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STT 2063 Forest Science and Management


5.0 Introduction to Vegetation Sampling




                                          1
5.1 Sampling
Sampling is the process of selecting units (e.g., people,
plants) from a population of interest so that by studying
the sample we may fairly generalize our results back to
the population from which they were chosen.

                    Statistical population
Population

                    Biological population




                                                            2
Statistical population

- The entire set of data of interest e.g. tree height, tree
diameter, no. of tree


 Biological population

 - Aggregation of individual organism of a single
 species.




                                                              3
Statistical sample
  Sample

                    Physical sample

Statistical sample
- A portion of a larger set of data i.e. (the stat. Pop.)
- It’s part or subset of the population that is actually
measured.

Physical sample
- A portion, or subset of a collection of one or more
materials objects.


                                                            4
Examples of statistical and physical sample

Example 1
Collect one–litre sample from pond  PS
     Collected a portion of the entire volume of pond
water.

Measurement of PH, Temp. or phosphate  SS
       Measurement made only from the collected portion
i.e. the one-litre sample.




                                                           5
Example 2


Sample a vegetation of a forest  PS
   Small portion of all vegetation from a forest.

Volume of standing trees, basal area  SS
    Result only from a small portion of the entire forest.


- The sample is the group of (people, plant etc.) who you
select to be in your study.




                                                              6
5.2 Purpose of sampling?

• To draw conclusions about populations from samples.
• Enables us to determine a population`s characteristics
by directly observing only a portion (or sample) of the
population.

5.3 The importance of sampling

• Impossible to observe/measure all
• Time
• Cost - cheaper to observe a part rather than the whole
• Efficiency in resources (labour, logistics, infrastructure)


                                                                7
5.4 Types of Sampling

(i) Non-statistical sampling
(ii) Statistical sampling

Non-statistical sampling
Refers to collection of data/information by subjective
way/method.
Characteristics:
• Rely on skill, experience and thoroughness of
researchers.
• No constant or consistent sampling design.
• Reliability can not be determine
• Very low cost.

                                                         8
Statistical sampling
Refers to data that are collected through scientific way.
It involves selection of samples.
Characteristics:
• Accepted scientifically.
• Selection of sample that represent the population.
• Reliability can be measured e.g. 95% or 99%
Advantages:
• Quick, because sample are used.
• Scope of study are wide
• High reliability.
• Data recorded are very systematic.
• Collection of data can be repeated at the same
reliability.
• Similar method can be employ at different site for
valid comparison.                                           9
5.5 Vegetation sampling

Vegetation populations are relatively easy to sample
because:
    Vegetation doesn't move, hence as much time as
   is necessary can be taken to make measurements
   or observations.
    Vegetation is usually easily visible.
    Vegetation doesn't change much over short
   periods of time.




                                                       10
Few characteristics about vegetation do cause some
concern when sampling, namely:

    There may be difficulties in defining exactly what
   constitutes a vegetation individual. For example, many
   plants consist of multiple stems emerging from a single
   root system interconnected by runners. Are these
   multiple individuals or one individual?
    Vegetation often grows in patches or groups. Is the
   patch or each plant in the patch the individual?
    Vegetation in one area can overlap, that is, exists in a
   number of scales (e.g. grass, shrubs, under canopy
   trees, canopy trees).
                                                                11
5.6 Vegetation Sampling Approaches

Most vegetation and forest sampling derives from one
of the following approaches.

• Use the individuals. If we are interested in
average tree height, we simply locate some trees in
the area of interest (usually chosen at random) and
measure the height of all selected trees.
• Use predefined areas. This is the basic idea behind
quadrate and strip quadrate sampling units. Often it
is easier to locate a randomly chosen study area than
to locate/select a random individual.

                                                        12
• Use predefined lines. Lines may be used to identify
which individuals are to be observed/measured (line
intersect selection) or can themselves constitute the
measurement (line intercept sampling). Line can also
be used in conjunction with areas to locate study
individuals (point quarter centre or strip counts).
Line sampling methods are sometimes also referred to
as plotless sampling.

• Use distances between individuals. For
determining certain characteristics relating to the
distributions of individuals in space, individual-to-
individual distances or point-to-individual distances
may be used.
                                                        13
5.7 Experimental Design
 Method how samples are:
  • Chosen to represent the population of study.
  • Determination of no. or % area to be sampled.
  • Determination of size, shape and method of data
  collection.
 It is the research plan either in the field or laboratory
experiments.
 Done prior to data collection.
 It is a procedure for specific sampling and data
analyses that are determine using statistical basis.



                                                              14
5.8 Classification of sampling design
               Design


       Selective      Objective


         Systematic                Random                                Cluster


Unstratified   Stratified     Simple                        Multistage



                   Simple              Stratified   Two                  > Two
                   Random              Random       stage                stage
                   Sampling            Sampling

                                                                                   15
5.8.1 Selective/Authoritative sampling

 Sample are selected in subjective manner.
 Depend very much on the skill, experience and
objective of individual researcher.
 Employed certain strategy during measurement in
the field.
Method:
•Samples are selected based on certain characteristics.
•Sampling area must contain the individuals or species
that are to be study.
•Data collection are easy; avoid areas that are difficult
such as steep slope, depression etc.


                                                            16
5.8.2 Objective sampling

 Involve random selection and probability sampling does.
 We know the odds or probability that we have
represented the population well. We are able to estimate
confidence intervals for the statistic.
 In Selective samples, we may or may not represent the
population well, and it will often be hard for us to know how
well we've done so.
 In general, researchers prefer random sampling methods
over selective ones, and consider them to be more accurate
and rigorous.


                                                           17
5.8.3 Random sampling


• Selection of sample are random i.e. every parts of the
population have the same chance to be selected as
sample.

• Avoid bias in choosing samples
    - Samples randomly selected usually by random
numbers.




                                                           18
19
Method

- Area of study are divided into quadrates that have similar
  size.
- Every quadrate are assigned with a number.
- Selection of samples must be based on random
  numbers
- Selection of samples are done either with replacement
    or without replacement.
- Mostly without replacement
- No. of samples are usually determined prior to random
  selection.



                                                         20
Simple random sampling &
Stratified random sampling




          SIMPLE RANDOM SAMPLE     STRATIFIED RANDOM SAMPLE

        - all plot have the same   - Population are divided into
        probability to be chosen   homogeneous group & samples are
        or selected                homo group.

                                   - This will help to ensure that all
                                     types are represented in the
                                     overall sample.
                                                                         21
Multistage Random Sampling


• Sampling are done in stages. Usually involve
subsample in the main sample.


                            Main Sample


                            Sub sample


 Double stage random sampling      Random sampling > two stages




                                                                  22
5.8.4 Systematic sampling

- Sampling with a system.
- From the sampling frame, a starting point is chosen at
random, and thereafter at regular intervals.

- Assumption: a population of interest in distributed
randomly over space.
- Samples are selected systematically where distribution.
- Samples are arranged I such a way that every part of
the population have the same number of samples.
- Easy to locate.
- Distribution of samples are uniform.

                                                            23
For Forest Inventory systematic sampling is usually
chosen because:
    (i) easily planned, (ii) faster in execution and mostly
    cheaper; (iii) it gives better estimates of the mean; (iv)
    it gives thus better precision compared to random
    sampling

General characteristics:
• Formation Transect line.
• Study area is divided into quadrate or plot.
• Distance between samples are the same.
• Distribution of samples in a pattern.


                                                                 24
Unstratified Systematic Sampling




                                   25
26
Diagrammatic plan for a 20 percent systematic strip cruise.
Sample strips 1 chain wide are spaced at regular intervals of
5 chains.



                                                                27
5.8.5 Cluster Sampling

In cluster sampling the units sampled are chosen in
clusters, close to each other.
Examples are rattan in the same strip, or successive
sample units along a transect line.

The population is divided into clusters, and some of
these are then chosen at random.
Within each cluster units are then chosen by simple
random sampling or some other method.

Ideally the clusters chosen should be dissimilar so that
the sample is as representative of the population as
possible.
                                                           28
29
Advantages and disadvantages of sampling method
              Random        Systematic       Cluster            Stratified
 Advantages   ideal for     spreads the      saving of          saving of
              statistical   sample more      travelling time,   travelling
              purposes      evenly over      and                time, and
                            the population   consequent         consequen
                            easier to        reduction in       t reduction
                            conduct than a   cost               in cost
                            simple random
                            sample
                            spreads the
                            sample more
                            evenly over
                            the population
                            easier to
                            conduct than a
                            simple random
                            sample


                                                                              30
Advantages and disadvantages of sampling method

                Random             Systematic         Cluster          Stratified
Disadvantages   hard to            the system         units close to   units close
                achieve in         may interact       each other       to each
                practice           with some          may be very      other may
                requires an        hidden pattern     similar and so   be very
                accurate list of   in the             less likely to   similar and
                the whole          population,        represent the    so less
                population         e.g. every third   whole            likely to
                expensive to       house along        population       represent
                conduct as         the street         larger           the whole
                those sampled      might always       sampling error   population
                may be             be the middle      than simple      larger
                scattered over     one of a           random           sampling
                a wide area        terrace of         sampling         error than
                                   three                               simple
                                                                       random
                                                                       sampling


                                                                                     31
END OF LECTURE




                 32

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Lecture 5.0 vegetation_sampling

  • 1. STT 2063 Forest Science and Management 5.0 Introduction to Vegetation Sampling 1
  • 2. 5.1 Sampling Sampling is the process of selecting units (e.g., people, plants) from a population of interest so that by studying the sample we may fairly generalize our results back to the population from which they were chosen. Statistical population Population Biological population 2
  • 3. Statistical population - The entire set of data of interest e.g. tree height, tree diameter, no. of tree Biological population - Aggregation of individual organism of a single species. 3
  • 4. Statistical sample Sample Physical sample Statistical sample - A portion of a larger set of data i.e. (the stat. Pop.) - It’s part or subset of the population that is actually measured. Physical sample - A portion, or subset of a collection of one or more materials objects. 4
  • 5. Examples of statistical and physical sample Example 1 Collect one–litre sample from pond  PS  Collected a portion of the entire volume of pond water. Measurement of PH, Temp. or phosphate  SS  Measurement made only from the collected portion i.e. the one-litre sample. 5
  • 6. Example 2 Sample a vegetation of a forest  PS  Small portion of all vegetation from a forest. Volume of standing trees, basal area  SS  Result only from a small portion of the entire forest. - The sample is the group of (people, plant etc.) who you select to be in your study. 6
  • 7. 5.2 Purpose of sampling? • To draw conclusions about populations from samples. • Enables us to determine a population`s characteristics by directly observing only a portion (or sample) of the population. 5.3 The importance of sampling • Impossible to observe/measure all • Time • Cost - cheaper to observe a part rather than the whole • Efficiency in resources (labour, logistics, infrastructure) 7
  • 8. 5.4 Types of Sampling (i) Non-statistical sampling (ii) Statistical sampling Non-statistical sampling Refers to collection of data/information by subjective way/method. Characteristics: • Rely on skill, experience and thoroughness of researchers. • No constant or consistent sampling design. • Reliability can not be determine • Very low cost. 8
  • 9. Statistical sampling Refers to data that are collected through scientific way. It involves selection of samples. Characteristics: • Accepted scientifically. • Selection of sample that represent the population. • Reliability can be measured e.g. 95% or 99% Advantages: • Quick, because sample are used. • Scope of study are wide • High reliability. • Data recorded are very systematic. • Collection of data can be repeated at the same reliability. • Similar method can be employ at different site for valid comparison. 9
  • 10. 5.5 Vegetation sampling Vegetation populations are relatively easy to sample because:  Vegetation doesn't move, hence as much time as is necessary can be taken to make measurements or observations.  Vegetation is usually easily visible.  Vegetation doesn't change much over short periods of time. 10
  • 11. Few characteristics about vegetation do cause some concern when sampling, namely:  There may be difficulties in defining exactly what constitutes a vegetation individual. For example, many plants consist of multiple stems emerging from a single root system interconnected by runners. Are these multiple individuals or one individual?  Vegetation often grows in patches or groups. Is the patch or each plant in the patch the individual?  Vegetation in one area can overlap, that is, exists in a number of scales (e.g. grass, shrubs, under canopy trees, canopy trees). 11
  • 12. 5.6 Vegetation Sampling Approaches Most vegetation and forest sampling derives from one of the following approaches. • Use the individuals. If we are interested in average tree height, we simply locate some trees in the area of interest (usually chosen at random) and measure the height of all selected trees. • Use predefined areas. This is the basic idea behind quadrate and strip quadrate sampling units. Often it is easier to locate a randomly chosen study area than to locate/select a random individual. 12
  • 13. • Use predefined lines. Lines may be used to identify which individuals are to be observed/measured (line intersect selection) or can themselves constitute the measurement (line intercept sampling). Line can also be used in conjunction with areas to locate study individuals (point quarter centre or strip counts). Line sampling methods are sometimes also referred to as plotless sampling. • Use distances between individuals. For determining certain characteristics relating to the distributions of individuals in space, individual-to- individual distances or point-to-individual distances may be used. 13
  • 14. 5.7 Experimental Design  Method how samples are: • Chosen to represent the population of study. • Determination of no. or % area to be sampled. • Determination of size, shape and method of data collection.  It is the research plan either in the field or laboratory experiments.  Done prior to data collection.  It is a procedure for specific sampling and data analyses that are determine using statistical basis. 14
  • 15. 5.8 Classification of sampling design Design Selective Objective Systematic Random Cluster Unstratified Stratified Simple Multistage Simple Stratified Two > Two Random Random stage stage Sampling Sampling 15
  • 16. 5.8.1 Selective/Authoritative sampling  Sample are selected in subjective manner.  Depend very much on the skill, experience and objective of individual researcher.  Employed certain strategy during measurement in the field. Method: •Samples are selected based on certain characteristics. •Sampling area must contain the individuals or species that are to be study. •Data collection are easy; avoid areas that are difficult such as steep slope, depression etc. 16
  • 17. 5.8.2 Objective sampling  Involve random selection and probability sampling does.  We know the odds or probability that we have represented the population well. We are able to estimate confidence intervals for the statistic.  In Selective samples, we may or may not represent the population well, and it will often be hard for us to know how well we've done so.  In general, researchers prefer random sampling methods over selective ones, and consider them to be more accurate and rigorous. 17
  • 18. 5.8.3 Random sampling • Selection of sample are random i.e. every parts of the population have the same chance to be selected as sample. • Avoid bias in choosing samples - Samples randomly selected usually by random numbers. 18
  • 19. 19
  • 20. Method - Area of study are divided into quadrates that have similar size. - Every quadrate are assigned with a number. - Selection of samples must be based on random numbers - Selection of samples are done either with replacement or without replacement. - Mostly without replacement - No. of samples are usually determined prior to random selection. 20
  • 21. Simple random sampling & Stratified random sampling SIMPLE RANDOM SAMPLE STRATIFIED RANDOM SAMPLE - all plot have the same - Population are divided into probability to be chosen homogeneous group & samples are or selected homo group. - This will help to ensure that all types are represented in the overall sample. 21
  • 22. Multistage Random Sampling • Sampling are done in stages. Usually involve subsample in the main sample. Main Sample Sub sample Double stage random sampling Random sampling > two stages 22
  • 23. 5.8.4 Systematic sampling - Sampling with a system. - From the sampling frame, a starting point is chosen at random, and thereafter at regular intervals. - Assumption: a population of interest in distributed randomly over space. - Samples are selected systematically where distribution. - Samples are arranged I such a way that every part of the population have the same number of samples. - Easy to locate. - Distribution of samples are uniform. 23
  • 24. For Forest Inventory systematic sampling is usually chosen because: (i) easily planned, (ii) faster in execution and mostly cheaper; (iii) it gives better estimates of the mean; (iv) it gives thus better precision compared to random sampling General characteristics: • Formation Transect line. • Study area is divided into quadrate or plot. • Distance between samples are the same. • Distribution of samples in a pattern. 24
  • 26. 26
  • 27. Diagrammatic plan for a 20 percent systematic strip cruise. Sample strips 1 chain wide are spaced at regular intervals of 5 chains. 27
  • 28. 5.8.5 Cluster Sampling In cluster sampling the units sampled are chosen in clusters, close to each other. Examples are rattan in the same strip, or successive sample units along a transect line. The population is divided into clusters, and some of these are then chosen at random. Within each cluster units are then chosen by simple random sampling or some other method. Ideally the clusters chosen should be dissimilar so that the sample is as representative of the population as possible. 28
  • 29. 29
  • 30. Advantages and disadvantages of sampling method Random Systematic Cluster Stratified Advantages ideal for spreads the saving of saving of statistical sample more travelling time, travelling purposes evenly over and time, and the population consequent consequen easier to reduction in t reduction conduct than a cost in cost simple random sample spreads the sample more evenly over the population easier to conduct than a simple random sample 30
  • 31. Advantages and disadvantages of sampling method Random Systematic Cluster Stratified Disadvantages hard to the system units close to units close achieve in may interact each other to each practice with some may be very other may requires an hidden pattern similar and so be very accurate list of in the less likely to similar and the whole population, represent the so less population e.g. every third whole likely to expensive to house along population represent conduct as the street larger the whole those sampled might always sampling error population may be be the middle than simple larger scattered over one of a random sampling a wide area terrace of sampling error than three simple random sampling 31