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1.     W    Wines  Ba p KW  A x                 ASS     LPT oy           K    A       DECAGON  DEVICES    We measure the world        Leaf Area Index   LAI   is one of the most widely used measurements for  describing plant canopy structure  LAI is also useful for understanding canopy  UBI eai Dece tce MIN O e Co ETT Tee TT T o e   alc eNA CocurT et ire leer nae Fol ee de anr ane LA Is oen ae  biopnysical variable used in biogeocnemical  hydrological  and ecological  PEGE Swe MSc   SOrcOniiOn R E HSE STE E OST STE DHE 0  C COrc ele sm ore 10  and productivity at spatial scales ranging from the plot to the globe     In the past  measuring LAI was difficult and time consuming  However   Hearn EVO  LEGNINCIOS IST EE li FSCS SEIS lene Tae EH SE Ue   LA  mucn simpler and more feasible for a wide range of canopies   he  iolon epe de T Mmlenced 10 CrOvide a Ole HT ee  s TTT eT  o  neon ele MSE TS HT D EI TT IGN  T R IST Ia TTT  Ta TH HET D EEIT TESTS eT TEH Oae Gle S aI  most appropriate method for their research needs     LAI  Theory and Practice v  1 0  Copyright  2014  Decagon Devices  Inc  All Rights Reserved   Printed in the U S A       Table of Contents    S SR  T L S  iter ere tce tne eect e rene eset tree T T I   2 How to Measure B  TTT 2  ZAP DIFE CE measurement aa aa E a N T T  2  G Ile RR L EIL 2  2 22f HeMmMSPNehicalapMOlLOSla Piles  desacees sen eee mie ce cise tes cen ce eee es 2  2 2 Dol ISI RTE RZ LAST TH RT Le aera a a 3  223 kadiatonrenectance mee erm na r a crate r E
2.   Seasonally  annual and deciduous canopies and croplands can exhibit large variations in LAI  For example   from seeding to maturity  maize LAI can range from O to 6  Obviously  LAI is a useful metric for describing  both spatial and temporal patterns of canopy growth and productivity        Ground Area   1 m  Ground Area   1 m   Leaf Area   1 m  Leaf Area   3 m   LAl Leaf Area  Ground Area   1 1   1 LAl Leaf Area  Ground Area   3 1   3    Figure    Conceptual diagram of a plant canopy where  a  LAI   1 or  b  LAI   3        2  Measuring LAI    There is no one    best    way to measure LAI  Each method has advantages and disadvantages  The  method you choose will depend largely on your research objectives  The researcher who needs a single  estimate of LAI might use a different method than the one who is monitoring changes in LAI over time   for example  and the grassland researcher may prefer a different method than the forestry researcher    In this guide  we ll discuss the theoretical basis of each of the major methods along with key advantages  and limitations     2 1 Direct Measurement    Traditionally  researchers measured LAI by harvesting all the leaves from a plot and painstakingly  measuring the area of each leaf  Modern equipment like flatoed scanners have made this process  more efficient  but it is still labor intensive  time consuming and destructive  In tall forest canopies   it may not even be feasible  It does  however  remain the most accurate method of cal
3.  4  3  Using the LP 80 Ceptomete               cccecnssscccennsscccennsescenneeseennnnssesnnns 7  i ed Paes   0  Tale Se a a ene een ae eee eae aaa 9  eE E E E a E E 9  373 2 ClUMPING andispatalsampline Sa a a a a ce ene eee ce ete oe oe eee IO  AAO ele le allet Len     3 5  Influence of non photosynthetic elements sese x e x K x K x K x K x K x K x K K K KKK     4  Using the SRS NDVI Sensor ss ss ss ss es s s es es anana anana anana eaa 12  4 1  Developing field based NDVI LAI regression models               000eeeee eens  I3  4 2  SRS NDVI Sampling considerations         1    cece x e c ee eee K Kee 14  4 3  Influence of soil background on NDVI measurements sexe x e x e x e x e x K eee ee I5  4 4  Dealing with NDVI saturation in high LAI canopies                   ceeeeeeeeeee I6    References Sr aT a E etree eae anime E T E E E I8               What is LAI        Leaf Area Index   LAI   quantifies the amount of leaf material in a canopy  By definition  it is the ratio of one   sided leaf area per unit ground area  LAI is unitless because it is a ratio of areas  For example  a canopy  with an LAI of 1 has a 1 1 ratio of leaf area to ground area  Fig  1a   A canopy with an LAI of 3 would have  a 3 1 ratio of leaf area to ground area  Fig  1b      Globally  LAI is highly variable  Some desert ecosystems have an LAI of less than 1  while the densest  tropical forests can have an LAI as high as 9  Mid latitude forests and shrublands typically have LAI values  between 3 and 6   
4.  for any given canopy  K only changes as the Sun moves across  the sky  The LP 80 automatically calculates K each time it measures LAI     Once K is calculated and all other variables quantified  LAI is calculated as     n A LT nt  A 1  047f      Equation3         where L is LAI and A is leaf absorptivity  By default A is set to 0 9 in the LP 80  Leaf absorptivity is a highly  consistent property for most healthy green foliage and a value of 0 9 is a good approximation for most  situations  In extreme cases  e g   extremely young leaves  highly pubescent or waxy leaves  senescent  leaves  A may deviate from 0 9  leading to errors in estimates of LAI  If you are using the LP 80 in non   typical conditions you may need to manually combine the outputs from the LP 80 with a modified A value to  calculate LAI     Using the LP 80 Ceptometer   8       3 1 Using the LP 80 in short canopies  e g   cereal crops  grasslands     In typical scenarios it is best to hold the ceptometer at a consistent height underneath the canopy  while  the attached external PAR sensor is held above the canopy  Use the attached bubble level to ensure that  the light bar and external PAR sensor are held level  For row crops or small sample plots  researchers often  mount the external sensor on a tripod in between rows or above the canopy  The LP 80 makes simultaneous  above  and below canopy PAR measurements each time the button is pressed  accounting for any changes  in light conditions  If the canopy is s
5.  leaf off    stage     o Using the SRS NDVI Sensor    In depth technical SRS NDVI specifications and operating details  are provided in the manual  which can be accessed on the web    decagon com support manual spectral reflectance sensor srs         4  Using the SRS NDVI sensor    The SRS NDVI sensor measures canopy reflectance in red and NIR wavelengths  which allows for calculation  of the Normalized Difference Vegetation Index  NDVI   In turn  NDVI can be used to estimate LAI  We provide a  brief overview of the SRS NDVI operating theory here     The SRS NDVI measures canopy reflectance in red and NIR wavelengths  and its measurements can be used to  calculate or approximate LAI  Red and NIR reflectances are used the following equation to calculated NDVI     Equation 4 NDVI   PNIR Pred  Purr Pred    where p denotes percent reflectance in NIR and red wavelengths  Mathematically  NDVI can range from  1  to 1  As LAI increases  red reflectance will typically decrease due to increasing canopy chlorophyll content   whereas NIR reflectance increases due to expanding mesophyll cells and increasing canopy structural  complexity  So  under typical field conditions NDVI values typically range from somewhere around O to 1   representing low and high LAIs  respectively     In cases like phenology and    stay green    phenotyping where absolute values of LAI are not required    NDVI values can be used directly as proxies for LAI  For example  if the objective of a study is to track th
6. 5a   In the  presence of clouds or haze  however  some portion of the beam radiation is scattered by water  vapor and aerosols in the atmosphere  Fig  5b   This scattered component is referred to as diffuse  radiation  f  is calculated as the ratio between diffuse and beam radiation  The LP 80 automatically  calculates fo by comparing measured values of incident PAR to the solar constant  which is a known  value of light energy from the sun  assuming clear sky conditions  at any given time and place on  earth   s surface     x  leaf angle distribution   The leaf angle distribution parameter  x  describes the projection  of leaf area onto a surface  Imagine  for example  a light source directly overhead  The  Shadow cast by a leaf with a vertical orientation would be much smaller than the shadow  cast by a leaf with a horizontal orientation  In nature  canopies are typically composed of  leaves with a mixture of orientations  This mixture is often best described by what is known  as the spherical leaf distribution with a Y value   1  the default in the LP 80   Canopies with  predominately horizontal orientations  such as strawberries  have x values  gt  1  whereas  canopies with predominately vertical orientations  like some grasses  have Y values  lt  1     Extensive details about the LP 80   s LAI model are provided in the user   s manual     www decagon com education lp 80 manual        Using the LP 80 Ceptometer       Figure 4  Solar zenith angle changes during the day  Ob
7. alues collected at different locations or  at different times of the year  It can also make it difficult to establish a reliable NDVI LAI regression model   as discussed in Section 4 1  The Modified Soil Adjusted Vegetation Index  MSAVI  was developed by Qi et al    1994  as a vegetation index that has little to no soil sensitivity  MSAVI is calculated as     La  2     _  2P NIR  1  20 T 1  BLO  Prea     2    Equation6 MSAVI      Advantages of MSAVI include   1  it requires no soil parameter adjustment  and  2  it uses the exact same  inputs as NDVI  red and NIR reflectances   meaning that it can be calculated from the outputs of any NDVI  sensor     Using the SRS NDVI Sensor    NDVI       LAI    Figure 9   NDVI has limited sensitivity to LAI values greater than 3 4     4 4 Dealing with NDVI saturation in high LAI canopies    In addition to soil sensitivity  NDVI also suffers from a lack of sensitivity to changes in LAI when LAI is  greater than approximately 3 to 4  depending on the canopy  Fig  9   Decreased NDVI sensitivity at high  LAI is due to the fact that chlorophyll is a highly efficient absorber of red radiation  Thus  at some point   adding more chlorophyll to the canopy  e g   through the addition of leaf material  will not appreciably  change red reflectance  see Fig  3      Several solutions to NDVI saturation have been developed  One of the simplest solutions uses a weighting  factor that is applied to the near infrared reflectance in both the numerator and den
8. ampling under clear sky conditions  Garrigues et al   2008   This is because there is a  larger proportion of radiation coming from a single angle  the beam radiation directly from the sun   Under  these conditions it is important to correctly model how leaf angle and beam penetration angle interact  So   when sampling under clear sky conditions make sure that you are using an appropriate Y value     ae    va    1  F    E f p   4   HISSI ITN      UI l  1 1   1HE      i   E iii   Ml Wi  1    a eres aS       3 5 Influence of non photosynthetic elements    In forests  shrublands  and other areas where woody species are present  LP 8O measurements will be  influenced by elements other than leaves  For example  tree boles  branches  and stems will intercept some  radiation  and thus have an effect on estimates of LAI obtained with the PAR inversion technique  In fact   some researchers refer to the measurement obtained from the LP 80 and similar instruments to Plant Area  Index  PAI  rather than LAI  in order to acknowledge the contribution of non leaf material to the measurement   It should come as no surprise that PAI will be higher than LAI in any given ecosystem  However  values of   PAI and LAI are often not too different because leaf area is generally much larger than branch area and   the majority of branches are shaded by leaves  Kucharik et al   1998   In deciduous ecosystems  the  contribution of woody material can be accounted for by acquiring measurements during the   
9. culating LAI  because each individual leaf is physically measured     Litter traps are another way to directly measure LAI  but they don   t work well in evergreen canopies and  can only capture information from leaves that have senesced and abscised from the plant     2 2 Indirect Measurement    Several decades ago  canopy researchers began to look for new ways to measure LAI  both to save  time and to avoid destroying the ecosystems they were trying to measure  These indirect methods  infer LAl from measurements of related variables  such as the amount of light that is transmitted  through or reflected by a canopy         Figure 2   Hemispherical photograph acquired  from a mixed deciduous forest  using a digital camera  fisheye lens     2 2 1 Hemispherical Photography    Hemisphere photography was one of the first methods used to indirectly estimate LAI  Researchers would  photograph the canopy from the ground using a fisheye lens  Fig  2   Photographs were originally analyzed  by researchers themselves  Now  most researchers use specialized software to analyze images and  differentiate between vegetated and non vegetated pixels     Advantages    Hemispherical photography has decided advantages  First  it delivers more than just LAl measurements   It can also provide canopy measurements such as gap fraction  sunfleck timing and duration  and other  canopy architecture metrics  Second  the canopy images can be archived for later use or for reanalysis as  methods change and 
10. e  temporal patterns of canopy growth and senescence  Fig  6   then it may be adequate to simply use NDVI as  the metric  If your research objectives require estimates of actual LAI  it is possible to establish a canopy   specific model that will allow NDVI to be converted to LAI  This method is described in the next section     Using the SRS NDVI Sensor    Leaf Area Index    NDVI       2000 2001 2002 2003 2004 2005 2006 2007    Year    Figure 6   NDVI closely tracks the year to year seasonal dynamics of LAI in a mixed deciduous forest     4 1 Developing field based NDVI LAI regression models    To directly estimate LAI using NDVI values  you need to develop a site specific or crop specific correlative  relationship  The best way is to take co located measurements of NDVI and LAI  e g   using a LP 80  ceptometer   For example  co located measurements of LAI and NDVI were acquired during a period of rapid  canopy growth  Least squares regression was used to fit a linear model to the data  Fig  7   With this model   we can use NDVI to predict LAI without making independent measurements     Developing a robust empirical model involves some effort  but once the model is complete  you can  continuously monitor changes in LAI with a SRS NDVI sensor deployed over a plot or canopy long term   This method can ultimately save significant effort and time in the long run       Al     N D VI e 5 74   l  4    Figure 7    Relationship between NDVI and LAI  The fitted linear  regression mode
11. er of sensors  80    Overall length  102 cm  40 25 in     Microcontroller dimensions  15 8 x 9 5 x 3 3 cm  6 2 x 3 75 x 1 3 in    PAR range  O to  gt 2 500 umol m  s     Resolution  1 umol m  st    Minimum spatial resolution  1 cm    Data storage capacity  1MB RAM  9000 readings    Unattended logging interval  User selectable  between 1 and 60 minutes   Instrument weight  1 22 kg  2 7 Ibs     Data retrieval  Direct via RS 232 cable    Power  4 AA Alkaline cells    External PAR sensor connector  Locking 3 pin circular connector  2 m cable    Extension cable option    6 m  25 ft      SRS NDVI       raae    Campbell  G S   Norman  J M   1998  An Introduction to Environmental Biophysics  2nd Edition  Springer Verlag  New York  NY U S A     Garrigues  S   Shabanov  N V   Swanson  K   Morisette  J T   Baret  F   Myneni  R B   2008  Intercomparison and sensitivity analysis of Leaf Area Index retrievals  from LAI 2000  AccuPAR  and digital hemispherical photography over croplands  Agricultural and Forest Meteorology  148 1193 1209     Gitelson  A A   2004  Wide dynamic range vegetation index for remote quantification of biophysical characteristics of vegetation  Journal of Plant Physiology   161 165 173     Hyer  E J   Goetz  S J   2004  Comparison and sensitivity analysis of instruments and radiometric methods for LAI estimation  assessments from a boreal  forest site  Agricultural and Forest Meteorology  122 157 174     Jiang  Z   Huete  A R   Didan  K   Miura  T   2008  Developmen
12. getation has a very distinct spectrum  Fig  3   In fact  some scientists have  proposed finding potentially habitable planets outside our solar system by looking for this unique spectral  signal  A typical vegetation reflectance spectrum has very low reflectance in the visible portion of the  electromagnetic spectrum   400 700 nm  which is also the PAR region   However  in the near infrared  NIR   region   gt  700 nm  reflectance can be as high as 50   The exact amount of reflectance at each wavelength  depends on the concentration of various foliar pigments like chlorophyll and canopy structure  e g    arrangement and number of leaf layers         Advantages    Early attempts to use spectral reflectance data to quantify canopy properties found that the ratio of red  and NIR reflectance could be used to estimate the percent canopy cover for a given area  Later efforts  have produced a number of different wavelength combinations that relate to various canopy properties   These wavelength combinations  or spectral vegetation indices  are now routinely used as proxies for LAI or   through empirical modeling  are used to directly estimate LAI     Until recently one of the only ways to collect reflectance data was with a handheld spectrometer   an  expensive  delicate instrument designed for the lab  not the field  But sensor options have expanded with  the development of lightweight multiband radiometers that measure a specific vegetation index  These little  sensors are inexpens
13. hort enough  an even easier approach is to use the ceptometer to  acquire both above and below canopy measurements  Simply hold the LP 80 above the canopy to acquire an  incident PAR measurement  Update the above canopy measurement every few minutes or as sky conditions  change  e g   due to variable clouds   In either case  all the other variables discussed in Section 3 are  measured and calculated automatically  and LAI is updated with each below canopy measurement        3 2 Using the LP 8O in tall canopies  e g   forests  riparian areas     In tall canopies it is often not practical to measure above and below canopy PAR with one instrument  When  using the LP 8O in tall canopies there are a couple of options available for making above and below canopy  measurements of PAR     One option is to mount a PAR sensor above the canopy or in a wide clearing with an unobstructed view   of the sky  This method requires some additional post processing of the data  but can give good results   The PAR sensor needs to be attached to its own data logger  which should be configured to acquire  measurements at regular intervals  e g   every 1 5 minutes  so that any variation in ambient light levels will  be captured  You should collect below canopy measurements with the ceptometer as you normally would   then combine the data in post processing  using the timestamps to pair each above  and below canopy  measurement  Calculate t with each pair  which can then be used as an input to Equatio
14. ive and don   t require a lot of power  making them perfect for field monitoring     This is good news for anyone who wants to monitor changes in LAI over time  including researchers  interested in phenology  canopy growth  detecting canopy stress and decline  or detecting diseased plants     Vegetation indices offer another advantage  many earth observing satellites like Quickbird  Landsat  and  MODIS measure reflectance that can be used to calculate vegetation indices  Since these satellites observe  large areas  they may serve as a way of scaling observations made at the local scale to much broader  areas  Conversely  measurements made at the local scale with a multiband radiometer can be a useful  source of ground truth data for satellite derived vegetation indices     0 05    0 45    0 4    0 39    0 03    0 25    0 2    Reflectance    0 15       400 500 600 700 800 900 1 000    Wavelenstn nm     Figure 3   Reflectance Spectra obtained at different stages of canopy development  Note the distinct difference between visible and near  infrared  NIR  reflectance that develops as LAI increases     Multiband radiometers also offer a    top down    option for extremely short canopies like shortgrass prairie  and forbs  It   s difficult if not impossible to use most LAI estimation methods with these canopies  because  the equipment is too big to fully fit beneath the canopy  Vegetation indices are measured using sensors that  view the canopy from the top down  making them a grea
15. l  solid line  can be used to predict LAI  from NDVI measurements        0 3 0 4 0 5 0 6 0 7 0 8 O08    NDVI    Using the SRS NDVI Sensor    S  E   2      hy  AN    A N HSI a       2 fs Ale 9 ing       4 2 SRS NDVI sampling considerations    The SRS NDVI is designed to be used as a dual view sensor  This means that one sensor  having a  hemispherical field of view  should be mounted facing toward the sky  The other sensor  having a 36    field of view  18   half angle   should be mounted facing downward at the canopy  Down and up looking  measurements collected from each sensor are used to calculate percent reflectance in the red and NIR  bands  Percent reflectances are used as inputs to the NDVI equation  Eq  4      The up looking sensor must be placed above any obstructions that will block the sensor   s view of the sky   The down looking sensor should be directed at the region of the canopy to be measured  The size of the    area measured by the down looking sensor is dependent on the sensor   s height above the canopy  The spot  diameter of the down looking sensor is calculated as     Equation 5 Spot Diameter    tan  y xh  x1    where y is the half angle of the field of view  18   for the SRS NDVI   and h is the height of the sensor above  the canopy  Equation 5 is valid for measuring spot diameter when the down looking sensor is pointed  straight down  i e   nadir view angle   In cases where the down looking sensor is pointing off nadir  the spot  will be oblique and wil
16. l be larger than that calculated by Equation 5     To quantify spatial variability in LAl  several down looking sensors can be set up to monitor different portions  of the canopy  For example  several sensors were mounted above the canopy in a deciduous forest to  monitor differences in spring phenology of several trees  Measurements of NDVI revealed differences in the  timing and magnitude of leaf growth among the trees that were measured  Fig  8   A similar approach could  be used to monitor the response of plants in individual plots subject to experimental manipulation  or to  monitor growth patterns across different agricultural units     Using the SRS NDVI Sensor    O95         sr  0 90  D ASPEN 2  0 85  RED OAK       A 0 80 77 RED OAK 2  2   0 75  amp  BIRCH    4 BIRCH 2  0 70  O RED PINE  0 65  140 142 144 146 148 I50 152 154  Day of the Year  Figure 8     Spatial variability of NDVI during spring green up  The variability is driven by differences in the timing of leaf development among  individual trees and tree species     4 3 Influence of soil background on NDVI measurements    Considerable error in NDVI measurements can occur when soil is in the field of view of the SRS NDVI sensor   or in situations where the amount of soil in the field of view changes due to canopy growth  e g   from   early to late growing season   Qi et al   1994  showed that NDVI is sensitive to both soil texture and soil  moisture  This soil sensitivity can make it difficult to compare NDVI v
17. n 3       amp  Using the LP 80 Ceptometer       The second option is useful to use when it is not feasible to place a PAR sensor above the canopy or when  a PAR sensor or data logger is not available  If this is the case then you can use the LP 80 to measure  incident PAR in a location outside the canopy with an unobstructed view of the sky  In measurement mode   you can choose whether you are measuring incident or transmitted radiation  When using the LP 80O itself to  take above and below canopy readings  you should take the variability of sky conditions into account     On a clear sky day  it is easiest to acquire samples toward the middle of the day  since the light levels  won   t change much over the span of 20 to 30 minutes  When sky conditions are uniformly overcast  PAR  conditions can remain sEquation 6 for longer periods of time  giving you a longer measurement window  before needing to reacquire an above canopy measurement     If sky conditions are highly variable  however  we do not recommend this method unless you can constantly  update the incident PAR measurement  The LP 80 automatically calculates LAI with each below canopy  measurement using the stored incident PAR measurement  Reacquire an incident PAR measurement any  time light conditions change  e g   when cloud obstructs the solar disk  or after   20 30 minutes have  passed  to prevent error in the LAI calculation     3 3 Clumping and spatial sampling    In most canopies  LAI is variable across space  F
18. ominator of Equation  4  The resulting index is called the Wide Dynamic Range Vegetation Index  WDRVI  Gitelson  2004   The  weighting factor can be any number between O and 1  As the weighting factor approaches O the linearity  of the WDRVI LAI correlation tends to increase at the cost of reducing sensitivity to LAI changes in sparse  canopies     The Enhanced Vegetation Index  EVI  is another vegetation index that has higher sensitivity to high LAI  compared to NDVI  EVI was originally designed to be measured from satellites and included a blue band  as an input to alleviate problems associated with looking through the atmosphere to earth   s surface from  orbit  Recently  a new formulation of EVI has been developed that does not require a blue band  This  modified version of EVI is referred to as EVI2  Jiang et al   2008   Similar to the MSAVI index described in  Section 4 3  EVI2 uses the exact same inputs as NDVI  red and NIR reflectances   and is calculated as     DR   Pred    Susie Woa S  iadi Ps OAD RS    Another advantage of EVI2 also is that it has less soil sensitivity compared to NDVI  Thus  EVI2 is a  good all around vegetation index for estimating LAI since it has low sensitivity to soil and has a linear  relationship with LAI     pase    CC TARR elie Oi iS ec ETS Te TS H E we e ay Mets  Soela de  do 31T deel wise  9S eee e ERI G LH ol eneesiis wus   Pn OST NEER 5 THH G H IG COTE TETE ISTR iia  combination with the information provided above wnen making decision
19. or example  in row crops  LAI can range from O to   2 3 within a distance of 1 meter  Even in forests and other natural canopies  variable tree spacing   branching characteristics  and leaf arrangement on stems causes clumping  This means that point    based measurements of LAI can be highly biased  Lang and Yueqin  1986  found that averaging several  measurements along a horizontal transect helped alleviate biases associated with clumping at fine spatial  scales     The LP 80 uses a similar approach  averaging light measurements across eight groups of ten sensors  situated along an 80 cm long probe  Although this approach reduces errors at the local scale  it may not  account for variability in LAl at the canopy scale  Researchers must consider spatial variability in canopy  LAI when developing a sampling scheme  In general  more heterogeneous canopies will require more LAI  measurements across space in order to obtain a LAI value that is representative of the entire canopy     Using the LP 80 Ceptometer       3 4 Atmospheric conditions    The LP 80 is capable of accurately measuring LAI in both clear sky and overcast conditions  This is because  the LAI model used by the LP 80 accounts for changes in diffuse and beam radiation  S   solar zenith angle   0   and because incident and transmitted radiation are measured simultaneously when using an above   canopy PAR sensor  Errors associated with incorrectly specifying the leaf angle distribution  x  are most  pronounced when s
20. orbed or reflected it  thus t will be close to  1  As the amount of leaf material in the canopy increases  there is a proportional increase in the  amount of light absorbed and a decreasing proportion of light will be transmitted to the ground  surface  The LP 80 consists of a light bar  which has 80 linearly spaced PAR sensors  and an  external PAR sensor  In typical scenarios  the light bar is used to measure PAR under the canopy   whereas the external sensor is meant to quantify incident PAR  either above the canopy or ina  clearing  Additional measurement scenarios are covered in Sections 3 1 and 3 2     0  solar zenith angle   0 is the angular elevation of the sun in the sky with respect to the zenith  or  the point directly over your head  at any given time  date  and geographical location  Fig 4     The solar zenith angle is used to describe the path length of photons through the canopy  e g   ina  closed canopy the path length increases as the sun approaches the horizon   and for determining  the interaction between beam radiation and leaf orientation  discussed below     0 is automatically calculated by the LP 80 using inputs of local time  date  latitude and longitude   Therefore  it is critical to make sure that these are correctly set in the LP 80 configuration menu     86 5 cm    f   beam fraction   In an outdoor environment  the ultimate source of shortwave radiation is the   sun  When the sky is clear  most radiation comes as a beam directly from the sun  Fig  
21. rovides the theoretical  basis for this relationship  For the purposes of environmental biophysics  Beer   s law is formulated as     Equation  PAR   PAR  exp    kz     where PAR  is transmitted photosynthetically active radiation  PAR  measured near the ground surface   PAR  is PAR that is incident at the top of the canopy  z is the path length of photons through some  attenuating medium  and k is the extinction coefficient     In the case of vegetation canopies  z accounts for LAI  since leaves are the medium through which photons  are attenuated  You can see that if we know k and measure PAR  and PAR  it may be possible to invert  Eq  1 to calculate z as an estimate of LAI  This approach is commonly referred to as the PAR inversion  technique  The real world is slightly more complex  but as you will see in Section 3  Beer   s law is the  foundation for estimating LAI using measurements of incident and transmitted PAR     Advantages    The PAR inversion technique is non destructive  one obvious but major advantage that allows a canopy  to be sampled extensively and repeatedly through time  The PAR inversion technique is also attractive  because it has a solid foundation in radiative transfer theory and biophysics and is applicable in a wide  variety of canopy types  For these reasons  the PAR inversion technique is currently a standard and well   accepted procedure     In addition to handheld instruments like Decagon   s LP 80 ceptometer  standard PAR sensors  a k a   quant
22. s about  WIG TE SHS Me  SS    Steven Garrity  Ph D  Canopy Scientist  amp  Product Manager    QUICK LA  Method Comparison Cnart    Method Relative Temporal Suitability Suitability Spatial Ease of Vertical  Cost Sampling for Tall for Short Scaling Collecting Profiling  Single or Continuous Canopies Canopies Samples Samples  Measurements  Destructive H  Single L H L VL Yes  Harvest  Litter Traps M Single H L L M M NIS  Hemispherical V Single H L M M NIS   Photography  PAR Inversion M Both  H  H M H Yes   LP 80   Vegetation L  VH Continuous NM  VH M H VH No  Index  a ae with LP 80 een access to  Intensive Continuous with top of canopy or large  subcanopy PAR open area     sensors         Requires access to  top of canopy     Key   VL   very low  L   low  M   moderate  H   high  VH   very high       SRS Multiband Radiometer    Accuracy  10  or better for spectral irradiance and radiance values   Dimensions  43 x 40 x 27 mm    Calibration  NIST traceable calibration to known spectral irradiance and radiance   Measurement Time   lt  300 ms    Connector Type  3 5 mm  stereo  plug or stripped and tinned wires   Communication  SDI 12 digital sensor    Data logger compatibility   not exclusive  Decagon Em50 series  Campbell Scientific   NDVI bands  Centered at 630 nm and 800 nm with 50 nm and 40 nm Full Width Half  Maximum  FWHM   respectively           LP 80 Ceptometer    LP 80 Ceptometer    Operating environment  O to 5  C  O to 100  relative humidity    Probe length  86 5 cm    Numb
23. server is facing the equator  Left    Figure 5  Beam fraction under  a  Sunny and  b  overcast sky conditions  Right         In general x describes how much light will be absorbed by the leaves in a canopy at different times of day as the  sun moves across the sky  The estimation of LAI with the PAR inversion technique is not overly sensitive to the  x value  especially when sampling under uniformly diffuse sky conditions  Garrigues et al   2008   The x value is  most important when working with canopies displaying extremely vertical or horizontal characteristics and when  working under clear sky conditions where fb is less than approximately 0 4  For additional information about leaf  angle distribution  the reader is referred to Campbell and Norman  1998      K  extinction coefficient   The canopy extinction coefficient  K  describes how much radiation is absorbed   by the canopy at a given solar zenith angle and canopy leaf angle distribution  The concept of an extinction  coefficient comes from Beer   s law  Eq  1   A detailed explanation of the extinction coefficient can quickly become  complicated  For LAI estimation it is sufficient to know that the angle of solar beam penetration interacts with  leaf angle distribution to determine the probability that a photon will be intercepted by a leaf  For purposes of  estimating LAI  K is calculated as     N x     tan      Equation 2 K                       X 1 744  x 1 182          From this equation it should be obvious that 
24. software programs improve     Limitations    Hemispherical photography has drawbacks  however  In spite of the fact that the images are now digitally  processed  user subjectivity remains a significant issue  Users must select image brightness thresholds  that distinguish sky pixels from vegetation pixels  causing LAI values to vary from user to user or when  using different image analysis algorithms     Hemispherical photography also remains time consuming  It takes time to acquire good quality images in  the field and more time to analyze the images in the lab  Also  sky conditions must be uniformly overcast  when the pictures are taken  Hemispherical photography does not work well for short canopies like wheat  and corn since the camera body  lens  and tripod may not physically fit under the canopy     For some users  instruments that measure PAR offer a shortcut  Some models use LAI values to estimate PAR  In this case  the PAR  instrument can be used to directly estimate below canopy levels of PAR  improving the accuracy of the model     2 2 2 Radiation Transmittance    Several commercially available instruments  including Decagon   s LP 80 ceptometer  offer an alternative  to hemispherical photography  They estimate LAI using the amount of light energy transmitted by a plant  Canopy     The idea is fairly simple  a very dense canopy will absorb more light than a sparse canopy  This means  there must be some relationship between LAI and light interception  Beer   s law p
25. t alternative in cases like these     Limitations    One of the biggest limitations of vegetation indices is that they are unitless values  and when used alone   do not provide an absolute measure of LAI  If you don   t need absolute LAI values  the vegetation index value  can be used as a proxy for LAI  If you need absolute values of LAI  however  you will need to use another  method for measuring LAI in conjunction with the vegetation index until enough co located data has been  gathered to produce an empirical model     This method can also be limited due to the location of sensors  By nature  reflectance must be measured  from the top of a plant canopy  which may not be feasible in some tall canopies     3  Using the LP 80 ceptometer                                      Decagon   s LP 80 ceptometer uses the PAR inversion technique for calculating LAI  The LP 80  uses a modified version of the canopy light transmission and scattering model developed by Norman  and Jarvis  1975   Five key variables used as inputs are discussed below     t  ratio of transmitted and incident PAR   The most influential factor for determining LAI with any  PAR inversion model is the ratio of transmitted to incident PAR  This ratio  t  is calculated using  measurements of transmitted PAR near the ground surface and incident PAR above the canopy     t is a relatively intuitive variable to understand  When LAI is low  most incident radiation is  transmitted through the canopy rather than being abs
26. t of a two band enhanced vegetation index without a blue band  Remote Sensing of  Environment  112 3833 3845     Kucharik  C J   Norman  J M   Gower  S T   1998  Measurements of branch area and adjusting leaf area index indirect measurements  Agricultural and Forest  Meteorology  91 69 88     Lang  A R G   Yueqin  X   1986  Estimation of leaf area index from transmission of direct sunlight in discontinuous canopies  Agricultural and Forest  Meteorology  37  229 243     Norman  J M  Jarvis  PG   1974  Photosynthesis in Sitka spruce  Picea sitchensis  Bong   Carr   Ill  Measurements of canopy structure and interception of  radiation  Journal of Applied Ecology  12 839 878     Rouse  J W   Haas  R H   Schell  J A   Deering  D W   1973  Monitoring vegetation systems in the Great Plains with ERTS  Third ERTS Symposium  NASA SP   351    309 317     Qi  J   Chehbouni  A   Huete  A R   Kerr  Y H   Sorooshian  S   1994  A modified soil adjusted vegetation index  Remote Sensing of Environment  48 119 126        Leaf Area Index    DISTRIBUTED BY       2365 NE Hopkins Ct  Pullman  WA 99163  email  instruments decagon com   phone  1 509 332 2756   fax  509 332 5158   web  www decagon com    DECAGON  DEVICES    We measure the world        
27. um sensors  can also be used to measure transmitted radiation for a PAR inversion model  The  advantage to using PAR sensors as opposed to a purpose built  handheld LAI instrument is that PAR  sensors can be left in the field to continuously measure changes in PAR transmittance  This may be useful  when studying rapid changes in canopy LAI or when it is not feasible to visit a field site frequently enough  to capture temporal variability in LAI with a handheld instrument     Limitations    The PAR inversion technique has a few limitations  It requires measurements of both transmitted  below  canopy  and incident  above canopy  PAR under identical or very similar light conditions  This can be  challenging in very tall forest canopies  although incident PAR measurements can be made in large canopy  gaps or clearings  Also  in extremely dense canopies PAR absorption may be nearly complete  leaving little  transmitted light to be measured at the bottom of a canopy  This makes it difficult to distinguish changes  or differences in LAI when LAI is very high  Finally  estimates of LAI obtained from measurements of  transmitted PAR can be affected by foliage clumping  Errors in LAI estimation associated with clumping can  usually be alleviated by collecting numerous spatially distributed samples of transmitted PAR     2 2 3 Radiation Reflectance    Another method for estimating LAI uses reflected rather than transmitted light  Radiation that has been  reflected from green  healthy ve
    
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