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S  6T  _P    P*    68  _    R*  H  0޽h ? 3380___PPT10. V   8(    0 P   ^  >*   0    ^  @*   6h _P   >*   6D3 _   @* H  0޽h ? 3380___PPT10.W0+590   p 5a= (  `zF , a ,Z ` s *X99?,B ` 3  HB ` C % - HB ` C %-HB ` C %-HB ` C %_-`BB ` 3 %_&3BB ` 3 3%4BB ` 3  % BB ` 3 %BB ` 3 %BB ` 3 _%`BB ` 3 %3-4BB ` 3 %3&[BB ` 3 3[BB ` 3 [ 3\ [BB ` 3  3 [BB ` 3 3[BB ` 3 -3.[HB ` C m% `  BGCJDEFi+$G%$J%$ @`H9 `  BGCKDEFi+$G&$K&$ @` `  BGCKDEFi+#G&#K&# @`sq `  BGCKDEFi+#G%#K%# @`, s `  BGCKDEFi+#G&#K&# @` +E  ` <r o t,Cumulative Volume Killed in All 'Pine' Units,- ,F ` <w  G0* F ` <|  M  I250* F ` <4   I500* F ` <9 I I750* F ` <\=  J1000* F ` <; ? J2000* F ` < F 6R? J2005* F a <PD   ? J2010* F a <O m ? J2015* F a < T $? J2020* F a <PR ? J2025* F a <M    Lyear, F a B$b c  h timber volume (1000000's of m^3),!  FRz - 2 ` - 2,$D 0`B ` 0D|- - 2`B `B 0D|$  `  `g GHIJKLM!Nٱ "` ,) ,$D0 >Projected Kill `  `@` GDHU IJKLM9N "` @5  >Observed Kill  ` 0n "``K 7 Millions of m3 6$!  ` BH GH " dK,$D0 9~ 80%  ` 0 "`0 p` ,$D 0 }Dendroctonus ponderosae 2$   5` S ,Abeetle@0 l$@ 0>0>0 ` s * "`` :Cumulative Volume Killed on the Timber Harvesting Landbase ;( 2;2f a BuC DETF\m Ri/#0F w V =^ *$  u+,@p ,$@ 0 a 0  P  lSource: BC MoF, 2005 2 H ` 0޽h ??0`` ` 33___PPT10v.`"+D' & = @B D]' = @BA?%,( < +O%,( < +D1' =%(D' =%(DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*a%(D' =-}6B!strips(upRight)*<3<*aD8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-g6B fade*<3<*`D' =%(D' =%(DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =-}6B!strips(upRight)*<3<*`D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* `%(Dq' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*5`%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*5`D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*5`D' =A@BBBB0B%()))D' =1:Bvisible*o3>+B#style.visibility<* `%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* `D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* `++0+`0 ++0+ `0 ++0+ `0 +M 0 tl  l(  l l 0 @  F0    l < z F0   " l H GH  `     l BT      b D -  l 6  p___PPT9 6Advantages of Hybrid Approach: Natural Regen Following MPB  Dynamic - Process-based Model Tree Growth through Empirical Model Uses Existing Models &lllK:lKl  - - &   :   $$P@08XH l 0޽h ? [4y___PPT10Y+D=' p= @B +V 40   pf (  pd p c $   u  p s *H X  u@8___PPT9   Following MPB attack, stand structure changes quite rapidly over a short time period (15-20 year period)  some of the more dramatic changes will be seen in the composition of ground substrate (with increased snag fall-down) and changes in light levels in the regeneration layer  resulting in variable natural regeneration levels  both in the amount and composition. Thus, it would be advantageous to use a model that can simulate these processes and has the flexibility in the length of simulation cycles.  i.e., SORTIE-ND. Once we have accurate estimates of natural regeneration levels from the 15-20 years following MPB attack, using a growth model which uses empirically based growth functions would provide precise estimates of small tree and adult tree growth over the long term. PrognosisBC and Sortie-ND are two freely accessible models that have been modified for application to complex stand conditions in BC. Combining SORTIE s process-based regeneration submodel with the empirically based growth functions in Prognosis, gives us a  ready-made alternative estimation method. I" I&  s H p 0޽h ? ̙3380___PPT10.0]{ 0 /' t(  tx" t c $Z  `    t 6 \  0  *Zo t 6p  Pf^V___PPT980 Poor results with Regeneration Submodel No Post-MPB specific Mortality Submodel Not Spatially Explicit (i.e., Clumped vs. Even distribution) (@l(ll&l}llh &, CP@08XH t 0޽h ? 3fffff3̙3f̙___PPT10i.V+D=' p= @B +650  xF(  xd x c $   u x s *X$ 0d  uLD___PPT9&  The main disadvantage to using Prognosis to develop yield projections in unsalvaged MPB affected stands is: The lack of a good regeneration submodel Currently, for new regen to be added, the user must supply a regeneration tree list following a 10 year cycle. Ongoing work by Dr.Valerie LeMay at UBC has centred around using nearest neighbour techniques to impute regeneration  this method shows considerable promise, but results to date have been mixed. Furthermore, under the current NN techniques, the imputed regeneration list is a static  that is, it assumes that the amount of regeneration imputed at a given time will be representative of the long-term average for that particular stand  in the case of regen following MPB attack, this is a serious concern, as the variability in the amount of regen will likely increase. The PrognosisBC does not explicitly model many of the complex forest components (ie. Light, as is not distance dependent). Mortality is a function of social rank, diameter increment growth  and is reflective of the normal background mortality rates. However, any additional mortality (for example, in the form of MPB attack) cannot be explicitly introduced into the model  at present, PrognosisBC only has a Western Root Disease extension. Aspatial representation of stand  does not account for the effects of tree location in the stand (clumped versus evenly spaced distribution). The magnitude of disturbance and uncertainty around regeneration patterns will result in simulation results of low reliability. Prognosis treats regeneration as a single event that happens once in the 10 year time step.4mZ" Zm         m  j  e H x 0޽h ? 3380___PPT10.W) !0 ](  "  H>yGH  `  y '  B<@y  ` ` yH@___PPT9" M 0 -  6$Gy @p^,$0 ACrown Ratio (CR):   `G  \ "i P,$@0T [ c $X99? `,  ] 6tKy `  I , G@  sG  j sG BB ^ 3 jJC _ 6pPyK KX. G ` 6 Uy"G  Ke. G# a 6$Zys0 Ka. G# b 6P^y| ' p KR. G# c 6cy ~ p KC. G# d 6gy Kb. G e 6@fy- I-, G f 6qyu(  I+, G# g 6uyh Q I=, G# h 6@ty8G  I1, G# i 6oy  ' J, G#R  C *AIMG_3191 8   C *A100_3221p  ,$D0H  0޽h ? [4  ___PPT10 +×D| ' y= @B D7 ' = @BA?%,( < +O%,( < +D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D ' =%(D3 ' =%(Dc' =4@BB*BB%(D' =1:Bvisible*o3>+B#style.visibility<*\%(D' =-g6B fade*<3<*\D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*\D' =+4 8?bCB#ppt_y+.1BCB#ppt_yB*Y3>B ppt_y<*\Dp' =A@BB*BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?bCB#ppt_y+.1BCB#ppt_yB*Y3>B ppt_y<*+8+0+0 + 70   . (  d  c $   u  s *F   u After the preliminary results from the SORTIE simulations, it was clear that one point that we could easily improve upon was the crown allometry functions. So, after collecting a new set of data (including crown measurements) from MPB affected stands, I tried fitting the following non-linear model to the data. For now, I have only tested this model on pure pine stands, but plan to apply it to all species present. In the linearized form, we see the variables that I used, including H/D ratio, Ht, SPH, and elevation. It was hoped that by including a measure of density (SPH) that the model would better reflect the changes in Crown length that are seen from dense to open pine stands. I also tested other measures of stand density as possible variables to include in the model (including Curtis Relative Density, Basal Area, and Reineke s stand density index). Crown competition factor (CCF) would certainly be a variable I would like to test  I must go back an try this. @       H  0޽h ? ̙3380___PPT10.0]{I /0 ph (    0u@  F0     <uz F0   "  HuGH  `  u   Bu  0 u b D -  6u p^rjb___PPT9D< .Crown Width Model Other SORTIE-ND parameter adjustments Using new dataset Identification of  Hand-off point Efficient Linkage (SORTIE to Prognosis)9 " _K " _ " _KL " _K9 L  P@08XH  0޽h ? [4y___PPT10Y+D=' p= @B +<@0 L(  d  c $   u  s *u   u 6  H  0޽h ? ̙3380___PPT10.0]{ 00   F(   x"   c $xu `  u    c $ܶu  u "P@08XH   0޽h ? 3fffff3̙3f̙___PPT10i.$0~ +D=' p= @B + 10 0<(  R  C *ASlide170` x"  c $L#Y    Y    B   P   "P@08XB  0DjJ`  ,$@ 0B  0DjJ ,$@ 02  <No"`*  ,$D02  6o"`p ,$D0H  0޽h ? 3fffff3̙3f̙  ___PPT10 .$0~ +BDf ' p= @B D! ' = @BA?%,( < +O%,( < +D(' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D(' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*+sC0 @(  X  C      S (E 0T  <4___PPT9 A "-H  0޽h ? 3380___PPT10.(D0  P (  X  C       S b 0    Among the various models that may provide growth and yield estimates following MPB attack, I have focused my research on two possible candidate models for reasons that I will cover in the upcoming slides. The first candidate model is SORTIE-ND& a descendent of the SORTIE model originally developed for the deciduous forests of the eastern United Sates. The version of SORTIE that is being used in BC has been adapted to forests of northern British Columbia. - SORTIE-ND has generally been used as a forest ecology model and we are seeing it applied within a scientific research environment, and to a lesser extent for the development of growth and yield projections for harvesting purposes. The second candidate model is a variant of the FVS model, known as PrognosisBC. This model has been adapted from the Northern Idaho FVS model and calibrated to the south-eastern region of British Columbia. It is more often referred to as a forest management tool, and its application has generally been for purposes of timber yield projections and as a silvicultural decision support tool. NOTE: Neither of these models have been parameterized using data from MPB affected stands& and do not contain functions (with the exception of the Wiebull snag fall down rate) that have been explicitly developed to deal with MPB affected stands. -Forest management tool -Empirically based -Calibrated for Southern/Central interior BC -Applicable to simple and complex stands -Adopted by province to provide stand yield tables -Regen submodel = performed poorly $ L q H  0޽h ? 3380___PPT10.*  0` 33` Sf3f` 33g` f` www3PP` ZXdbmo` \ғ3y`Ӣ` 3f3ff` 3f3FKf` hk]wwwfܹ` ff>>\`Y{ff` R>&- {p_/̴>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>> 0H(  0 0 6Y  " `} Y  T Click to edit Master title style! !$ 0 0Y  " ` Y  RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S 0 0Y  "^ ` Y  >* 0 0`Y  "^  Y  @* 0 0@dY  "^ ` Y  @*" 0 <8Y GH " H 0 0޽h ? 3380___PPT10.,0 Default Design 40 8@f(  @ @ 0C @  F0    @ <$G z F0   r" @ S H     L 8@ 6TD  PTLD___PPT9& Calibrated using local data Designed for complex, mixed stands Includes Site factors  transportable Government supported model Tll P@08XH @ 0޽h ? [4y___PPT10Y+D=' p= @B + G0   D& (  Dd D c $     D s *i   ___PPT9d\ ~ Why is Prognosis a Candidate Model for this problem? The advantages provided by Prognosis in terms of providing G&Y estimates for MPB affected stands are as follow: All of the growth and allometry functions in Prognosis have been calibrated to BC s south-eastern region  a region of the province that is one of the hardest hit areas. Model calibration was performed using large datasets, and growth estimates have proven to be very similar to observed growth. (note that no functions have been calibrated specifically to stands affected by MPB) PrognosisBC has been designed for use in both even or uneven-aged and single or mixed-species stands  and is thus suitable for the regions being attacked by MPB (expect to see more uneven-aged, mixed-species stands following MPB attack). System is accessible  can be downloaded from the government website Support documentation and staff provided by ESSA (consultants) Supported by provincial government Includes site factors (slope, aspect, elevation)  thus, it is transportable to locations outside of the range to which it has been calibrated. " b--" 5pb  Q H D 0޽h ? ̙3380___PPT10.0]{4 50 [SH(  H H 0u@  F0    H <huz F0   " H HuGH  `  u  H 6Pu p A/Data For Preliminary Analyses: Natural Resource Canada (Brad Hawkes) - MBPI Funding: British Columbia Forest Science Program Supervisor: Dr. Valerie LeMay Committee Members: Peter Marshall, Bruce Larson, Dave Coates Preliminary Analysis: Prognosis Technical Support: Robyn Scott Donald Robinson, ESSA / -- ( *$,=RP@08XH H 0޽h ? [4y___PPT10Y+D=' p= @B +<H0  LL(  Ld L c $    L s *    6  H L 0޽h ? ̙3380___PPT10.0]{% 70 $$P1X$(  X X 0ly@  F0   " X HDyGH  `  y  X 6y pnf^___PPT9@8  p  - -  P@08Xx ~X <A ??   F P0  X ` Z X s *X99?P0 HB X C 8Ih X < ip!  S Elevation.  G X <2!G  Kg. G X <hpB !  OSlope. G X <t3% !^   Kf. G X <Ȅp!   MSPH. G X <\p!  Ke. G X <lp"!  MCCF. G X <ԥp<!  Kd. G X <0p@O = LHt. G X <p) O = Kc. G X <Իp O^ = KD. G X <p O* = KH. G X <pw O = Kb. G X <pQU LCR. G X <ps  I, G X <p9  I+, G X <    I, G X 6p `   I+, G X <<  w I, G X <x%  e I+, G X <%  D I, G X <`7 C7$ I+, G X <x;  7$ I, G X <7  7 $ I+, G X <0W  7l $ I, G X <Y 7N $ I+, G X <8f  7y$ I=, G X <|w I6 I, G X <{  I, G X <xq  I, G X < I,6 I, G X < , I, G X <t , I, G X < 7 $ I-, G X < f!  dln, G X < g O = I/, G X < 7 I0, G X <H O= I1, G X <p   I1, G X < 9O= dln, G X <d 7%$ Kb. GH X 0޽h ? [4y___PPT10Y+D=' p= @B +J0 F>`\(  \d \ c $   2 \ s *x    h The I-square value from the linearized model was 0.33 and the Standard Error of the Estimate was 0.17. &   B H \ 0޽h ? ̙3380___PPT10.0]{@ 80  pQ(p~(  `r"  ` S r  `    Q( T  "`<$D0   Tested SORTIE-ND using CFS data (R. Scott) (1987, 2001) SORTIE behaviour selection: O/S + U/S + Initial Mortality + Subsequent Mortality Non-spatial Seed dispersal Number of Seeds = f (Basal Area parent trees) Proportional Seedling Establishment Light dependent mortality +5% $ % 95-YP@08XH ` 0޽h ? [4  ___PPT10 +ˬD ' p= @B DM ' = @BA?%,( < +O%,( < +D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*Q(%(D' =-g6B fade*<3<*Q(D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*Q(%(D' =-g6B fade*<3<*Q(D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*Q(%(D' =-g6B fade*<3<*Q(D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*Q(%(D' =-g6B fade*<3<*Q(+K0 JBd(  dd d c $   6 d s *     VThe dataset used in these initial SORTIE runs included data provided by the Canadian Forest Service, and included tree measurements that were collected in 87 in stands that had been attacked by MPB 4-5 years earlier. Most of these plots (those that were not salvaged logged) were re-measurement in 2001  and included measurements taken from the overstory, understory and regeneration layers. Thus, we could run the SORTIE simulations using the 87 dataset and compare our predicted results versus the measurements observed in 2001 (Simulations were run for 15 years) SORTIE Behaviours that were selected for this project: A non-spatial Seed dispersal behaviour was used  meaning that the location of parent trees was not taken into account when dispersing seeds. Seed-fall values used in the model were based on mean seed-fall values calculated as a function of parent tree basal area. Establishment was based on a proportion of the amount of seeds dispersed  values were chosen from a study completed in northern BC, and did not take into account substrate dependencies. The Light dependent mortality behaviour  which acts mainly on the seedling/sapling level  was tested as  active and as  non-active . The choice to turn  off the light dependent mortality behaviour was taken as most, if not all regenerating pine trees were being killed-off when the light dependent mortality behaviour was active. It seemed like the light tolerance levels for pine had bee set quite low in the model. Work on the hybrid model approach began under the federal Mountain Pine Beetle Initiative  and was offered as a possible alternative to Nearest Neighbour methods of regeneration imputation for Prognosis. Much of this preliminary work was completed by a former grad student, Robyn Scott. To simulate as best as possible, the stand conditions following MPB attack, we tried different behaviours in SORTIE and examined the regeneration layer outputs. (oq  H d 0޽h ? ̙3380___PPT10.0]{ ;0 x1(  xx" x c $hQ^ G pP  ^  y x S Z^  T ^ <4___PPT9 Episodic Mortality Behaviour One year cycles for simulated runs Post-MPB specific snag fall down function Light mediated modellP P@08XH x 0޽h ? 3fffff3̙3f̙___PPT10i. =S+D=' p= @B +t20 (  X  C      S 8 0   British Columbia is currently in the midst of a mountain pine beetle epidemic, which has presented many challenges to the forestry sector. Dendroctonus ponderosae, is endemic to the province. Over the past 20 or so years, the beetle s population numbers have continued to increase at an alarming rate. Historically, the beetles effects have been generally been restricted to mature lodgepole pine trees, as they can burrow into these trees more easily (more furrows). Records from previous outbreaks have shown that stands composed of younger lodgepole pine trees (<40 years) went relatively unscathed, as these trees could pitch out any beetles that tried to burrow into the tree. To give you an indication of the current conditions& Under the current epidemic, the beetles numbers are so large that the even younger pine trees have not been able to fend off the repetitive attacks. Based on the province s projections, the current outbreak is expected to run its course by 2014, after which it is anticipated that the beetle will have essentially eaten itself out of house and home and its population numbers will begin to decline. Estimates put the total cumulative volume killed by the beetle will at roughly 80% of the provinces harvestable timber volume. Expect to major uplift in the amount of pine harvested over this period, as we try to salvage what we can from affected stands. However, the expected uplift will place an enormous strain on our forestry resources (i.e., infrastructure) and we expect mills to be operating at capacity throughout this time. Furthermore, the expected shelf live of affected pine trees is anywhere between 5 and 15 years, depending on the local environment. So, we simply can t keep up with the pace of the beetle and as such, a large proportion of the stands will go unsalvaged. Problem Statement: These unsalvaged stands represent where the province s mid to long  term timber supply will come from, thus we need good estimates of how these stands will regenerate in order to obtain long term projected yields. Available growth and Yield models have provided poor estimates of regeneration following MPB attack  we must find ways improve our estimates. Important for mid- to long term timber supply - uncertainty v<-'  i .   ,  ?H  0޽h ? 3380___PPT10. = xB L0 V N  (  X  C    N   S ߵ 0`  H@___PPT9" The Episodic mortality behaviour can be used to simulate tree mortality following MPB attack  generally, trees that are attacked by the beetle are dead within 3-4 years. There is flexibility in the length of time over which the simulated runs are conducted  a feature that will be useful in the simulation of regen following MPB, as we are seeing highly variable regeneration lag times. As I mentioned, a snag fall down function has been developed to deal specifically with pine trees in MPB affected stands (Wiebull equation). Sortie is a light driven model and allows the user to select from a wide range of behaviours (none which have default parameter values  the user must provide the parameters), thus, simulated runs can (hopefully) capture the complex nature of regeneration following MPB attack. Light as a function of species specific light transmission Growth as a function of light availability Mortality as a function of recent growth rates Regeneration as a function of parent tree proximity and seedbed substrate , "  H  0޽h ? 3380___PPT10. =p0r ?0 ` (  x"  c $\h^  `  ^    s *        !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~d ^ LD___PPT9& kHas not been calibrated for study area Less precision in G & Y estimates Over-simplified crown allometry 8jldlj P@08X  6^  ,$D0 D4. Used Less (?)Z L 0 ZA ? ? "`,   $D0 ^ dA   0A ? ?"`  ,  $D0dAH  0޽h ? 3fffff3̙3f̙  ___PPT10 .V+cDgD ' p= @B Dj ' = @BA?%,( < +O%,( < +D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-g6B fade*<3<* D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*+  =0   V(  x"  c $y `  y   6-y 0  *ZX  S X7y T y<4___PPT9 ZBath seed rain function Height/DBH allometry Light-dependent mortality Crown allometry "[lZ P@08XH  0޽h ? 3fffff3̙3f̙___PPT10i.V+D=' p= @B +N0  0(  d  c $      s * 0T  <4___PPT9 V "" H  0޽h ? 3380___PPT10.Wz P0   p (  d  c $     s *Y  0T  <4___PPT9 0The first disadvantage of using Sortie for the prediction of regeneration in MPB affected stands is that the model has been calibrated using data from BC s northern forests  the study area is much drier and the growth rates are slower. Empirically based models, such as Prognosis, provide more reliable yield estimates than SORTIE when addressing conditions for which empirical relationships have been developed such as the study area. Simplistic approach to tree allometry functions  i.e., crown allometry functions (crown width a fn of dbh and crown height a function of ht)  note the absence of a measure of stand density / relative stand density to factor in the effects of crown shyness. Also, functions do not explicitly take into account site conditions. Although SORTIE ND is freely available (including user manuals) it has only seen limited use among G&Y users  it has been used more in a scientific setting. Furthermore, the BC MoF does not provide support for SORTIE. " ,'H  0޽h ? 3380___PPT10.W0 |t (  X  C    t  S   0   For: Forest Vegetation Simulator Conference: Feb 13th  16th, 2007. Fort Collins, Co Good afternoon everyone! I am a graduate student in the faculty of forestry at the University of British Columbia, in Vancouver, Canada. My presentation will be on the topic of modelling natural regeneration Mountain Pine Beetle affected stands. 6N3 >H  0޽h ? 3380___PPT10. =Ѐ/n A0 P(  r"  S .  `     S /   <$@0   H  0޽h ? 3fffff3̙3f̙ph___PPT10H.VC +ED' p= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*+DQ0 T(  X  C    Y    S   0  Y nf___PPT9H@  - Within 2-3 years following MPB attack, pine trees are said to be in red-attack. At this point they are dead, and depending on environmental factors, snag fall down rates can range from 5 to 15 years following MPB attack (i.e., under conditions such as dry summers, and cold winters snags will remain standing for longer periods of time). -following fall down, we generally see small tree release in stands where there are spruce and/or douglas fir in the understorey. -The high variability in the fall down rates coupled with the small tree release creates very dynamic light conditions in the regeneration layer. Thus, the survival and growth of seedlings in these stands will be highly variable  this is particularly true of regenerating lodgepole pine trees (shade intolerant). -Initial estimates placed the regeneration delay at 15  20 years& however, in pure lodgepole pine stands that have 100% mortality, we may see a shorter regeneration delay as stand break-up may be quicker. - MPB has accentuated the variability seen in natural regeneration& Attempts at estimating natural regeneration levels have met with limited success and we have found that it is very difficult to capture the variability in regeneration levels following MPB. Not all MPB affected stands should or will be salvaged - Exceeds capacity - Conservation Stand Dynamics Affected by MPB: Mature Tree Mortality: Trees remain standing 5-15 years Variable fall-down rates Small tree release - Expect 15-20 year regeneration delay  PP-P9PM-P'-PP 9  M'0H  0޽h ? 3380___PPT10.VCs*Q C0 G(    B 8c"`P Z Input data: tree list, site info! !2  BH 8c"`,$@0 dSmall trees Ht then DBH growth*  2  B~ 8c"``,$D0 dLarge Trees DBH then Ht growth*  ;2  BDz 8c"` XX,$D 0 Mortality Competition, dbh, etc*   2  B 8c"` ,$D 0 GChange in Crown 2  B 8c"` ``,$@0 D Regeneration      BX 8c"`0 ,$D0 ?results  ! B0 8c"` ` ,$D0 @Thinning    $ BP 8c"`0 ,$@0 A smoothing    % BGH I8c0!( ,$@ 0 & <GtHIt8c0 k,$D 0" ' <ZHI8c ,$@ 0" (@ BZGE'HI-8cp ,$@ 0 9@ BZGJHkIJ8c,$@  0 : BZG`"HQI`"8c,$@  0 ; BZG#HI#8c X X ,$@  0" < BG)HI8c(p Xp,$D 0" =@ BGHI9 8c  ,$D 0 > BZG#HI#8cX X ,$@ 0 ? BGcHMIc8c( 8( ,$@ 0 @ B V"`0 rPROGNOSISBC Model Flow@   B F s *D>` p,$D0B G s *D>` ,$@0H  0޽h ?`$%$&'( 9 : ;<!= > !? [4B<:<___PPT10<+%D:' p= @B D9' = @BA?%,( < +O%,( < +D ' =%(Dh ' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B%strips(downRight)*<3<*(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*'%(D' =-6B#strips(downLeft)*<3<*'D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D' =%(D(' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%%(D' =-6B#strips(downLeft)*<3<*%DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*&%(D' =-6B%strips(downRight)*<3<*&D' =%(D(' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*9%(D' =-6B%strips(downRight)*<3<*9DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*:%(D' =-6B#strips(downLeft)*<3<*:D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D5' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*;%(D' =-6B%strips(downRight)*<3<*;D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D3' =%(D' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-6B#strips(downLeft)*<3<*<D5' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*>%(D' =-6B%strips(downRight)*<3<*>D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-g6B fade*<3<* D/' =%(D' =%(D?' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*?%(D' =-{6Bstrips(upLeft)*<3<*?D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*!%(D' =-g6B fade*<3<*!D' =%(D' =%(DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*=%(D' =-}6B!strips(upRight)*<3<*=D%' =%(D' =%(D0' =4@BBBB%(D' =0l9 BBBB*<3<*<D=' =A@BBBB0B%(D' =0l9 BBBB*<3<*D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*G%(D' =-g6B fade*<3<*GD+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*F%(D' =-g6B fade*<3<*F++0+0 ++0+0 ++0+0 ++0+0 ++0+0 ++0+0 ++0+ 0 ++0+!0 ++0+$0 +B R0   R (  d  c $   Y    s *H    Y  <  The conceptual model flow of Prognosis is as follows: We begin with a tree list and site information  tree level model (growth applied to individual trees) We then proceed to grow the trees, with Small trees (<7.5cm DBH or 3in DBH) grown with height increments on a five year cycle, and Large trees (>7.5cm dbh) grown with DBH increments on a 10 year cycle. A smoothing of the height growth from small trees to large tree occurs  accomplished by using a weighted ave of small tree and large tree ht growth equations. Crown ratios are adjusted using a function that includes CCF (a measure of relative stand density). Tree mortality occurs after growth and is a function of post-growth conditions Prognosis will grow saplings that are included in the initial tree list, but it does not For new Regeneration to be added to PrognosisBC, users must enter a regeneration tree list (i.e., stocking density)  this addition can only occur at the end of cycle  10 years. And then we wind up with our results, which can then be adjusted to specific management plans (i.e., thinning). We then begin the cycle over again. Regen from sortie tied to Overstory from Prognosis at the stand level (i.e., unique stand id),7/-f@5     H  0޽h ? ̙3380___PPT10.0]{OE0  :(    B| V"`0 oSORTIEND Model Flow@    BX 8c"` ` YInput data: tree list, location   2  Bx 8c"`P0 ,$@0 h"Seedling/Saplings Diameter then Ht*# 2  B 8c"` 0 ,$@0 dLarge Trees DBH then Ht growth*  2  B| 8c"`0  ,$D 0 KChange crown size   BG1HؽI18ch,$@ 0   <GK+HQIK+8c( `,$@ 0 !@ BZGHI8c8 h ,$@  0 " BZGԋH.Iԋ8c8 ` ,$@  02 # B̯ 8c"`0 @,$D0 C Mortality   2 $ BX 8c"`P 0,$@0 F Regeneration    % B 8c"``0 ,$D0 Aresults " & BG)H`I8cp (,$@ 0 ' BZGNHIN8cHX X X,$@ 0 ( BZGTHIT8c X X ( ,$@ 0" 1 <HVI"8c ,$D  0" 2 6HI>8c (,$@  02 3 B 8c"`` ,$D0 ?Light  5 B4 8c"` ,$D0 BStem Map    6 BZGIHII8ch ,$@ 0 7 B 8c"` ` ,$D0 BThinning   " 8@ BGfHwI|8cH ,$D 0 9 BGcHIc8c( 8( ,$@ 0H  0޽h ?55 !"$&#%'#(3132568%79 [4::___PPT10:+]2D?8' p= @B D7' = @BA?%,( < +O%,( < +D3' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*6%(D' =-6B#strips(downLeft)*<3<*6D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*5%(D' =-g6B fade*<3<*5D ' =%(D ' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-6B%strips(downRight)*<3<* DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B#strips(downLeft)*<3<*D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*3%(D' =-g6B fade*<3<*3D@' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*2%(D' =-6B%strips(downRight)*<3<*2DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*1%(D' =-6B#strips(downLeft)*<3<*1D' =%(D(' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*!%(D' =-6B%strips(downRight)*<3<*!DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*"%(D' =-6B#strips(downLeft)*<3<*"D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-g6B fade*<3<*D3' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-6B#strips(downLeft)*<3<*(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*#%(D' =-g6B fade*<3<*#D ' =%(Df ' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*&%(D' =-6B#strips(downLeft)*<3<*&D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-g6B fade*<3<*$DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*'%(D' =-6B#strips(downLeft)*<3<*'D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%%(D' =-g6B fade*<3<*%D/' =%(D' =%(D?' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*9%(D' =-{6Bstrips(upLeft)*<3<*9D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*7%(D' =-g6B fade*<3<*7D' =%(D' =%(DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =-}6B!strips(upRight)*<3<*8D' =%(D' =%(D=' =A@BBBB0B%(D' =0l9 BBBB*<3<*$+0+0+0 ++0+0 ++0+0 ++0+#0 ++0+$0 ++0+$0 ++0+%0 ++0+30 ++0+50 ++0+70 +HS0 0X(  d  c $     s *8u^     B^The conceptual model flow of SORTIE-ND (as used in for this project) is as follows: Begins with an input tree list and geographical location (i.e., latitude) Tree lists can be spatially explicit (i.e., x, y coordinates) or aspatial (in which case an algorithm will be used to assign an x,y coordinate system) Seedling and Sapling diameter growth is added first, For adult trees, diameter growth is also added first and is a function of light and diameter& for both small and large trees, height growth is added following diameter growth The amount of Light (in the form of a Global light index) received by each section of growing space is one of the variables that goes into the growth function for diameter and height. A model that can simulate the amount of light reaching the regeneration layer following MPB affected stands will be of particular benefit in predicting regen as we expect to see regenerating pine trees many of these stands (where normally we would not see shade intolerant pine seedlings growing). Following growth, crown dimensions are adjusted based on tree height and dbh& note however, that no measure of relative density is used in the crown allometry functions. If selected, seedling mortality in SORTIE is a function of growth and the amount of light reaching the seedlings. Sortie also allows the user to introduce episodic mortality events (by % or absolute volume, BA). A function to describe the subsequent fall-down rates of dead adult trees post MPB attack has recently been developed Natural Regeneration is controlled through various behaviours, including: seed dispersal that may be function of parent tree basal area or the user can chose to use a constant fall of seeds  a behaviour that is useful in stands following MPB attack, as dead trees are continue to contribute seed; finally there is seedling establishment, which is a function of light and substrate (newly established trees are given a slightly randomized D10). So, SORTIE provides a range of behaviours that can be used to simulate natural regeneration in MPB affected stands  thus, providing a dynamic approach to regeneration imputation. At the end of a simulated run, we are provided with stand and stock tables by species and dbh class. Regen from sortie tied to Overstory from Prognosis at the stand level (i.e., unique stand id)6Uz-a ht  7  $  s  p H  0޽h ? ̙3380___PPT10.0]{O G0  `n4(  4" 4 6ԉ  "`@ CHybrid Model Flow 4 BP )g L$0    4 0! 8c"` 1Sortie-ND O/S + U/S tree list (from field data)42   4 <<& X K-. F 54 <X+ : x  YTime 1 (MPB attack)* D, 64 3 B$CBDE F*8c[[2[2[B$![@`"`,$D 0, 74 3 B3CDDE F*8cff3f3fD3"f@`"` 0 ,$@ 0, 84 3 BCDDE F*8c113131D"1@`"` P` ,$@ 0 C4 c &BCEDEF !/25 8 FZm.~AUkEl,9FSO_lx%_Wg %1@eO \ g] r { k   ;X {rlh\OmA2!Q_QznbU(HY;/! 1VZ]aze*4n@ u$=0;GRN]rsF eg$V(++;+( $! o   d   n1vq[hP)E:.s": h8 gD#reYM@5+y"qk dgcec 9 EL9ad@   `@`"` ,$D  0H ]4 c B-CfDE$F01 f##ff*-**@`@`"`x ,$@ 0B _4@ 6DԔ1@,$@ 0 `4 <l2 >"`P,$D0 F Defined by ? 2  c4 s *5 8c"`  3PrognosisBC O/S + U/S tree list (from field data)`4   W d4 s *< 8c"`0 ,$@0 KSortie-ND New O/S + U/S tree list following simulation New SeedlingsTL   -x e4 s *B 8c"` 0 ,$@0 PPrognosisBC New O/S+ U/S tree list following projection Imputation from SORTIEpQ   , B f4 s *DV0 ,$@0B g4 s *DV0 ,$@ 0 h4 6|L 0 @ ,$0 ^Time 2 (Post MPB attack)* DD i4 s *Q 8c"` P,$@0 >PrognosisBC O/S + U/S + New Seedlings projected in PrognosisN?   1H j4 c B-CfDE$F01 f##ff*-**@`@`"`x 0 ,$D 0B k4 s *DV0 ,$D 0 m4 0lY pZ 6Regeneration submodel  off , 2  n4 6Pd 0  ,$0 PTime 3. FH 4 0޽h ? [4E2=2___PPT102+X-D0' r= @B Dl0' = @BA?%,( < +O%,( < +DB' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*74%(D' =-6B%strips(downRight)*<3<*74DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*64%(D' =-6B%strips(downRight)*<3<*64D' =%(D)' =%(D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*d4%(D' =-g6B fade*<3<*d4D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*h4%(D' =-g6B fade*<3<*h4D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*f4%(D' =-g6B fade*<3<*f4D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*e4%(D' =-g6B fade*<3<*e4D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*e4 %(D' =-g6B fade*<3<*e4 D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*e4 9%(D' =-g6B fade*<3<*e4 9D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*g4%(D' =-g6B fade*<3<*g4D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*k4%(D' =-g6B fade*<3<*k4D' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*C4%(D' =-6B#strips(downLeft)*<3<*C4D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*e4:Q%(D' =-g6B fade*<3<*e4:QD:' =%(D' =%(DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*]4%(D' =-}6B!strips(upRight)*<3<*]4DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*j4%(D' =-}6B!strips(upRight)*<3<*j4Du' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*84%(D' =-6B%strips(downRight)*<3<*84D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*i4%(D' =-g6B fade*<3<*i4D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*n4%(D' =-g6B fade*<3<*n4D3' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*_4%(D' =-6B#strips(downLeft)*<3<*_4D8' =A@BB BB0B%(D' =1:Bvisible*o3>+B#style.visibility<*`4%(D' =-g6B fade*<3<*`4+P+0+`40 ++0+d40 ++0+e40 ++0+h40 ++0+i40 ++0+n40 +T0 <4p8(  8d 8 c $   ( 8 s *@^  d  LD___PPT9& b^The conceptual model flow of the proposed Hybrid Model: We begin again with a tree list that includes adult, sapling and regen trees. The same tree list is input into both SORTIE and Prognosis. This tree list is collected from stands that have just recently been attacked by MPB (1-3 years post MPB attack)  identified here as  Time 1 . The Simulation in SORTIE will proceed with the appropriate behaviours selected  those that are representative of stand conditions following MPB attack. The Prognosis runs will be initiated with the regen submodel turned  off . The simulations will be run for equal lengths of time (the length of time over which to run the models is unclear at this point  likely between 15 and 20 years)  defined here as  Time 2 . The tree list in Prognosis at  Time 2 will be updated with a new list of seedlings and saplings obtained from the SORTIE simulation. Currently, the regeneration submodel for PrognosisBC requires that the user supply the amount and composition of regeneration. Within this submodel, it is assumed that shade-intolerant trees such as Pine are a minimum of 30cm tall. Thus, new seedlings imported from SORTIE must be a minimum of 30cm. From this point in time, the Prognosis simulation will contain an updated regeneration tree list that is (hopefully) an accurate reflection of the amount and composition of regen in the years following MPB attack. The simulation run until  Time 3 will be completely within the PrognosisBC model, and will (again, hopefully) provide accurate mid-to-long term yield projections for stands that have been affected by MPB. One of the more important outstanding questions is how long to run the simulations, starting from Time 1 up until the estimated amount and composition of regen from SORTIE is imported into Prognosis. Ideally, we would like to run it for a period of time that would allow us to capture the large amount of variability in regeneration levels (particularly for any lodgepole pine regen, as pine regen levels will be largely dependent upon how fast the canopy closes in  either with understory species such as douglas fir and engelmann spruce, or from advanced regen pine that was not attacked by MPB. <9" [" 9w"  q  g  >      G H 8 0޽h ? ̙3380___PPT10.0]{COK0 JJ{f]@6J(  \` m\ s *X99?"` H n\ 3 "`g@B o\ C V|~|:B p\ 3 |X|~:B q\ 3 aX|b:B r\ 3 FX|G:B s\ 3 +X|,:B t\ 3 X|@B u\ C V|| ~:B v\ 3 ||~:B w\ 3 |:B x\ 3 | ":B y\ 3 |r t :B z\ 3 | @B {\ C V| | |\ # B$C$DEF5%$$ @`"` }\ 3 B$C$DEF5%$$ @`"`K ~\ 3 B$C$DEF5%$$ @`"` \ 3 B$C$DEF5%$$ @`"` 0F \ 3 B$C$DEF5%$$ @`"`>y \ 3 B$C$DEF5%$$ @`"` \ 3 B$C$DEF5%$$ @`"`wK \ 3 B$C$DEF5%$$ @`"` \ 3 B$C$DEF5%$$ @`"`xYT \ S "`_aT \ S "`aT \ S "`_aT \ S "`_aT \ S "`_aT \ S "`_aT \ S "`_jT \ S "`_jT \ S "`_jT \ S "`_a \ 3 B$C$DEF5%$$$ @`"`_' \  B$C$DEF5%$$$ @`"`_a \  B$C$DEF5%$$$ @`"`_s \  B$C$DEF5%$$$ @`"`_s \  B$C$DEF5%$$$ @`"`_a \ 3 B$C$DEF5%$$$ @`"` U \ 3 B$C$DEF5%$$$ @`"`_a \ 3 B$C$DEF5%$$$ @`"`_ \ 6"` `  mHt Class = 0.1-0.5cm < DF  \ <"`. K0. F   \ <"`& N2000. F   \ <\0"`&k N4000. F   \ <."`&P N6000. F   \ <:"`&5 N8000. F   \ <>"`a[ K0. F   \ <C"`P$[ N2000. F   \ <H"`v[ N4000. F   \ <HQ"` [ N6000. F   \ <U"`F  [ N8000. F   \ <Z"`m J dObserved Stems Per Hectare. F \ B_"`gM W Predicted SPH.  FT \ S V"`+  \ 3 B$C$DEF5%$$ @`"`y   \ <8e"`H, \ TLodgepole Pine* DT \ S "`< m \ <j"` ,  TOther Conifers* D \ 3 B$C$DEF5%$$$ @`"`  : \ <to"`, { VDeciduous trees.* D \ <hh"` Ya Ha)* F R \ s *X99? @@H \ 3 "`, @B \ C V pq:B \ 3 Mp:B \ 3  Mp :B \ 3 W MpY :B \ 3  Mp @B \ C Vp} :B \ 3 pq#:B \ 3 qs#:B \ 3 {}#:B \ 3 } ~ #@B \ C V p  \ 3 B$C$DEF5%$$ @`"`} \ 3 B$C$DEF5%$$ @`"`1 Wf  \ 3 B$C$DEF5%$$ @`"` 4i  \ 3 B$C$DEF5%$$ @`"`   \ 3 B$C$DEF5%$$ @`"`w 3  \ 3 B$C$DEF5%$$ @`"`   \ 3 B$C$DEF5%$$ @`"` 4 F \ S UF \ S UF \ S UF \ S UF \ S UF \ S UF \ S UF \ S UF \ S UF \ S U \ 3 B0C0DEF5%000 @`"`O# \ 3 B0C0DEF5%000 @`"`M# \ B0C0DEF5%000 @`M# \ B0C0DEF5%000 @`M# \ B0C0DEF5%000 @`M# \ 3 B0C0DEF5%000 @`"` \ 3 B0C0DEF5%000 @`"`M# \ 3 B0C0DEF5%000 @`"`_# \ <ą A  XHt Class = 1.0-1.5* D \ <4G- K0. F   \ <f ^  M500. F   \ <L   N1000. F   \ < 0  N1500. F   \ <`U K0. F   \ <y` M500. F   \ <y` N1000. F   \ <y`  N1500. F   \ < y   dObserved Stems Per Hectare. F \ ByT d  XPredicted SPH. F \ <XyF u  Lc). F   ]] <A ??  8 $D0x ^] <A ??@    dN `] C V"`0  a] 3 B$C$DEF5%$$ @`"`~  b] 6y"`M P  TLodgepole Pine* DN c] C "`A r  d] 6 y"`   TOther Conifers* D e] 3 B$C$DEF5%$$$ @`"` ? f] 6%y"`  VDeciduous trees.* DH \ 0޽h ? [4-%___PPT10+`rD' p= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D+' =4@BB BB%(D' =1:Bvisible*o3>+B#style.visibility<*]]%(D' =-g6B fade*<3<*]]+V0 H@`(  `d ` c $   ^ 4 ` s *    ^  Predicted versus Observed Stems Per Hectare for 2 different Regen Ht Classes (a. 0.1-0.5cm, and b. 1.0-1.5cm)  in the Sub-Boreal Pine Spruce Region. Again, we see an overestimation in the densities of Pine seedlings, particularly in the smaller height classes. Generally, predicted values improved with larger height classes& and again we see an underestimation of other conifers and deciduous species, though this was likely due to Results tended to be better in the SBPS forest region  however, the sample sizes were rather small (6 and 9). 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