Suary and Cruse Statstcs 8 July 1, 014 8-1
Cruse Colaton Manual Mnstry of Forests, Lands and NRO 8.1 Plot Suary Reort Overvew The Plot Suary reorts nuber of stes, daeter, and erchantable volue nforaton for the easured lots. The araeters are segregated by seces wthn the lot. Each seces s segregated by daage code for daage colatons. Refer to Aendx 1 for the lst of seces used. Count lots are ncluded n the lot suary. Only nclude trees n a lot that eet the erchantablty requreents fro card tye B. Plots are sorted wthn Tye, Bloc, and Str. Stes are trees wth Tree Class coded 1,, 3, 5, 7, 8, or 9. Snags are trees wth Tree Class coded ether 4 or 6. 8.1.1 Header Inforaton 1. Lcense fro card tye A.. Cuttng Pert fro card tye A. 3. Forest Inventory Zone fro card tye A. 4. Unt # and Bloc fro card tye A. - Reort the actual nae of the Unt/Bloc fro Table 17 of the Crusng Manual. 5. Message ndcatng whether colaton s for arasals or not. 6. Method of calculaton (Average Lne or Bloc). 7. Merchantablty requreents fro card tye B. 8. Secal colaton essages for: a. Reducton colaton. b. Stu cruse colaton. c. Tree class cobnaton - useless volues are ncluded or excluded, deendng on colun 15 of card tye B (0 or blan - snags excluded, 1 - snags ncluded). 8- July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs d. Selectve cut ndcator - whch trees to cole deends on colun 1 of card tye B (blan - nclude all trees, 'C' - nclude cut-ndcated and nonndcated trees, 'L' - nclude leave-ndcated trees). e. Wet/Dry belt ndcator (Interor only) - sale s n the wet belt or dry belt, deendng on colun 14 of card tye B (0 - no essage, 1 - wet belt, - dry belt). 9. Coler rogra nae and verson. 10. Cole date and te. 11. Page nuber. 8.1. Plot Inforaton For each lot, reort the followng card tye 9 nforaton: 1. Tye.. Bloc. 3. Str. 4. Plot. 5. Plot sze. - Reort the lot area for fxed lots, or the basal area factor for rs lots. - If a sub-lot s beng used, nclude the letter 'S' next to the lot sze. 6. Plot swee. 7. Sloe ercent. 8. Date. July 1, 014 8-3
Cruse Colaton Manual Mnstry of Forests, Lands and NRO 8.1.3 Seces Inforaton All suatons n the followng calculatons are for the erchantable trees n a lot. 8.1.3.1 Nuber of Stes and Snags Count the nuber of trees n the lot for the seces. When colng a reducton, aly the reducton. If the lot s a border lot, double the nuber of stes and snags. Round to the nearest whole nuber. 8.1.3. Nuber of Stes and Snags Per Hectare Use the ethod outlned n Secton 3.4 for calculatng S for a secfc seces. 8.1.3.3 Average Daeter of Stes and Snags The average daeter s derved fro the basal area and stes er hectare estates fro the lot usng the relatonsh Area *radus. The ultlcaton by 100 s to convert fro eters to centeters. D 100 * * BA *S D Average daeter (c) of stes (or snags) for lot. BA Average basal area er hectare ( ) for lot (refer to Secton 3.5). S Stes (or snags) er hectare for lot (refer to Secton 3.5). 3.1415965 Reort to decal laces. 8-4 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs Exale 8.1 Fr stes were talled n a full lot usng a BAF of 1.000. PRF 0.1443. Tree one has a DBH of 89.9 and tree two has a DBH of 78.8. The basal area er hectare s: BA * 1 4 The stes er hectare are: S 1 (173.39545) 89.9 1 (173.39545) 43.51 78.8 The average daeter s: 100 * 4 * 83.80 c * 43.51 8.1.3.3.1 Gross Merchantable Volue/hectare Use the ethod outlned n Secton 3.5 for calculatng V for a secfc seces. Reort to decal laces. 8.1.3.4 Less Decay n Less Decay S t (1 d t ) Vt t 1 V t Gross erchantable volue of tree t. d t Decay ercent fro Loss Factor Table. Reort to decal laces. 8.1.3.5 Less Decay and Waste Less Decay/Waste n S t t 1 (1 d t w ) V t t Where July 1, 014 8-5
Cruse Colaton Manual Mnstry of Forests, Lands and NRO S t Nuber of trees er hectare that tree t reresents. V t Gross erchantable volue of tree t. d t Decay ercent fro Loss factor table. w t Waste ercent fro Loss factor table. n Nuber of trees n lot P. Reort to decal laces. 8.1.3.6 Less Decay, Waste and Breaage - Net Merchantable Volue er Hectare Less DWB n S t t 1 (1 d t w t b ) V t t S t Nuber of trees er hectare that tree t reresents. V t Gross erchantable volue of tree t. d t Decay ercent fro Loss factor table. w t Waste ercent fro Loss factor table. b t Breaage ercent fro Loss factor table. n Nuber of trees n lot P. Reort to decal laces. 8.1.3.7 Loss Factor Table Refer to Secton 3.3.1 Ste #3 for nstructons on deternng the arorate loss factor table. 8.1.4 Plot Frequency Reort At the end of the Plot suary reort, lst the nuber of easure lots and hectares er lot for each Tye wthn Bloc and Tye wthn cuttng ert. 8-6 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs 8. Plot Suary Lstng Reort 011 - requred. Fgure 8.1 Plot Suary - Sale Lstng. July 1, 014 8-7
Cruse Colaton Manual Mnstry of Forests, Lands and NRO Fgure 8. Plot Frequency - Sale Lstng. 8-8 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs 8.3 Plot Suary by Maturty Overvew and Lstng Ths reort s obsolete. July 1, 014 8-9
Cruse Colaton Manual Mnstry of Forests, Lands and NRO 8.4 Cruse Statstcs Overvew The Cruse Statstcs suary reorts volue and basal area statstcs for each Tber Tye n the colaton and for the entre Cuttng Pert. 8.4.1 Header nforaton 1. Lcense fro card tye A.. Cuttng Pert fro card tye A. 3. Forest Inventory Zone fro card tye A. 4. Unt # and Bloc fro card tye A. 5. Forest Regon and Dstrct fro card tye A. 6. Merchantablty requreents levels and excetons fro card tye B. 7. Message ndcatng whether colaton s for arasals or not. 8. Method of calculaton (Average Lne or Bloc) 9. Secal colaton essages for: a. Reducton colaton. b. Stu cruse colaton. c. Tree class cobnaton - useless volues are ncluded or excluded deterned by colun 15 of card tye B (0 or blan - snags excluded, 1 - snags ncluded). d. Selectve cut ndcator - whch trees to cole deends on colun 1 of card tye B (blan - nclude all trees, 'C' - nclude cut-ndcated and nonndcated trees, 'L' - nclude leave-ndcated trees). e. Wet/Dry belt ndcator - sale s n the wet belt or dry belt, deendng on colun 14 of card tye B (0 - no essage, 1 - wet belt, - dry belt). 10. Coler rogra nae and verson. 11. Cole date and te. 1. Page nuber. 8-10 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs 8.4. Tber Tye Inforaton For each Tber Tye reort. 8.4..1 Tye Inforaton Reort the Tye nuber, Seces cooston, Age class, Heght class, and Stocng Class fro card tye C. 8.4.. Tye of Plots Ether 'Fxed' or 'Prs' deendng on the tye of lots beng coled. If both fxed area and rs lots are used then reort 'Mxed'. 8.4..3 Nuber of Potental Trees Reort the nuber of stes lsted n lots fro the Tber Tye. If a ercent reducton s beng coled, reort the re-reducton aount. If border lots are n the tye, double the nuber of stes fro those lots. Reort to the nearest whole nuber. 8.4..4 Nuber of Measured and Count Plots Reort the nuber of easured lots and count lots n the Tber Tye. 8.4..5 Mean Net Volue er Hectare Tae the average of the estates fro the lots wthn the Tber Tye. V V 1 Where V Tber Tye volue/hectare. V Volue/hectare estate fro lot (refer to Secton 3.4..3). Nuber of easure lots n the Tber Tye. Reort to 1 decal lace. July 1, 014 8-11
Cruse Colaton Manual Mnstry of Forests, Lands and NRO Exale 8. The subscrts n the above suaton refer to the lots wthn the Tye. 'P1' eans 'startng wth the frst lot n the Tye' and '' eans 'endng wth the last lot n the Tye'. In ths exale, there are 3 easure lots n Tye 1. There are no count lots and no reductons beng coled. The average volue er hectare for the Tye s: V 1 (1048.47 + 88.07 + 76.08) / 3 867.54 3 er hectare 8.4..6 Mean Net Basal Area/hectare For the basal area er hectare, nclude count lots n the suaton nstead of accoodatng for count lots wth the double salng rato. b c 1 BA c b Tber Tye basal area/hectare, corrected for double salng. BA Basal area/hectare estate fro lot (see Secton 3.4.1. or 3.4..). Nuber of easure lots n the Tber Tye. c Nuber of count lots n the Tber Tye. Reort to 1 decal lace. 8.4..7 Standard Devaton for Volue - Measure Plots Only SD v V 1 V 1 1 8-1 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs SD v Standard Devaton for volue fro easure lots only. V Volue/hectare estate fro easure lot, not corrected for double salng (.e., do not aly DSR, see Secton 3.4.1.3 or 3.4..3). Nuber of easure lots n the Tber Tye. Reort to 4 decal laces. Exale 8.3 Usng the sae lots as were used n Exale 8.: V 1048.47 + 88.07 + 76.08 31181.43 1 1 V (1048.47 + 88.07 + 76.08) 6773630.864 SD v 31181.43 6773630.864 3 3 1 164.7794 8.4..8 Standard Devaton for Basal Area - All Plots Calculate the basal area standard devaton the sae as the volue standard devaton, but nclude the count lots. SD b c 1 BA c BA 1 c 1 c SD b Standard Devaton for basal area fro easure and count lots. BA Basal area/hectare estate fro lot (see Secton 3.4.1. or 3.4..). Nuber of easure lots n the Tber Tye. c Nuber of count lots n the Tber Tye. July 1, 014 8-13
Cruse Colaton Manual Mnstry of Forests, Lands and NRO Reort to 4 decal laces. 8.4..9 Coeffcent of Varaton for Volue - Measure Plots Only The coeffcent of varaton s the standard devaton dvded by the ean, exressed as a ercent. CV v SDv * 100 V Where SD v Standard Devaton for volue fro easure lots only (defned above e). V The average volue er hectare fro easure lots n the Tber Tye, not corrected for double salng (.e., do not aly DSR, see Secton 3.4.1.3 or 3.4..3) V 1 Reort to 1 decal lace. Exale 8.4 Usng the volue er hectare and standard devaton fro Exales 8. and 8.3, the coeffcent of varaton s calculated as: CV v (164.7794 / 867.54) * 100 19.0 8.4..10 Coeffcent of Varaton for Basal Area Calculate the basal area coeffcent of varaton the sae as the volue coeffcent of varaton. SD CV b b *100% b Where SD b Standard Devaton for basal area fro easure and count lots (defned above). 8-14 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs b The average basal area/hectare fro easure and count lots n the Tye (defned above). Reort to 1 decal lace. 8.4..11 Standard Error of the Mean Percent for Volue SEM v % SEM v * 100 V SEM v % Standard error of the ean for volue exressed as a ercent of the average volue. SEM v S v * FPC S v SD v V b S vb V b SD b 1 1 SD v c c S vb Covarance between volue and basal area for easured lots only. S vb V 1 BA BA V 1 1 1 SD b Varance of basal area a for easure lots only. SD b BA 1 BA 1 1 SD v Standard devaton for volue fro easured lots only (see Secton 8.4..9). b BA 1 tye average basal area/hectare fro easure lots only. V Average volue/hectare fro easured lots only (see Secton 8.4..9). July 1, 014 8-15
Cruse Colaton Manual Mnstry of Forests, Lands and NRO FPC 1.0 for Tyes saled usng varable lots, or N N 1 for Tyes saled usng fxed area lots. N Total nuber of ossble lots n the tye f 100% crused. Nuber of easure lots n the Tber Tye. c Nuber of count lots n the Tber Tye. Reort to 1 decal lace. Exale 8.5 Usng the Tye fro Exales 8. and 8.3, assue that there are 3 count lots. The basal area er hectare estates fro the 3 easure lots are; 10, 80 and 90 resectvely. The revsed ean volue er hectare based on double salng s 733.4. S vb 57409.90 * 60.6 3 1 3 911.3 SD b 890084100 3 1 3 433.33 S v 867.54 867.54 715.51 911.3 96.67 96.67 1 1 715.51 433.33 3 3 3 3 3 FPC 1.0 [715.5 555.3 + 34901.78](1/6) + 455.38 6158.51 SEMv 6158.51*1. 0 78.48 SEM v % 100 * (78.48 / 733.4) 10.7 8.4..1 Standard Error of the Mean Percent for Basal Area SEM b % SEM b * 100% b Where 8-16 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs SEM b % SEM b S b FPC Standard error of the ean for volue exressed as a ercent of the average basal area. SD b * FPC c Varance of Basal Area for all lots c 1 BA c BA 1 c 1 / c Fnte oulaton correcton 1.0 when salng usng varable lots N n N 1 when salng usng fxed area lots N Total nuber of ossble lots n the tye f 100% crused. n Actual nuber of lots saled Nuber of easure lots n the Tber Tye. c Nuber of count lots n the Tber Tye. Reort to 1 decal lace. 8.4..13 % Confdence Interval for Volue 95% CI v V SEM v % * t 1 t -1 t-value fro Aendx 11 wth -1 degrees of freedo. Reort to 1 decal lace. Exale 8.6 July 1, 014 8-17
Cruse Colaton Manual Mnstry of Forests, Lands and NRO Usng the standard error of the ean for volue fro Exale 8.5, and the t-value fro aendx 11 for 3-1 degrees of freedo, half of the 95 ercent confdence nterval for Tye 1 s: Half of the 95%CI v 10.7 * 4.303 46.0 8.4..14 % Confdence Interval for Basal Area 95 %CI b b SEM * t b C1 Where t +c-1 t-value fro Aendx 11 wth +c-1 degrees of freedo. Reort to 1 decal lace. 8.4.3 Cuttng Pert Inforaton 8.4.3.1 Cuttng Pert 95% Confdence Interval for Volue - All Plots 95%CI vc + 100 * r 1 V SEM c v * t (+c)- SEM v SEM v for Tye. r Proortonal area of Tye. r A A 1 Nuber of Tyes. Nuber of easure lots n the Cuttng Pert. C Nuber of count lots n the Cuttng Pert. t (+c)- t value fro Aendx 11 wth (+c) - degrees of freedo. Vc Average volue/hectare for the Cuttng Pert. 8-18 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs A 1 A 1 V Reort to 1 decal lace. Exale 8.7 Say the Standard Error of the Mean s 78.5 for Tye 1 and 45.0 for Tye. Tye 1 has 5 ha and Tye has 7.5 ha. The revsed ean s 733.4 for Tye 1 and 63.3 for Tye. There are 3 easure lots n each Tye. 0.16 x 616.5 0.36 x 05 95%CI vc 100* x.776 17.1 5 x 733.4 7.5*63.3 1.5 8.4.3. Cuttng Pert 95% Confdence Interval for Basal Area - All Plots 95%CI cb + 100 * r 1 b SEM c b * t (+c) - SEM b Average volue/hectare for the Cuttng Pert. SEM b for Tye. r Proortonal area of Tye. r A A 1 bc Average basal area/hectare for the Cuttng Pert. Ab 1 A 1 July 1, 014 8-19
Cruse Colaton Manual Mnstry of Forests, Lands and NRO Reort to 1 decal lace. 8.4.3.3 Cuttng Pert 95% Confdence Interval for Volue - Measure Plots Only 95%CI vc + 100 * r 1 V SEM c v * t - SEM v SEM v for Tye - easure lots only. SEM v SD v r Proortonal area of Tye. r A A 1 Vc Average volue/hectare for the Cuttng Pert - easure lots only. A V 1 A 1 Nuber of tber tyes. Nuber of easure lots n the cuttng ert. Reort to 1 decal lace. 8.4.3.4 Cuttng Pert 95% Confdence Interval for Basal Area - Measure Plots Only 95%CI bc + 100 * r 1 b SEM c b * t - 8-0 July 1, 014
Tber Prcng Branch Plot Suary and Cruse Statstcs SEM b SEM b for Tye, easured lots only. SEM b SD b r A A 1 Nuber of tber tyes. Nuber of easure lots n the cuttng ert. b Average basal area/hectare for the Cuttng Pert, easure lots only. c A b 1 A 1 Reort to 1 decal lace. July 1, 014 8-1
Cruse Colaton Manual Mnstry of Forests, Lands and NRO 8.5 Cruse Statstcs Lstng Reort 005b - requred. Fgure 8.3 Cruse Statstcs - Sale Lstng. 8- July 1, 014