Clinal Genetic Growth Variation Within Two Douglas-Fir Breeding Zones Roy R. Sileo and Nancy L. Mandel ABSTRACT- Twelve- and ten-year results of progeny tests of 1,275 wind-pollinated families of coastal Douglas-fir (Pseudo­ tsuga menziesii (Mirb.) Franco var. menziesii) are presented along with maps of clinal genetic variation within two breed­ ings zones. Data originate from the two oldest progressive tree-improvement cooperatives, called Vernonia and Molalla. In both, the top 20 percent of the families were 7 percent taller and 15 to 22 percent greater in volume than the mean family. Division of the parent group at the outset into sets of 50 families at Vernonia and 25 families at Molalla revealed that set means differed with origin within the breeding zone. Scattergrams of all parents in each cooperative showed that a downward shift of 1,000 feet in parent elevation, or a 10-mile horizontal shift to the east or north, should provide 5 percent more family height growth. Thus, there was evidence of considerable clinal geographic variation within breeding zones. Jsoheight patterns of clinal variation are complex and three­ dimensional, conforming to major topographic features in each cooperative area. How much genetic variation exists in populations of coastal Douglas-fir? How large a zone should be used for breeding or for seed orchards? New information on both questions is now available from progeny tests begun over a decade ago on 1,275 parent trees. Although a variety of tree improvement programs are used in the Douglas-frr region of Oregon and Washing­ ton, the "progressive" program, jointly sponsored by the Industrial Forestry Association and USDA Forest Ser­ vice research, is by far the most common one (Sileo and Wheat 1979). It is divided into successive phases, in the first of which seedlings from wind-pollinated seed are used to test progeny of very large numbers of parent trees per breeding woe. Subsequent phases with cross­ pollinated seed are not discussed in this article. Most of the progeny testing is done through 19 tree-improvement cooperatives that use the same basic test designs. Hence, there is a broad and keen interest within the Douglas-fir region concerning the outcome of any data analyses involving the two oldest cooperative programs. These are the Vernonia and Molalla coopera­ tives begun in 1966 and 1968, respectively, and named from small Northwest communities which they surround. Analyses of 1978 data from these pioneer programs reveal how much genetic variation other owners might expect to see in their own tests. Also, the computer programs developed to analyze these two programs will probably set most of the procedures likely to be used on other owners' data. Beyond such regional interests is the broader question of defining boundaries and size of breeding zones. As elsewhere a decade ago, the breeding zone of each cooperative was delineated geographically from rather scant ecological information. Can zones now be better determined directly from the progeny tests by mapping genetic variation? Campbell (1980) has recently shown that genetic variation in growth was related in three dimensions, with surprising precision, to the topography in a small valley in the Oregon Cascades. He sampled wind-pollinated parents at a density of about one tree per 100 acres. A lower sampling density of one parent 216/JOURNAL OF FORESTitY/Aprill983 per 400 acres routinely used in the "progressive" pro­ gram might still provide a reasonably useful genetic map to delineate breeding zones. We explore this possi­ bility in the present article. Vernonia and Molalla Programs Topographic data The Vernonia Cooperative embraces an area of fea­ tureless hills west of Portland, Oregon, south of the Columbia River, and mainly east of the summit of the Coast Ranges. Saddle Mountain (3,536 feet) at its south end is the most prominent topographic feature. The Sunset Highway runs through the southern half. About 60 percent of the forestland in the area is owned by the four cooperators. The Molalla Cooperative is in the Cascade foothills southeast of Portland. It lies south of the Clackamas and north of the North Santiam drainages and includes the Molalla drainage. Topography is mainly a gentle slope in the north but with quite dissected, hilly lands in the south. The four cooperators own about one-third of the land within the cooperative" boundary. Statistics about the two cooperative areas are: Vernonia Ownership Elevational range Dimensions Landowners Molalla 350,000 acres 300-2,700 feet 49 by 29 miles Crown Zellerbach LOngview Fibre State of Oregon International Paper Co. -----120,000 acres 900-2,800 feet 43 by 22 miles Crown Zellerbach Longview Fibre State of Oregon Publishers' Paper Co. Progeny test information Details of the test design for each cooperative are: Item Parent trees Progeny tested per family Test sites Sets· Replications per site Vernonia Molalla ----------Number---------­ 900 375 102 12 18 of 50 families 5 on 9 sites 108 9 15 of 25 families 4 2 on 3 sites Progeny per family per replication Progeny in test 2 91,800 3 40,500 Test sites in both programs were chosen to sample forest conditions over the whole breeding zone, span­ ning the range of elevations, sites, aspects, and soil types. Competing vegetation was removed by scarifica­ tion or burning before sites were replanted. Only 3 of 12 Vernonia and 5 of 9 Molalla test sites were fenced against deer. Because serious damage occurred to tWo Vernonia and one Molalla site, the informational loss caused us to delete this data from the analyses. In the Vernonia program . each test site contained progeny of all 900 parents. Similarly, the Molalla pro- gram sites contained progeny of 375 parents. The large number of parent trees per cooperative necessitated breakdown into sets of 50 or 25--small enough to minimize site variation within a set replication of 100 progeny planted at 12-foot spacing. Parent trees in any one set tend to be restricted to a small locality, an important feature in the subsequent analysis. Both cooperatives were initially considered as a logi­ cal single breeding zone with potential for an elevational split. No split was made, however, because parent trees in each were mainly from a central I ,000-foot band with small fractions located higher or lower. Three parent trees were chosen per 1,000 acres of ownership. The progeny test was designed to minimize overall cost while providing a strong test of the parent performance over all sites. A strong family test on any site was purposely foregone. Many sites were used to assure a good sampling of the management conditions over the whole breeding zone and, in addition, to permit a strong stability test of performance trends of those families that excelled on either good or poor sites. Analysis information Data were taken in the field on standardized forms. We performed the analysis under arrangements in which computer costs were financed by landowners through an acreage assessment. Computer programs developed for this analysis are to be used later to process data from other cooperatives. Each landowner in these two coop­ eratives received printouts of the following analyses: Rankings: Family performance within each set was ordered by height and diameter on individual sites and over all sites. Analysis of variance and least significant differ­ ences (LSD): Significance of differences was tested for family performance by site and over all sites. Families exceeding LSD from set means were noted in an array. Correlation matrix: For each set, correlation coeffi­ cients of family heights were calculated between every possible pairing of sites to assist in judging of data from damaged sites. Eberhart-Russell ( 1966) stability analysis: This anal­ ysis identifies families that perform well only on high or on low sites, in contrast to the "stable" families that do well on any site. (Results for individual families are too detailed for presentation in this article.) Scattergrams: Family mean heights over all.sites and correlation statistics were plotted over parent tree elevation, latitude, and longitude. . Response surfaces: A stepwise multiple regression was · performed of family mean heights on parent elevation, latitude, and longitude. The expected fam­ ily heights were calculated for the center of the I ,640-foot square area in which one or more parent trees were located. Isoheight lines provided a map of genetic variation over the cooperative ownership. Parent Rankings and Analysis of Variance The magnitude of average family height differences over all sites at age 12 and 10 years is shown for each set in tables 1 and 2. Statistically each of the 33 sets in the two cooperatives is independent, hence is listed sepa­ rately for average and range as well as average height of the top 20-percent component. For example, set 1 of the Table 1. Vernonia test mean heights and variation, by sets of 50 families. Parents In each set are located within a rectangular area of dimensions shown. TOP 20 PERCENTOF FAMILIES GROWTH SUPERIORITY Range Mean In In Dimensions Mean height height height volume Miles - - - - - - - - Feet- - - - - - - ---Percent--­ 12-YEAR DATA 14.14 12.66-16.041 15.55 10.0 28.4 2 1 2 X 1 13.91 9.94-15.84 15.02 8.0 11.9 2 8 X 5 15.58 6.5 20.4 3 2 X 3 14.07 12.50-15.58 13.88 12.37-15.78 14.89 7.3 13.4 4 5 X 9 13.61 12.23-14.86 14.53 6.7 26.7 5 1 X 2 13.61 12.01-15.22 14.69 8.0 34.0 6 12 X 10 7.6 22.5 MEAN 5 X 53 13.87 11.94-15.55 14.92 10-YEAR DATA 9.41-12.79 7.9 15.6 11.61 7 8 X 11 10.76 6.7 21.4 11.48 10.76 9.18-11.74 8 12 X 15 9.58-11.64 11.28 6.5 21.0 9 3 X 4 10.60 6.9 25.4 10 6 X 11 10.86 9.61-12.40 11.61 8.92-11.74 11.15 11 9 X3 9.3 24.6 10.20 8.92-11.09 10.92 7.8 44.2 12 3 X 11 10.14 9.02-11.64 10.86 8.2 19.0 13 5 X 2 10.04 6.4 14.8 14 5 X 1 8.63-10.73. 10.43 9.81 11.45 8.4 19.7 10.56 9.23-12.07 15 11 X 2 8.~10.92 10.59 6.6 14.8 9.94 16 23 X 2 10.40 8.6 18.6 9.58 8.13-10.73 17 23 X 4 8.53-11.38 10.53 9.2 20.7 9.64 18 46 X 7 11.02 1.7 21.9 MEAN13 X 6 10.23 9.02-11.38 Set ALL FAMILIES 1 Top families are significantly different (p = 0.05) tram· mean families in all 18 sets. · 2 Family volume calculations assumed conical cross sections. Diameter for each family ·was estimated from data on similar sized trees in plots near .• Corvallis, Oregon. 3 A1'9rage sets N-S and E-W dimension. Sets 1-6 c01'9r a 12- x 16-mile, and 7-18 a 49- x 29-mi/e area. Table 2. Molalla test mean heights and variation, by sets of 25 families. · TOP20PERCENTOFFAMIUES GROWTH. SUPERIORITY Dimensions Mean Range Mean In In height height height volume Miles --------Feet------- ---Percent--­ 10-YEAR DATA 7.4 16.0 1 B X 11 10.63 8.89-11.64 1 11.41 18.0 8.1 10.76 2 3 X 6 9.94 8.53-11.19 18.6 3 7 X 9 10.33 9.55-11.64 11.22 8.6 4 4 X 5 10.40 9.45-11.91 11.19 7.6 18.4 11.22 8.2 18.6 5 2 X 4 10.37 9.51-11.87 6 5 X 4 10.86 9.15-11.94 11.55 6.3 14.9 11.22 10.27-13.15 7.6 16.4 7 2 X 4 12.07 5.7 12.7 11.42 10.5Q-12.60 12.07 8 11 X 14 12.1 12.10 5.7 9 6 X 13 11.45 10.6Q-12.20 6.5 14.8 10 1 X 2 12.83 12.04 11.19-13.02 7.3 16.2 11 9 X 3 10.79 9.74-11.74 11.58 11.68 8:5 19.0 12 2 X 4 10.76 9.25-11.94 11.48 10.37-12.37 12.17 6.0 14.1 13 1 X 2 5.8 13.3 11.38 10.69-12.73 12.04 14 1 X 4 11.02 7.7 1.5 2 X 3 10.23 8.95-11.61 15 2 7.1 15.0 MEAN 4 X 6 10.89 9.77-12.10 11.64 Set ALL FAMILIES 1 Top tamUies are significantly different (p = 0.05) from mean families in all but sets 4, 9, and 10. 2 A1'9rage dimensions of sets 1-15. All 15 sets c01'9r a 43- x 22-mile area. Vernonia Cooperative shown in table 1 consists of 50 12-year-old families which range from 12.7 to 16.0 feet, and have an average height over all sites of 14.1 feet. Like all the sets in table 1 , top · families in set 1 are statistically different from the set mean. Also listed is an average height of 15.5 feet for the top 20 percent, a April 1983/JOURNAL OF fORESTRY/217 ~- difference of 10.0 percent in height and 28.4 percent in volume from the 14.1-foot average family in set 1. Lastly, the parents are within a rectangle 2 miles from north to south and 1 mile from west to east. Genetic variation of these 1,275 families (tables 1 and 2) deserves a more detailed inspection than space permits. Main interest of cooperators is the genetic variation displayed by the top 20 percent of families in each set. Practically, this selected group may approxi­ mate the balance desired between keeping a large ge­ netic base and achieving a reasonable selection intensi­ ty. In the average set, the top 20-percent group is about 7 percent taller and has 15 to 22 percent more volume than the average family. The two questions posed at the beginning of this article arose from observing the large variation of family averages from set to set. For example, in the 10-year Vernonia sets 7-18 (table 1), set 10 averages 10.9 feet or 5 percent taller and set 17 averages 9. 6 feet or 6 .4 percent shorter than the overall average of 10.2 feet-a range of 11.4 percentage points. The most striking case, however, is the comparison of sets 2 and 10 in the Molalla Cooperative (table 2). The sets differ by 19.2 percentage points. Over all sites, the tallest family in set 2 attained only the same average height as the shortest family in set 10-11.2 feet. The top 20-percent group in set 2 (10.8 feet) is shorter than the average of nine other sets. The top 20-percent group in set 10 (12.8 feet), however, exceeds the height of the tallest family in 13 of the 15 sets! In fact, the average tree in set 10 exceeds the tallest tree in nine other sets. All parent trees in set 10 occur on a 2-square-mile area. The concentration of tall or short families in certain geographic locales is investigated more thoroughly in subsequent sections of this article. Other results deal with the large variation among planting sites and the comparisons between heights three years ago and now. This tabulation illustrates planting site variability: AVERAGE FAMILY HEIGHT Site Best Average Poorest Vernonia Molalla - - - - - - - Feet - - - - - - ­ 17.45 15.45 10.70 10.89 4.79 5.87 The major factor in this threefold difference is dam­ age by frost and animals at the poorest sites or use of a formerly plowed field for the best. Even the best grow­ ing families on the poorest sites grew far below the average height over all sites. The main information from the analysis of variance is that all the Vernonia sets and 12 of the 15 Molalla sets had significant family differences, indicating that even the frugal statistical design of the test has met expecta­ tions. Family Height l'ersus Parent Tree Origin Indications of clinal genetic variation within the two breeding zones led to production of scattergrams of family height versus parent tree elevation, latitude, and longitude. The linear regressions are shown in figure 1. The indicated geographic effects on 10-year height in Vernonia and Molalla tests are: Progeny are 5.9 (Vernonia) and 6.3 (Molalla) inches taller per 1,000 feet lower elevation of parents. 218/JOURNAL OF fORESTRY/April 1983 Elevation ::E "'iii 360 ~ ~ :r . 300 0.. 260 > 1: longitude ~ . ~ 1000 Feet 2000 ~·''-121 -­ ~ ~ 0 -;.­ Latitude ~ .<: r- 0 10 20 30 Minutes 40 0 10 20 30 40 Minutes Figure I. Regressions of average family height over all test sites on elevation, latitude, and longitude. The indicated genetic effect is about lh-inch more progeny height as parent trees occur one mile nonhward or eastward or 100 feet lower in the two breeding zones. With 375 and 600 parent trees as a data base, the difference from zero slope is beyond the 1-in­ 100,000 level of significance. Proportion of variance explained by regression (? values) is shown in parentheses. Progeny are 0.45 and 0_29 inch taller per mile northward location of parents. Progeny are 0.58 arid 0.44 inch taller per mile eastward location of parents. A seed source shift of 1,000 feet downward or 10 miles northward or eastward would be accompanied by a 5-percent increase in progeny height. Some sets from low elevations in northerly or westerly parts of both cooperatives have particularly high numbers of tall fami­ lies (sets 7-10 in Vernonia and 9-10 in Molalla). Conversely, those at south, east, or higher locations have a high proportion of short families (sets 14, 17, and 18 in Vernonia, and 2, 3, and 15 in Molalla cooperatives). . With such large numbers of families, the linear ef­ fects shown infigure 1 turn out to be different frorn zero slope beyond the 0.00001 level of statistical signifi­ cance. This constitutes a strong indication, if not proof, of clinal genetic variation within two relatively small geographic areas in northwest Oregon. Both latitudinal and longitudinal effects are confounded by elevational differences, however. Questions arise as to what the detailed pattern of geographic genetic variation may be. Of more importance is how much of the growth superi­ ority attributable to the position of a parent within the breeding zones can safely be used in a tree improvement program. Detailed Mapping of Genetic Variation The simplest approach to providing detailed patterns of inherent growth rates would be to record the mean family height i.wer all sites at the coordinate location of each parent, then draw isoheight contours in the same way a topographic contour map is made. An improve­ ment we .tried was to reduce tree-to-tree variation .bY pooling several neighboring parents to produce an aver­ age height for a small locale. Such preliminary maps for both cooperatives did show surprising conformity with topography in many localities. We next smoothed family variation by a stepwise regression that produced expected family average heights for each 1,640-foot square containing one or more parent trees. Then contoUr lines of isoheights were drawn as was done earlier. by Campbell (1980). The stepwise regression on family average heights included only the contributions of latitude, longitude, and eleva­ tion, their products and their squares, that were signifi­ cant at the 0.05 level. The two regression equations are noted in figure 2. The major effect iii both was from latitude, which accounted for about three-fourths of the 30- to 36-percent total variation ex­ plained by the regression surfaces. The Vernonia 12- and 10-year height data had many more missing entries than the Molalla data, and similar procedures produced no correspond­ ingly fine isoheight detail. The Vernonia data on average family growth between years 7 and 10 are not as much affected by early envi­ ronmental variation, and did provide a topography-related map of genetic variation. The two maps of figure 2 show the isoheight bands for each cooper­ ative area. The maps are noteworthy in having many parallel bands of isoheights that imply uniform gradi­ ents of geographic genetic change in growth rate. Are these patterns re­ lated to topography and in turn to environmental gradients? The iso­ lines obviously follow the general v2~ 6.81><]0_,1-2 - s.3s·ro·''-£ landform in many instances, espe­ + 1.10~JO~E'+4.40~10. D£ cially where parent tree sampling - 2.31•10.' D'- 586 was dense. Unfortunately, there are large unsampled areas on each map L.• FMENT l.ATffiiDE IN 'fWI. (MII..IlN?I' 6R'ID,) W~ERE. Yt=ffiEDICTW HEIGHTG~ E3E1WEEN 7AN.D 10 YEAR'5 IN CM. D• FAA00"" l.ONGrTIJDf IN I(M.(MIUP.RY bi?IP,) outside the cooperative ownership. Yt= PR'I'DICTW 1UIN.. HEIGHT" AT 10 ~ EO=~ £!£VATION IN ME-TER; For the Vernonia Cooperative, we INCM. noted that parents with slowest in­ Figure 2. lsoheight maps of family height. lsoheights are shown as percentage herent growth fringed the Willamette deviations from overall mean family height in each cooperative area. Predicting Valley and extended northward into equations are given below each map. the upper Nehalem drainage to Vernonia. Parents expressing the best inher­ occasional. places where distinct banding occurred be­ ent growth lay in two bands at the summit of the tween them, but a large portion of the area in the flanking hills to the west and to the northeast of the southern half followed a latitudinal rather than an valley. The isoheight banding from best to poorest elevational pattern. growth rate was regular and parallel through the hills Some Implications west of the upper Nehalem-an expression of clinal genetic variation. There was also a large expanse of The substantial differences between average and best parentage displayed in these progeny tests should not be parents expressing fairly rapid growth on the Columbia slope at the north end of the cooperative area. A interpreted as genetic gains to be applied in future yield particularly striking example of geographic variation is a calculations. We are reporting on genetic differences group of 60 parents from a 3-mile-square area east of among small, open-grown tree families, averaging about Saddle Mountain, all of which grew at relatively slow 10 feet tall and 2 inches in d.b.h., growing mainly rates. A 15-percent range of geographic variation is without tree competition on prepared and usually pro­ shown in figure 2. tected sites on gentle topography. Their growth curves For the Molalla Cooperative, consistently better than are still changing rapidly. Such data can hardly apply to mature, fully stocked forests growing on all kinds of average growth was expressed by families from the northern half of the cooperative area. Again, the pattern topography. was complex. In the northwest quadrant, best inherent Still the inherent growth differences seen in tables 1 growth was indicated for parents from elevations below and 2 are reassuring to the landowners who have in­ 1,300 feet at the base of the Cascade slope, with vested in the program. Under concepts that Were current successively slower growth bands upslope to about 1,800 a decade ago, the programs have met expectations. The feet. Above 1,800 feet, the inherent growth increased test design was adequate, and an array of computer again up to 2,400 feet, where some of the best parents programs is now available for prompt analysis. A large number of parent trees are tentatively identified for were located. For the southern half, the slowest growth of all was by progeny of parent trees fringing the superior growth of their progeny in both cooperatives. Willamette Valley at low elevations. Better growth again Some are displaying superiority on good or on poor occurred on trees from 2,200 to 3,000 feet. There were sites. Crossing programs among parent trees were started a decade ago and are continuing under various breeding concepts that will place increasing dependence on this THE AUTHORs-Roy R. Sileo is genetics project leader, Forestry Sciences Laboratory, Pacific Northwest Forest and Range Exper­ kind of data. iment Station, USDA Forest Service, Corvallis, Oregon 97331. The data have also provided a preliminary look at Nancy L. Mandel is project mathematical statistician. direct mapping of genetic variation as a basis of refining 6 April 1983/JOURNAL OF fORESTllY/219 breeding zone boundaries. Even with data from such small progeny trees, it is clear from the clines in figure 1 that the breeding zones are not genetically uniform. About 30 percent of the total genetic variation appears to be attributable to such geographic variation. Figure 2 is clear confirmation of a three-dimensional clinal genetic variation that conforms to general land­ forms as first shown in Campbell's (1980) study. The detail of the topographic fit is not as good as he demonstrated with a highly controlled experiment and parent tree sampling four times as dense as in our sampling. Yet our isoheight maps from commercial progeny tests clearly reflect main topographic features, in several cases with remarkable fidelity. The maps further suggest that genetic isoheight contours might actually have been even more detailed, if parent tree sampling had been as dense and uniform as in Camp­ bell's study. But without such speculation, delineation of breeding zone boundaries directly from our progeny test data appears practical even at the parent tree density sampling routinely used in the progressive program. Finally, the data suggest that much of the genetic variation within the breeding zones is actually racial or geographical. The most asked question about such a detailed clinal variation pattern in inherent growth is "why?" The cooperative plots are simply not designed to provide an answer. At best the genetic gradients might be shown to relate to climatic and other environmental gradient pat­ terns, but climatic data in the two cooperative areas are too sparse for such detailed analyses. Hence, we can only speculate. Our most plausible speculation is related to relative growing season length in various locales. Areas that have evolved inherently slow-growing populations, such as those fringing the Willamette Valley, have growing seasons truncated by early onset of summer drought, often by mid-June. Best inherent growth rates have evolved at low elevations in relatively moist locales with generally deep soils, or alternatively on broad ridgetops also with heavy rainfall and deep soils. By comparison with the average, such locales may provide moisture for growth longer into the droughty summers typical of western Oregon. Similar hypotheses that inherently su­ perior growth occurs in areas of optimum environment have been proposed for slash pine (Squillace 1966). Whatever the reason, the present data and particularly Campbell's (1980) data suggest a surprisingly high genetic precision in the ability of natural populations to fit local environments. The finding of such a detailed pattern of racial variation within breeding zones raises a confusing prob­ lem for the geneticist. How should three-dimensional clinal variation be handled in a genetic program? A more immediate and practical problem arises in the two cooperatives. Because a disproportionate number of top parents originate from a few locales, landowners of these favored locales may have little enthusiasm for using a standard improved seed from parents elsewhere in the cooperative. For example, the average family of the set-10 area in the Molalla Cooperative is superior in growth rate to the tallest family in most other sets. In contrast, a seed mix for the entire breeding zone, made up strictly of parentage from a tallest fraction of all families, might be of concern to landowners of the (Continued on page 227) 220/JOURNAL OF fORESTllY/April 1983 Whole-Tree Utilization System for Thinning Young Douglas-Fir Jerry J. Kammenga ABSTRACT - The Washington State Department of Natural Resources is commercially thinning naturally established 40-year-old Douglas-fir (Pseudotsuga menziesii) stands which were once considered too small to be merchantable. Efficient, cost-effective thinning is accomplished by whole-tree chipping in the woods. The logging system includes a portable chipper, a chain-flail delimber, two rubber-tired grapple skidders, and three rubber-tired or tracked tree-to-tree feller-bunchers with accumulators. This system provides total utilization of the harvested material. An average of 100 to 125 green tons of· pulp chips with less than 7-percent bark can be produced in an eight-hour shift. Approximately 1,000 stems per acre, averaging 4 inches in diameter at breast height, are removed to leave 200 of the best trees. This stocking gives adequate growing space and provides operational maneuverability. The feller-buncher operators are trained to select trees by follow­ ing rules that describe leave trees. Stand damage can be kept within acceptable limits, preferably under 5 percent of the leave trees, by requiring prelocated skid trail systems and rub trees. Successful tree selection and avoidance of stand dam­ age depend upon operator cooperation. The Washington State Department of Natural Re­ sources manages 30,000 acres of young naturally estab­ lished Douglas-fir near Hood Canal in Mason County. In the average stand, the trees are about 40 years old and mixed with some lodgepole pine. Stocking varies from 800 to 1,200 stems per acre, and d.b.h. from 2 to 12 inches. Dominant trees average 80 feet in height, basal area is 155 square feet per acre, and total stem volume is 5,000 cubic feet per acre. The trees grow on shallow, glaciated gravel soil presently classed as 100 (class III) on a 50-year site index. The depth above the hardpan is 18 inches. This thin soil causes severe root competition and grafting. Growth rates are slowing. In 20 years, total wood fiber production will be an estimated 16 percent (site index 90-dass IV equivalent) below po­ tential unless measures are taken to provide growing space. The dominants still have sufficient crown to respond to management. Field observations of a 1976 fertilization show imme­ diate growth rate changes from 16 to 10 rings per inch for a broadcast application of 200 pounds of nitrogen per acre. An economic analysis indicates that the management of these stands can increase their present net worth by 70 percent. At an 8-percent rate of return over 20 years, a present net worth of $1 ,450 per acre increases to $2,450 per acre with thinning and fertiliza­ tion. A low-investment thinning is needed to maintain the present growth rate and to concentrate this growth on the best trees. This article reports an operational case study con­ ducted with these purposes: • To determine the adaptability of readily available CJ983 SOCIETY OF AMERICAN fORESTEllS As can be seen m table 1, the diameters and volumes may appear to skew to the right (skewness > 0) and may not have the proper peakedness (kurtosis -=/=- 3.0); how­ ever, the deviation from the normal distribution is not significant at the 5-percent level. Other even-aged pure stands may not deviate signifi­ cantly from the normal distribution, and therefore can also benefit from our procedure. Some uneven-aged or mixed stands may follow a reverse J-shape or other form of the Weibull function (Bailey and Dell 1973) but still have a high correlation between diameter and volume (Moser and Hall 1969, Embry and Gottfried 1971). In such stands the linear regression estimator is still the best among other estimator's (such as the ratio estimator, stratified sampling estimator, and PPS estimator) in volume estimation with the auxiliary variable d.b.h. for a sample size of four (Ek 1971). Therefore, our proce­ dure can still be useful. Our estimate should still be better than the standard regression estimate. However, the optimal spacing in rank among selected trees in the second phase of double sampling within a nonnormal population needs further study. Because positive transformations in d.b.h. do not change the ranking of trees by diameter, basal area or other functions of d.b.h. are not needed for ranking, even though the regression model may fit better by the transformation of d.b.h. If the correlation between vol­ ume and d.b.h. is already high, little can be gained from transformations. For example, the correlation be­ tween diameter and volume among our 100 trees was 0.9756, and the correlation between basal area (calcu­ lated from diameter) and volume was 0.9897. The Improvement in precision due to use of basal area over use of d.b.h. in the regression model was of little practical value. Our procedure is not limited to volume estimation alone. Any forest measurement which has a high corre­ lation and a high cost ratio with the diameter measure­ ment can benefit from the procedure. Detailed biomass studies on high-quality hardwood trees (Schneider 1973) can be expensive. The extremely high cost ratio would make our procedure attractive. Fortunately, a high corre­ lation between biomass and d.b.h. (Baumgras 1980, Wiant et al. 1977) ensures the superiority of the regres­ Sion estimator. Other studies, such as those of foliar dry weight (Rogers and Hinckley 1979), branch weight, and branch leaf weight (Ek 1979), could also use our proce­ dure to reduce sampling costs. Another example: in the first phase of aerial photo inventories, volume estimations are made, then all plots can be ranked according to their volume. Plots selected during the second phase are measured directly. Regres­ sion estimates are computed for all samples and for data subsets with one-at-a-time omission. Finally, the confi­ dence interval is calculated by the jackknifing method. • Literature Cited BAILEY, R. L., and T. R. DELL. 1973. Quantifying diameter distributions with the Weibull function. For. Sci. 19:97-104. BAUMGRAS, J. E. 1980. Biomass yields from Allegheny hardwood thinning. USDA For. Serv. Res. Pap. NE-466, 7 p. COCHRAN, W. G. 1977. Sampling Technique. Ed. 3. John Wiley and Sons, New York, N.Y. 428 p. DUNCAN, G. T. 1978. An empirical study of jackknife-constructed confidence regions in nonlinear regression. Technometrics 20:123-129. DURBIN, J. 1959. A note on the application of Quenouille's method of bias reduction to the estimation of ratios. Biometrika 46:551-558. EK, A. R. 1971. A comparison of some estimators in forest sampling. For. Sci. 17:2-13. EK, A. R. 1979. A model for estimating branch weight and branch leaf weight in biomass studies. For. Sci. 25:303-306. EMBRY, R. S., and G. J. GOTTFRIED. 1971. Height-diameter equations for Arizona mixed conifers. USDA For. Serv. Res. Note RM-191, 2 p. HUMMEL, F. C. 1951. Instruments for the measurement of height, diameter, and taper of standing trees. For. Abs. 12:261-269. MILLER, R. G. 1974. The jackknife-a review. Biometrika 61:1-15. MosER, J. W., and 0. F. HALL. 1969. Deriving growth and yield functions for uneven-aged forest stands. For. Sci. 15:183-188. O'CONNELL, M. J., and H. A. DAVID. 1976. Order statistics and their concomitants in some doubling sampling situations. P. 451-466 in Essays in Probability and Statistics. S. Ikeda, et al. (eds.) Shinko Tsusho, Tokyo, Japan. 716 p. QUENOUILLE, M. H. 1965. Notes on bias in estimation. Biometrika 52:647-649. RAo, J. N. K. 1968. Some small sample results in ratio and regression estimation. J. Ind. Stat. Assoc. 6:160--168. RAO, J. N. K., and J. WEBSTER. 1966. On two methods of bias reduction in the ·estimation of ratios. Biometrika 53:571-577. ROGERS, R., and T. H. HINCKLEY. 1979. Foliar weight and area related to current sapwood area in oak. For. Sci. 25:298-303. SCHNEIDER, G. 1973. Biomass and macro-nutrient content in a 31-year-old black walnut plantation. Mich. Academician 2:33-42. WIANT, H. V., C. E. SHEETZ, A. C. COLANINO, J. C. DEMoss, and F. CASTANEDA. 1977. Tables and procedures for estimating weights of some Appalachian hardwoods. W.Va. Univ. Agric. and For. Exp. Stn. Bull. 649T, 36 p. YANG, Y. C., and W. J. YANG. 1955. Volume estimation from sample trees. J. Taiwan For. 1(2):3--17. THE AUTHORs--Yong C. Yang is professor, Department of For­ estry, National Taiwan University, Taipei, Taiwan 107, Republic of China. Fan H. Kung is professor, Department of Forestry, Southern Illinois University, Carbondale 62901. Clinal Genetic Growth Variation within Two Douglas-Fir Breeding Zones (from page 220) remainder of the cooperative area. Such parentage would come mainly from sites with a more mild and moist mtcroclimate or with a longer growing season than the planting site. Since growth and hardiness are usually mversely related, there is concern that the seed mix may not be hardy enough for areas with severe microcli­ mates. Such risks of maladaptation are much more dtfficult to assess than benefits from improved inherent growth rates, though no less important. Fortunately, enough genetic variation is displayed within the sets, even from small localities, that a good tree improvement program could continue, if need be, Without using the racial component. For example, 12 of the 33 sets that cover areas of less than 10 square miles have little more genetic variation than the 12 sets whose parents range over 50 or more square miles. Such data assure the landowner that a program will be productive even if parentage is strictly local. Ten-year data uncover many questions without solv­ ing them. Fifteen-year data may reduce or even settle many present uncertainties. Meanwhile, the prospect of directly delineating breeding zones from genetic data appears to be an important bonus from the large parent tree base used in these programs. • Literature Cited CAMPBELL, R. K. 1980. Genecology of Douglas-fir in a watershed in the Oregon Cascades. Ecology 60: I ,036--1,050. EBERHART, S. A., and W. A. RUSSELL. 1966. Stability parameters for comparing varieties. Crop Sci. 6:36--40. SILEN, R. R., and J. G. WHEAT. 1979. Progressive tree improvement program in coastal Douglas-fir. J. For. 77:78-83. SQUILLACE, A. E. 1966. Racial variation in slash pine as affected by climatic factors. USDA For. Serv. Res. Pap. SE-21, 10 p. Apn] 1983/JOURNAL OF FORESTRY/227