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    Mendel university of Brno

    Faculty of forestry and wood technology

    Analysis of airborne LiDAR data for estimation of tree height, DBH and

    tree volume

    Bachelor thesis

    2013 Roberto Tjesse Beth

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    Mendel university of Brno

    Faculty of forestry and wood technology

    Department of Geoinformation technologies

    Analysis of airborne LiDAR data for estimation of tree height, DBH and

    tree volume

    Bachelor thesis

    Supervisor: Tom Mikita RobertoTjesse Beth

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    Statutory declaration

    I hereby assert that I compiled the bachelor work on the topic of LiDAR data for forestmensuration variable determination by myself and have stated all sources used. I agree

    to my thesis being published in accordance with 47(b) of the Act No. 111/1998 Coll. on

    Higher Education Institutions including amendments to some other acts, and deposited

    in the Mendel University library in Brno, accessible for study purposes in compliance

    with Mendel University Chancellors decree on archiving final works in electronic form.

    The qualification thesis author agrees to obtain a written statement from the University

    that any license agreement with a third party on the use of copyright does not

    contravene the rightful interests of the University prior to executing any such

    agreement, and agrees to disburse any compensation for costs incurred in association

    with the thesis compilation in compliance with the due calculation.

    In Brno on the 27th of June of 2013 students signature:

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    Acknowledgments

    I would like to thank all the people who helped me with this project, specially to my

    supervisorTom Mikita and to my girlfriend.

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    Abstract:

    In this bachelor work we present a study on the efficiency of multi-return LiDAR (Light

    Detection and Ranging) data in the estimation of mensuration parameters in the forest of

    Ktiny. The goals of this study are (1) introduce the state-of-the-art in LiDAR data uses

    for forest mensuration studies, (2) define a clear how-to methodology for ALS data

    assessment for mensuration purposes and (3) compare the obtained results of the

    processed data with estimated information of yield tables, comparing statistical results.

    Abstrakt:

    Tto bakalrska prca sa zaober tdiom o innosti multi-eko LIDAR (Detekcie

    svetla a rozsahu) dt v odhade meran parametrov v lese Ktiny. Ciemi tejto tdie s:

    (1) predloi najvyiu rove rozvoja LIDAR dt uplatujc k tdiu merania lesa, (2)

    jasne vymedzi "ako na" metodiku pre posudzovanie dt ALS (Leteckch laserovch

    dajov) pre meracie ely a (3) porovna dosiahnut vsledky spracovanch dt s

    odhadovanmi informciami rastovch tabuliek, porovnvajc tatistick vsledky.

    Keywords: airborne laser scanning, tree height evaluation, digital elevation model,

    digital surface model, Lidar Analysis, Lidar history

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    Table of Contents

    Introduction .......................................................................................................................... 21. Literature review ......................................................................................................... 3

    1.1 Remote sensing, introduction ............................................................................. 31.2 The electromagnetic spectrum ........................................................................... 4

    1.3

    Electromagnetic energy interactions with atmosphere and earths surface. ........ 5

    1.4 LiDAR Technology .......................................................................................... 102. Analysis of Airborne LiDAR data for mensuration parameters. .............................. 13

    2.1 Area of study .................................................................................................... 132.1.1 The forest..................................................................................................... 132.1.2 Field data .................................................................................................... 132.2 Methodology .................................................................................................... 15

    3 Results and conclusion .............................................................................................. 174. Citations .................................................................................................................... 205. Appendices ........................................................................................................... 22

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    Introduction

    Remote sensing has become a useful way of retrieving biophysical

    variables. The uses in forestry are wide, resources management, fire prevention

    assessment, forest mensuration, territorial planning or biocenological studies are

    just some of the fields were this science can be implemented. In this work we will

    focus on forest mensuration.

    Individual tree identification and height determination from ALS (Airborne laser

    scanning) data is particularly useful in growth and yield estimations, being now a

    days an indispensable tool for any forest enterprise.

    The accuracy of this measurements is high and the accuracy of the results will

    depend on the knowledge in GIS . In this study we analyze the process of

    variable extraction out from digital elevation models (DEM) and digital surface

    models (DSM) of a forested area near Brno, Czech Republic. Simple spatial

    operations such as focal statistic filtrations are used to focus and discriminate low

    value points, defining a canopy height model. Results and conclusions are

    presented at the end.

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    1. Literature review

    1.1 Remote sensing, introduction

    Defined as the process or technique of obtaining information about an object, area, or

    phenomenon through the analysis of data acquired by a device without being in

    contact with the object, area or phenomena being studied (Chandra 2002). It consists

    of the interpretation of measurements of electromagnetic energy reflected from or

    emitted by a target from a vantage-point that is distant from the target (Mather,1999).

    To properly understand remote sensing it is necessary some knowledge in

    Electromagnetic energy, its characteristics and interactions. There are two ways of

    modeling EM energy, by waves or by energy bearing particles. In the wave model,

    EM energy is represented through sinusoidal waves which are propagating in space.

    These waves are characterized by an electrical field (E) and a magnetic field (M)

    both perpendicular to each other. The vibration of both fields is perpendicular to the

    direction of the wave and propagate at the speed of light (c) which is 299.799.000

    ms-1, and can be rounded off to 3x108 ms-1.

    The wavelength of an electromagnetic wave is defined as the distance between

    successive wave crests. Wavelength is measured in meters (m) or some fraction of

    meters, such as nanometers (m, 10-9m) or micrometers (m, 10-6 m).

    The frequency (v) is the number of cycles of a wave passing a fixed point over a

    specific period of time. Normally measured in hertz (Hz), which is the equivalent of

    one cycle per second since the speed of light is constant, wavelength and frequency

    are inversely related.

    v=c

    Eq 1.1

    Even most characteristics of electromagnetic energy can be described using this

    wave model, it is important to point out the uses of the particle model. This approach

    is considered when quantifying the amount of energy received by a multispectral

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    sensor. The amount of energy held by a photon of a specific wavelength is given by

    Q= hv

    Eq.1.2

    Where Q is the energy of a photon A, and h is Planck's constant (6.6262x10-34JS).

    From here we can deduce that the longer the wavelength, the lower the energy

    content.

    Fig. 1.1 Representation of Electromagnetic energy

    1.2 The electromagnetic spectrum

    Electromagnetic emission is radiated by any matter with absolute temperature above

    zero (0K) due to molecular agitation. This electromagnetic energy is usually in

    waves of various wavelengths. The total range of wavelengths extended from gamma

    rays to radio waves is commonly referred to as electromagnetic spectrum.

    The amount of energy radiated depends on its temperature and emissivity. Mostmatter absorbs and reemits a a part of EM energy, usually between 80-98% of the

    received energy is re-emitted and the remaining part is absorbed. We call optical part

    of the electromagnetic spectrum to that part where optical laws, such as reflectance

    and refraction, can be applied. This optical range extends from X-rays until far

    infrared.

    The visible part of the electromagnetic spectrum is commonly called light and

    occupies a little part of the EM spectrum.

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    Fig 1.2 The visible part of the spectrum is limited to 400 nm .

    1.3 Electromagnetic energy interactions with atmosphere and earths

    surface.

    1.3.1 Atmospher ic in teractions

    When electromagnetic energy is traveling through the atmosphere there are three

    fundamental interactions; absorption, transmission and scattering. We will use the

    incidence of the sun radiation to describe the electromagnetic energy interferences

    through atmosphere and the interaction occurring with earth surface.

    The most important absorbers of solar radiation in the atmosphere are ozone (O3),

    Water vapour (H2O) and carbon dioxide (CO2).

    Figure 1.3 shows the atmospheric transmission between the 0 to 70 m wavelength

    region. It is appreciable that a small part of the spectrum is transmitted through theatmosphere. This is called the atmospheric window. Only the wavelength regions out

    from the of the main absorption bands of atmospheric gases can be used for remote

    sensing. The presence of atmospheric moisture impends the transmission of only

    short wavelengths. There is a big absorption in longer wavelengths, from 33m to

    1mm.

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    Fig.1.3 The atmospheric window are wavelengths at which electromagnetic radiation willpenetrate the Earth's atmosphere, the chemicals notated are responsible of the respectiveretention.

    Once explained absorption and transmission, we have to consider scattering.

    Atmospheric scattering is defined as the influence that particles and gaseous

    molecules have in the path of electromagnetic energy, deviating the initial direction.

    There are 3 different kinds of scattering, Rayleigh scattering, Mie scattering and

    Non-selective scattering. Factors affecting scattering are wavelength, amount of

    particles and distance travelled through the atmosphere.

    Rayleigh scattering: This scattering predominates when the electromagnetic

    energy interacts with particles that are smaller than its own wavelength. This could

    be particles of nitrogen and oxigen, for example. Shorter wavelengths are more

    affected by this scattering than longer wavelengths. A good example of this kind of

    this effect is the perception human eyes has of the sky. In the absence of particles, the

    sky would appear black. In daytime, sun rays travel the shortest distance through the

    atmosphere to the surface, causing humans eye to perceive it blue because it is the

    shortest wavelength our eye can observe. But at sunrise or sunset the distance of the

    sun rays through the atmosphere is longer, causing all the shorter wavelengths to be

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    scattered, and only the longer wavelengths reach the surface, and as a result, the sky

    appears orange or red.

    In the context of satellite remote sensing the Rayleigh scattering is very important. It

    causes a distortion of spectral characteristics of the reflected light when compared to

    measurements taken on the ground. In general, this scattering affects the contrast of

    photos, limiting the possibilities for image classification.

    Mie scattering: This kind of scattering occurs when the wavelength of the

    incoming radiation is similar in size to that of the atmosphere particles. Generally

    restricted to the lower atmosphere, where large particles, such as aerosols, dust and

    water vapour predominate. It influences the entire spectral region from near to

    ultraviolet (400-200nm) including the near infrared (1um-1000 nm).

    Non-selective scattering: Independent of the size of the wavelength, this

    scattering happens when the size of the particles is much larger than the radiation

    wavelength. The most representative effect of non-selective scattering includes the

    effect of clouds (consisting of water drops). Since all wavelengths are scattered

    equally a cloud appears white.

    1.3.2 Ear ths sur face interactions

    The incidence of Electromagnetic energy on any given feature of earth surface has

    three possible interactions. Reflection, absorption and transmission. The

    interrelationship between the three energy interactions can be expressed as follows.

    Ei ( )= Er()+ Ea ()+ Et()

    Eq. 2.1

    Where Ei= The incident energy

    Er= The reflected energy

    Ea= The absorbed energy

    Et= The transmitted energy

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    The proportions between these energies vary depending on the material type and

    condition of the feature. Further more, they can also vary depending on the

    wavelength. These spectral variations within the visible portion of the spectrum

    result in the visual effect called colour. For instance, an object will be green if it

    reflects more of the green portion of the visible spectrum, and red if it reflects more

    of the red portion of the visible spectrum. Remote sensing systems operate in the

    wavelength regions were reflectance is dominant. Depending on the feature sensed,

    different wavelengths will be used. Reflectance properties play an important role, the

    modified form of Eq. 2.1 written as Eq. 2.2 shows that the reflected energy is equal

    as the incident energy reduced by the sum of the absorbed energy and the transmitted

    energy.

    Er()= Ei() [Ea ()+ Et()]

    Eq. 2.2

    The geometric character of the object sensed determines the kind of reflection. There

    are four kinds of reflections possible, categorized depending on the roughness of the

    surface, listed as follows: specular, near-specular, near-diffuse and diffuse reflections

    or also calledLambertian reflection. As a matter of fact, surfaces usually give a mix

    of reflectances. Specular reflectance, which is peculiar of mirrors, do not give any

    information of colour, and remote sensing focuses on the diffuse reflection of

    objects.

    The spectral reflectance is quantified by measuring the reflected energy expressed as

    a percentage with the incident energy. (fig 2.3)

    = energy of wavelength()reflected from the objectEnergy of wavelength ()incident upon the objectx100

    Eq. 2.3

    1.3.3 Vegetation interaction

    The spectral reflectance of vegetation is distinctive and quite variable depending on

    the wavelength. Fig 2.4 shows low reflectance in the blue and red region of the

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    visible spectrum. This low reflectance corresponds to two chlorophyll absorption

    bands. These absorption bands are centered around 0.45 m, hence a peak occurs

    due to absence of chlorophyll absorption band.

    There are also other pigments present in plants. Carotheses and xantophylls (yellow

    pigment) are frequent, and have absorption bands in blue region. Some trees produce

    anthocyanins (red) in large quantities, making them appear red.

    Green vegetation is characterized by high reflectance, hight transmittance and low

    absorption beyond 0.7 m as the spectrum passes from visible to infrared.

    Reflectance and transmittance are around 45-50% for each and absorption in the

    order of 5%.

    Fig.1.4 Shows differences among reflectance between coniferous versus deciduous.

    It has also been noticed that a multilayered vegetation area has higher reflectance, the

    difference between multi-layered and single layered reflectance being around 85%.

    This is consequence of the additive reflectance energy transmitted to the second layer

    through the first layer, having significant impact on the data taken. In the middle

    infrared portion spectral reflectance shows the effect of water, which has an

    absorption band centered at around 1.4 m,1.9 m and 2.7 m, with some small

    weak bands at 0.90 m and 1.1 m. The reflect peaks in the middle infrared occu at

    1.6 m and 2,2 m. It has also been noticed that leaf-moisture has a high effect on

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    reflection, decreasing the moisture content the reflectance increases.

    1.4 LiDAR Technology

    1.4.1 I ntroduction

    LiDAR or also called LaDAR (light detection and ranging) is an active remote

    sensing technique that has proven to be a key tool in modeling and mapping the

    environment. Referred to the action of sensing from a certain distance in an active

    way (Baltsavias 1999), the importance this application has now a days in many

    ecosystem studies is unmeasurable. The possibility, for instance, to determine spatial

    patterns found in vegetation on terrestrial images, opens a wide perspective to

    ecological studies.

    This literature review aims to define and describe basic terms used in this paper, and

    add a brief historical overview if possible.

    1.4.2 L iDAR state-of-the-art

    The ability of LiDAR sensors to derive accurate digital terrain models (DTM),

    and even model vegetation structures on forested areas has called attention of

    foresters. Following the developing pace of technology, the first attempts to

    measure distance by light beams were pioneered by Hulburt in the 1930s using

    searchlights to measure stratospheric aerosols and molecular density. In 1937 light

    pulses were used to determine the height of clouds and after the invention of the laser

    in 1958 by Schawlow and Townes(fundamental work) in 1958 and Maiman

    (construction) in 1960. followed by the first laser studies of the atmosphere

    undertaken by Fiocco and Smullin in 1963 , not to forget mentioning the studies of

    the upper region of the troposphere made by Ligda ,also in 1963.

    Atmospheric LiDAR -

    First uses of LiDAR technology were the detection and evaluation of densities in

    different stratum of the atmosphere. Advances in wavelength selection made possible

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    an exceptional variety of applications, ranging from probing of the trace-constituent

    distribution as well as temperature in the upper atmosphere with Resonance

    fluorescence LiDAR, to lower atmosphere constituents using differential absorption

    LiDAR, boundary layers,wind and temperature with the Coherent Doppler LiDAR

    and direction detection LiDAR, to airborne chlorophyl mapping of the oceans,

    making use of fluorescence LiDAR

    Target LiDARrange determination

    In target LiDARs, we will find LiDARs for ranging, also called laser range finder

    or laser altimeter and LiDARs for specie identification laser induced fluorescence

    LiDAR.

    LiDAR sensors determine the distance to their target by calculating the elapsed

    time between the emission of a laser pulse, and the retrieval by their reflection. This

    distance reflects the roundtrip of this emitted laser, thus dividing this time by two,

    and multiplying it by the speed of light to the distance between the sensor and the

    target, results in the distance with a high accuracy.Main differences between LiDAR sensors are related to the laser's wavelength,

    power, pulse duration and repetition rate, beam size and divergence angle, the

    specifics of the scanning mechanism (if any), and the information recorded for each

    reflected pulse. Lasers for terrestrial applications generally have wavelengths in the

    range of 9001064 nanometers, where vegetation reflectance is high. In the visible

    wavelengths, vegetation absorbance is high and only a small amount of energy

    would be returned to the sensor. One drawback of working in this range of

    wavelengths is absorption by clouds, which impedes the use of these devices during

    overcast conditions. (Lefsky et Al, 2002)

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    1.4.3 Uses of Lidar in forestry, ALS scanning

    In airborne laser scanning, a LiDAR sensor is placed beneath an aircraft, and

    registers data during the flight. For each laser pulse the current position is registered

    by means of differential GPS and IMU (Inertial Navigation Unit). Laser scanning

    provides big amounts of data which requires high processing capability. The gained

    data is usually processed by two methods, filtration and classification, in where the

    first one refers to separating points corresponding to an object and the second one to

    the separation of individual surfaces. These processes can be automatic or semi-

    automatic. In forestry ALS is specially used in the following tasks:

    1. tree identification

    2. measurement of tree parametres

    3. creation of a digital model of canopy surface and structure

    When obtaining datasets in forested areas laser pulses may reflect from different

    layers of vegetative covers (Maltamo et al. 2004)). A first echo or first return will

    represent the first layer, the second return and following will represent the middle

    layer and subsequence layers, and the last return will represent the earth ground.

    Analyzing the first and last return it is possible to determine some parameters of

    individual trees such as canopy structure, tree height or crop density (Mikita,

    Klimnek and Cibulka et. Al ,2009)

    A more recent approach when studying forest stands makes uses only of full-

    waveform ALS, this means not only from discrete return and their intensities

    (Heinzel and Koch 2011). By using the last return, DEM of high quality an be

    interpolated with a spatial resolution of 1m and a height accuracy of ca. 0.1 to 0.20m

    (Reutebuch et al 2003). A precise DEM can be intended for multiple purposes, as

    new terrain classifications for forest acces roads optimizations, (Akay and sessions

    2005) and increasing of Spatial Decision Support Systems (SDSS) in forestry

    (Kuhmaier, M. Et Stampfer,k 2010).

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    2. Analysis of Ai rborne LiDAR data for mensuration parameters.

    2.1 Area of study

    2.1.1 The forest

    The research was done in the forest area ofKtiny, in the Training Forest Enterprise

    (TFE) located North of the city of Brno, Moravia. This forest is part of the Mendel

    University of Brno and is used for training purposes as well as for example purposes,

    showing a silvicultural management in mostly deciduous beech forest stands. The

    area studied corresponds to 1170 ha of the total amount of 10000 ha that the TFE

    Ktiny holds. The compartments/stands analyzed are the 270/C, 376/D and 357A.

    Each of those compartments have a high level of monospecification and are suitable

    for statisical analysis due to the fact that disposed LiDAR images are not classified

    by spectrum, not allowing the study of correlation between absorption

    range/determination of genera. Tree genera found in this area arefagus sylvatica,

    picea abies, and quercus petraea,

    2.1.2 Field data

    Field mensuration data was received by the department of forest management. The

    file comprehends the following data: Compartment, Stand, Stand part, Storey, Age,

    Species, Percentage, DBH, Height, Volume/ha, Total Volume, Number of stems and

    Basimetric area.The number of stems are an estimation and are not surveyed in the forest, but

    assessed from yield tables. Its accuracy is quite low and it is not suitable for

    construction of spatial correlations.

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    2.1.3 Aerial data

    For the analysis ALS-data from GEODIS Brno s.r.o. was obtained. This scan was

    done during the vegetation period, in order to define better the layers. The scanner used

    was a Leica ALS50-II from a flight altitude of 1395 m with an average density of 4,3

    points per square meter. The resultant point cloud was created by the combination of

    several cross flights from different flight altitudes with a resultant average density of

    125,6 points per square meter.

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    2.2 Methodology

    Data analysis

    Data provided by the university were three files: the digital elevation model (DEM),

    digital surface model (DSM) and a file with the classification and respective names of

    compartments and tree percentage of the Ktiny area.

    The program used for all the analysis was ArcGis from ESRI and the tools mainly from

    the Arctoolbox..

    The first step was applying a geo-referencing projection system to the data acquired.

    The SJTK Krovak East North projection is the most used in Czech Republic and is theone used in our layers. Once this is done there are six processes that had to be done.

    1. Automatization of individual tree delineation

    2. Extraction of heights values to the identified trees, selection of the study areas.

    3. Clipping of trees to selected areas and calculation of mensuration parameters.

    4. Regression calculation of DBH/height relation for individual genera.

    5. Calculation of volumes using formulas from slovak models.

    6. Comparison of calculated volume and estimated volume.

    1. The automatization of individual tree selection was done by the use of focal

    statistics filtration. Focal statistics were applied to the layer of CHM05 with

    rectangular and circular neighborhood selection, in a 3 cell range. Results were

    named FocStat_C and FocStat_R shape files. All the following procedures

    will be done with both of those files to compare differences in both delineations.

    Once this was done, all the values were inverted by the math function times -1

    . This is done as preparation for the hydrological function flow direction and

    flow length. This functions simulate the flow of a liquid in the selected shape

    files. The flowlenght function has to be set up to downstream. All this process

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    provides us with the following files FD_CHMC, FD_CHMR and

    FL_CHMC and FD_CHMR. Then we reclassified the output files as, 0

    equals to value 1, and 0upper limit to NoData. The result is a cloud of points

    in one dimension. The function raster to polygon will be used as transition to

    convert this files in points with the feature to point function. At the end we

    have a geo-located point file with all the trees. The final files will be names

    treesC and treesR depending on their original filtration mode.

    2. The extraction of multivalues to the identified points will be realized with a

    bilinear interpolation and with use of the extract multiple values to points from

    the filtrated CHMC/CHMR file. The following step is to select the study

    polygons with the function select by attributes, selecting throught the sql

    function. The result will be the *_stand files. As an example a discrimination of

    areas where spruce is more than 80% and older than 110. Select by attributes/

    SM>80 AND VEK>110

    3. Through the clip function we add both selected trees, CHMR, and CHMC to

    the *_stand layer. The output is named GeneraTrees_C/GeneraTrees_R.

    Now we proceed to the following field calculator operations, calculation of DBH

    out of previous regression formulas and final calculation of volume with theformulas ofPetrasa a Pajtka.

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    3 Resul ts and conclusion

    Results of this analysis are represented as follows, 4 tables, including 3 regression

    tables for the tree genera used, one table with a summary of results and 4 figures with

    some snapshots of the methodology used.

    One of the most synthetizing parameters used in forestry to quantify a forest is the

    density, represented in this case by the number of stems by ha. During this study we

    compared two different forms of tree delineation, being the results very divergent.

    Rectangular focal statistic methods are the most common used if you dont want to

    make use of external software. Results in table 4 show that this method has greater

    success than circular methods of filtration.. This might be due to the raster-origin kind

    of file, which is written in rows and columns. Even so the number of stems is the

    parameter with higher error. Causes that might have been affecting this are various, age

    of the trees, incorrect estimations in the comparison yield tables or bad discrimination of

    tree-value spots.

    The calculation of heights, represented in table 4 by their mean, are highly

    accurate. LiDAR data is a system made for distance calculations and we can not

    attribute as correct the yield tables in comparison of the ALS data. Lidar scannings are

    exact in their height measurements. This has a high impact on the total results of the

    study, because DBH has been calculated from equations extracted from the yield tables,

    and so does volume, In consequence incorrect.. As shown in table 4, heights are very

    well determined with both filtration modes, concluding, that even being more successful

    the identification of trees using rectangular neighborhood focal statistics, the accuracy

    of heights is greater using the circular method.

    The DBH estimations were calculated by appliance of the regression equation

    obtained with Statistica. We classified the yield data by species and afterwards plotted

    the result, adding a trend line (Table 1,2,3).

    Logarithmic regressions presented problems in the generation of estimated DBH,

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    maybe because of being visual basic the language used in field calculator, which

    presents error in high exponential formulas. We opted for linear regression equations

    rather than trying to transcript the formulas into Python. Differences of determination

    coefficient were very low between linear and logarithmic and did not affect the final

    DBH mean.

    As shown in table 4 we get better values of DBH after a circular focal statistic filtration

    in beech and in oak. This might be due to a increment in the precision of height

    measurements, and in detriment of a lower stem identification. This result could lead to

    the use of combinational methods for better estimation of forest existences in deciduous

    species. For this purposes forest mensuration measurements should be taken in field to

    corroborate yield tables and add some exactitude to the whole calculations.

    Spruce shows lower values of accuracy in all the measured parameters, probably due to

    the higher amount of reflectance presented by deciduous trees.

    DBH values are in direct relation with the regression tables, calculated out from the

    yield table estimations provided, and they have relation with height. Statistical analysis

    was done throught the ArcGis field table option. The mean average of DBH is showing

    an accuracy of 3 cm, and only in the case of spruce it reaches 5.9 cm difference. Thiserror is attributed nor to the equation used, but to the unreliable yield table estimates.

    The estimation of volume has been done using the equations of Petra a Pajtka. Being

    individual volumes quite correct, the sum of those values differs from the yield tables

    (table 3. ) this is due to the amount of stems identified. We extropaleted results to the

    amount of stems of the yield table and results increased accuracy. Even so, its still

    below the expectations.

    To finalize I would like to list the main conclusions.

    Different methodologies to determine the individual stem identification have to

    be tested to define a guide line for this process depending on each specie.

    An exact inventory table is necessary for further comparisons, un precise

    estimations lead to imprecise comparisons.

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    The measurement of a specified area could be followed bya new regression

    equation which could add precision to the whole estimation.

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    4. Citations

    Chandra, S., Ziemke, J.R., Bjartia, P.K., and Martin, R.V. (2002). Tropical

    tropospheric ozone: Implications for dynamics and biomass burning,Journals of

    Geophysical Research, 108, 4921, doi: 10.1029/2002JD002912

    Mather, Paul M. Computer Processing of Remotely-sensed Images: An Introduction.

    Chichester: Wiley, 1987. Print. ISNN: S0098300400000923

    Baltsavias, E. P. 1999: Airborne laser scanning: existing systems and firms and other

    resources. ISPRS Journal of Photogrammetry and Remote Sensing, 54: 164198.

    (Mikita, Klimnek and Cibulka et. Al ,2009)

    Heurich, M., Schneider, T., Kennel, E. 2003: Laser scanning for identification of forest

    structures in the Bavarian forest national park. In: Hyypp, J., Naesset, E., Olsson, H.,

    Pahln, T. G., Reese, H. (Eds.) Proceedings of the ScandLaser Scientific Workshop on

    Airborne Laser Scanning of Forests. Swedish University of Agricultural Sciences in

    Umea, Sweden, 98107. ISSN 1401-1204.

    Maltamo, M., Eerikainen, K., Pitkanen, J., Hyypp, J., Vehmas, M. 2004: Estimation of

    timber volume and stem density based on scanning laser altimetry and expected tree size

    distribution functions. Remote Sensing of Environment, 90: 319330.

    Lefsky, Warren B. Cohen, Geoffrey G. Parker, David J. Harding. (2002). LiDAR

    Remote Sensing for Ecosystem Studies. Bioscience. 52,n1 (1), 19-33.

    Heinzel, J., Koch, B. 2011: Exploring full-waveform LiDAR parameters for tree species

    classification. International Journal of Applied Earth Observation and Geoinformation,

    13(1): 152-160. ISSN 0303-2434.

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    Holopainen, M. 2011: Effect of airborne laser scanning accuracy on forest stock and

    yield estimates [doctoral dissertation]. Helsinky: Department of Surveying, Aalto

    University, 160 p.

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    5. Appendices

    Table 1, Regression offagus sylvatica

    Table 2,Regression of quercus petraea

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    Table 3,Regression ofpicea abies

    Compartment 357/A-4-4,fagus sylvatica,

    Number ofstems Percentage DBH Height Total volume

    Total volumeE.

    Data_Tables 1617 77 17 14 256

    Data_Lidar_R 227 14.962 12.943 26.553 189.144

    Data_Lidar _C 89 15.729 13.773 12.924 234.809

    Compartment 370/C-9-9, picea abies

    Number ofstems Percentage DBH Height Total volume

    Total volumeE

    Data_Tables 389 89 33 28 417

    Data_Lidar_R 185 39.539 29.519 500.977 1053.406

    Data_Lidar_C 96 37.151 31.332 326.703 1323.828

    Compartment 376/D-13-13, quercus p etraea

    Number ofstems Percentage DBH Height Total volume

    Total volumeE

    Data_Tables 1458 100 34 23 1546

    Data_Lidar_R 1160 29.843 21.602 907.058 1140.077

    Data_Lidar _C 421 30.653 22.107 353.524 353.524

    Table 4, Results

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    Figure 1, Digital Surface model and identified trees. Green spots stand for

    rectangular filtration and violet spots for circular filtration.

    Figure 2, Identified stems of spruce after rectangular focal statistics., the background is

    the inverted canopy height model.

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    Figure 3, Identified stems of spruce after rectangular focal statistics.. the background is

    the inverted canopy height model, circular approach.

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    Figure 4, 3D representation of the CHM and the same points listed before, spruce with

    both filtrations.

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