An investigation of product form

1984 ◽  
Vol 14 (6) ◽  
pp. 768-774 ◽  
Author(s):  
P. Roebbelen ◽  
V. G. Smith

Product form (P) of a tree has been defined as the product of diameter-outside-bark at midheight above breast height (d) and total height (H) (P = d × H). It is used along with diameter breast height (D) in product form volume equations (VPF = f(P,D)) for estimating individual tree volumes. It is hypothesized that for each coniferous species, there exists some optimal height at which a diameter measurement can be taken and used in a product form term to estimate the inside-bark volume with minimum error. Regression equations and simpler expressions of the form V = D2 × H × F were developed for red pine (Pinusresinosa Ait.), white pine (Pinusstrobus L.), jack pine (Pinusbanksiana Lamb.), and black spruce (Piceamariana (Mill.) B.S.P.) using six upper diameter locations. The optimal location of the upper diameter was found to be 50% of the total height for red pine and white pine and 47% of total height for jack pine and black spruce. Product form is redefined as P = d* × H where d* = diameter-outside-bark at that average relative height on the tree where d* = (2 × V)/(D × H) as determined from a small sample of scaled trees, for each species and H = total height of tree.

2006 ◽  
Vol 36 (10) ◽  
pp. 2474-2485 ◽  
Author(s):  
Robert G Wagner ◽  
Andrew P Robinson

The influence of the timing and duration of interspecific competition on planted jack pine (Pinus banksiana Lamb.), red pine (Pinus resinosa Ait.), eastern white pine (Pinus strobus L.), and black spruce (Picea mariana (Mill.) BSP) was assessed using 10-year growth responses in a northern Ontario experiment. Stand volume was 117%, 208%, 224%, and 343% higher for jack pine, red pine, white pine, and black spruce, respectively, with 5 years of vegetation control than with no vegetation control. Stand volume increased linearly with number of years of vegetation control, and the slope of the relationship varied among conifer species. Change-point regression analysis was used to derive segmented weed-free and weed-infested curves, and to simultaneously estimate key critical-period parameters. Weed-free and weed-infested curves in the 10th year were similar to those derived in year 5, indicating that the patterns established during the first few years after planting were relatively robust for the first decade. The critical-period was 2 and 3 years after planting for jack pine and red pine, respectively, and occupied most of the 5-year period for white pine and black spruce. Principal components analysis of the vegetation community indicated that repeated herbicide applications caused differential shifts in the relative abundance of shrub, fern, and moss species through the 10th year. Species richness, however, was not substantially different between the untreated control and the most intensive treatments. Difference modeling was used to quantify how annual volume increment during the first decade varied with time, conifer species, cover of woody and herbaceous vegetation, and stage of development.


1959 ◽  
Vol 91 (10) ◽  
pp. 670-671 ◽  
Author(s):  
G. A. Bradley

While working at Cedar Lake in Northwestern Ontario in the summers of 1957 and 1958 the author was able to observe the feeding sites of various species of Cinara. Most of the observations were made within an area of a few square miles on either side of Highway 105, between Red Lake Road and Ear Falls, Ontario. This area is fairly typical of the Laurentian Shield, with numerous lakes, rocky ridges, sandy patches, and small bogs. The principal coniferous trees in this locality are black spruce, jack pine, and balsam fir. White spruce, white cedar, white pine, red pine, and common juniper are also present.


1999 ◽  
Vol 29 (7) ◽  
pp. 890-897 ◽  
Author(s):  
Robert G Wagner ◽  
Gina H Mohammed ◽  
Thomas L Noland

Using critical-period analysis, we examined the temporal effects of interspecific competition from herbaceous vegetation on seedlings of jack pine (Pinus banksiana Lamb.), red pine (Pinus resinosa Ait.), eastern white pine (Pinus strobus L.), and black spruce (Picea mariana (Mill.) BSP) during the first 5 years after planting. The critical period is the time period during stand development when interspecific competition reduces tree growth. We found both similarities and differences in responses among tree species. Gains in stem volume index associated with increasing duration of vegetation control (expressed by weed-free curves) differed among species. In contrast, declines in stem volume index with increasing duration of competition after planting (expressed by weed-infested curves) were equal among species. Critical periods for stem volume index were shorter for shade-intolerant jack and red pine (1 and 2 years after planting) than for more shade-tolerant white pine and black spruce (1-3 years for spruce and 1-4 years for white pine). Intolerant species had greater absolute stem volume growth, but smaller relative declines from continuous association with herbaceous vegetation (85, 81, 78, and 67% for white pine, black spruce, red pine, and jack pine, respectively). Herbaceous vegetation did not affect survival and had a variable influence on height growth of all species.


1976 ◽  
Vol 6 (4) ◽  
pp. 478-486 ◽  
Author(s):  
H. A. Bolghari

Multiple regression equations have been developed to predict yield from young red pine and jack pine plantations. Data from 446 sample plots representing young red pine and jack pine stands located on the south shore of the St. Lawrence River between Quebec and Montreal were analysed. The red pine plantation yielded more than the jack pine. However, in plantation both species yield more than in natural stands. Taking into account the age and spacing of the sampled plantations, the equation obtained can provide information on yield of red pine and jack pine stands the maximum spacing of which is 3 × 3 m, up to the age of 45 and 35 years respectively. The equations will allow the construction of preliminary yield tables for both species.


1970 ◽  
Vol 46 (6) ◽  
pp. 477-478
Author(s):  
W. C. Stevens

Northern Ontario lies entirely in the Precambrian Shield with its many rock outcrops, sand plains, valleys and extensive lowlands.Tree planting started on a limited scale in Northern Ontario in the 1920's but it was not until the mid-fifties that the program really expanded into millions of trees.White spruce, black spruce, jack pine, red pine and white pine are the most important species planted for commercial forest products.The advent of new site preparation techniques has made possible the planting of areas that were previously by-passed.Due to the rugged conditions in Northern Ontario, tree planting by machine is still not too prevalent.For the purpose of this paper, Northern Ontario is that portion of the province lying north of the historic fur-trading route of the French and Mattawa Rivers and the Great Lakes. The area is made up entirely of Precambrian shield with many outcrops of rock, sand plains of jack pine, valleys and extensive lowlands of spruce.


1973 ◽  
Vol 3 (1) ◽  
pp. 90-94 ◽  
Author(s):  
J. P. Demaerschalk

The desirability and the advantages of deriving taper equations from existing volume equations are discussed. It is demonstrated that the most common types of volume equations can be converted to compatible taper equations. These mathematical stem profile expressions yield tree volumes for any desired stump height and top diameter outside bark from inputs of diameter breast height outside bark and total height.


1982 ◽  
Vol 12 (2) ◽  
pp. 215-221 ◽  
Author(s):  
Robert R. Forslund

A tree bole model describing a geometrical form in between a paraboloid and cone "paracone" has been developed. The model is based on empirical evidence that the average centre of gravity of aspen (Populustremuloides Michx.) boles without branches lies at 3/10 of the bole height from its base. Outside bark bole volume, V (cubic decimetres), can therefore be estimated nondestructively from the total height, H (metres), and the diameter outside bark, dK (centimetres), measured at a relative height, K, as follows:[Formula: see text]Based on a sample of 70 aspen stems, this equation estimates individual bole volume from total bole length or height and from a single diameter measurement, either at the 3/10 position or at the breast-height position, as accurately as Smalian's formula using seven diameter measurements. Based on the sample, the 3/10 position should be chosen over breast height wherever breast height lies below 20 or above 60% of the total height. It is important that care be taken in the measurement of the diameter due to the sensitivity of the volume equation to diameter variation. In addition to volume estimation, the paracone model provides a comparison profile around which stem form variation within and among species may be observed.


1956 ◽  
Vol 34 (4) ◽  
pp. 473-500 ◽  
Author(s):  
J. E. Potzger ◽  
Albert Courtemanche

The study includes 19 bogs between 45° 07′ N. and 51° 59′ N. (Fig. 1), spaced at about 50 mile intervals from the St. Lawrence valley across the Laurentian Shield to James Bay (Jack River). Plane service made possible selection of excellent bogs for boring in wilderness regions. The plane landed on lakes near the bogs selected. Up to lat. 47° N. five major climatic changes are recognized for Quebec and are referred to as Q-1 to Q-5. The pollen profiles suggest that an initial, pronounced warm period (Q-1) (correlative with the Lake Timiskaming retreat) followed by cooling (Q-2), very likely also accompanied by local glaciation (correlative with the Cochrane halt), prevailed from the St. Lawrence valley to Lac Soscumica bog (50° 39′ N.). The initial warm period is marked by prominent pine peaks accompanied by an impressive minor oak peak. During the major xerothermic period (Q-3), all bogs record a very long and prominent pine climax, with replacement of Pinus banksiana by the white–red pine group up to the Lacroix River bog (49° 02′ N). From Clova (48° 07′ N.) to Jack River bog (51° 59′ N.) jack pine replaced red white pine, while the upper half of the profile accumulated. This shows jack pine with a striking bimodal pattern of representation. Also, north of Clova, jack pine formed an important association with Picea mariana during the more recent past, introducing the forest type which prevails up there today. From the St. Lawrence valley (45° 07′ N.) to the lower edge of the Shield at Saint-Lin (45° 55′ N.) white–red pine held an important place in the forest cover up to the present (represented by the close of the bog mat). The single most striking feature of the study is that red–white pine penetrated as important forest associates to the Rupert River (51° 28′ N.). No doubt white–red pine extended their range northward during the prominent warm–dry period (Q-3) because their highest representation appears in the lower levels of bogs. The great change in vegetation type, with more emphasis on boreal species (Picea mariana and Pinus banksiana), from Clova (48° 07′ N.) northward to James Bay suggests the Cochrane oscillation influence and subsequent retreat during the ensuing major xerothermic period (Q-3). This period had probably waned by the time the forests were able to invade the James Bay region, thus giving rise to a rather monotonously changeless forest history from lat. 50° 54′ northward (Q-5). Local glaciation is indicated in the bog from Mont Tremblant (Bog 14), where forest history began during the xerothermic period. Fig. 2 presents the highest percentage attained by species at a given latitude, which at a glance divides the species according to latitudinal preference, suggesting temperature control.Since the region about James Bay was covered by the sea following northward wasting of the ice, forest history here begins later than in the areas located above elevation of submergence. Radiocarbon dating of the peat from the bottom level of a bog near Rupert River (51° 27′ N., 78° 32′ W.) places the beginning of organic sediment accumulation at 2350 ± 200 years. This marks the time when marine waters withdrew from the region. Hemlock must have been quite abundant northward to Lac Shaw bog (46° 19′ N.), but reached a pollen representation of 7% even at Lac Mazanaskwa bog (47° 07′ N.). The decline of the white–red pine group on the northern half of the Shield suggests that the muskeg condition north of Clova is due to more recent paludification and more moist climate following the warm–dry period (Q-3). This conclusion is also supported by the prominent rise of Picea mariana. Evidence of tundra conditions was found only in bogs 1, 3, 6, 9, 10, and 12.


1970 ◽  
Vol 46 (6) ◽  
pp. 470-472 ◽  
Author(s):  
George E. MacKinnon

An average of 17 million tubed seedlings were planted annually in the Province of Ontario from 1966 to 1969. Plans call for increasing the programme to an estimated 20 million tubed seedlings in 1971.Tubed seedlings provide a supply of seedling stock, which can be planted during the summer months, making the best use of available labour supply. Other advantages are ease of planting on shallow-soiled sites, ease of handling, low planting costs, and flexibility provided by production of seedlings on short notice to meet immediate needs. The principal species grown are black spruce, white spruce, jack pine, red pine and white pine. The ground is generally site prepared prior to planting by mechanical scarification or prescribed burning. Planting is carried out at average spacing of 1,000 trees per acre. Survival figures of recent planting, after one year, indicate survival comparable to that of standard bare-rooted nursery stock.


1989 ◽  
Vol 6 (4) ◽  
pp. 183-185
Author(s):  
David I. Maass ◽  
Andrea N. Colgan ◽  
N. Lynn Cochran ◽  
Carl L. Haag ◽  
James A. Hatch

Abstract Long-term performance of container-grown seedlings in Maine was unknown in the late 1970s. A study was established to test the performance of five conifer species: Norway, white and black spruce, and red and jack pine, grown in four containers of similar volume: Can-Am Multipot #1, Multipot #2, Japanese Paperpot FH408, and Styroblock 4. Seven years after outplanting, stem heights of jack pine and red pine were significantly greater for trees started in Multipot #2 containers. Three spruce species with the greatest growth were started in Multipot #1 containers. Paperpot seedlings ranked second in height for pines, Norway spruce, and white spruce; Styroblock 4's ranked last for all species. North. J. Appl. For. 6:183-185, December 1989.


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