follow a relativelygood seedyear, whichwe experienced.Earlyindications are that thistechniquecould achieve at least a degree of conversionto pine. Considerablework will undoubtedlybe required to obtainpure standsof pine,but laterobservations are neededto estimatethe type and extentof treatment. Literature Cited BELANGER, R. P. 1979.Stumpmanagement increases coppiceyield of sycamore. South.J. of Appl. For. 3:101-103. Boycs,STSP}•SN G., andJos P. McCLURE.1975.How to keeponethird of Georgiain pine. USDA For. Serv. Res. Pap. SE-144. Southeast.For. Exp. Stn.,Asheville,NC. 23 p. Boycs,STSPHSN G., andJoEP. McCLuRE.1976.Actionsto capture the biologicalpotentialfor loblollypine in Virginia and the Carolinas.In Proc.55thAnnualMeetingof AppalachianSection, SocAmer. Foresters,February4-6, Asheville,NC. 43-45. BoYcs,STSPHSN G., and HERBSRT A. KNIGHT.1979.Prospective ingrowthof southernpinebeyond1980.USDA For. Serv.Res. Pap. SE-200.Southeast.For. Exp. Stn., Asheville,NC. 50 p. LANGDON, O. GORDON. 1981.Naturalregenerationof loblollypine: a soundstrategyfor manyforestlandowners. South.J. of Appl. For. 5:170-176. LoTto, T. 1961. The casefor natural regeneration.In Crow, A. B., ed. Proc. 10th Ann. For. Symp.LouisianaSt. Univ. Press, Baton Rouge,LA. 16-23. McGsE,C. E. 1980. Expandingoptionsfor reforestationof the CumberlandPlateau.South.J. of Appl. For. 4:158-162. McM•NN,JAMES W. 1983.Pineregenerationvia fuel chip utiliza- tion. Ga. For. Res.Pap.41. Ga. For. Cornmiss., Macon,GA. 7 p. McM•NN,JAMESW., and WADSL. NuT'rsm 1981. Energywood harvesting:a studyof promises and pitfalls.Ga. For. Res.Pap. 17. Ga. For. Commiss.,Macon,GA. 6 p. NUTTEg, WADE L., and JAMSSW. McMINN. 1980. Total-tree chipping:what aboutnutrientdrain?In Total-treechips:harvesting,transporting,storingand processing. Proc.Ann. Meet., Southeast. Section, FPRS, November 19-21, Savannah, GA. 37. SoclEanc os AMEmCAN FORESTEgS. 1979. Improvingoutputsfrom non-industrial privateforests:studyreportof a taskforceof the Societyof AmericanForesters,Washington,DC. 11 p. VAN LEAR,D. H., J. E. DOUGLASS, S. K. Cox, M. K. AUGSPURGER, and S. K. NODINE.1983.Regeneration of loblollypine standsin the Piedmontby clearcuttingwith seedin place.In Jones,E. P., Jr., ed. Proc. SecondBiennialSouth.Silvic.Res.Conf. USDA For. Serv. Gen. Tech. Rep. SE-24. Southeast.For. Exp. Stn., Asheville, NC. 87-96. Jamesw. McMinnisprincipalresearch forester,USDA ForestService,Southeastern ForestExperimentStation, Forestry Sciences Laboratory, Athens,Georgia30602. Yield Relationshipsin Unthinned Loblolly Pine Plantationson Cutover, Site-PreparedLands Harold E. Burkhart, DeborahC. Cloeren,and Ralph L. Amateis wereno significant differences between sitepreparation classes theregions. l (Pinustaeda)plantations oncutover, site-prepared landsacross within much ofthesouthern United States. Initialmeasurement datafrom these permanent plotswereusedto(1) develop regression relationExtensive plantings ofloblolly pinehave been esships between yieldof theplanted loblolly pineandmeasurements tablishedthroughoutthe South. During the 1950s of theplanted pineandcompeting vegetation, and(2) assess reand early 1960smostplantingswereon abandoned lationships between yieldandsitepreparation methods andphysio- agriculturallands.These old-fieldplantationshave graphicregions (Coastal Plain andPiedmont). These analyses and a voluminousquanshowed thatyieldoftheplanted pinecomponent couldbepredicted beenthoroughlyresearched tity of growth and yield information hasbeendeveladequately fromage,average height ofdominant andcodominant oped from them (Burkhart et al. 1981). For more trees,and numberof survivingplantedtreesperunitarea.Measurements onthecompeting vegetation didnotsignificantly reduce than a decade, the vast majority of loblolly pine theerrorsumofsquares afteraccounting for theplanted-pine variables. An analysis of covariance showed thatmeanyields(after bytheLoblolly PineGrowth andYield adjusting for theeffects ofplantation age,siteindex,andnumber • Thisstudywassponsored Research Cooperative at VPI & SU. Supportfrom BowaterInc., ofsurviving trees)werenotsignificantly different for sitepreparationclasses or physiographic regions. Furtheranalyses showed ChampionInternationalCorp., ChesapeakeCorp., Continental ForestIndustries,CrownZellerbachCorp., FederalPaperBoard thatsurvivalrelationships weresimilarfor thephysiographic reInternationalPaperCo., PotlatchCorp.,UnionCampCorp., gionsandsitepreparation classes included. Although theheight- Co., WestvacoCorp., WeyerhaeuserCo., North CarolinaDivisionof agerelationships for anamorphic siteindexcurveconstruction were Forestry,Virginia Divisionof Forestry,and the USDA Forest significantly different for theCoastal PlainandPiedmont, there Service(bycooperative agreement) is acknowledged. ABSTRACT. Data were collected in unthinnedloblollypine 84 SOUTHERNJOURNALOF APPLIEDFORESTRY plantationshavebeenestablished on cutoverareas that havebeensite preparedprior to planting.Differencesin siteand competitive relationships between old-fieldand site-preparedareasare likelyto affect yieldrelationships. Oldfieldstypically contained little competing woodyvegetation, showedmodifiedsoil physical properties asa resultof agricultural activity, and had some residual fertilizer effects. The objectives of thisstudywereto: (i) determine what variablesare importantfor predictingyieldsof loblollypine plantationson cutover,site-prepared areas,and (2) investigatethe effectsof sitepreparation methodsand geographic locationon yieldrelationshipsin theseplantations. Table1. Summaryof plot locationsby stateandphysiographicregion. Physiographic region Coastal State Alabama Arkansas treatment for the site conditions and time at which the plantationwasestablished. The locationand standhistorywere recordedfor eachplot. Standhistoryincludedtypeof standprior to the current plantation,whenclearcut,type of site Other 13 1 1 -- -9 14 10 8 Total 7 -- 15 Louisiana 23 -- -- 23 Maryland Mississippi 3 13 --- --- 3 13 North Carolina Oklahoma South Carolina Tennessee Texas 17 -10 1 6 19 -11 2 -- -1 -3 -- 36 1 21 6 6 2._•7 = 68 13 TOTAL During the 1980-81 and 1981-82 dormant seasons,permanentplots were established in cutover, site-prepared plantations throughout the native range of loblollypine (Figure 1 and Table i). The initialmeasurement datafrom thesepermanentplots were usedin thisstudy.To be includedin the sample, the plantationshad to meet the followingspecifications:at least8 yearsin age (definedasyearssince planting),unthinned,free of evidenceof heavydiseaseor insectattack,not heavilydamagedby ice or wind storms,free of interplanting,unpruned, not fertilizedwithin the last 4 years,not plantedwith geneticallyimproved stock,containa minimum of 200 to 300 plantedpine stemsper acrewhichappear free to grow,not more than 25% of the maincanopy composedof volunteer pines, and establishedon a cutover area that receivedtypical site preparation Piedmont Georgia Virginia DATA Plain 11 105 3___•8 186 preparation, whenplanted,whetheror notreleased, and other pertinentinformation.In addition,number of treesplantedand ageweredetermined. The followingdatawererecordedfor all planted pines:dbh to the nearest0.i in, totalheightto the nearestfoot, height to the baseof the live crown, crownclass,and a stemqualityassessment. In addition to the data recordedon the planted pine, the followinginformationwasrecordedfor naturalpinesandhardwoods whichwerein themain canopy:dbhto the nearest0.i in, totalheightto the nearestfoot,andspecies. Naturalpineandhardwood treesnot in the maincanopy,but greaterthan0.5 in dbh,weretalliedby 1-indbh classes only. Measurementdata from the plots were used to computesiteindex,numberof trees,basalarea,and volume per acre. Tables 2 and 3 showsummary statistics for the 186sampleplots.Whencomputing siteindex, an equationfor combinedCoastalPlain and Piedmont data from old fields was used (Devan Table2. Summarystatistics for the 186sampleplots. Variable Age (yearsfrom planting) Numberof planted Ioblollysurviving (trees/acre) Arithmetic mean dbh of planted Ioblolly (in) Total overstorybasal area (sqft/a--all taggedtrees) PlantedIoblollybasal area (sq ft/a) Volume planted Ioblolly Minimum 8 275 Mean 15.2 558 Maximum 25 950 2.7 5.7 9.4 26.2 110.4 231.3 22.9 105.1 230.9 229.3 2125.2 7589.2 44.6 65.7 87.6 (cu ft/a oh) Site index (ft, baseage Figure1. Map showing thelocationof sample plotsby county. Eachdarkened countycontains oneor moreplot installations. SOUTHERNJOURNALOFAPPLIEDFORESTRY 25)4 • ComputedusingequationfromDevanandBurkhart(1982)withcoefficients from combined Coastal Plain and Piedmont data, 85 Table 3. Classificationof 186 sampleplots by age, site index, and numberof trees per acre of planted Ioblollypine. Age Site index class class Years 8-12 13-17 Feet 40-55 56-65 66-75 76 + Total Treessurvivingper acre 0-300 .......................... I 1 40-55 56-65 66-75 76+ 40-55 56-65 66-75 76 + Total Grand Total 501-700 Number 1 2 13 4 20 2 3 6 6 17 Total 8-25 301-500 1 701 + Total .......................... 8 2 22 2 3 33 1 5 1 13 37 8 59 8 21 25 5 1 12 16 6 3 3 36 1 11 10 4 7 5 23 1 3 10 7 6 24 6 1 35 4 7 63 61 104 20 186 64 33 13 tion in the residual variation after accountingfor both plantedpinesand natural pinesand hardwoods in the main canopy that could be ascribedto the understorydensitywascomputed. Independentvariablesusedin the regressionequationsto predictplantedpine yield from the planted standmeasurements only were plantationage,averageheightof dominantsand codominants, and number of survivingstemsper acre.In all trial regressions, yield was subjectedto logarithmic transformation, and age wasenteredas a reciprocal.Variousexpressionsfor the heightof dominantsand codominants were evaluated,includingheightdividedby age and the logarithmof height. Numbersof treesper acre plusreciprocaland logarithmictransformations were entered. The following regressionequation accountedfor a relativelyhigh proportionof the variation in yield and resultedin residualplotswith no discernabletrendsover the independentvariables: In Y = - 1.00184+ 0.97745/A Re -- 0.9597 and Burkhart 1982). The region-widetree volume equationfrom Van Deusenet al. (1981) for old-field loblollypine plantationswasusedto computetotal cubic-footvolume (outsidebark). Site preparation treatmentsvaried widely from locationto location; many areas received a combinationof treatments (Table 4). (1) + 2.14146 In Ha + 0.00105 N• Sy.x= 0.1310 where Y = total cubic-footvolume,outsidebark, per acreof plantedloblollypine A = plantationage(yearssinceplanting) Ha = averageheightof dominantand codominant plantedloblollypines(feet) N• = numberof plantedloblollypinessurviving (per acre) ANALYSES Yield Equations Initial measurement datafrom the permanentplots were usedto explore relationshipsbetweenyield of planted loblolly pine and measurementsof the planted pine and competingvegetation,both in the main canopyand in the understory. Sitepreparationmethodswerehighlyvariableand often not well documented,thus it was necessaryto use the result of treatment--as indicated by stand parameters--inregression analyses. Regression analyseswith successively increasinginformation were performed. First, the proportion of variation in planted pine yield accountedfor by measurement dataon the plantedpine only wasdetermined.Next, the proportionof the residualvariationafter accounting for plantedpinevariables thatcouldbeattributed to volunteerpinesand hardwoodsin the maincanopy wasascertained?And finally,the additionalreduc- Plottingresiduals for equation(1) overthenumbers of naturalpinesand hardwoodsin the overstoryand numbersin the understoryshowedlittletrend except that all residualswere negativefor all observations in whichnumbersof volunteersin the overstorywere greaterthan 350 stemsper acre(or about20 sqft of basalarea per acre). Equation(1) wasacceptedfor predictingplanted pine yield from measurementdata on only the plantedpine component.Numbersof naturallyoccurring pine and hardwoodstemsin the overstory were then addedto the equation.Althoughthe sign of the coefficientfor numbersof nonplantedtrees in the overstorywas negative,as expected,the addition of thisvariabledid not bring abouta significant reductionin the error sumof squares?Additional s All testsof hypotheses wereperformedat the0.01levelbecause to separatethe competitorsin the main canopyinto pinesand hardwoods; consequently all competingtreesin the maincanopy werelumpedtogetherfor theseanalyses. (1) a largenumberof testswereplannedand useof the 0.01 level for eachindividualtestguardedagainsta greatlyinflatedoverall Type I error rate,and (2) unlessthe testsof interestin thisstudy showedstatistical significance at the 0.01 levelthere wouldlikely be little practicalimpacton predictedvalues. 86 SOUTHERN JOURNAL OF APPLIED FORESTRY 2Therewerenotsufficient numbers of plotswithvolunteer pines Table4. Summaryof plantingmethods,sitepreparation,andintermediatetreatmentsby physiographic regionfor 186locations. Planting method Site preparation and intermediate treatments Burn Chop Drain Bed Shear Disc Windrow Spray Other Release Fert. Coastal Plain Hand 40 24 Machine Combination 27 2 15 1 Hand Machine Combination 22 10 1 8 5 6 13 10 9 14 7 12 2 8 1 10 1 8 1 4 1 20 2 12 10 22 11 4 1 14 1 1 9 4 Piedmont 11 8 Other Hand 10 Machine 8 Combination 1 TOTAL 111 53 6 15 1 8 1 2 1 2 1 2 49 44 67 7 30 58 expressionsfor numbers in the overstorywere entered but none wassignificant. Next, numbersof naturally occurringstemsin the understorywereaddedto equation(1). When adding numbersin the understory,the signof the coefficient was positive,an unexpectedresult, but the variable wasnot significant.Various transformationsof numbers in the understorystill showeda positiverelationship with yield after accountingfor the age, averageheight of dominantsand codominants,and number of survivingplanted stemsper acre. However, none of the variablesexpressingunderstory densitywassignificant. Finally,both numbersin the overstoryand numbers in the understorywere added to equation(1) but no significant reductions in the error sum of squaresresulted.In additionto the equationswhich used numbers per unit area, analogousequations were computed with basal area per acre and with crowncompetitionfactor(Krajiceket al. 1961) asthe measureof stand densityand the conclusions were 10 5 Effectsof Site Preparation and Physiographic Region on Yield After determiningan appropriateyield equation, relationshipsbetweenyield and sitepreparationand physiographicregion were explored. As there was wide variation in site preparation treatments,the data were groupedin classes. The followingdefinition of site preparationclasses, usedby Clutter et al. (1976) in an analysisof the relationshipsbetween soilsand site preparationin slashpine plantations, wasapplied: Site PreparationClass1: Bedded--debrismoved Site Preparation Class 2: Bedded--debris not moved Site Preparation Class 3: Not bedded--debris moved Site PreparationClass4: Not bedded--debrisnot moved. the same. Regressionanalysesindicated that equation (1), with age,heightof the dominantstand,and numbers of survivingplantedpine, is adequatefor predicting total cubic-footyield of planted pines for cutover, site-preparedareas,exceptthat overpredictionbias mayresultfor standswith a relativelylargehardwood componentin the overstory(above350 stemsor 20 sq ft of basalarea per acre). It is possiblethat the effectsof competingwoodyvegetationare indirectly expressedthrough modificationsin height of dominants and codominants and numbers of trees surviv- ing.Althoughthe measurements of competingwoody vegetationwere not significantlyrelated to yield of the plantedpine, future growthof thesepermanent plotsmay be significantlycorrelatedwith the density of nonplantedpine competitors. SOUTHERN JOURNAL OF APPLIED FORESTRY Table 5 shows the distribution of actual treatments by theseclasses. When testingfor the effectsof physiographic region, the data were groupedinto two classes:(1) Piedmont and (2) CoastalPlain. There were insufficient data (only 13 plots)in the "other"categoryto retainit for anyof thesecomparisons (Table6). Eight plotshad inadequate recordsto placetheminto the defined site preparationclasses and were omitted from further analyses. Thus, 165 plotsremainedfor the analysesof effectsof site preparationand physiographicregion on yield. Comparisonsinvolving the CoastalPlainphysiographic provinceincludedall sitepreparationclasses, whereascomparisons for the Piedmont included only site preparation classes3 and 4 (classes 1 and 2 involvedbedding,and there 87 Table5. Frequencyof treatmentsby site preparation classes.• Treatment Frequency Sitepreparationclass1: bedded--debrismoved Bed, shear Bed, shear, windrow 1 1 Bed, shear, windrow, disk Bed, windrow, burn Bed, windrow, burn, KG 2 1 3 TOTAL 8 Sitepreparationclass2: bedded--debrisnot moved Bed 1 Bed,chop 1 Bed, burn 2 Bed,chop,burn Bed,chop, burn, drain 1 2 TOTAL 7 Sitepreparationclass3: not bedded--debrismoved Shear Windrow 1 9 Shear, windrow 11 Shear,windrow, ripped 1 Shear, windrow, disk Windrow, burn Windrow, disk, burn 6 4 5 Windrow,burn, kg 1 Shear, burn Shear, windrow, burn Shear, windrow, burn, bulldozed, rootraked Shear, windrow, disk, burn 4 14 1 2 Shear,windrow, disk, burn, inject Windrow,chop, burn Windrow,disk, chop, burn Shear,windrow,disk, pile, burn Push,pile Shear,windrow, disk, inject 2 1 1 1 1 1 Shear, windrow, disk, burn 1 TOTAL 67 Sitepreparationclass4: not bedded--debrisnot moved Spray Burn, disk, spray 4 1 Disk 15 Chop, burn 38 Burn 17 Chop, spray Burn, chop, disk 1 2 Burn, disk 3 Burn, chop, drain Chop Chop, burn, spray Injected 3 1 1 4 Burn, tractor mist blown 1 Wildfire 3 Burn, injected 2 TOTAL 96 by sitepreparationclasses and physiographic region An analysisof covariance(withcovariatesl/A, In Ha, and Ns, and responsevariable In Y) showedno significantrelationshipbetweenadjustedobserved yield and site preparationclassesor physiographic regions.Thus the conclusion wasthat, giventhe age, averageheightof dominantsand codominants, and numberof survivingplantedpine stemsper acre,a single yield equation can be applied for all site preparationclasses and physiographicregions.Clutter et al. (1976) reachedthe sameconclusionfor the site preparationclassesand soilsgroupsthat were included in their analysesof slashpine plantation data. Althoughthe sameyield equationcan apparently be used for all site preparationclasses and physiographicregions,it ispossible thatdifferentsiteindex equationsor survivalfunctionsare needed. As an initial look at siteindex relationships,it wasassumed that anamorphicsite index curveswould be appropriate and the guide curve In Ha = bo + bJA wasfitted to the plot data in eachsite preparationphysiographicregion class with sufficient data (CoastalPlain--site preparationclasses 1, 2, 3 and 4; Piedmont--sitepreparationclasses 3 and 4). Analysis of varianceshoweda significantdifferencebetween the Coastal Plain and Piedmont, but there were no differencesbetween site preparation classeswithin physiographic regions. The logarithmof height-reciprocal of age model fitted to the data from eachsite preparation-physiographicregionwasusedto estimatemean siteindex for each class.Mean site index values were (Table 6): Site preparationclass Coastal Plain Piedmont I 2 3 4 76.3 63.6 61.3 57.0 59.8 55.8 Analysisof varianceproceduresshowedsignificant differences between mean site indexes for the Coastal Plain; there were no significantdifferencesfor the Piedmont.Further, there were no significantdifferences in mean site index between the Coastal Plain • Eightplotswereomittedfromthistabulationbecause of inadequate recordson site preparationtreatmentsapplied. and Piedmont for site preparationclasses3 and 4 Becausethe treatmentswere not assignedat random (that is,the sitepreparationmethodsemployedwere subjectivelydetermined based on knowledgeand were no data from beddedplantationsin the Piedmont). availabilityof techniquesplus conditionson the site at the time of treatment),it is not possibleto make Comparisonsof averageyieldsby site preparation validinferencesfrom theseresults(e.g.,differentsite classes and physiographicregion were adjustedfor preparationtechniquesdo or do not affectsiteindex). the effectsof age, site index, and stemsper acre, because the level of these variables varied from class If one assumes,however,that there was no strong to class.Table 6 showsthe sampleplot characteristics associationbetween inherent site quality prior to 88 SOUTHERNJOURNALOF APPLIEDFORESTRY Table 6. Mean valuesfor selectedcharacteristics of the sampleplots by site preparationclassesand physioõraphicreõions. Site preparation class Site Plots • ^õe index No. Yrs. Ft. I 2 3 4 8 7 20 62 11.6 11.4 14.7 15.8 76.3 63.6 61.3 59.8 Combi ned 97 14.9 61.8 Yield N• Cu ft/a No Nu BA• ................. No/a................................. Coastal Plain 2092.6 555.5 1299.7 601.4 2289.6 536.3 2184.3 2134.6 BAo B,% ScI ft/a............... 524.7 23.6 22.6 57.3 73.3 391.0 521.9 485.7 880.9 103.8 78.8 108.9 104.6 1.96 1.04 5.27 6.41 3.99 5.04 6.35 10.91 535.2 62.3 733.1 103.6 5.42 8.97 54.6 80.0 66.5 1297.3 1481.2 1383.8 109.9 111.2 110.5 4.27 6.68 5.40 12.77 16.22 14.40 Piedmont 2 .......... 3 4 Combined 36 32 68 15.5 16.5 16.0 57.0 55.8 56.4 2136.0 2149.3 2142.2 611.2 572.2 592.9 Other 2 .......... 3 4 Combined 11 2 13 9.1 14.5 9.9 57.6 61.0 58.2 664.0 2347.2 923.0 576.2 677.0 591.7 49.9 49.0 49.8 433.7 785.5 487.8 53.2 121.4 63.7 1.70 2.35 1.80 3.46 5.95 3.85 8 7 67 96 11.6 11.4 14.2 16.0 76.3 63.6 58.4 58.5 2092.6 1299.7 1940.1 2176.0 Combined 555.5 601.4 583.1 543.7 23.6 22.6 54.6 75.0 391.0 521.9 913.2 1079.0 103.8 78.8 100.3 107.2 1.96 1.04 4.15 6.42 3.99 5.04 9.33 12.57 178 15.0 59.5 2049.0 561.4 63.0 963.8 103.3 5.15 10.67 I 2 3 4 Combined • E•õhtplotswereomittedfromthistabulation because of inadequate records on sitepreparation treatments applied. treatmentand site preparationmethod,then these results,althoughinconclusive, indicatethat sitepreparationmethodhasnot greatlyaffectedsiteindex. Relationships betweensitepreparationtechniques and physiographicregionsand survivalwere also •nvesti.gated. In the survival analyses, theeffectsof Ha = averageheight of dominantsand codominantsat ageA. The covariateswere thus defined as (A)(log Np), (A)(Ha) and (A)(X/-•a).After adjustingfor the covariates,there were no significantdifferencesin the survivalattributableto site preparationmethod or physiographic region.Thisresultmustbeinterpreted age, s•te index, and initial number planted were removedascovariates andthentestswereperformed with caution, however. All data used were from stands to determineif the mean numberssurvivingwere 8 to 25 years.The analysisused the only two data s•gnificantlyaffectedby site preparationtreatment available--one at time of planting (N•) and or physiographic region.Asin the previousanalyses, points the other at the time of observation in an established data from site preparation classes1, 2, 3, and 4 were available for the Coastal Plain, while data from site preparation classes3 and 4 were availablefor the P•edmont.Only 69 plotscontaineddataon the number of treesplanted;thus,the survivalanalysiswas based on a reduced data set. The form of the survival function of Feducciaet al. (1979) wasused to define the covariates. Their survival function is log(Np/N)= A[bxlogNt, + beHa+ b•X/-ff•a] where Np = numberof seedlings plantedper acre A = age (yearsfrom planting) N = numberof survivingstemsper acreat age A SOUTHERNJOURNAL OF APPLIED FORESTRY plantation(N). It is possiblethat mortalitypatterns (especially in the earlyyears)couldbe differentacross sitepreparationmethodsandphysiographic regions. If suchdifferencesexist,theycouldhavebeenmissed in thisanalysis, dueto the natureof thedataat hand. Furthermore,sampleplotswere established only in plantationswith reasonablygood survival,possibly eliminatingsomeof the variationbetweensitepreparation methodsand physiographicregions.This analysisdoespresentsomeevidence,however,that mortalityrelationships may not be drastically different for differingsitepreparationclasses and physiographicregions. As another examinationof relationships between yield, site index, and survivaland site preparation 89 classesand physiographicregion, the data in each physiographic region were regroupedaccordingto the followingclasses: Site PreparationClass1: Tilled--debris moved SitePreparationClass2: Tilled--debris not moved Site PreparationClass3: Not tilled--debris moved Site Preparation Class 4: Not tilled--debris not ß Although the nature of the sample data precludes firm conclusions, indications are that survival is not greatlyaffectedby sitepreparationmethodor physiographicregion. In similaranalyses with data from slashpine plantationson site-preparedlandsin the flatwoods,Clutter et al. (1976) found (1) averagesiteindicesto be moved quite homogeneousfor soil seriesgroupsand site where tilled is either disked or bedded or both. This preparation classes,(2) no differencesin average groupingof the data resultedin four sitepreparation yield (adjustedfor variationin age, site index, and classes in eachregion.The analyses describedprestemsper acre) by seriesgroup or site preparation viouslywererepeatedwiththesedatagroupings.The classes, and (3) no significantdifferencesin average resultsdid not change.That is, no significantrelapercentsurvivalor averagenumberof survivingtrees tionshipswere found between adjusted observed by either seriesgroup or site preparationclass.The yield and site preparationclasses or physiographic analysesreported here for loblollypine plantations regions.There was a significantdifference in the corroboratethe findingsof Clutter et al. height of dominantsand codominantsversusage Results and conclusionsof this study must be relationshipbetweenthe CoastalPlain and Piedmont interpretedcautiouslyand in light of the type of data physiographic regions,but therewasnot a significant analyzed.Data from both studiesdid not comefrom differencebetweensite preparationmethodswithin designedexperimentsbut rather from a surveyof each region. No significantdifferencesin mean surexistingplantations.In the presentstudy,standhisvivalwerefound betweensitepreparationclasses or tory data were limited and there were no measurephysiographic regions. ment data on the standsprior to plot installation The sitepreparationtreatmentswere not appliedat randombut weresubjectively chosen,basedon methDISCUSSION AND CONCLUSION odsin useand conditionson the groundat the time of plantation establishment.These resultsdo show, For the populationof plantationssampledin this however,that for loblollypine plantationsof the type studyit wasconcludedthat: sampledon cutover, site-preparedlands, a single yield equationbasedon age, averageheight of the ß Yield of the planted loblolly pines can be predominants and codominants, and number of survivdicted from age, averageheight of dominantsand ing planted pines,is applicableacrossa wide range codominants, and numberof survivingplantedpines of sitepreparationmethodsand a broadgeographic only. For thesedata, it wasnot necessary to include area. Preliminary indicatorsare that different site measurements from volunteerpinesand hardwoods index curvesmay be needed for the CoastalPlain to obtain adequatepredictions,but there was eviand Piedmontregions,but that within each region dence that inclusionof the densityof volunteersin the samecurveappliesto all sitepreparationmethods the overstorymay be necessary at high levels(more And, finally, there is evidencethat survivalrelationthan 350 stemsor 20 sq ft of basalarea per acre of shipsare similaracrosssitepreparationmethodsand volunteers). physiographicregions. ß A singleyieldequationisadequatefor predicting total cubic-footvolume yield acrossall site preparation methodsand physiographicregionssampled. Literature Cited ß The height of dominantsand codominantsversusagerelationshipdoesn'tseemto be alteredby site BURKHART, H. E., Q. v. CAO,and K. D. WARE.1981.A comparison preparationmethod,but it wassignificantly different of growthand yield predictionmodelsfor loblollypine. Sch.of between the Coastal Plain and Piedmont physioFor. and Wildl. Resour., VPI and State Univ., Publ. FWS-2-81 59 p. graphicregions. ß No firm conclusion can be drawn from these data regarding sitepreparation effectson siteindex. Mean site index was significantlydifferent for the four site preparationclasses in the CoastalPlainbut it wasn't different for the two classes in the Piedmont. This result doesnot provide strongevidencefor or againstsitepreparationaffectingsiteindex,because site preparationmethodswere not assignedat random in theseplantations. 90 CLUT•rER, J. L., j. c. FoRysoN,and B. D. S•IVER. 1976. Some relationships betweensoilsand site preparationin flatwoods slashpineplantations. In Proc.,SixthSouth.For.SoilsWorkshop, Charleston,SC. p. 28-41. DEVA•,J. S. and H. E. BVRK•AR•r.1982. Polymorphicsiteindex equationsfor loblollypine basedon a segmentedpolynomial differential model. For. Sci. 28:544-555. FEDUCCIA,D. P., T. R. DELL, W. F. MANN, T. E. CAMPBELL,and B. H. POLMER. 1979.Yieldsofunthinnedloblollypineplantations on cutoversitesin the WestGulf Region.USDA For. Serv.Res Pap.SO-148.88 p. SOUTHERNJOURNAL OF APPLIED FORESTRY KRAJ•CgK, J. E., K. A. BR•N}•MAN, and S. F. G•N(;R•cn.1961.Crown competition--ameasureof density.For. Sci.7:35-42. V^N DErSEN, P. C., A.D. Sv•.•.•v^•, and T. G. M^-r•E¾. 1981. A predictionsystemfor cubicfootvolumeofloblollypineapplicable through muchof its range.South.J. Appl. For. 5:186-189. HaroldE. BurkhartisThomas M. Brooks professor, DeborahC. Cloeren, formergraduate research assistant, and RalphL. Amateis, research associate, Department of Forestry,VirginiaPolytechnic Instituteand StateUniversity, Blacksburg, Virginia24061. Economic Aspectsof the Forest Regeneration Delay Decision ThomasJ. Strakaand JamesE. Hotvedt ABSTRACT.Regeneration lag,thecostresulting froma delayin reestablishment of a foreststand,represents an important opportunitycost--the cost oftheforegone opportunity togrowtimber over theperiodof thedelay.Thelandexpectation value(Le)criterion •susedtoevaluate thecosts associated withone-time-only andperpetuallags.Significantdecreases in wealth,or barelandvalue, werefoundusinga simplified example withreal-world costand pricedata.Changes in required landbases resulting fromregeneration delays werealsoreviewed. Theadditional landrequirements resulting fromscheduled delays in regeneration canbecostly. ing a timber saleconsiderregenerationlag? In the caseof proposedwholesalepostponements of regeneration after harvest,corporateofficersimplicitly assumethat savingsin short-terminterest on borrowedmoneyand the benefitsof maintainingdesired levels of liquidity offset the costsof regeneration delay. In this case,thesecostsalso include higher costsof sitepreparationsincethe sitewill havebeen left asis after a harvest,resultingin higherlevelsof Regeneration isdefined astheactofreplacing old This paper is concernedwith deliberatedelaysin regeneration.The regenerationlag problemcan be analyzedbystudyingfour affectedfactors:cashflows, forest structureand allowablecut, land expectation values,and land requirementsfor mill furnish.Brodie and Tedder (1982) discussed the impactof regenerationdelayon the harvestvolumelossfor the forest as a whole, stressingthe impact of different allowablecut constraints.We stressthe managerial implications of regenerationlag, mainlyits impact on land expectationvaluesand land requirements. trees,either naturallyor artificially.While prompt regenerationisusuallyassumed in managementplanning,it is not alwayssotimely.Timber salesare often extended for up to a year in order to clean up a sale, 1.e.,to harvesta few marginalcordsof wood.Another causeof regenerationlag is businessdownturnsand their resultantcashflow problems.In the lastrecessionfor example,somecompanies considered wholesalepostponement of regenerationafter harvestto saveon cashoutflow,often to the chagrinof woodlandsmanagers.In the caseof deliberatepostponement, it may well be that improvementsin shortterm cash flows are considered sufficient to offset lossesin land expectationvalues,increasedland requirements,and disturbances in the optimalforest structure(or a delay in achievingit). Regenerationlag refersto the costof delayin reestablishment of a forest stand (Davis 1966). It is often ignoredin forestinvestmentanalyses.Regeneration lag representsan opportunitycost,or the costof the foregoneopportunityto growtimber over the period of the delayand the costof postponing future rotations.The decisionto delay regeneration means that the value of future rotations will be deferredby the lengthof the delayor, alternatively, that harvestsof delayed standswill be conducted beforethe ageof financialor of biologicalmaturity. How often doesthe foresterresponsible for extendSOUTHERNJOURNAL OF APPLIED FORESTRY brush control. ANALYTICAL MODEL Land expectation value(Le), or bare land value, can be used to measurethe changein forestland valueresultingfrom regeneration lag. The formula used to calculate L, is often called the Faustmann formula. The calculationis relatively simple and involvescompoundingeachcostand revenueat a given interestrate to derive net incomeat some specified rotationage.Sincethe formulacalculates bare land value,regenerationcostis included,but land cost is not. It is assumedthat the specified rotationwilloccurin perpetuityandthattheperiodic cashflow will not changeover time. Thus, we are dealingwitha perpetualperiodicpayment. The net valueof compounded incomelesscompounded costs 91
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