PRODUCTION MCI-MINES AND WEATHER FACTORS ON MAPLE SAP AN) SUGAR YIELDS IN A CENTRAL MICHIGAN WOODLOT ' Than” the Degree '0'} Ph. D, ' MICHIGAN STATE UNIVERSITY . Bingham Maren: C001 .1957 . A x ; Rizal-419% THESIS (A): —3= N; to: 00; fig 0—,— N=‘ 01; NE (0% (NE (og- OLE \ a.) _ If” This is to certifg that the thesis entitled An Investigation of the Effect of Some Production Techniques and Weather Factors on Maple Sap and Sugar Yields in a Central Michigan Woodlot presented bg Bingham M. Cool has been accepted towards fulfillment of the requirements for _Bh.11._ degree in _Eor_e_st1y_ A it"): n24 ,MT‘“ Major professor Date—lulLlQ.._1L 0-169 5: #40"! was E 1‘ :Lii‘fiab»2’ A egg W53" 'J W " ' ' .-.._t APR_ 2 5 ma , M f, ‘5 .wf h “6’ 7 a W ABSTRACT AN INVESTIGATION OF THE EFFECT OF SOME PRODUCTION TECHNIQUES AND WEATHER FACTORS 0N MAPLE SAP AND SUGAR YIEDDS IN A CENTRAL MICHIGAN WOODLOT A study of some of the aspects of maple sap production was undertaken at Michigan State University. The experimen- tal area was approximately six acres of a sixty-eight acre woodlot on the campus. A total of 168 buckets was hung on 120 trees each year for four years. Daily sap weights and sugar per cent (total Brix) were recorded for each taphole. Sap and sugar yields were analyzed statistically for various treatments as follows: Twelve trees had taps at one, two, and three feet. The one-foot tapholes were occasionally covered with snow and remained frozen, producing significantly lower yields. No significant differences were found between two- and three-foot taps. Twenty-four trees were tested each year with random pairs of four Spout designs. No significant differences in yield of sap or sugar were found. Forty-eight one-bucket trees were used each year to test tapping depths of two, four, and six inches. Somewhat inadequate results have been interpreted as indicating that any gain from increased tapping depth over two inches would be too slight to offset the additional labor and damage to the trees. Thirty-six one-bucket trees were used each year to test taphole diameters of three-eighths, seven-sixteenths, eleven-sixteenths, and fifteen-sixteenths inches. Differ- ences in yields due to taphole diameter were not statis- tically significant. For some of the preceding experiments plastic bags were substituted for metal buckets to catch the sap. Each year the yields from.those trees with bags and those with buckets showing no complicating features were analyzed for differences due to type of container. No significant dif- ferences were demonstrated. However, each year the yield from.the plastic bags exceeded that from.the buckets. All of the experiments had tapholes randomized over the four cardinal compass quadrants. Any that showed no obvious bias due to other factors were combined to test dif- ferences in yields due to compass position. For one year of the four the taps in the north quadrant produced highly sig- nificantly less sap than the other three sides. The differ- ence was not sufficient to justify avoiding the north side at the risk of concentrating taphole damage in the other quadrants. Eighteen trees of approximately seventeen inches in diameter were included in these experiments--nine having two tapholes and the other nine only one. Similarly, sixteen trees were found that were approximately twenty-one inches in diameter, with eight having three buckets and eight having only two. The yields from.these trees were analyzed for four years for differences due to additional tapholes in trees of a given size. The differences were not statisti- cally significant. Daily temperature and humidity data were gathered on the experimental area. These were supplemented by other weather observations obtained from the Weather Bureau. An attempt was made to relate these factors to daily sap flow and total yield. The relationship between maximum daily temperature and sap flow was very close. Examination of the rest of the weather data failed to disclose any significant trends or correlations. - 1L1 Approved: 4/; kré’égéb C2 éév/ T‘. D. Stevens Major Professor AN INVESTIGATION OF THE EFFECT OF SOME PRODUCTION TECHNIQUES AND WEATHER FACTORS ON MAPLE SAP AND SUGAR YIELDS IN A CENTRAL MICHIGAN WOODLOT By Bingham Mercur Cool A THESIS Submitted to the School for Advanced Graduate Studies of Michigan State University of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Forestry 1957 ACKNOWLEDGEMENTS The author wishes to express his appreciation to the following men whose invaluable assistance made this work possible: To Dr. T. D. Stevens who was responsible for the ad- ministration of the research project and, as chairman of the guidance committee, gave freely of his time and experience in guiding the graduate program. i To Professor P. W. Robbins who, as project leader, was responsible for the planning and supervision of the field work. To the Agricultural Research Service of the United States Department of Agriculture, Philadelphia, Pennsylvania, which, under Cooperative Research Project Number A-ls-33h59, provided the funds which made this project possible. To Dr. W. D. Baten for his assistance with the statis- tical design and analysis. To Jerry Williams, graduate research assistant, who selected and classified the trees and recorded the data for the 1953 and the l95h maple sap seasons. To Dr. L. M. Turk, Dr. W. B. Drew, and Dr. L. M. James for their contributions as members of the author's guidance committee. TABLE OF CONTENTS CHAPTER I. II. III. IV. VI. INTRODUCTION . . . . . . . . . . . . . . . . LOCATION AND DESCRIPTION OF THE EXPERIMENTAL AREA . . . . . . . . . . . . . . . . . . . PROCEDURE . . . . . . . . . . . . . . . . . Application of Treatments . . . . . . . . Experimental Design . . . . . . . . . . . HEIGHT OF TAPHOLE FROM GROUND . . . . . . . Review of Literature . . . . . . . . . . . Experimental Procedure . . . . . . . . . . Results and Discussion . . . . . . . . . . Conclusions . . . . . . . . . . . . . . . SPOUT DESIGN . . . . . . . . . . . . . . . . Introduction . . . . . . . . . . . . . . . Experimental Procedure . . . . . . . . . . Results and Discussion . . . . . . . . . . Conclusions . . . . . . . . . . . . . . . DEPTH OF TAPHOLE . . . . . . . . . . . . . . Introduction . . . . . . . . . . . . . . . Review of Literature . . . . . . . . . ... Experimental Procedure . . . . . . . . . . Results and Discussion . . . . . . . . . . Conclusions . . . . . . . . . . . . . . . PAGE 11 11L 11L 15 17 20 21 21 22 2h 26 27 27 28 30 31 31+ CHAPTER VII. VIII. IX. X. XI. DIAMETER OF TAPHOLE . . Introduction . . . . Experimental Procedure Results and Discussion Conclusions . . . . . TYPE OF CONTAINER . . . Introduction . . . . Experimental Procedure Results and Discussion Conclusions . . . . . COMPASS POSITION OF TAPHOLE Introduction . . . . Review of Literature Experimental Procedure Results and Discussion Conclusions . . . . . NUMBER OF TAPHOLES PER TREE Introduction . . . . Review of Literature Experimental Procedure Results and Discussion Conclusions . . . . WEATHER AND SAP FLOW . Introduction . . . . iv PAGE 36 36 38 Al LB 15 45 50 52 52 55 55 56 58 59 63 61L 6h 65 66 67 68 70 7O CHAPTER PAGE Literature Review . . . . . . . . . . . . . . . 71 Experimental Procedure . . . . . . . . . . . . . 73 Results and Discussion . . . . . . . . . . . . . 77 Conclusions . . . . . . . . . . . . . . . . . . 87 XII. CONCLUSIONS AND RECOMMENDATIONS . . . . . . . . . 88 Conclusions . . . . . . . . . . . . . . . . . . 88 Recommendations . . . . . . . . . . . . . . . . 89 LITERATURE CITED . . . . . . . . . . . . . . . . . . . . 93 APPENDIX . . . . . . . . . . . . . . . . . . . . . . . . 98 Analysis I-—Height of Taphole and Compass Position . . 98 Analysis II--Spout Design and Compass Position (h Years Combined) . . . . . . . . . . . . . . . . . 99 Analysis III-~Depth of Taphole and Compass Position 1956 Season . . . . . . . . . . . . . . . . . . . . 103 Analysis IV--Taphole Diameter and Compass Position (1953 & 1955 Combined) . . . . . . . . . . . . . . . 106 Analysis V--Taphole Diameter and Compass Position (195A & 1956 Combined) . . . . . . . . . . . . . . . 109 .Analysis VI--Type of Container (1956 Season) . . . . . 112 '.Ana1ysis VII-~Compass Position (Combined Data from 3 Experiments) 1956 Season . . . . . . . . . . . . . 116 .Analysis VIII-~Number of Buckets Per Tree (Four Years Data Combined) . . . . . . . . . . . . . . . . 118 LIST OF FIGURES FIGURE 1. Baker Woodlot Type Map . . . . . . . . . . 2. Recording Rain Gages Adapted for Sap Collecting . . 3. View of Experimental Area Showing Weather Shelter and Rain Gages . . . . . . . . . . . . . 4. Yield of Maple Sugar by Height of Taphole . 5. Spout Designs Compared for Yield . . . . . 6. Yield of Sap by Spout Design . . . . . . . 7. Yield in Pounds of Sap by Depth of Taphole 8. Oversize Spouts Turned from Aluminum.Rod (A and Standard Spout (C) . . . . . . . . . 9. Diameter of Taphole and Maple Sap Yield . . 10. Plastic Sap Bag . . . . . . . . . . . . . . 11. Metal Sap Bucket with Snap-on Cover . . . . 12. Emptying Sap Bag into Collecting Pail . . . 13. Mean Yield of Maple Sap by Type of Container 1h. Mean Yield of Maple Sap by Compass Position 15. 1953 Maple Sap Yields and Weather Data . . 16. 1955 Maple Sap Yields and Weather Data . . 17- 1953 Sap Production Compared to Maximum-Minimum Temperature and Wind . . . . . . . . . . 18. 195h Sugar Production Compared to Maximum-Minimum Temperature and Wind . . . . . . . . . . PAGE 12 12 18 23 25 32 NO LLB R6 R6 5 3 6O 75 76 78 79 vii FIGURE PAGE 19. 1955 Sugar Production Compared to Maximum—Minimum Temperature and Wind . . . . . . . . . . . . . . 8O 20. 1956 Daily Production Compared to Maximum and Minimum.Temperatures . . . . . . . . . . . . . . 81 21. Total Winter Snowfall Compared to Sap Production . 82 22. Rainfall in Previous Growing Season Compared to Sap Production . . . . . . . . . . . . . . . . . 83 23. Total Precipitation for Previous Year Compared to Sap Production . . . . . . . . . . . . . . . . 8h 24. Length of Previous Growing Season Compared to Sap Production . . . . . . . . . . . . . . . . . 85 CHAPTER I INTRODUCTION The maple sirup and sugar industry is not one of the important cogs in our national economy. However, it is of considerable importance to a segment of our population with a relatively low income. It affords an opportunity to sell farm labor at a time when other farm.operations are not so pressing. The shortage of sugar during World War II appar- ently stimulated a renewed interest in maple sugar and sirup, and, despite the fact that they are now strictly luxury items, sales are holding up very well. Alvord (1862) quotes the census of 1850 and of 1860 as reporting maple sugar production in twenty-eight states east of the Rocky Mountains. However, eleven states from New England west to Minnesota and south to Kentucky are now listed as contributing most of the maple sap products in the 'United States. The U. S. Department of Agriculture (1955) reports an average annual production from.these states be- tween 19h3 and 195h of 258,000 pounds of maple sugar and l.76h,000 gallons of sirup. ‘With sugar bringing an average of slightly over $0.73 per pound and sirup $h.08 per gallon, this production represents an annual cash income of over $7,300,000. Michigan has ranked fourth or fifth among these states in sirup production during this period with an average annual yield of 96,000 gallons of sirup and 8,333 pounds of sugar. At the average prices quoted above, this represents an annual income for the state of almost $h00,000. The development of the maple sap products industry has followed more nearly the pattern of an art than a science. Most early writers and historians credit the American Indian with having discovered the use of maple sap for sweetening and with having developed crude methods of concentrating it. Others, however, point out that the beginnings are so ob- scure that there is room for doubt as to whether it was the Indians who taught the colonists or vice versa (Sy, 1908; Gross, 1920). At any rate, it was obviously the white man who contributed the idea of replacing the axe-cut with a hole bored into the tree and the many developments since, which were made possible by the use of metal tools and uten- sils. It is not always apparent, however, why some of these practices evolved as they did. Such things as size and depth of taphole and spout design seem to have become stabilized quite early and quite uniformly throughout the maple region (Hitchcock, 1928), although examination of the available literature fails to show how or why. There has been considerable interest in the physiology and the economics of maple sap exploitation dating from.the nineteenth century (Alvord, 1862), and many studies have been initiated. One such study made by the Vermont Agricultural Experiment Station (Jones, Edson, and Morse, 1903) was a monumental piece of work and has servedas a source and refer- ence for innumerable publications since. Unfortunately, most of the publications on work of an experimental nature do not give analyzable statistics. Some studies were made on a very limited number of trees, and others show conflicting results. In addition, considering the broad range of climatic varia- tion met within the sugar maple region, there is some probability that findings in one area may fail of application in another. For these reasons it was thought well worth while to initiate a series of studies on maple sap production in central Michigan. It was hoped to evaluate more closely some of the factors concerned in practical "sugar bush" operations. Such a study could also supply additional data from.a different area within the sugar maple region to sub- stantiate some of the findings in other areas. It might be well to emphasize here that one self— imposed limitation on this particular work was that it should be restricted to a study of practices presently in use or reasonable variations from these that might be readily applied. It was thought that more quantitative information “was needed about these accepted practices as well as the more 'basic research. The factors studied included: 1. 2. 3. LL. 5. 6. 7. 8. Height of taphole from the ground Spout design Depth of taphole Diameter of taphole Plastic versus metal containers Compass position of taphole on the tree Several weather factors as affecting production Number of tapholes per tree. Each of these factors constituted a separate, though sometimes superimposed, experiment. They are therefore taken up separately in the following exposition. A statistical evaluation is given for each. Examples of complete statis- tical analyses for the sections are included in the appendix. The analysis of variance was carried out for each experiment with the usual "F" test, and, where applicable, the "t" test was used for Specific comparisons. CHAPTER II LOCATION AND DESCRIPTION OF THE EXPERIMENTAL AREA The area chosen for this study is the northeast corner of Baker Woodlot on the campus of Michigan State University. Baker Woodlot is approximately sixty-eight acres of northern hardwoods that were part of the original grant to the institution in 1855. It is located in Section.1% Township A North, Range 1 West, Ingham.County, Michigan (see Figure 1, p. 6). Fuelwood was removed for timber stand improvement prior to 1928. In the winter of 1938-39, a harvest and im- provement cutting removed approximately 1,000 board feet per acre. A light selection cut was conducted in 19h7. In ad- dition, some small portions of the woodlot were subjected to experimental wildlife cuttings in 1950. The remaining trees constitute a relatively dense, healthy stand of mixed hard- woods. At present it is being managed for student instruction and for research by members of the faculty and graduate stu- dents in the field of conservation. The experimental area with which this report is con- cerned is about six acres in size and contains a very high proportion of sugar maple (Acer saccharum, Marsh) with a light mixture of basswood (Tilia americana, L.), elm (Ulmus .z-e-q LEGENLJ 0’0AK .‘PROJECl AREA M-HARD MAPLE cc—CLEARCUT BS’BASSW(.-OD P-POND B‘BEECH S—SWAMP C‘CHERRY I-SAPLING MS-SOFT MAPLE Z-POLE E‘ELM 3-MATURE WP ”WALNUT PL ANTATION Figure I BAKER WOODLOT TYPE MAP MICHIGAN STATE UNIVERSITY EAST LANSING,MICHIGAN Scahe o 500 Iooofeet L i LI americana, L.), oak (Quercus spp., L.), and cherry (Prunus serotina, Ehrh.). No other experiments were being conducted in this portion of the woodlot. The maples range in size from seedlings to about thirty inches in diameter at breast height (four and one-half feet from the ground). The land is level to gently undulating and consists of Miami and Hillsdale soils. Maples of good tapping size are plentiful though none had been tapped previously. The area therefore represents a fairly typical sugar bush without the danger of experimental results being affected by hidden injuries from old tapholes. CHAPTER III PROCEDURE I. APPLICATION OF TREATMENTS The healthy maples of tapping size were selected and numbered with paint. The diameter breast high (four and one-half feet above ground), total height, crown length and width, crown class, and apparent vigor were recorded. All numbered trees from.ten to sixteen inches in diameter breast high were classed as one-bucket trees, those from.sixteen to twenty inches were classed as two-bucket trees, and all over twenty inches as three-bucket trees. These limitations on the number of buckets per tree conform to the standards widely accepted by maple sirup producers. The trees to receive specific treatments were chosen at random with the limitations that (1) an equal number be placed in treatment categories that were to be compared and that (2) the major comparisons be made between trees having an equal number of buckets per tree. This allowed a compari- son of the production per tree without the further complica- tion of comparing production per bucket. It also reduced the spread in diameters of trees being used for the comparisons, as the number of buckets per tree was determined by diameter class. This was considered advantageous because of the well 9 recognized direct relationship between average tree size and average production (Jones gt 31., Fox & Hubbard, Moore 93 31,, McIntyre, and others). All the trees were tapped twenty-four to forty-eight hours in advance of the first favorable sap weather as fore- cast by the U. S. Weather Bureau and the Michigan State University Forestry Department. Such forecasting proved very accurate on a short-range, local weather prediction, as it had for several years (Robbins, 19h9). Recent develop- ments indicate that the ability to tap maple trees immedi- ately prior to the first tapping weather may have a beneficial effect in addition to the obvious one of catching the early flow and thus extending the season. In a study of the effects of tapping date on yield, Douglass (1955) found indications that tapping too far ahead of the actual sap flow may reduce total production by unnecessarily exposing the tapholes to infection by microorganisms. The tapholes were made with a brace and regular tap- ping bit, as is usually done in woods operations. Standard Spouts or SpileS like those commonly used by Michigan pro- ducers directed the sap from the tree to the bucket, with the exception of a few oversize spouts which had to be made to order. Plastic bags were tested as possible replacements for sap buckets. These bags are available through a commercial :maple sap equipment supply house and are being tried by some ' 10 producers. In all, 120 trees were tapped with a total of 168 buckets hung in each of four years. The sap was collected between one and six p.m. each day on which there was a significant run. Thecontents of each bucket were weighed to the nearest tenth of a pound with a standard dairy milk scale and the weight recorded. At the same time a drop of fresh sap was examined in a hand refrac- tometer to determine the sugar content. The refractometer actually measures the per cent of total solids (Brix scale), which includes minute quantities of proteins and minerals, but corresponds very closely to total sugars (Bryan, 1910, and Morrow, 1952). This estimate of the sugar content was later used to convert pounds of sap to sugar yields for each tree by multiplying the daily reading in per cent Brix times the daily sap production in pounds. That trees vary consider- ably in the "richness" of their sap is well documented (Marvhn McIntyre, Morrow, Taylor, and others), so all of the data were analyzed for differences both in total sap production and total sugar production as affected by the treatments. All data were transferred to I.B.M. cards. I.B.M. machines performed the conversion of sap weight and per cent Brix to pounds of sugar and provided the various summations of data used in the computations. One large maple tree was tapped on all four sides and the spouts connected to four recording rain gages that were 11 adapted to collect sap but to exclude precipitation and trash (see Figure 2, p. 12). These gages gave an indication of when sap flow commenced and when it ceased on each side of the tree. This information was supplemented by a recording hygrothermograph in a nearby weather shelter (see Figure 3, p. 12). These instruments gave graphic records of what was happening at that location twenty-four hours a day. II. EXPERIMENTAL DESIGN It was decided to use the standard analysis~of— variance technique with a two-way classification (Walker and Lev, 1953) for each sap season. The data were then combined for the four years of the study to increase the number of de- grees of freedom and thus the sensitivity of the analysis. The final analysis was, then, a three classification scheme with each year corresponding to a replication. Since the compass position of the taphole on the tree was a major factor to be studied, using it in combination with each of several other factors being studied proved con- venient. This was done in the first four experiments which were: (1) Height of Taphole and Compass Position, (2) Spout Design and Compass Position, (3) Depth of Taphole and Compass Position, and (h) Diameter of Taphole and Compass Position. The other four "experiments" are reclassifications or re- combinations of the data obtained from these same trees. The Figure 2. Recording rain gages adapted for sap collecting. Figure 3. View of experimental area showing weather shelter and rain gages. 12 13 fifth experiment is a comparison of yields from.the trees on which plastic bags were used to catch the sap and those on which metal buckets were used. The sixth is a summation of the data from three experiments in which the treatments were all balanced between the cardinal compass positions so that other treatments could be ignored and the effect of compass position brought out more strongly. The seventh is an at- tempt to find some correlation between the yields of these same trees and local weather factors. Number eight is a comparison of yields from groups of trees of approximately the same diameter but on which different numbers of buckets were hung. Details of these eXperiments, as well as specific literature reviews relating to each, are set out in the fol- lowing sections of this report. (For the purpose of this report, any reference to statistical significance is intended to imply a probable error of no more than five per cent. The use of the term "highly significant" implies a probable error of one per cent or less. CHAPTER IV HEIGHT OF TAPHOLE FROM GROUND I. REVIEW OF LITERATURE Jones, Edson, and Morse (1903), in a careful and extensive study, found sap pressures to be greatest close to the base of the trunk in maple trees. The quantity and the quality (sugar content) proved to be poor both above and below this point. The flow from roots that were tapped was more variable and of a lesser total amount. Both the flow and the sugar content decreased with height above the ground. To quote the authors, "Changes that cause the flow to stop seem.to start at the top of the tree and work down." They therefore concluded that the normal tapping height was not only the most convenient but probably close to the best por- tion of the tree from.the standpoint of yield. Bryan (1912) may have had reference to this work when he recommended tapping at waist height or "the convenience of the collector." McIntyre (1932) did some experimental work in which he found tapping at breast height produced both more and sweeter sap. 0n the basis of a study of two maple trees, Johnson (1945) found "striking reduction" in sap production as spouts were placed successively higher. However, he found this to 15 be offset somewhat by a tendency for higher sugar concentra- tion. II. EXPERIMENTAL PROCEDURE If these findings--indicating that the most convenient height was as good as, if not better than, any other--could be substantiated for Michigan conditions, it would be a happy circumstance. Maple sirup and sugar production at best calls for considerable labor under adverse conditions. The hand- ling of heavy buckets of sap either too close to the ground or higher up on the tree would add discouragingly to this burden. Therefore, an experiment was set up to compare yields of sap and sugar from three different tapping heights. Trees twenty inches or larger were chosen, as trees of this size are considered capable of carrying three taps with- out undue injury. For the first three years, three tapholes were placed in a single quadrant of each tree so that all ‘were facing very nearly in the same direction. It was thought thus to eliminate the variable of compass position from.com- parisons of the yields from.different heights on individual trees. The quadrant to be tapped, however, was chosen at random so that an equal number of trees were tapped.in each of the cardinal compass positions. Sap bags were used in- stead of buckets. The trees were tapped at one-, two-, and three-foot 16 heights. The tapholes were offset a few inches to avoid having the collection bags interfere with each other and also to minimize any effect one taphole might have in reducing the flow from.cne nearby. Jones, EdsOn, and Morse (1903) found that sap pressure in a taphole was lowered by opening another hole as much as eight feet above or below the original tap when the new hole was in the line of the grain of the wood (not always vertical in a tree with spiral or twisted grain). The distance over which this reduction was effective varied directly with the amount of pressure in the taphole. Pres- sure release was found to be over a much shorter distance when the second tap was made out of the line of the grain of the wood. 0n the other hand, these same men also found that the flow of sap from the sides of the tapholes was almost as high in volume as that from either the top or bottom of the same tap, despite a considerably lower pressure. This latter point seems to indicate that the effect of one tap on the flow from another, though out of the line of the grain, might be greater than would be accounted for by pressure changes. In order to add a factor of safety in this regard, the experiment was revised the fourth year to the extent of plac- ing the tapholes in different quadrants in each tree. The same twelve trees were used. In 1956, however, the tapholes were randomized over three compass positions so that there 17 were three quadrants with a different tapping height on each for all twelve trees, giving a total of thirty-six tapholes as in the previous seasons. This change in the method of application produced no apparent change in the results for the 1956 season as compared to the previous three seasons. III. RESULTS AND DISCUSSION The yield was consistently smaller from.the one-foot height than it was from.the other two heights. This differ- ence was statistically significant for three years of the four that the experiment was carried on. The data for the l95h season was of such a high order of variability that the differences in mean yields did not show significance. How- ever, the one-foot tap had a total yield almost as far below the average for the other two heights, percentagewise, as it did during the other three seasons. Figure A, p. 18, shows graphically the yields in pounds of sugar for all four sea- sons. The results for sugar and sap were practically identical. A summary of the analyses of variance of sap yields for each year is given in the Appendix, p. 98. The deficit in yield from.the one-foot height is thought to be directly attributable to the fact that these taps were occasionally buried in snow and remained frozen when the higher taps thawed out and flowed substantially. This did not occur often or over long periods of time, since .2 ogmam 18 one: _ 3mm _ the; Re. N _ m N _ .m m . n w _ II 2 III a. I ON I on I I L I an II 0* .I. II I at I on w] ..II no ¢m 2:... ‘ 1403.0. unis). “.0 94m; 19 the snows were not very deep nor persistent. Conditions which caused sap to flow usually caused the snow to recede rather rapidly, particularly around the trees where the trampling during sap gathering was combined with re- radiation of the sun's energy from.the dark bark of the trees. However, a few noticeable lags were observed each year with no indication that the flow was prolonged from these spouts after it ceased in the higher ones. It is recognized that the range of tree sizes as well as the heights of tapping investigated were quite limited in this study. The comparison of three different heights on the same tree has some advantage in stratifying the samples and thus reducing variability. This may or may not offset the _ disadvantage of restricting the investigation to the larger, three-bucket trees. There can be little doubt that investi- gation of effect of height should be made for the smaller tree sizes before any conclusions or recommendations can be properly applied to them. An extension of this study to include at least the (four-foot level would be of value. This would not put the buckets at too inconvenient a height. In areas of deep and persistent snows an even greater height might be adopted since much of the collecting would be done from an elevated position on packed snow. Such conditions do not prevail in the Central Michigan area, however, and four feet seems to 20 represent a practical limit unless yields are found to be considerably better from.the elevated tapholes. IV. CONCLUSIONS The two-foot and three-foot heights failed to show any significant differences. It is felt, therefore, that no rea- son has been demonstrated for varying from the usual tapping height, except perhaps to take the precaution of placing the tapholes somewhat above the usual depth of snow for the region. CHAPTER V SPOUT DESIGN I. INTRODUCTION Little has been written about the design of the spout inserted into the taphole to guide the sap to the bucket, except for the general observation that the old wooden Spouts were very poor in comparison to the newer metal ones. The wooden spouts were subject to splitting and, more important still, to contamination by microorganisms that can greatly reduce the quality of the product (Bryan, 1910) and perhaps the quantity as well (Douglass, 1955). The metal spouts are galvanized or, more recently, aluminum. They may be cast or a rolled sheet construction. All are designed to block the taphole only at the outer edge, or shoulder, being tapered toward the inner end to avoid blocking the entry of sap into the taphole from any direction. A hole or slit is provided in the tapered end to allow the sap to flow into and through the spout to the bucket without seeping or trickling down the bark of the tree. Most spouts are designed with a hook or projection from.which the collecting bucket can be hung. The cast spouts having an unpolished surface seem to cling to the tree better tha11 the smooth rolled or the polished cast spouts. ‘When the 22 weight of the bucket pulls the spout loose, it generally re- sults in the loss of the contents of that bucket as well as any subsequent flow before the accident is discovered. Aside from.such losses, it is difficult to see what difference the type of spout could make on sap production. It is still more difficult to see how it could affect the sugar content of the sap. However, producers in different areas do contend that one particular spout will produce better than another, and there have even been claims that the sap from.cne is richer than from another. There is no general agreement as to which is best, so it was thought that some investigation of this problem.should be made. An experiment was therefore set up to test for differences in total yield of maple trees as affected by Spout design. II. EXPERIMENTAL PROCEDURE It was decided to test three standard spout designs commonly found in Michigan sugar bushes andone new aluminum spout just recently available (see Figure 5, p. 23). Random combinations of these four designs were distributed over twenty-four two-bucket trees, and care was taken that the same spout design was not assigned twice to the same tree. These spouts were also assigned to one of the four cardinal compass positions by a randomizing procedure. The total, then, was forty-eight taps with spouts of each design appear- ing in each quadrant three times. Figure 5. Spout designs compared for yield. 23 ELL Under usual sugar bush procedure there might have been reason to suspect that the yields would be seriously affected by the loss of sap when spouts pulled loose. This would.mean the loss of considerable sap, as the buckets are visited only when there is sufficient volume over the entire sugar bush to justify a collection. This experiment was so designed that such losses would be held to a minimum. Daily collections were made whether the flow was heavy or light, and daily visits were made to the experimental area to gather weather data. The experiment was, therefore, usually under observa- tion twice a day. Any buckets that were blown from.the hooks and any spouts pulled from the trees were quickly replaced. Consequently, the data on total yield from.each Spout design are relatively free of complication by this factor. III. RESULTS AND DISCUSSION The yields in pounds of sap from.these four spout de- signs are presented graphically for all four seasons, 1953 through 1956, in Figure 6, p. 25. The complete analysis may be found in the Appendix, pp. 99-102. In this experiment no significant differences were demonstrated between the yields from.the spout designs either for the four seasons combined or for any season individually. The results in terms of sugar were almost identical with those in terms of sap. 25 .0 ohsmfih NE 23. can} 1434.4 zwfimo ...—Loam >m n_m mo A .m endwam M hl smaller than the seven-sixteenths tap. Since three-eighths was commonly mentioned in the literature, this size was cho- sen for use in place of the largest. The fifteen-sixteenths taps were tested during the 1953 and the 1955 seasons. The six-sixteenths (three-eighths) taps were tested during the 195A and the 1956 seasons. Both were compared to the seven- and the eleven-sixteenths inch taps, which were used all four years. Unfortunately, as in the previous experiment, the treatments were repeated in the same trees each year for three years, the seven- and eleven-sixteenths taps being assigned to the same trees all three years. The fifteen- sixteenths inch taps were reassigned to the third sample group of trees after the 195u season during which those trees had been assigned the six-sixteenths size. The re- sults for the first three years, therefore, are confounded with any initial differences that may have existed in the samples and for this reason are suspect. The treatments were re-randomized over the thirty-six trees for the fourth season to rectify this. III. RESULTS AND DISCUSSION The total yields in pounds of sap are given by tap- hole size for all four years in a graph on page AZ (Figure 9% The apparent superiority of the eleven-sixteenths inch taps N2 mom. mumm_ mm. ......x. .. . o enema .vmm. :w-\: . mum: am. Gum; n_ o c> o o o o 30’ o o o o o q o On. 0 no" 0 o" o no 0 0.0 c '0 IO N N - ‘- Figure 21 . , fl I” 3 1’ a .. 83 <2: I I l g; gymmhnw Z ‘II'I E \\\\\\\ (.9 O E D \ \\\ \ \ \ \ \\x ° \\ g 8 \T{‘€"\°£¥\°{61\ F, “- \\\\\\\\..:.h>.:.er.:.>\ a. s' (D < o D a, O U) \\\x\\\\\\\ E: S o Newscast? g I \\\\s a’ a \ \ \\ \ \ - DJ 2 I E mean?“ j % \\‘ \ \ \ \\ \ \ E J \ é ‘8 I I I» l ' i l TOTAL PRECIPITATION FOR PREVIOUS YEAR COMPARED TO SAP PRODUCTION INCHES Pouuos 0F SAP 40,000— 40 o I) o n «I N 2 2 X\\\\\\\\h\ :::\‘ NOIicnaosa cseI P\ 'KVY\\\\\Y\ \ \\\\\\\VY \ NOIiuIeIoaud 99m }\ I\ \\\\\\\\Y\ \c:;\\‘\\\\\\x\s‘\ “\\\ NOIicnOOSd 996I X \\\\\\\\\\ \\\\\ \\\\\ \ \ NOILVIIdIOBUd 996| \ \\\\\\\ \\ \\\\\\\\\\ S:ESS;S;E§E;E:j NOIionaosa veal L\ \\\\\\\ \\\ \ \\ \ \Q\ \\_\ NOI1V1|d|O38d ESGI \\\\\\X\\\ \[ NOIicnooud 296f1\\ \\\\\\\\\\\ \\\\\\\\\\ NOIIVIIdIOBUd ZSGII 3aooo-— 3dOOO—— zaOOO—— 2dOOO—— Iaooo—— Imooo—— Figure 23 . z o (D 4. DJ CD 0 - E 3 o I): <9 (0 D 9 > DJ 0: 0. LI. 0 I '— (D Z I.I.l ..I COMPARED TO SAP PRODUCTION POUNDS OF SAP )- V N O Q S\\\\\\\\ was?“ ~ \§§§§VSRHESR}QQR\ x Warsaw? \\ ‘\\\\\\\\\\ F\;:<:i3:;:s::\\ NOIionaoad 996! \\ Figure 24. \\\\\\\\x h\:<:i;3§3i;i;:\\\ uosvas seal \\\\\\\Y\ \\ NOLionaosd ass:\\ \\\\\\\\\\\ \\\\\\\\\ a: 9:13:32 40,000— 3aOOO——- O O O O O O O O O O O O O. 0 C1 o In 9 n O I n N N - '- 86 indicated by the shaded area below the thirty-two degree line-~and the sap flow following this freeze. No such cor- relation was apparent. The closest relationship was between maximum daily temperature and sap flow, the sap flows occur- ring very nearly in proportion to the height to which the temperature rose during the day. This is in line with the findings of Jones EE.&I° (1903). All temperature relation- ships were cancelled by the drying of the tapholes after a prolonged warm spell. Even a return of freezing nights and bright days failed to stimulate a renewed flow (see Figure 1% p- 78). No trends could be discerned for sap yield as com— pared to precipitation either during the growing season or during the entire year preceding the sap season, nor with the length of the growing season. Perhaps if data were available over a long period, some relationship might be revealed. Four years can be only a beginning. During the first three years of the experiment it began to look as if total winter snowfall were very closely related to sap production (see Figure 21, p. 82). During the fourth year this seeming correlation collapsed. Further study is needed to disclose whether 1956 was an exceptional year in which overriding factors obscured the influence of the snow cover or, indeed, whether the influence of snow cover is of any real importance. 87 The possibility should not be overlooked that snow may exert a beneficial effect in providing plenty of moisture at the time of sap flow. Large quantities of water are removed from the trees and presumably replaced from soil moisture. During this experimental period an average of twenty-seven gallons per tree was removed each season. Another possibility worthy of investigation is that a blanket of snow may prevent the soil and roots from freezing, thus enabling the roots to more readily replace the water lost when sap is withdrawn. V. CONCLUSIONS Little direct benefit was gained by the study of weather factors. However, four years of data on daily wea- ther and sap flow may serve as a basis for continued study of these factors. It is hoped that such will be the case since so little is known about the effect of weather and so many Years of data will be required to properly fill this gap. 2. CHAPTER XII CONCLUSIONS AND RECOMMENDATIONS I. CONCLUSIONS Tapholes between two and three feet from the ground produced comparable yields of sap. A reduction in yield from the one-foot tapholes appears to have resulted when these lower taps were covered with snow and remained frozen considerably longer than the others. Differences in the four conventional spout designs had little effect on sap or sugar yields so long as the spouts were not subject to being pulled loose by the weight of the bucket and sap. An increase in tapping depth from two to four and six inches had little effect on production. Any gain would appear to be more than offset by the additional damage to the tree. No statistically significant differences were established in the yields obtained from tapholes ranging in diameter from three-eighths to fifteen—sixteenths inches. No Significant differences in yields due to type of con- tainer, metal or plastic, were demonstrated. Consistently larger yields from the plastic bags indicated a need for further study despite the lack of statistical significance in.this limited comparison. 6. 7. l. 2. 3. 89 Tapholes on the north side of the trees may in some years produce significantly less sap than those in other quad- rants. This occurred once in the four years of this study. The difference was not sufficient to justify avoiding the north side at the risk of concentrating taphole damage in the other quadrants. Very limited data indicated that there may be little advantage to increasing the number of tapholes per tree beyond the number of buckets necessary to prevent over- flow between collections. A close relationship was noted between maximum daily temperature and sap flow until prolonged warm.weather caused the flow to taper off and cease. II. RECOMMENDATIONS Larger samples or more replication are indicated for a study such as this, particularly if only one or two years' data are obtained. More careful stratification of the samples, based on crown development (or other indications of vigor) or per- haps on previous history of production, should increase the sensitivity of the experiment for any given sample size. It would be of interest to obtain further data on height of taphole, starting from a level somewhat above normal 90 snow accumulation and extending well over three feet up the tree. A study designed to test the retention of various spout designs in the taphole would be of value. This character- istic appears to be capable of more effect on yield of sap than the design itself. A more careful study of taphole diameter is needed. Such a study might well start at nine-sixteenths of an inch and take in several sizes below this, possibly to five- sixteenths of an inch, to find the smallest diameter commensurate with reasonably good yields. Developments in the use of plastic bags should be fol- lowed, not only from the standpoint of quality of sap but also from that of yield. Further investigation of the effect on yield of adding tapholes to trees of a given diameter is indicated. This study covered only two sizes and a limited number of com- parisons in each. A complicating factor in one of the sizes tested weakened the results still further. A study of the effect of snow cover on sap and sugar yield might well be extended to cover the possibility of its contribution to soil moisture at the critical period of sap withdrawal. An investigation of soil temperature, with and without snow cover, and its influence on sap yield is another (III I‘IIIIII INVI\ n’. d ... III I II .u: I .I I ,. 10. 91 possibility in this problem of snow cover. ExaminatiOn of the literature and Observation of the un- predictable variation between trees of apparently the same size and vigor on the same or similar sites points strongly toward more intensive investigation of genetic factors. Some of the earliest writers noted the large and unexplained individual variation between trees (Alvord, 1862; Fox and Hubbard, 1905). Since then, many have ascribed this variation to "inherent characteris- tics" or a "genetic factor" (McIntyre, 1932; Moore, gt gt., 1951; and others), and some investigations have shown such genetic causation to be highly probable (Stevens and Dunn, 1943; Morrow, 1952 and 1955; Marvin, 1933; Taylor. 1933). LI TERATURE C I TED x,- LITERATURE CITED Alvord, C. T. The manufacture of maple sugar. Serial set of U. S. Documents. Serial 1168 (1862 & 1863), pp. 394-405. Anderson, W. R., J. S. Ball, H. R. Moore, and Richard Baker. Factors influencing yield and cost of maple syrup. Ohio Farm.and Home Research. 34 (1949). Bryan, A. H. Maple-sap sirup: its manufacture, composition and effect of environment thereon. U. S. Department of Agriculture Bureau of Chemistry, Washington, Bulletin 134, 1910. . The production of maple sirup and sugar. U. S. - Department of Agriculture, Washington, Farmers Bulletin 516, 1912. Chapman, H. H. and W. H. Meyer. Forest Mensuration. New York: iMcGraw-Hill Book Company, 1949, 522 pp. Chittendon, A. K. Notes on maple syrup making. Michigan Agricultural Experiment Station, East Lansing, Quarterly Bulletin 1 (number 3), 1919. Cope, J. A. Depth of tapping in relation to yield of maple sap. Journal gt Forestry. 47 (June 1949), pp. 478-480. Douglass, J. E. The effect of date of tapping on the yield of maple sap from sterile and non-sterile tapholes. Unpub- lished M. S. thesis, Michigan State University, 1955. Fox, W. F. and W. F. Hubbard. The maple sugar industry. U. S. Department of Agriculture Bureau of Forestry, Washing- ton, Bulletin 59, 1905. Grose, L. R. Maple sugar in colonial times. American Forestry. 26 (November 1920). PP. 689-690. Herbert, P. A. Maple syrup making: two buckets per tree most profitable. Michigan Agricultural Experiment Station, East Lansing, Quarterly Bulletin 5 (number 3). 1923, pp. 139-1A1- . The weather and maple sugar production. Michigan Agricultural Experiment Station, East Lansing, Quarterly Bulletin 7 (number 2), 1924, pp. 60-62. 9h Hitchcock, J. A. The economics of the farm.manufacture of maple syrup and sugar. Vermont Agricultural Experiment Station, Burlington, Bulletin 285, 1928. Huffman, R. E., S. H. DeVault and J. W. Coddington. An economic study of the maple products industry in Garrett County, Maryland. ‘University of Maryland Agricultural Experiment Station, College Park, Bulletin 431, 1940. Johnson, L. P. V. Physiological studies on sapflow in the sugar maple, Acer saccharum, Marsh. Canadian Journal gt Research. C 23'TDecember 1945), pp. 192-197. Jones, C. E., A. W. Edson and W. J. Morse. The maple sap flow. Vermont Agricultural Experiment Station, Burlington, Bulletin 103, 1903. .and J. L. Bradlee. The carbohydrate contents of the maple tree. University of Vermont and State Agricultural College, Burlington, Bulletin 358, 1933. Marvin, J. W. Some factors influencing sap flow in Acer saccharum, Marsh. Amer. Journal gt Botany. 33 (October 1914.67, p o 82“.. . A report of continuing botanical researches on maple sap at the University of Vermont. Proceedings gt tgg Second Conference gt Mgple Products. Eastern Utilization Research Branch, Agricultural Research Service, United States Department of Agriculture, Philadelphia, 1953. . and M. T. Greene. Temperature induced sap flow in excised stems of Acer. Plant Physiology. 26 (July 1951), pp- 565-580. and R. O. Erickson. A statistical evaluation of some of the factors reSponsible for the flow of sap from the sugar maple. Plant Physiology. 31 (Jan. 1956), pp. 7-610 McIntyre, A. C. The maple products industry of Pennsylvania. Pennsylvania State College School of Agriculture and Ex- periment Station, State College, Bulletin 280, 1932. Mbore, H. R., W. R. Anderson and R. H. Baker. Ohio maple syrup: some factors influencing production. Ohio Agricul- tugal Experiment Station,Wooster, Research Bulletin 718, 19 1. 95 Morrow, R. R. Consistency in sweetness and flow of maple sap. Journal gt Forestry. 5O (Fefiruary 1952), pp. 130-131. . Early tapping for more quality sirup. Journal gt Forestry. 53 (January 1955), pp. 24-25. . Influence of tree crowns on maple sap production. Cornell University Agricultural Experiment Station, Ithaca, Bulletin 916, 1955. Naghski, J. and C. O. Willits. The sterilizing effect of sunlight on maple sap collected in a transparent plastic bag. Food Technology. 7 (February 1953), pp. 81-83. Robbins, P. W. Position of tapping and other factors affect- ing the flow of maple sap. Unpublished M. S. thesis, Michigan State College, East Lansing, 1948. . Production of maple sirup in Michigan. Michigan State College Agricultural Experiment Station, East Lansing, Circular Bulletin 213, 1949. Sheneman, J. M. and R. N. Costilow. Oral and written com- munication, 1956. Sproston, T., Jr. and S. A. Lane. Maple sap contamination and maple sap buckets. Vermont Agricultural Experiment Station, Burlington, Station Pamphlet 28, 1953. Stevens, C. L. and Dunn, Stuart. Increasing the sugar con- tent of sugar maples. Journal gt Forestry. 41 (December 1914-3), pa 922. and R. L. Eggert. Observations on the causes of the flow of sap in red maple. Plant Physiology. 20 (October 19A5). pp. 636—648- Sy, A. P. History, manufacture and analysis of maple prod- ucts. Journal gt the Franklin Institute. 166 (1908), pp. 249-280. Taylor, F. H. Operation of an experimental sugar bush. tag- ceedings gt tgg Second Conference gg Maple Products. Eastern Utilization Research Branch, Agricultural Research Service, United States Department of Agriculture, Philadelphia, 1953. Tressler, C. J. and W. I. Zimmerman. Three years' operation of an experimental sugar bush. New York Agricultural Experi- ment Station, Geneva, Bulletin 699, 1942. 96 United States Department of Agriculture, Agricultural Statis- tics. 1955, p. 81. Walker, H. M. and J. Lev. Statistical Inference. New York: Henry Holt and Company, 1953, pp. 348-386. 1953 Total Pos ition Height iji Error 15229; Total Pos ition He ight PxH Error 19 otal Pos ition Height PxH Error 19 6 Total Po 5 ition He ight PxH Error ANALYSIS I HEIGHT 0F TAPHOLE AND COMPASS POSITION Degrees Freedom Sum of Sguares 79.055 28,277 13,609 7,325 29.8h4 364.763 86,01 35.97 17,142 225,629 176.024 47.298 47.736 11,6h4 69.3u6 137.206 17.513 23,600 18,245 77,8u8 Me an Sguare 9J£6 6.305 1,221 28,671 17,989 2.857 9,401 15,766 23,868 1,941 2,889 8:756 11, 800 4,561 2,883 "F I! Value 7.35% 5.07% .98 3.05* 1.91 .30 98 Value of Fat 5% 3.01 3.40 2.51 3.01 3.40 2.51 3.01 99 ANALYSIS II SPOUT DESIGN AND COMPASS POSITION 4 YEARS COMBINED) A2311§1§_2£_Y§£l§££2 ' A Degrees Sum of Mean "F" "F" Sew—Ce wmmmw Total 191 1,096,309 Year (Y) 3 115,601 38,534 7.45** 2.68 Spile (S) 3 17,515 5,838 1.13 2.68 YxS 9 23,412 2,601 1.95 Position (P) 3 20,304 6,768 1.31 2.68 ny 9 43.376 4,820 SxP 9 67,667 7,519 1.45 1.95 SxYXP 27 146,075 5,410 1.05 1.57 Error 128 662,359 5,175 (1953) (1954) (1955) (1956) 22x2 = 790,321 + 2,120,288 + 1,700,569 + 1,314,628 = 5,925,806 (1953) (1954) (1955’ (1956) EX = 5.863 + 8,966 + 8,355 + 7,267 = 3o,LI51 C.T. = gsz = (30,45122 = 927,263,40 = 4,829,496.88 N 192 192 Total $5 =Ex2 - C.T. = 1,096,309.12 Year ss = (5.863)2 + (8,966)2 $68,355)2 + (7,267)2 - C.T. = 115,601.16 SPout SS = (8,123)2 + (6.890)2 i8(7,852)2 + (7.585)2 - C.T. = 17,198.07 Position 33 = (7,050)2 + (7,960)2 £8(8,228)2 + (7,213)2 - C.T. = 20,250.23 ...____.——'——— ‘ 100 ANALYSIS 11 (continued) Two-Way Table for Interactiog (SxY) Year A B C D Total 1953 1:531 19368 1:466 1:498 5,863 1954 2.528 1.771 2.543 2,124 8,966 1955 2,260 1,980 1,969 2,146 8,355 1956 1,80g 1,771 1,814 .1,817 1,266 Total 8,123 6,890 7,852 7,585 30,A50 ' D.F., Total SS for SKY = 59,828,49g - C.T. = 156,210.95 15 12 Year SS (as before) = 115,601.16 3 Spout SS (as before) = 17,198.07 3 Spout x Year SS (by subtraction) = 23,411.72 9 Two-Way Table for Interaction (PxY) Year North East South West Total 1953 1:401 1,537 1,639 1,286 5,863 1958 2,379 2.530 2,012 2,045 8.966 1955 1.934 2:005 2.377 2,039 8,355 1956 1,332 1,881 2,200 1,842 1,266 Total 7,051 7,959 8,228 7,212 30,450 D.F. Total 83 for ny = 60,105,33 - C.T. = 179,597.81 15 12 Year SS (as before) = 115,918-35 Position SS (as before) = 20:303-85 3 YxP SS (by subtraction) = 43,375.61 9 ANALYSIS II (continued) Two-Way Table for Interactiqg (SxP) 101 Spout De_siss $122172 Test So_u__w Te: Lesa A 1,805 2,177 2,204 1,937 8,123 B 1,916 1,321 2,001 1,652 6,890 C 1,627 2,125 2,378 1,722 7,852 D 1.1% 2.232 14616 1.201 1.282 Total 7,051 7,959 8,228 7,212 30,450 Total SS for SxP = 5922131994 - C.T. = 105,486.48 .QIUJ Spout SS (as before) = 17,515.26 3 Position SS (as before) = 20,303.85 3 SxP SS (by subtraction) = 67,667.37 9 102 ANALYSIS II (continued) Three-Way Table for Interaction (SxPxY) Spout Year Spout North East South West Design Yearly Design Totals Totals A 439 411 362 319 1,531 1953 B 378 274 428 288 1,368 5 863 c 274 403 389 400 1,466 a D 310 449 460 279 1.498 a 232 212 22% as; 8%: 195“ c 671 699 785 388 2:543 8’966 D 512 723 324 565 2,214 A £22 550 22% 443 5,530 B 312 77 9 0 1955 c 388 529 571 481 1,969 8’35; D 475 614 419 638 2,146 A 32? i6; 106 422 1.804 B 31 7 19 1,771 1956 c 29 494 633 453 1,874 7'266 D 49 550 442 9 1,817 Position Totals 7,051 7,959 8,228 7,212 30,450 30,450 433,950.31 63 II Total SS for SxPxY = 15,789,320 - C.T. 3 Spout Design SS (as before) = 17,515.26 3 Position SS (as before) = 20,303.85 3 SxP SS (as before) = 67,667.37 9 Years SS (as before) = 115,601.16 3 SxY SS (as before) = 23,411.72 9 PxY SS (as before) = 43,375.61 9 SxPxY SS (by subtraction) = 146,075.34 27 103 ANALYSIS III DEPTH 0F TAPHOLE AND COMPASS POSITION 1956 SEASON Yields in Poungs of Sugar Depth of Taphole North East South West Total 1.72 i.fi§ 3.33 1.86 9 o o . o o 2' 3.89 7.79 3.73 3.12 69°02 4.35 5.68 5.21 4.86 2.8; 3.22 %.g% 2.%8 3.2 . . 3. l 1*" 4.87 3.16 4.37 1.97 64‘1” 3.69 6.09 6.21 2.94 1.32 8.18 3.46 6.87 6" 3.76 2.78 14.93 3.61 70 11 2.94 7.13 2.10 3.64 ° 1.52 HOE]. 80% 4.82 Analysis of Variance Degrees Sum of Mean Value of Source Freedom Sguares Sguare "F" Value F at Total 47 173.12 -- -- —- Position (P) 3 44.57 14.86 4.84** 2.86 Depth (D) 2 1.12 0.56 0.18 3.26 PxD 6 16.86 2.81 0.92 2.36 Error 36 110.57 3.07 -- -- 104 .AJMLYSIS III (continued) 48 48 48 Total ss =21x2 - C.T. = 1,036.72 - 863.60 = 173.12 Position ss = 52:43 + (ZE)2 + (£5)2 + (DMZ - C.T. 12 10,891.9818 - . . 12 C T 908.17 - 863.60 = 44.57 (2’2")2 + (Zung2 + (26")2 _ C.T. 1 13,835.5534 _ 1 C.T. Depth SS Two-Way Table for Interaction (PxD) Dfiistfioig. 1426.4 228.2 22224 Teal 1461.1 2" 11.81 21.48 22.72 13.01 69.02 4" 14.67 16.96 21.64 11.20 64.47 6“ 9.59 22.60 18.91 1 .01 _1g,11 Total 36.07 61.04 63.27 43.22 203.60 C.T. = 863.60 (as before) Total 33 for PxD =Zx'2 - C.T. = 926.15 - 863.60 = 62055 Total SS for PXD - SSP - SSD 62.55 "' M057 "‘ 1.12 = 16.86 . . I . . . . I I I a n . . . . . . I . _ . o. . I I . I . . I I I . . . l . u I I I I .. . . . I _ . I . v . _ I . I _ I I — . o I. u I C I . I. . . ' I . . I I I i n u _ I _ . I . u . . s . I 1 I I I l I I I .. I — I O , l 105 ANALYSIS III (continued) 12 12 $51166 = .7153 L.S.D..OS = 2.03 (.7153) = 1.45 L.S.D..Ol = 2.72 (07153) = 1095 S W N 5.27 5.09 3.60 3.01 1. 1.9 - ANALYSIS IV TAPHOLE DIAMETER AND COMPASS POSITION (1953 80 1955 COMBINED) Analysis of Variance 3°ch ' 33333; Total 71 Year (Y) 1 Diameter (D) 2 YXD 2 Position (P) 3 YxP 3 DxP 6 YXDxP 6 Error 48 (1953) (1955) Sum of Sguares 362,643 114,561 16,093 2,076 14,619 5,847 16,061 20,006 173,380 Mean Sguare 114,561 8.047 1,038 4,873 1,949 2,677 3,334 3,612 EX2 = 574.457 + 1.659.009 = 2,233,466 C.T. = (4,367 + 7,23922 = 134,699,236 = 1,870,823 7 7 =22x2 - C.T. = 2,233,466 - 1,870,823 = 362,643 (4,367)2 + (7.239)2 - C.T. 36 Total SS Years SS Diameter Position SS SS 139859384 " 118702823 = 114,561 (3176h)2 + (4éi51)2 + (3,491)2 ‘ COT. ll 1,886,916 - 1,870,823 = 16,093 "F" Value 31o7** 2.2 1.3 106 "F" 4-04 3.19 2.80 (3,312)2 + (2.773)2 +8(2.899)2 + (2,622)2 - C.T. 1 1,885,442 - 1,870,823 = 14,619 107 ANALYSIS IV (continued) Two-Way Table for Interaction (YXD) Eggt 11161 111161 ;5[;§1 Year Total 1953 1,331 1,685 1,351 4,367 1955 2.43.3 2.6.6.6 2.140 .1232 D13??? 3.764 4. 351 3.491 11, 606 Total $3 for YxD = 2,003,553 - C.T. = 132,730 ‘2537 Year SS (as before) = 114,561 1 Diameter SS (as before) = 16,093 2 YxD SS (by subtraction) = 2,076 2 Two-Way Table for Interaction (YXP) £333 Ngttg Egtt §QEEE Ettt Year Total 1953 V 1.232 933 1,185 1,017 4,367 1955 2,080 1,840 1,714 ;,ég5 _1,232 Pogifiiin 3,312 2,773 2,899 2,622 11,606 _D_,_F;,_ Total SS for YXP = 2,005,850 - C.T. = 135,027 7 Year SS (as before) = 114,561 1 Position SS (as before) = 14,619 3 YxP SS (by subtraction) = 5,847 3 108 ANALYSIS IV (continued) Two-Way Table for Interaction (DxP) Diameter North East South West Diameter Total 7/16" 1,015 1,000 922 827 3,764 11/16" 1,278 905 1,015 1,153 4,351 15/16" 1,019 868 962 642 3,491 Position Total 3,312 2,773 2,899 2,622 11,606 D.F. Total 33 for DxP = 1,917,596 - C.T. = 46,773 11 Position SS (as before) = 14,619 3 Diameter SS (as before) = 16,093 2 PxD SS (by subtraction) = 16,061 6 Three-Way Table for Interaction (DxPxY) Diameter Year Year Diameter North East South West Total Total 7/16" 408 28 53 286 1, 1 1953 137121: 44 381 £91 332 16% W 1955 1:;12: 888 53$ 22: 5%; 3,626 7 239 15/16" 665 587 581 307 2:140 ’ Position Total 3,312 2,773 2,899 2,622 11,606 11,606 D.F. Total SS for DxPxY = 2,060,086 - C.T. = 189,263 23 Diameter SS (as before) = 16,093 2 Position SS (as before) = 14,619 3 DxP SS (as before) = 16,061 6 Year SS (as before) = 114,561 1 DxY SS (as before) = 2,076 2 PxY SS (as before) = 5,847 3 PxYXD SS (by subtraction) = 20,006 6 Source Total Year Diameter (D) YXD Position (P) YxP DxP YxDxP Error (195 52x2 = 1,912, 109 ANALYSIS V TAPHOLE DIAMETER AND COMPASS POSITION 4 1 (1954 & 1956 COMBINED) Analysis of Variance Degrees Sum of Mean "F" "F" Freedqg Sguares Sguare Value at 5% 71 727,118 1 2,926 2,926 2 47,648 23,824 2.77 3.19 2 183,483 91,742 10.66% 3.19 3 24,064 8,021 3 6,953 2,318 6 28,505 4,751 6 20,399 3,400 48 413,140 5,607 ) (1956) 60 + 1,435,863 = 3,348,023 C.T. = (7,098 + 6,639)2 = 188,705,169 = 2,620,905 72 72 Total ss =§Zx2 - C.T. = 3,348,023 - 2,620,905 = 727,118 Year 33 = (7,098)2 36(6’639)2 - C.T. = 2,623,831 - 2,620,905 = 2,926 Diameter SS Position SS (3,720)2 + (4,373)2 + (5,144)2 - C.T. 236689553 ' 236209905 = 47.643 (3,089)2 + (3,566)2 $80,171)2 + (3,911)2 - C.T. 2,644,969 ‘ 2,620,905 = 24,064 I I l n. a. . c 1 .. 2 I I I o O I. u . _ . I C. I I l D D I I l . I p I o I I ‘ n. . l u I I I n . I I n. n _ 0 I o n. I v I I . I ,1_—_— llO ANALYSIS V (continued) TwoAWay Table for Interaction (YXD) ‘tht 8" 11161 11716" Year Total 1954 1,110 2,731 3,257 7,098 1956 2610 21.1.42 119131 ...6 _3_96 Diameter Total 3,720 4,873 5,144 13,737 .JlgEL Total 33 = 2,854,962 - C.T. = 234,057 5 Year SS (as before) = 2,926 1 Diameter SS (as before) = 47,648 2 YXD SS (by subtraction) = 183,483 2 Two-Way Table for Interaction (YxP) jggag Nggth gagt Sggth Etgt Year Total 1954 1,503 1,885 1,575 2,135 7,098 1956 1 86 1,681 1,596 1,776 _§,63g Position Total 3,089 3,566 3,171 3,911 13,737 DeF. Total SS for YXP = 2,654,848 - C.T. = 33,943 7 Year SS (as before) = 2,926 1 Position SS (as before) = 24,064 3 YxP SS (by subtraction) = 6,953 3 ANALYSIS V (continued) Two-Way Table for Interaction (DxP) QIEEEEEE 42224 $222 §22£Q 4222 212$2E2£_22221 3/8 " 1,033 802 843 1,042 3,720 7/16" 875 1,321 1,189 1,488 4,873 11/16" 1,181 1,443 1,139 1,381 5,144 Position Total 3,089 3,566 3,171 3,911 13,737 .21E1 Total $3 for DxP = 2,721,122 - C.T. = 100,217 11 Position SS (as before) = 24,064 3 Diameter SS (as before) = 47,648 PxD SS (by subtraction) = 28,505 6 Three-Way Table for Interaction (DngYl Diameter Year X232 Diameter 423th EEEE §22£E Ettt Total Tgtgl 1954 77123 5&8 781 611 871 2:73? 7,098 11/16" 624 993 750 890 3,257 ' 3 8" 702 611 629 668 2,610 1956 7 16" 327 620 578 617 2,1 2 6,639 11/16" 557 450 389 491 1,8 7 Position Total 3,089 3,566 3,171 3,911 13,737 13,737 D.F. Total ss for DxPxY = 2,934,883 - C.T. = 313,978 23 Diameter SS (as before) = 47,648 2 Position SS (as before) = 24,064 3 DxP SS (as before) ' = 28,505 6 Year SS (as before) = 2,926 l DxY SS (as before) = 183,483 2 PxY ss (as before) = 6,953 3 PxYxD SS (by subtraction) = 20,399 6 1 112 ANALYSIS VI TYPE OF CONTAINER (1956 SEASON) Yields in Pounds of Sap Metal Plastic North East ' South West North Egst South West 81.3 185.1 167.6 131.4 65.6 187.4 416.9 152.1 161.5 135.7 215.2 87.5 249.0 295.1 143.1 227.4 237.4 149.9 199.7 93.4 68.5 248.4 320.3 108.7 120.2 348.5 195.8 . 177.1 191.9 189.2 97.2 156.0 150.2 295.6 318.2 272.7 231.8 176.5 268.9 149.7 328.6 201.6 138.3 208.2 232.3 87.5 104.6 357.4 1158.7 1238.3 582.5 1161.6 560.2 1569.6 2238.1 817.2 Means: 144.8 206.4 194.2 165.9 140.1 261.6 248.7 163.4 Total SS = 2,139,117.2 - 1,812,041.80 = 327,075.44 Between Classes SS =E;QIE _ C.T. n (1158.7)2 + (1238.3)2 + . . . - <81 -2 2 - . . 8 6 ___%_.1_ c T 1,908,441.26 - 1,812,041.80 = 96,399.46 113 ANALYSIS VI (continued) Analysis of Variance for error) Degrees Sum of Mean "F" "F" Source Freedom Sguares Sguare Value at 5% Total 47 327,075.44 Between 7 96,399.46 13,771.35 2.39% 2.25 Within 40 230,675.98 5,766.90 Adjustment of Class Numbers Metal Plastic Position Observed Expected Observed Expected Total No. No. No. No. North 8 6 4 6 12 East 6 6 6 6 12 South 3 6 9 6 12 West _1 6 _5 6 42 Total 24 24 48 Expected N0. = Row Total Grand Total x 001 Total = fig x 24 = 6 The Chi Square test of expected numbers (for interaction) Chiz‘=:£:(0bserved No. - Expected No.)2 Expected N0. = 4+9+l+4+9+1=28=4.66 7?? 27 Chi2 for significance at 5% for 3 D.F. = 7.8 We can therefore assume negligible interaction and proceed to adjust totals by expected numbers. 0 .1 . 1.0.5.6 .7 .. ’PP‘IWm..nE.I..I1.*"W‘nJl-JA , II \IIII r 0..” v 8|} 1|! GI"! .1. 114 ANALYSIS VI (continued) Two-Way Table for Expected Totals Metal Plastic Exp. Observ. Exp. Exp. Observ. Exp. No. No. Average Total No. Average Total Tot. X 6 144.84 869.04 6 140.05 840.30 12 1709.34 6 206.38 1238.28 6 261.60 1569.60 12 2807.88 6 194.17 1165.02 6 248.68 1492.08 12 2657.10 6 6 165.94 995.64 163.44 980.64 44 1976.28 24 4267.98 24 4882.62 48 9150.60 Sit/313712 Total SS =:(Exnected Tot.)2 - (XExpected Tot.)‘2 6 71.8 = l,832’u7h.0h - 197%,)411-7951 = 88,026.53 Position 88 =§;§E - C.T. = 21,771,896.38 - C.T. = 69,877.19 12 12 Container ss =5:02 - C.T. = o 6 1. - C.T. = 7,870.46 24‘ 2 Analysis of Variance for Totals Source Degrees Freedom Sum of Sguares Mean Sguare Total 88,026.53 -- 7.870.46 7,870.46 10,278.88 3,426.29 7 Position, 3 69,877.19 23,292.40 Container 1 3 PxC ANALYSIS VI (continued) 2211222 Position Container PxC Error Analysis of Variance of Adiusted Values Degrees Freedom 3 1 3 40 Sum of Sguares 69,877.19 7,870.46 10,278.88 230,675.98 Mean Sguare 23,292.40 7,870.46 3,426.29 5,766.90 "F 1! Value 4-O4* 1°36 115 "F I! at 5% 2.84 4.08 ANALYSIS VII COMPASS POSITION (COMBINED DATA FROM 3 EXPERIMENTS) 1956 SEASON Combined Yields in Pounds of Sap Repl. (Eiper. (Eiper. (Eiper. Totals #2) #3) #4) N 1,336.5 1,718.9 1,586.8 4,642.2 E 1,887.5 2,807.9 1,680.4 6,375.8 S. 2,200.1 2,820.6 1,595.7 6,616.4 W 1,842.7 1,978.8 1,776.4 5,592.9 Totals 7,266.8 9,326.2 6,639.3 23,232.3 Analysis of Variance Degrees Sum of Mean "F" Sgtggt Freedom Sguares Sguare YEAES Total 131 800,670.35 Repl. 2 47,690.06 23,845.03 4.482% Position 3 72,095.12 24,031.71 4.52** RxP 6 42,938.63 7,156.44 1.35 Error 120 637,946.54 5,316.22 116 Mean Yields 140.7 193.2 200.5 169.6 "F I! at 1% 4.78 3.94 117 ANALYSIS VII (continued) C.T. - 021:)2 = (23232.3)2 = 4,088,937.60 132 132 Total SS =§:X2 (for all three experiments) - C.T. = 4.889.607-95 - 4,088,937-60 = 800,670.35 88;. = (2N)2 + (XE)2 + (ZS)2 + (DMZ - C.T. 33 4,161,032.72 - 4,088,937.60 = 72,095.12 SSRepl. = (RI)2 + (Re)2 + (R )2 - C.T. 48 36 = 2,912,174.76 + 1,224,452.90 - 4,088,937.60 = 47,690.06 Total 83 for Interaction =Z(Xl)2 +X(X2)2 +3339)2 - C.T. 12 9 = 3,024,602.10 + 1,227,059.31 - 4,088,937.60 = 162,723.81 SSPxR = Total SS for Interaction - SSP - SSR = 162,723.81 - 72,095.12 - 47,690.06 = 42,938.63 67.?1 " fij) = ”2 x Ergé Mo ‘90 = 1(10163§§.QA V322.19515 = 17.95 L.S¢Do.05 = 17.95 x 1.98 = 350514. L.S.Do.01 = 17095 x 2062 = (4.7003 S E W N 200.50 193.21 169.63 140.67 169.63 140.62 140062 30.87 52.54** 28.96 I 4 . C a 7 . I I u I I o I I _ I _ a .. I I I I I I u o t . I I I. I a I I C C . . I I I. 1 i . I I I o o u C 118 ANALYSIS VIII NUMBER OF BUCKETS PER TREE (FOUR YEARS DATA COMBINED) Computation of Average Diameter One-Bucket Trees Two-Bucket Trees Tree No. DBH Basal Area Tree No. DBH Bgsal Area 3 16.3 1.4491 12 17.3 1.6324 9 16.0 1.3963 13 17.1 1.5948 25 16.1 1.4138 18 16.9 1.5578 32 16.0 1.3963 50 16.2 1.4314 92 17.6 1.6895 ' 61 16.6 1.5029 97 16.3 1.4491 63 17.5 1.6703 98 16.8 1.5394 84 16.4 1.4669 102 16.4 1.4461 109 17.0 1.5763 119 16.7 1.5211 » 110 17.2 1.6136 Total Basal Area 13.3015 Total Basal Area 14.0464 Aver. Basal Area 1.4779 Aver. Basal Area 1.5607 Aver. Diameter 16.463 Aver. Diameter 16.916 Two-Bucket Trees Three-Bucket Trees Tree No. DBH Basal Area Tree No. DBH Basal Area 10 21.4 2.4978 41 20.0 2.1817 38 19.8 2.1382 42 21.8 2.5920 60 20.6 2.3145 99 22.4 2.7367 82 19.2 2.0106 100 20.3 2.2476 83 19.3 2.0316 111 21.1 2.4282 112 19.5 2.0739 115 21.9 2.6159 113 19.2 2.0106 116 20.1 2.2035 123 19.3 2.0316 118 20.6 2.3145 Total Basal Area 17.1088 Total Basal Area 19.3201 Aver. Basal Area 2.1386 Aver. Basal Area 2.4152 Aver. Diameter 19.802 Aver. Diameter 21.042 119 ANALYSIS VIII (continued) Yields in Pounds of Sap 1253 1254 1255 19 6 Totals 145.6 283.6 152.1 201.6 140.8 81.9 255.3 295.6 123.5 150.1 307.9 177.1 Single_ 199.9 383.5 392.4 295 .1 Bucket ' 199.1 326.7 215.6 328.6 Trees 238.1 246.0 381.2 353.2 255.8 375.8 302.9 215.2 182.8 328.4 373.4 357.4 199.2 311.7 319.4 268.9 9,565.6 230.7 277.4 174.0 122.6 267.8 243.1 254.5 140.7 128.0 237.8 208.8 183.3 271.0 376.6 284.7 296.6 Two- Bucket 139.4 358.2 392.8 301.2 Trees 198.5 215.7 258.2 215.8 153.2 296.5 276.6 260.9 293.2 222.3 413.8 470.7 290.6 470.9 291.5 420.1 9,637.7 ‘ Tetals 3.657-4 5338602 5,255.1- 4,904.6 19320303 Total 88 = 5,722,664.23 - (19,203.3)2 72 = 5,722,664.23 - 5,121,760.15 = 600,904.08 Number 88 = (9,565.6)2 +6(9,637.7)2 - C.T. 3 . = 5,121,832.35 - 5,121,760.15 = 72.20 Year 88 =(3,657.4)2 +(5,386.2)2 +8(5,255.1)2 +(4,904.6)2 - C.T. 1 = 5,225,494.58 - 5,121,760.15 = 103,734.43 120 ANALYSIS VIII (continued) Two-Way Table for Interaction (YXN) Number 1251 1254 .1255 l9 6 221212 Single-Bucket 1,685.0 2,687.7 2,700.2 2,492.7 9,565.6 Two-Bucket 1,972.4 2,698.5 2,554.9 2,411.9 9,637,7 Year Totals 3,657.4 5,386.2 5,255.1 4,904.6 19,203.3 Total SS for Interaction LEE 2084262902; " C.T. 9 . D.F. = 109,865.32 7 Year SS (as before) = 103,734.43 3 Number SS (as before) = 72.20 1 YxN SS (by subtraction) = 6,058.69 3 Agglysis of Variance Degrees Sum of Mean "F" "F" Source Freedom Sguares Sguare 23433 gt_;% Total 71 600,904.08 Years 3 103,734.43 34,578.14 4.51** 4.10 No. Holes 1 72.20 72.20 YxN 3 6,058.69 2,019.56 Error 64 491,038.76 7,672.48 ANALYSIS VIII (continued) Two- Bucket Trees Three- Bucket Trees Yields in Pounds of Sap 121 122; 1254 1222 19 6 222215 340.6 566.7 370.1 361.9 364.5 761.2 566.5 396.1 264.8 493.5 425.9 393.8 158.5 307.2 195.2 284.2 323.1 474.3 559.8 424.1 252.2 353.2 467.1 551.4 163.6 210.7 335.4 272.3 317.8 470.1 248.4 310.5 11,986.0 491.7 1,084.1 797.8 390.7 400.1 442.7 461.0 393.3 283.6 628.6 553.8 415.4 212.6 439.5 281.1 492.7 254.9 304.5 529.7 528.0 214.9 306.3 355.6 411.1 246.3 601.5 486.6 297.4 270.1 519.3 515.0 533.5 14140.4 ' 4,559.3 7,960.4 7,149.0 6,457.7 26,126.4 Total ss = 12,307,75o.46 - (26,126.4)2 = 1,642,300.82 = (11,986.0)2 + (14,140.4)2 - C.T. 32 Number S Year SS S = 10,737,972.13 - 10,665,449.64 = 72,522.49 (4,559.3? +(7,960.4)2 +(7,149.0)2 +(6.457.7)2 - c.T. 16 11,060,329068 " 10,6659M906LI. = 391.1,880004 ANALYSIS VIII (continued) Two-Way Table for Interaction (NxY) 122 , ‘ Number 1953 1954 1955 19 6 Totals Two- ‘ Bucket 2,185.1 3,636.9 3,168.’ 2,995.6 11,986.0 Three- ‘ ‘ Bucket 2 3 .2 32 . 3,980.6 3,462.1 14,140.4 Totals 4,559.3 7,960.4 7,149.0 6,457.7 26,126.4 ' D.F. Total SS = 8921‘4E8(2020 " C.T. = 481,409.38 7 Number SS (as before) = 72,522.44 1 Year SS (as before) = 394,880.04 NxY SS (by subtraction) = 14,006.85 3 Analysis of Variance Degrees Sum of Mean "F" "F" Source Freedom Sguares Sguare Value at 0 Total 63 1,642,300.82 Year 3 394,880.04 131,626.68 6.35** 2.78 No. Holes 1 72,522.49 72,522.49 3.50 4.02 YXN 3 14,006.85 4,668.95 Error 56 1,160,891.44 20,730.20 r—‘—’—i —. 1, ,, ROOM USE ONLY ROOM USE QMLYWW; ., W7 ”I11111111441111ES