d u r i n g the w a r years. the lapse of a time ( t ) is given b y : It of these publications in (yr) after yr = y0(i-o))t is more likely that the v e r y u r g e n c y and immediacy any a I t is possible to compute the time re- critical period condemned them to short quired to reduce the g r o u p to any given life. A remainder m u c h l a r g e r v o l u m e of data, cover- and the average life or life T h e r e are m a n y applications expectancy. i n g a l o n g e r span of time, w o u l d be re- of the exponential quired been f u l l y explored by w o r k e r s in other to demonstrate nature and extent of conclusively fluctuations the in (o) f o r given subjects. In this clared nomical] cultural "purely time time Sorokin has quantitative cannot and and here. connection that fields de- [astro- replace is inadequate sociofor study of sociocultural p h e n o m e n a . " 6 a As they Some equation w h i c h need of the not be simplest have mentioned and most satisfactory analogies m a y be f o u n d in the field of radioactivity and the decay of radioactive substances. Comparison with Library Holdings an example he points out that " O n e y e a r T h e lists have been generally accepted of existence of a m o d e r n social g r o u p is as practical standards for college l i b r a r y packed w i t h more n u m e r o u s and g r e a t e r collections. changes than are f i f t y years of w h i c h emerge f r o m analysis of these lists existence But no general principles Some can be g e n e r a l l y accepted until they are investigators have studied a similar prob- compared and tested against actual library lem in the process of situations. of some isolated primitive t r i b e . " 7 forgetting, where the n a t u r e and intensity of activities be- T o do this, samples w e r e taken f r o m the shelflists of five local libraries t w e e n the l e a r n i n g period and the reten- f o r f o u r subject sections. tion test are factors. c o m p u t a t i o n are presented in T a b l e 2. Li- braries B , C , and D the Mortality and Life Expectancy possible certain generalizations have acquired bulk of their collections w i t h i n the past F i t t i n g of the exponential equation to the data and c o m p u t a t i o n of T h e results of t w e n t y - f i v e years. L i b r a r i e s A and E are makes m u c h older but each has f o l l o w e d a f a i r l y regarding systematic policy of w e e d i n g and discard- (co) the life expectancy and m o r t a l i t y of books. ing. Sorokin, P. A. Sociocultural Causality, Space, Time. Durham, N.C., Duke University Press, 1943, t w e e n the libraries and the lists in rela- A l t h o u g h there is s t r o n g agreement be6 tive MARCH, 1944 ranks of the coefficients for each 121 s u b j e c t , it is e v i d e n t t h a t , in the a g g r e g a t e , a c o l l e c t i o n m a y be b r o a d e n e d is in g r e a t e r the coefficients o r r a t e s are l o w e r f o r t h e e m p h a s i s o n the h i s t o r i c a l b a c k g r o u n d a n d l i b r a r i e s t h a n f o r t h e lists. development The interpretation between the of libraries this and p e n d s u p o n the p o i n t of v i e w . of the lists m i g h t difference the say t h a t lists de- A defender the books rapidly a subject. Thus which have become The obsolete analysis f a i l e d t o d i s c a r d to a g r e a t e n o u g h e x t e n t . its f u n c t i o n s w i l l of each R A T E S OF O B S O L E S C E N C E IN C O L L E G E L I B R A R I E S individual library i n d i c a t e the Library essential, however, redefined and not than more be- O n l y a careful that restudied and directions in w h i c h the e m p h a s i s s h o u l d 2 for t r u t h seems t o lie s o m e w h e r e t w e e n the t w o e x t r e m e s . e n o u g h o r in sufficient q u a n t i t y a n d h a v e TABLE there o r d i n a r y d a i l y use. libraries have failed to add n e w material of is m o r e reason f o r r e t a i n i n g e x a m p l e s of be. It is the problem at intervals of And li- ten years. be the b r a r i a n m u s t c a m p a i g n ceaselessly a g a i n s t Subject A Chemistry andphysics 4 . 1 Sociology 2.5 History 0.1 Classics * B C D E the inevitable coupled 6.1 11.0 3.1 1.1 12.8 10.5 6.1 6.0 12.9 10.5 5.2 3.0 5.7 2.1 1.1 * v Logsdon C o n v e r s e l y , it m a y be said t h a t the limands upon inertia which, frequent lack of Study evidence from the point of c o m p i l e r s of lists h a s been sented by L o g s d o n . 8 of pre- I n his s t u d y of in- de- proof of includes t h e v a l i d i t y of l o w e r r a t e s — a n d t h a t the lescence. r a t e s d e r i v e d f r o m the lists a r e too h i g h , g a t h e r e d f r o m r e a d i n g lists in e i g h t y - e i g h t especially textbooks. a latest them—pragmatic the larger and older li- I t is o b v i o u s t h a t in s e l e c t i n g f o r list o r certain for meeting and too the braries. successfully s Further view are all f u n d s , p r e v e n t s his a t t a i n i n g the i d e a l . * Denotes negative results, i.e., a preponderance of older material rather than new. braries lag with in buying preferences publications. t h r e e periods. to r a t e of Yet the balance in may be o n l y for slightly b e t t e r . T h i s m a y w e l l be t h e s i t u a t i o n in n o n e w titles h a v e been a d d e d in r e c e n t y e a r s a n d w h e r e the d e m a n d is s m a l l . a b s o l u t e size of a c o l l e c t i o n may also be a f a c t o r in d e f i n i n g obsolescence. F o r one d i r e c t i o n in w h i c h the scope of v 122 He accrue the basic sociology, analysis list of of he obso- titles was describes obsolescence t h e c i t a t i o n r e c o r d of will classics in l i b r a r i e s A a n d E , w h e r e a l m o s t The t e r m s of of extensive His library, o l d e r l i b r a r y is n o t o f t e n j u s t i f i e d in disone w h i c h an a new c a r d i n g a n o l d e r t i t l e it a l r e a d y has new literature for f a v o r of the n e w m a y be so s l i g h t t h a t the a structional F r o m his t a b l e obsolescence (<o) ( p . 32) has been a com- puted as .148 o r would i n d i c a t e t h a t i n t e r e s t in the titles he found listed c e n t each y e a r . 14.8 per in titles in declined cent. nearly This 15 per T h i s is c o m p a r a b l e w i t h the rates listed in T a b l e 1 f o r " S o c i o l o g y , " viz.: Shaw, Mohrhardt, 11.7; 13.7. supplement, Logsdon's 19.7; findings t h u s a p p e a r t o be in s u b s t a n t i a l a g r e e m e n t w i t h those a l r e a d y p r e s e n t e d . « 8 Logsdon, R. H. The Instructional Literature of Sociology and the Administration of College Library Book Collections. Chicago, 1942. ioip. Unpub- lished thesis for Ph.D. COLLEGE AND RESEARCH LIBRARIES Circulation The Experience materials beyond that contemplated by the rates of obsolescence w h i c h have been presented so f a r have been computed on the basis of select lists, approaching ideal situations, and actual l i b r a r y collections. Even actual library collections have s o m e t h i n g of the ideal about them, since they are gathered in anticipation of need. Actual books is experience desirable. in the Such use of experience is the daily l i f e of any busy l i b r a r y b u t it is seldom recorded. An important excep- tion is Stieg's study of circulation at H a m ilton College.9 I n his T a b l e 4 (p. 4 0 ) S t i e g records the imprint dates of titles circulated. A curve compilers of the select lists. pilers m a d e v i r t u a l l y than 0.2 per a p a r t of Diagram 1. The strong similarity b e t w e e n distribution of imprint dates in the three select lists and the distribution of imprint dates of titles circulated is apparent. cence (to) T h e rate of obsoles- m a y be c o m p u t e d f r o m each c o l u m n in Stieg's table and expressed as follows: A (less published cent of the circulation w a s in titles published prior to 1850, i n c l u d i n g even seventeenth and sixteenth c e n t u r y titles. Some of the older titles m a y h a v e been with- d r a w n because of interest in their physical f o r m rather than f o r o r d i n a r y r e a d i n g or O n the other hand, these reference use. rates are closer to those derived from c h e c k i n g of the five l i b r a r y collections, as s h o w n in T a b l e 2. Suggestions for Further The is writer Study conscious of having scratched only the surface of one corner of a vast field. He hopes that he has t u r n e d up a f e w u s e f u l ideas and facts. I t seems w o r t h w h i l e to list some of the possibilities f o r f u t u r e research and practical application. Much of the practical application m u s t a w a i t f u r t h e r research in clarification and s t a n d a r d i z a t i o n of m a n y F o r 1938-39 5.0 per cent F o r 1939-40 4.8 per cent F o r 1940-41 4.9 per cent comparison w i t h 8.1 and 8.4 f o r the supplement. The f o r the S h a w List be accounted foi* in p a r t circumstances. First, the by collec- tion ( " a b o u t 190,000 v o l u m e s " ) is m u c h than the lists and perforce contain m o r e older material. must Second, the instructional p r o g r a m of the college m a y be p l a n n e d to take a d v a n t a g e of resources by provision for use of greater older 9 Stieg, Lewis. " A Technique for Evaluating the College Library Book Collection." Library Quarterly 13:34-44, January 1943. MARCH, 1944 coefficients of obsolescence sented here are by no means final. T h e l o w e r rate at H a m i l t o n f o r circulation m a y larger titles phases. r o u g h mean m a y be taken at 4.9 f o r several for prior to 1850, w h i l e at H a m i l t o n 1 . 2 4 per f o r the data of 1 9 3 8 - 3 9 has been plotted as cent) T h e s e com- no provision preTheir c o m p u t a t i o n has been presented in support and illustration of the m e t h o d . to standardize them by I t remains application to l a r g e g r o u p s of libraries and by f u r t h e r study. W h a t happens w h e n a l i b r a r y does not discard old books is itself a problem f o r f u r t h e r study. B y w h a t c u r v e or l a w the g r o w t h of libraries takes place and w h a t m a y be expected in the f u t u r e , are open questions. Analysis The of writer Collections believes that a powerful tool can be built f o r the analysis of book 123 collections. Heretofore libraries have be examined in the l i g h t of the purposes been compared w i t h respect to size of their of the l i b r a r y . collections and a n n u a l additions or w i t h policy of r e t a i n i n g otherwise obsolete ma- If there is a respect to their h o l d i n g s of specific titles. terial f o r some definite purpose, no f u r t h e r N o w it should be possible to e v a l u a t e in justification is needed. quantitative terms at least one f a c t o r in remembered that the costs of housing and the q u a l i t y c a r i n g f o r the older material can of collections. T h e extent to w h i c h the ( w ) c o m p u t e d for a given library may differ from a g e n e r a l l y accepted s t a n d a r d m a y be taken as an o b j e c t i v e indication of its deviation f r o m the n o r m . rived are pressed no substitute purposes library. If figures or as m a y be defor special policies of a ex- given a l i b r a r y chooses to be difBut the deviation can still be measured. or collection generally accepted in a library standard For example, if with can basis f o r an e v a l u a t i o n or f o r action. New light on many of l i b r a r y collections can be cast by computations from the exponential A n o f f e r of a l a r g e g i f t of older ma- terial can be w e i g h e d w i t h r e g a r d to w h a t be a the corrective in a study of library. I t m i g h t fill in a gap l e f t in the past but, m o r e likely, it w i l l increase the proportion of obsolescent material. And, if same the library f o r comparable libraries is to maintain books and h a v e to be discarding old F o r the college library faced w i t h the necessity of tion f r o m the n o r m . lesser-used portions of the l i b r a r y is ones accelerated. is at least .08, there is an obvious deviaT h e cause f o r this the standards in the f u t u r e , the pace of adding new (a) formula or by simple graphic illustration. will deviation m a y be that administrative problems in the g a t h e r i n g and maintenance finds an (to) of .01 w h e r e a s the g e n e r a l l y figure Problems Administrative its collection of sociology a college l i b r a r y approved legiti- it w i l l do to the present distribution of a C o m p a r i s o n of the ((o) f o r a g i v e n subject be use. f e r e n t and has good reasons, therein lies the justification f o r deviation. it m u s t m a t e l y be chargeable only to this special I t must be remembered, h o w e v e r , that such But deliberate storing or setting aside the its collections, as suggested by m a n y and practiced by f e w , not a d d i n g n e w books in sufficient quan- the f o r m u l a tities and p l a n n i n g w h a t to segregate and in estimat- (b) older material. that it is not discarding If the g e n e r a l l y accepted and rates m a y be used in ing the d e m a n d f o r segregated m a t e r i a l . within A s s u m i n g an (<o) of .05 f o r an entire five years {i.e., the m a x i m u m point on the collection, as suggested by the experience (y0) f o r sociology is f o r t y titles c u r v e as described) and the l i b r a r y only t w e n t y titles at m a x i m u m , has then least part of the difficulty is evident. at I t is at H a m i l t o n C o l l e g e , the h a l f - l i f e w i l l be approximately half of f o u r t e e n years. That the u s e f u l collection w i l l is, be in f a i l u r e to add sufficient n e w material each titles f o u r t e e n years old or less. year. three-fourths of the demand w i l l be f o r B u t if the l i b r a r y has been a d d i n g an Likewise, books less than t w e n t y - e i g h t years old or average of f o r t y titles per year, the slight certainly less than thirty years old. slope of the c u r v e is due to f a i l u r e to dis- average l i f e or l i f e expectancy w o u l d be card older materials. about t w e n t y years. v 124 T h i s failure may COLLEGE AND RESEARCH The LIBRARIES J Titles college over thirty years old libraries comprise of the collection. at in many least half B u t only a small pro- public nonprofit standing and institutions. statement Under- the rate financial probably not more than 10 per cent. contribution t o w a r d terms would be an important the solution of 50 plus 10 per cent, or 6 0 per cent of problem. the collection, m a y account f o r 90 to 95 provide a u s e f u l lever in annual per cent of the demand or circulation. of obsolescence of l i b r a r y book collections in portion are in active or potential demand, Thus of Such i n f o r m a t i o n requests. this should also budget T h e librarian can readily dem- Because the r e m a i n i n g 40 per cent w o u l d onstrate be used so little, these v o l u m e s m i g h t be chased a n n u a l l y to keep his collection up removed to a less accessible place of storage to the standards set f o r it. w i t h v e r y little inconvenience. m i g h t be removed Or f r o m service they entirely how many problem. when total use of the library. of older books. loss of by a pur- to dispose of He must unsold decide inventories H i s editors must decide certainly be w h e n a book needs to be revised or even corresponding in- w h e n a n e w book is needed in a g i v e n use w o u l d / counterbalanced be T h e publisher has other phases of the accounting w i t h a loss of only 5 to 10 per cent of the This titles m u s t crease in efficiency in the use of the l i v e field. Some help in these problems should material come from retained. W i t h i n a library it m a y be desirable to knowledge of the rates of obsolescence f o r various types of book. compare several sections, w i t h a v i e w to A m o n g the m o r e general problems d e t e r m i n i n g relative need for book f u n d s . 1 0 the solution of w h i c h this study m a y make I n b u d g e t i n g d e p a r t m e n t a l purchases it is some contribution is that of the general important rate of c u l t u r a l evolution. many to titles know are approximately required each each subject and to k n o w that how year in replace- to B o o k s repre- sent one of the higher f o r m s of culture and the rate at w h i c h they are discarded ments in such fields as classics are needed and less as to the rate of evolution of the general urgently sciences. than in Conversely, classics m a y claim wisely on spent that certain the the professor money books w i t h of of is more longer life may give some suggestion c u l t u r e of w h i c h they f o r m a part. haps some future investigator Per- with the means and spirit m a y find it possible to compare various c u l t u r e groups in speed expectancy. O n e of the least explored areas of cost a c c o u n t i n g is that f o r public and semi- Coney, Donald. " A n .Experimental Index for Apportioning Departmental Book Funds for a University Library." Library Quarterly 12:422-28, July 1942. 10 MARCH, replaced 1944 of evolution by study of their books. might compare stable and some permanent of the One relatively Oriental groups w i t h the relatively d y n a m i c state in E u rope and A m e r i c a . 125