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ICAR AICE-JRF/SRF Forest Mensuration: practice questions

ICAR AICE-JRF/SRF (PhD) — Subject 59 Forestry · India · National Testing Agency for ICAR

Original practice questions written to the published syllabus · not past papers
9worked here, free
26written to this exam in this subject
13syllabus units

What this subject covers

Measuring single trees, logs and stands: diameter, height, form, volume, biomass and growth, with the instruments and formulas used in the field.

In the exams: IFoS Forestry Paper II Section A (forest mensuration); ICAR AICE-JRF 59 Unit 4; ICAR AIEEA-PG Group 09 (forest mensuration); PRC Forest Resource Management; SAF Certified Forester; state forester and RFO exams

What ICAR AICE-JRF/SRF asks from it

ICAR AICE-JRF/SRF (PhD) — Forestry, Unit 4

MCQs on measurement methods and their principles, the volume formulas and which solids they fit, volume-table types, biomass measurement, CAI/MAI relationships and inventory concepts.

Where the 26 questions fall

How our questions for ICAR AICE-JRF/SRF spread across the units of Forest Mensuration. Difficulty: 0 easy, 7 medium, 19 hard.

Tree biomass and allometric equations4
Angle-count (Bitterlich) sampling and relascopes3
Diameter and girth measurement: breast height conventions, calipers, tapes2
Basal area and its uses2
Log volume formulas: Huber, Smalian, Newton2
Volume of standing trees: form factor and form quotient2
Volume tables: local, general and form-class; construction and use2
Age determination and stem analysis2
Growth and increment: CAI, MAI and their relationship2
Site index and site quality curves2
Height measurement: principles and hypsometers1
Bark thickness and crown measurements1
Stand measurement: stems per hectare, basal area, top height, stand volume1

9 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Diameter and girth measurement: breast height conventions, calipers, tapes · hard

A stem cross-section at breast height is clearly elliptical. Compared with the diameter of a circle of equal area, the diameter obtained from a girth tape (girth ÷ π) is:

  1. Slightly smaller, because the tape takes the short axis of the ellipse
  2. Exactly equal, because girth always reflects area for any closed shape
  3. Slightly larger, since an ellipse has a longer perimeter than an equal-area circle
  4. Exactly equal, because girth reflects cross-sectional area for any closed stem shape
Answer and working

C. Slightly larger, since an ellipse has a longer perimeter than an equal-area circle

For a given area the circle has the shortest perimeter, so any non-circular stem has a larger girth than the equal-area circle, and girth ÷ π overestimates the equal-area diameter. The bias is small for mild ellipticity. The claim that girth always reflects area is wrong: perimeter and area are linked exactly only for a circle.

2 · Bark thickness and crown measurements · medium

Why is bark percentage of volume taken from local measurements rather than a single standard value?

  1. Bark thickness is fixed for each species, but standards change with timber prices
  2. Bark is always close to one-tenth of volume, but tables round it differently
  3. Bark thickness varies with species, age, tree size, height on the stem and site
  4. Bark is excluded from all volume tables, so no value is ever needed
Answer and working

C. Bark thickness varies with species, age, tree size, height on the stem and site

Bark thickness differs greatly between thick-barked species (many pines, fire-adapted savanna trees) and thin-barked species, and within a tree with age and height. No universal percentage exists; under-bark volume needs local bark data.

3 · Log volume formulas: Huber, Smalian, Newton · hard

Which log is most overestimated by Smalian's formula?

  1. A flared butt log resembling a neiloid frustum
  2. A mid-stem log resembling a paraboloid frustum
  3. A perfectly cylindrical log of uniform diameter
  4. A short log cut from the middle of a cylindrical bole
Answer and working

A. A flared butt log resembling a neiloid frustum

Smalian's formula is exact for cylinders and paraboloids and overestimates cone and, most of all, neiloid frustums, because the large end area dominates the average. Butt logs are therefore measured in shorter sections or by Huber or Newton.

4 · Volume of standing trees: form factor and form quotient · hard

The absolute form factor differs from the breast-height (artificial) form factor in that it:

  1. Uses the diameter at one-tenth of total height as the reference section
  2. Uses under-bark volume and the over-bark basal area of the stump
  3. Uses only the volume and height above breast height, with breast-height basal area
  4. Uses the merchantable height instead of total height and includes the stump
Answer and working

C. Uses only the volume and height above breast height, with breast-height basal area

The absolute form factor takes the part of the tree above breast height, compared with a cylinder of breast-height basal area and height equal to the height above breast height. The diameter at a fixed proportion of total height defines the normal (true) form factor.

5 · Volume of standing trees: form factor and form quotient · hard

Why must a form factor be used with the same definitions under which it was derived?

  1. Its value depends on the reference diameter, the height and the volume definition used
  2. Its value is fixed for each species, but the units used for volume differ between countries
  3. Form factors apply only to conifers, so broadleaf definitions differ
  4. Its value is fixed by the solid of revolution the species resembles
Answer and working

A. Its value depends on the reference diameter, the height and the volume definition used

A form factor is a ratio whose numerator (total, merchantable, over or under bark volume) and denominator (reference diameter and height) must match the use. Real trees are not one geometric solid, and form factors vary with species, age, density and crown length.

6 · Tree biomass and allometric equations · medium

Allometric biomass equations are usually built by:

  1. Measuring dbh only and applying the carbon fraction to stem volume
  2. Weighing standing trees with load cells attached to the main roots
  3. Felling trees, weighing parts fresh and oven-drying subsamples for dry mass
  4. Counting rings on increment cores and multiplying by wood density
Answer and working

C. Felling trees, weighing parts fresh and oven-drying subsamples for dry mass

Destructive sampling is the reference method: trees are felled, separated into stem, branches and foliage (and roots for a subset), weighed fresh, and subsampled for dry-to-fresh ratios. The equation then predicts biomass from dbh and other easy measurements.

7 · Tree biomass and allometric equations · hard

In a forest carbon estimate built from inventory data, which choice is often the single largest source of error?

  1. The choice of allometric equation that turns measurements into biomass
  2. The rounding of dbh to the nearest centimetre by the field crews
  3. The use of the ratio 44/12 to convert carbon to carbon dioxide
  4. The number of decimal places kept in the basal area factor
Answer and working

A. The choice of allometric equation that turns measurements into biomass

Comparisons of equations on the same data show that switching between plausible allometric models can change biomass estimates by large percentages, typically more than measurement rounding. The 44/12 ratio is an exact molecular-mass ratio.

8 · Angle-count (Bitterlich) sampling and relascopes · hard

On steep ground, an uncorrected angle count made with a simple fixed-angle gauge will:

  1. Overestimate basal area, because more trees appear wider on slopes
  2. Give the correct basal area, because the angle does not depend on slope
  3. Give the correct basal area only for trees uphill of the point
  4. Underestimate basal area, since the effective horizontal angle is too small
Answer and working

D. Underestimate basal area, since the effective horizontal angle is too small

On slopes the line of sight is inclined, so the horizontal distance to a tree is less than the sighting distance; a fixed gauge then excludes some trees that should be in. Slope-correcting relascopes or a corrected BAF remove the bias.

9 · Age determination and stem analysis · medium

In stem analysis of a 30-year-old tree, the disc cut at 3.3 m has 24 rings. At approximately what age did the tree reach 3.3 m?

  1. 24 years
  2. 4 years
  3. 6 years
  4. 26 years
Answer and working

C. 6 years

The rings on a disc record the years since the stem reached that height, so age at that height = tree age − rings = 30 − 24 = 6 years (before any within-section correction). 24 is the number of years since, not the age at which.

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Read the subject

Forest MensurationThe full study manual, free ICAR AICE-JRF/SRFFormat, sections and how it has changed

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Forest Mensuration for other exams

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