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Decagon Devices, Inc.

Operator’s Manual

Model LP-80

AccuPAR PAR/LAI
Ceptometer

Decagon Devices, Inc.
2365 NE Hopkins Court
Pullman WA 99163

AccuPAR LP-80

Phone: 509-332-5600
Fax: 509-332-5158
Website: www.decagon.com
Email: support@decagon.com or sales@decagon.com
Trademarks
AccuPAR and Ceptometer are registered trademarks of
Decagon Devices, Inc. c 2006-2017

ii

AccuPAR LP-80

Warranty, 2, 68

Viewing Stored Data, 17

78

Tau, 8
Timber
Studies, 53
Time
Setting, 33
Setting with LP-80 Utility, 26

Sample Size, 53
Segment Mode Icon, 34
Seller’s Liability, 2
Set Active Segments, 34
Set Download Options Menu, 31
Set Location, 32
Specifications, 3
Spherical Distribution, 41

Recalibration, 57
References, 69
Repair
Costs, 68
Instructions, 68
Row Crops, 47

Zenith Angle, 41
Defined, 9
PAR
Equation, 49
and Dry Matter Production,
Example Calculation, 50
37
Setting Location of, 32
Definition, 37
for LAI, 37
PAR/LAI Sampling Menu, 12
Partitioning Probe, 34

Overcast Sky Conditions, 42

X (Leaf Distribution Parameter,
Maintenance, 56
43
Measurement
Taking PAR and LAI Sam- X (Leaf Distribution Parameter),
10, 41
ples, 12

INDEX

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2
2

CONTENTS

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7 LP-80 Utility Software
7.1 Downloading Data . . . . . . . .
7.1.1 Data File Formats . . . .
7.1.2 Data Organization . . . .
7.2 Erasing Data . . . . . . . . . . .
7.3 Setting the Date and Time . . .
7.4 Viewing LP-80 Information . . .
7.5 The Preferences Menu . . . . . .
7.5.1 Data File Tab . . . . . . .
7.6 Communications Tab . . . . . . .
7.7 Application Tab . . . . . . . . .
7.8 Software and Firmware Updates

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6 Data Menu
6.1 View . . . . .
6.2 Download . .
6.3 Description of
6.4 Erase . . . . .

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Outputs
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15

5 Log Menu

4 PAR/LAI Menu
12
4.1 Taking Measurements . . . . . . . . . . . . . . . . . . 12
4.2 Saving and Annotating Readings . . . . . . . . . . . . 14

3 Definitions

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2 About the LP-80
2.1 AccuPAR LP-80 Instrument Specifications
2.2 Overview of the LP-80 . . . . . . . . . . .
2.3 Components of the LP-80 System . . . . .
2.4 Turning on the instrument . . . . . . . . .

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1 Introduction
1.1 Customer Support .
1.2 About This Manual
1.3 Warranty . . . . . .
1.4 Seller’s Liability . . .

Contents

AccuPAR LP-80

CONTENTS

AccuPAR LP-80

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9 PAR and LAI Theory
9.1 PAR (Photosynthetically Active Radiation) . . .
9.2 Average and Intercepted PAR . . . . . . . . . . .
9.3 Using PAR to determine Leaf Area Index . . . .
9.4 Applications and Examples . . . . . . . . . . . .
9.5 Extinction Coefficient and Canopy Structure . .
9.5.1 Correction of PAR for Sun Angle . . . . .
LAI measurements & Non-Random Distribution
Zenith Angle and Equation of Time . . . . . . .

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8 Config Menu
30
8.1 Calibration . . . . . . . . . . . . . . . . . . . . . . . . 31
8.1.1 Location . . . . . . . . . . . . . . . . . . . . . . 32
8.1.2 Date and Time . . . . . . . . . . . . . . . . . . 33

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9.6
9.7

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10 Measurement Tips
10.1 Above Canopy (External) Sensor
10.2 Sample Size . . . . . . . . . . . .
10.3 Clumping in Canopies . . . . . .
10.4 LAI Sampling in Row Crops . . .
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58

11 Care and Maintenance
11.1 Batteries . . . . . . . . . . . . . . .
11.2 Cleaning the Probe and Controller
11.3 Recalibration . . . . . . . . . . . .
11.4 General Precautions . . . . . . . .
12 Troubleshooting

14 Further Readings

74

69

13 Support and Repair
67
13.1 Repair Costs . . . . . . . . . . . . . . . . . . . . . . . 68

15 Declaration of Conformity

16 Appendix A
75
16.1 External Sensor Information . . . . . . . . . . . . . . . 75
16.2 Spectral Response . . . . . . . . . . . . . . . . . . . . 75

iv

Index
About Menu, 35
Accessories, 4
Batteries, 56
Replacing, 56
Type, 56
Beam Fraction, 9
Biomass
Production, 48

Calibration, 31, 57
External Sensor, 33
Canopy
Distribution, 43
Canopy Elements
Non-random Distribution, 47
Canopy Structure
Error Reduction, 53
Care, 56
CE Compliance, 74
Chi, 10
Chi Parameter
Setting, 33
Cleaning, 56
Clumping, 48, 54
Minimizing Effects, 48
Conifer Forests, 47
Customer Support, 1, 67

Data Menu, 17
Date
Setting, 33
Setting with LP-80 Utility, 26
Declaration of Conformity, 74
Downloading Data, 18
with LP-80 Utility, 23

Dry Matter Production, 37

Email, 1, 67
Erase Data, 22
Error
in Readings, 38
Measurement, 38, 40
External Sensor, 9
Calibration Constant, 33
Specifications, 75
Extinction Coefficient, 42

Fb , 9
Fax, 1
File
Deleting Files, 22
Download, 18
View, 17
Fraction of Beam Radiation (Fb ),
9
Fractional Interception, 38

Geographical Location
Setting, 32

K (extinction coefficient), 42
Keyboard, 5

LAI
Equation for Calculating, 41
LAI Calculation, 40
Examples, 41
Leaf Angle Distribution, 44
Leaf Distribution
Random, 42
Leaf Distribution Parameter, 10,
13

77

APPENDIX A

AccuPAR LP-80

76

The output of all radiation sensors tends to drift over time as the
detector ages. The long term shift of the sensor is less than 3% per
year. We recommend returning the sensor for recalibration at least
every three years.

16

Introduction

1

INTRODUCTION

Customer Support

About This Manual

1

This manual includes instructions for setting up your AccuPAR LP80, verifying the calibration of the instrument, preparing samples,
and maintaining and caring for your instrument. Please read these

1.2

If contacting us by email or fax, please include as part of your message
your instrument serial number, your name, address, phone number,
fax number, and a description of your problem or question.

Fax:
509-332-5158

Phone:
509-332-5600

Email:
support@decagon.com or sales@decagon.com

Note: If you purchased your AccuPAR LP-80 through a distributor, please contact them for assistance.

If you ever need assistance with your AccuPAR or have any questions
or feedback, there are several ways to contact us. Decagon has Customer Service Representatives available to speak with you Monday
through Friday, between 7am and 5pm Pacific time.

1.1

Welcome to Decagon’s AccuPAR model LP-80 PAR/LAI Ceptometer. The AccuPAR measures Photosynthetically Active Radiation
(PAR) and can invert these readings to give Leaf Area Index (LAI)
for your plant canopy. This manual is designed to help you accomplish your research goals, and understand how to get the most out
of your AccuPAR.

1

AccuPAR LP-80

1 INTRODUCTION

16

Appendix A

AccuPAR LP-80

AccuPAR LP-80

instructions before operating the LP-80 to ensure that the instrument
performs to its full potential.

External Sensor Information

Warranty

Specifications

Spectral Response

Output: 5 µmol m−2 s−1 per mV
Dimensions: 24 mm diameter, 27 mm tall
Cable length: 2 m
Range: 0 to 4000 µmol m−2 s−1 (full sunlight
Warranty: 1 year parts and labor.

16.2

Long-term stability

75

16

APPENDIX A

The cosine error for the Apogee external sensor for typical applications is less than 1%.

Cosine Response

An ideal quantum sensor would give equal emphasis to all photons
between 400 and 700 nm and would exclude photons above and below these wavelengths. Quantum sensors, such as the Apogee, that
approximate the ideal response with filters are accurate to within
±3% for common light sources. The spectral response of the Apogee
sensor is such that it underestimates the 400 to 500 nm wavelengths
(blue light), matches in the 550 to 650 nm wavelengths (yellow and
orange), and has little sensitivity above 650 nm (red light). Fortunately common light sources are mixtures of colors and many spectral
errors offset each other.

2000)

The external quantum sensor provided with the AccuPAR model LP80 is the Apogee SQ110. It is calibrated to provide an output of 5
µmol m−2 s−1 per mV. This sensor offers good accuracy, however you
should be aware of potential sources of error. The biggest error is
often caused by small changes in the position of the sensor. The sensor must be exactly horizontal for the most accurate measurements.

16.1
1.3

Seller’s Liability

The AccuPAR has a one year warranty on parts and labor. Your
warranty is automatically validated upon receipt of the instrument.

1.4
Seller warrants new equipment of its own manufacture against defective workmanship and materials for a period of one year from the
date of receipt of equipment.
Note: We do not consider the results of ordinary wear and tear,
neglect, misuse, accident and excessive deterioration due to corrosion from any cause as defects.
The Seller’s liability for defective parts shall in no event exceed the
furnishing of replacement parts Freight On Board the factory where
originally manufactured. Material and equipment covered hereby
which is not manufactured by Seller shall be covered only by the
warranty of its manufacturer. Seller shall not be liable to Buyer for
loss, damage or injuries to persons (including death), or to property
or things of whatsoever kind (including, but not without limitation,
loss of anticipated profits), occasioned by or arising out of the installation, operation, use, misuse, nonuse, repair, or replacement of said
material and equipment, or out of the use of any method or process
for which the same may be employed. The use of this equipment
constitutes the buyer’s acceptance of the terms set forth in this warranty. There are no understandings, representations, or warranties
of any kind, express, implied, statutory or otherwise (including, but
without limitation, the implied warranties of merchantability and
fitness for a particular purpose), not expressly set forth herein.

2

AccuPAR Linear PAR/LAI Ceptometer

LP-80

2003

Type of Equipment:

Model Number:

Year of First Manufacture:

74

This is to certify that the AccuPAR model LP-80, manufactured by
Decagon Devices, Inc., a corporation based in Pullman, Washington,
USA meets or exceeds the standards for CE compliance as per the
Council Directives noted above. All instruments are built at the
factory at Decagon and pertinent testing documentation is freely
available for verification.

Decagon Devices, Inc 2365 NE
Hopkins Ct. Pullman, WA 99163
USA

Manufacturer’s Name:

EN 50581:2012

EN 61326-1:2013 and

Standards to which conformity is
declared:

AccuPAR LP-80

2004/108/EC and 2011/65/EU

Declaration of Conformity

DECLARATION OF CONFORMITY

Application of Council Directive:

15

15

About the LP-80

2

ABOUT THE LP-80

AccuPAR LP-80 Instrument Specifications

3

Data Retrieval: direct via RS-232

Instrument Weight (w/ Batteries): 0.55 kg (1.21 lbs)

Unattended Logging Interval: User selectable, between 1 and 60
min

Data Storage Capacity: 1 MB Flash

Minimum Spatial Resolution: 1 cm

Resolution: 1 µmol m−2 s−1

PAR Range: 0 to 2,500 µmol m−2 s−1

Micro Controller Dimensions: 15.8 x 9.5 x 3.3 cm (6.2 x 3.75 x 1.3
in)

Probe Cross−Section: 19 x 9.5 mm (.75 x .375 in)

Overall Length: 99 cm (40 in)

Number of Sensors: 80

Probe Length: 84 cm

Operating Environment:
0◦ to 50◦ C (32◦ − 122◦ F)
0 to 100% relative humidity

2.1

The AccuPAR model LP-80 is a menu-driven, battery-operated linear PAR ceptometer, used to measure light interception in plant
canopies, and to calculate Leaf Area Index (LAI). It consists of an
integrated microprocessor-driven data logger and probe. The probe
contains 80 independent sensors, spaced 1 cm apart. The photosensors measure PAR (Photosynthetically Active Radiation) in the 400
to 700 nm waveband. The AccuPAR displays PAR in units of micromols per meter squared per second (µmol m−2 s−1 ). The instrument
is capable of hand-held or unattended measurement.

2

AccuPAR LP-80

2 ABOUT THE LP-80

Keypad: 7-Key menu-driven
Clock: 24-hour ±1 minute per month
Interface Cable: RS-232 cable
Power: Four AAA Alkaline cells.

Overview of the LP-80

AccuPAR LP-80

External PAR Sensor Connector: Locking 5-pin sealed circular connector

2.2
Decagon designed the menu-driven LP-80 interface for ease of use.
There are four menus to choose from: the PAR/LAI menu, Log menu,
Data menu, and Config menu. You navigate between the menus by
pressing the MENU button, and select items within each menu using
the up and down arrow keys, and the ENTER or ESC keys.

Components of the LP-80 System

The AccuPAR can be operated in environments with temperatures
from 0 to 50◦ C, and in relative humidities of up to 100%. The instrument ships with an RS-232 interface cable to allow for downloading
data to a computer, an external PAR sensor to allow for calibration,
and simultaneous above and below canopy PAR measurements. The
AccuPAR operates on four AAA alkaline batteries.

2.3

The AccuPAR and its accessories arrive in a durable foam-padded
carrying case. Your shipment should arrive with the following items.
• AccuPAR model LP-80
• RS-232 Cable
• Operator’s Manual
• External PAR Sensor
• #1 Phillips Screwdriver
• USB Adapter Cable
4

AccuPAR LP-80

63:743-748.

14

FURTHER READINGS

Norman, J. M. and J.M. Welles., (1983). Radiative transfer in an
array of canopies. Agron. J., 75:481-488.

Norman, J. M., S.G. Perry, A.B. Fraser, and W. Mach., (1979). Remote sensing of canopy structure. Proc. 14th Conf. Agric. For.
Meteor., p.184-185, Am. Meteor. Soc., Boston.

Welles, Jon M., and Shabtai Cohen. Canopy Structure measurement
by gap fraction analysis using commercial instrumentation. Journal
of Experimental Botany. 47(302): 1335-1342.

White, J.D., Running, S.W., Nemani, R., Keane, R.E., and K.C.
Ryan. Measurement and remote sensing of LAI in Rocky Mountain
montane ecosystems. Canadian Journal of Forest Research 27: 17141727 (1997)

Wilhelm, W.W., K. Ruhe, and M.R. Schlemmer, (2000). Comparison of Three Leaf Area Index Meters in a Corn Canopy. Crop Science
40:1179-1183.

73

FURTHER READINGS

AccuPAR LP-80

72

Norman, J. M., E.E. Miller, and C.B. Tanner., (1971). Light intensity and sunfleck-size distributions in plant canopies. Agron. J.,

Norman, J.M. and P.G. Jarvis., (1974). Photosynthesis in Sitka
Spruce (Picea sitchensis (Bong.) Carr.) III. Measurements of canopy
structure and interception of radiation. J. Appl. Ecol., 12:839-878.

Norman, J.M., and G.S. Campbell., (1989). Canopy structure. Plant
physiological ecology: Field methods and instrumentation. eds. R.E.
Pearcy, J.R. Ehleringer, H.A. Mooney and P.W. Rundel. London,
Chapman and Hall. pp. 301-325.

Norman, J.M., (1979). Modeling the complete crop canopy. in Modification of the Aerial Environment of Crops (eds B.J. Barfield and
J. Gerber), American Society of Agricultural Engineers, St. Joseph,
MI, pp. 249-77.

Martens, Scott N., S.L. Ustin and R.A. Rousseau., (1993) Estimation of tree canopy leaf area index by gap fraction analysis. Forest
Ecology and Management 61 : 91-108

Maas, S. Cotton canopy structure, light absorption, and growth
in the San Joaquin Valley of California. Proceedings of the 1996
Beltwide Cotton Conferences,(2) 1235-1237.

Levy, P.E. and P.G. Jarvis, (1998). Direct and indirect measurements of LAI in millet and fallow vegetation in HAPEX-Sahel Agric.
For. Meteorol., 97: 199-212.

Lemur, R., (1973). A method for simulating the direct solar radiation regime in sunflower, Jerusalem artichoke, corn and soybean
canopies using actual stand structure data. Agric. Meteorol., 12:
229-47.

Lang, A.R.G., Xiang Yueqin and J.M. Norman, (1985). Crop structure and the penetration of direct sunlight. Agric. For. Meteorol.,
35: 83-101.

14

AccuPAR LP-80

ABOUT THE LP-80

5

Figure 2: LP-80 Keypad

Figure 1: Product Features

2

AccuPAR LP-80

AccuPAR LP-80

2 ABOUT THE LP-80

Biomass and Bioenergy. 17:95-112.

14

FURTHER READINGS

Kiniry, J.R., Radiation-Use Efficiency and Grain Yield of Maize
Competing with Johnsongrass. Agronomy Journal 86(3): 554-556.

Kiniry, J.R. and D.P. Knievel., Response of Maize Seed Number to
Solar Radiation Intercepted Soon after Anthesis. Agronomy Journal
87(2): 228-234

Kiniry, J.R., J.A. Landivar, M. Witt, T.J. Gerik, J. Cavero, and L.J.
Wade, Radiation-use efficiency response to vapor pressure deficit for
maize and sorghum. European Journal of Agronomy Oct. 1995.

The LP-80 keypad is a 7-key panel, designed for ease of use and
intuitive navigability through the operating system. Here is a brief
description of the key functions, refer to Figure 2 for Keypad descriptions.
ON/OFF Key: Located in the upper left corner, it turns the instrument on or off. The AccuPAR turns itself off automatically
after 10 minutes of inactivity.
MENU Key: Cycles between the four menus.
UP and DOWN ARROW KEYS: In PAR Sampling menu,
they initiate above (up arrow) and below (down arrow) canopy
PAR readings. In other menus, they are used to navigate to
items within those menus and to change numeric values in sub
menus.

Kiniry, J.R., (1998) Biomass Accumulation and Radiation use Efficiency of Honey Mesquite and Eastern Red Cedar. Biomass and
Bioenergy Vol.15 No. 6: 467-473.

Lang, A.R.G., (1986). Leaf area and average leaf angle from transmission of direct sunlight. Aust. J. Bot., 34:349-355.

Lang, A.R.G., (1987). Simplified estimate of leaf area index from
transmittance of the sun’s beam. Agric. For. Meteorol., 41: 179-186.

Round Green Key: The circular key in the upper right corner
of the keypad (by the AccuPAR logo) also serves the same
function as the Down-arrow key. It is designed as an ergonomic
alternative when taking multiple below-canopy PAR samples
ESC: Cancels the current PAR reading displayed in the lower half
of the PAR sampling menu, cancels out of menu options, and
navigates to the left in the annotation screen.

Lang, A.R.G., (1991). Application of some of Cauchy’s theorems to
estimation of surface areas of leaves, needles and branches of plants,
and light transmittance. Agric. For. Meteorol., 54: (in press).

Turning on the instrument

71

Lang, A.R.G. and Xiang Yueqin, (1986). Estimation of leaf area
index from transmission of direct sunlight in discontinuous canopies.
Agric. For. Meteorol., 37: 229-43.

Lang, A.R.G., and R.E. McMurtrie., (1991). Total leaf areas of
single trees of Eucalyptus grandis estimated from transmittance of
the sun’s beam. Agric. For. Meteorol., (accepted).

Lang, A.R.G., R.E. McMurtrie, and M.L. Benson., (1991). Validity
of leaf area indices of Pinus radiata forests estimated from transmittances of the sun’s beam. Agric. For. Meteorol., (accepted).

ENTER: Saves the current PAR readings in the PAR sampling
menu, selects items in other menus, and navigates to the right
in the annotation screen.

2.4

When you first turn on the instrument, it opens in the PAR sampling
menu with real-time PAR data displayed in the center portion of the
screen. If you have the external PAR sensor connected, you also see
its real-time PAR data.

6

FURTHER READINGS

AccuPAR LP-80

70

Kiniry, J.R., C.R. Tischler, G.A. Van Esbroeck., (1999). Radiation Use Efficiency and leaf CO2 exchange for diverse C4 Grasses.

Jobidon, Robert., Light Threshold for Optimal Black Spruce (Picea
mariana) Seedling Growth and Development Under Brush Competition. Canadian Journal of Forest Research Vol. 24, No. 8:1629-1635.

Jobidon, Robert., Measurement of Light Transmission in Young Conifer
Plantations: A new Technique for Assessing Herbicide Efficacy. Northern Journal of Applied Forestry 9(3): 112-115.

Hyer, E. and S.J. Goetz, (2004). Comparison and sensitivity analysis
of instruments and radiometric methods for LAI estimation: assessments from a boreal forest site. Agricultural and Forest Meteorology,
122 (3/4): 157-174.

Goudriaan, J., (1988). The bare bones of leaf angle distribution
in radiation models for canopy photosynthesis and energy exchange.
Agricultural and Forest Meteorology, 43:155 - 169.

Goudriaan, J., (1977). Crop Micrometeorology: A Simulation Study,
Center for Agriculture Publication Documentation, Wageningen, The
Netherlands.

Flnet F, J.R. Kiniry, J.E. Board, M.E. Westgate and D.C. Reicosky.,
(1995). Effect of row spacing, time of day, and stage of crop development on light extinction coefficient of corn, sorghum, soybean, and
sunflower. Agronomy Journal.

Cohen, Shabtai, R. Sudhakara Rao and Yehezkel Cohen. Canopy
transmittance inversion using a line quantum probe for a row crop.
Agricultural and Forest Meteorology 86: 225-234.

Cohen, S., Striem, M.J., Bruner, M., and I. Klein. Grapevine Leaf
Area Index Evaluation by Gap Fraction Inversion. Proceedings of
the 3rd Intl. Symposium on Irrigation Hort. Crops, Ferreira and
Jones (eds.) Acta Horticulturae. 537, ISHS 2000 pp. 87-91.

14

2

ABOUT THE LP-80

7

At any time, you can cycle between the four menus by pressing the
MENU key. The menus are indicated by the tabs on the top of the
screen, with the active menu in the foreground. If the battery is low,
a low battery indicator appears to the right of the menu tabs. Later
chapters discuss each menu in detail and how to use the features that
each provides.

Figure 3: PAR Data Return Screenshot

AccuPAR LP-80

Definitions

3 DEFINITIONS

3

AccuPAR LP-80

The AccuPAR LP-80 uses several variables to calculate Leaf Area
Index, and displays values for these variables on the screen as measurements are taken. This chapter discusses these variables and their
definitions. If you are not familiar with them, we recommend that
you review this chapter before proceeding with measurements.
PAR
PAR (photosynthetically active radiation) is the radiation in the 400
to 700 nanometer waveband. It represents the portion of the spectrum which plants use for photosynthesis. Under a plant canopy,
radiation levels can vary from full sun to almost zero over the space
of a few centimeters. Therefore, reliable measurement of PAR requires many samples at different locations under the canopy.
The AccuPAR measures PAR either manually or in unattended logging mode. Intercepted PAR data can be used for determining important parameters of canopy structure and for the calculation of
LAI. An external point sensor may be used to collect instantaneous
above canopy PAR measurements when sampling under or within a
canopy. You also have the option of segmenting the probe to reflect
spatial changes in the plant canopy. This is useful when evaluating
discontinuous and irregular canopies, or to limit the number of active
sensors along the probe.
Tau (τ )
Tau is another variable in the LAI inversion equations. It is defined as the ratio of below canopy PAR measurements to the most
recent above canopy PAR value. It is measured automatically by the
instrument, based upon the PAR readings you make. The current τ
value is displayed and updated in the lower left corner of the screen
in the PAR menu. Chapter 9 provides further explanation of the
significance of Tau.

8

Further Readings

AccuPAR LP-80

14

14

FURTHER READINGS

The following is a list of references that offer more detail concerning
plant canopy characteristics and research.

Anderson, M.C., (1971). Radiation and crop structure. Plant Photosynthetic Production, Manual of Methods (eds. A. Sestak, J. Catsky
and P.G. Jarvis), Junk, The Hague, pp. 412-66.

Andrade, F.H., Calvio, P., Cirilo, A. and P. Barbieri, (2002). Yield
Responses to Narrow Rows Depend on Increased Radiation Interception. Agronomy Journal, 94:975-980.

Bonhomme, R., Varlet-Grancher, C. and Chartier, P., (1974). The
use of hemispherical photographs for determining the leaf area index
of young crops. Photosynthetica, 8 (3), pp. 299-301.

Campbell, G.S., (1977). An Introduction to Environmental Physics,
Springer-Verlag New York Inc., New York, pp. 159.

Campbell, G.S., (1986). Extinction coefficients for radiation in plant
canopies calculated using an ellipsoidal inclination angle distribution.
Agric. For. Meteorol., 36: 317-21.

Campbell, G.S., and J.M Norman., (1988). The description and
measurement of plant canopy structure. in Plant Canopies: Their
Growth, Form and Function (ed. G. Russell), Society for Experimental Biology, Seminar Series 29, Cambridge University Press, New
York.

Chen, H.Y.H., (1997). Interspecific responses of planted seedlings
to light availability in interior British Columbia: survival, growth,
allometric patterns, and specific leaf area. Canadian Journal of Forest Research 27: 1383-1393.

Chen, Jing M. and Cihlar, Josef. Plant Canopy gap-size theory for
improving optical measurements of leaf-area index. Applied Optics
34(27): 6211-6222.

69

AccuPAR LP-80

68

Manufacturer defects and instruments within the one-year warranty
will be repaired at no charge. Non-warranty repair charges for parts,
labor and shipping will be billed to you. An extra fee may be charged
for rush work. Decagon will provide an estimated repair cost, if
requested.

Repair Costs

Ship to:
Decagon Devices Inc.
ATTN: RMA (insert your RMA #)
2365 NE Hopkins Court
Pullman, WA 99163

7. Include the RMA number in the attention line on the shipping
label.

6. Tape the box in both directions for added support.

SUPPORT AND REPAIR

13.1

13

3 DEFINITIONS

9

Fraction of Beam Radiation (Fb )

Zenith angle can be defined as the angle the sun makes with respect
to the zenith, or the point in the sky directly overhead, vertical to
where you stand. The zenith is defined as being 0◦ and the horizon
is 90◦ . The zenith angle of the sun is necessary for calculation of
certain canopy structure parameters, such as LAI. It is calculated by
the AccuPAR based on your global position and the time of day, and
is displayed in the lower right corner of the screen when taking above
and below PAR measurements. To make sure this value is accurate,
you must first correctly set the longitude, latitude, date, and time of
day in the setup menu.

Zenith Angle (z)

An external PAR sensor is provided with the AccuPAR to allow
you to make simultaneous above and below canopy PAR measurements. This is useful if you want to be able to make multiple PAR
measurements under the canopy in variable light conditions without
having to keep moving the instrument in and out of the canopy to
update the above canopy PAR reference. The external sensor is also
the PAR standard to which the wand is calibrated.

External Sensor

LAI (Leaf Area Index) is defined as the area of leaves per unit area
of soil surface. It is a valuable measurement in helping to assess
canopy density and biomass. The AccuPAR calculates LAI based on
the above and below-canopy PAR measurements along with other
variables that relate to the canopy architecture and position of the
sun. These variables are the zenith angle, a fractional beam measurement value, and a leaf area distribution parameter (also known as χ)
for your particular canopy. The AccuPAR automatically calculates
both the zenith angle and fractional beam reading, and requires you
to input a value for χ in the setup menu.

LAI(L)

AccuPAR LP-80

3 DEFINITIONS

AccuPAR LP-80

Fractional beam radiation is the ratio of direct beam radiation coming from the sun to radiation coming from all ambient sources like the
atmosphere or reflected from other surfaces. A fractional beam radiation value is necessary for calculation of LAI using PAR data. The
AccuPAR obtains this value by comparing the above canopy PAR
measurement to the calculated value of potential incoming solar radiation at your location and zenith angle. The current calculated Fb is
displayed and updated at the bottom of the screen in the PAR menu.
Leaf Distribution Parameter (χ)
Leaf Distribution Parameter (also known as chi, or χ) refers to the
distribution of leaf angles within a canopy. The parameter χ is the
ratio of the length of the horizontal to the vertical axis of the spheroid
described by the leaf angle distribution of a canopy. It can also be
measured as the ratio of the projected area of an average canopy
element (a leaf, for example) on a horizontal plane to its projection
on a vertical plane. The default value for χ is 1.0, which assumes the
canopy angle distribution to be spherical. Onions are a good example of a strongly vertical crop. For onions, χ would be about 0.7. On
the other extreme, strawberries, a crop with a strongly horizontal
nature, would have a χ value of about 3.
Table 1 gives some typical values for χ. In some cases a range of
values is given, indicating the variability that is to be expected for
χ in any canopy. Fortunately, the value of LAI computed is not
strongly dependent on the value of χ chosen. The AccuPAR uses a
value of χ=1.0 as its default.

10

Support and Repair

AccuPAR LP-80

13

13

SUPPORT AND REPAIR

Note: If you purchased your LP-80 from one of our international
distributors, please contact them. They will be able to provide you
with local support and service.

When encountering problems with your LP-80 (that you unable to
resolve with the help of this manual), please contact Decagon Customer Support at support@decagon.com, 509-332-5600 or fax us at
509-332-5158. Please have the serial number and model of the instrument ready.

All products returning to Decagon for servicing must be accompanied with a Return Material Authorization (RMA) number. Prior to
shipping the instrument, please contact a Decagon customer support
representative to obtain an RMA.
Shipping Directions

The following steps will help to ensure the safe shipping and processing of your AccuPAR LP-80.

1. Ship your LP-80 in its original cardboard box with suspension
packaging. If this is not possible, use a box that has at least
four inches of space between your instrument and each wall of
the box.

2. Place the LP-80 in a plastic bag to avoid disfiguring marks
from the packaging.

3. Do not ship the power cord or serial cable.

4. If the original packaging is not available, pack the box moderately tight with packing material (e.g. styrofoam peanuts
or bubble wrap), ensuring the instrument is suspended in the
packing material.

5. On the RMA form, please verify the ship to and bill to information, contact name, and problem description. If anything is
incorrect please contact a Decagon representative.

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TROUBLESHOOTING

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66

A noisy serial connection can disrupt the connection between the
Utility and the LP80. If this error happens regularly, you can try
setting your baud rate lower or increasing the number of times a
command is sent to the LP80. Choose the “Communications” tab in
Preferences to alter this.

12

Crop
Ryegrass
Maize
Rye
Wheat
Barley
Timothy
Sorghum
Lucerne
Hybrid Swede
Sugar Beet

11

χ
1.92 to 2.13
2.17
1.29 to 2.22
1.70 to 2.47
1.81 to 2.17
1.81 to 2.31
2.47 to 3.26
3.03
2.16

3 DEFINITIONS

Crop
Rape
Cucumber
Tobacco
Potato
Horse Bean
Sunflower
White Clover
Strawberry
Jerusalem Artichoke

Table 1: Typical χ Values
χ
0.67 to 2.47
0.76 to 2.52
0.80 to 1.27
0.96
1.20
1.13
1.43
1.54
1.29 to 1.81
1.46 to 1.88

AccuPAR LP-80

PAR/LAI Menu

4 PAR/LAI MENU

4

AccuPAR LP-80

The first menu option is the PAR/LAI sampling menu, which is used
for measurements with the AccuPAR. The default screen is similar
to the PAR screen.

Taking Measurements

This PAR screen indicates that the current real-time PAR level is
2 µmols/m2 s (this example was taken indoors) and that the user
did not take any above or below PAR measurements. If the external
sensor is attached, the real-time PAR value measured by the external
sensor also display above the real-time light bar PAR data.

4.1

To make an above-canopy PAR measurement, press the up-arrow
key in this menu. The resulting value displays in the upper right
section of the screen. To make measurements below the canopy,
press the down-arrow key or the green circular key in the upper
right corner of the keypad. You must plug in a external sensor or
take an above canopy PAR reading first before the summary data
can update. The LP-80 recalculates summary data after each below
canopy PAR reading. Other relevant data displays at the bottom of
the screen.

12

AccuPAR LP-80

12

TROUBLESHOOTING

data. To make this message go away, save a summary record on the
PAR or Log menu by pressing ENTER.

14. PROBLEM:
Message on screen displays the following:

SOLUTION:

If you are trying to change a country or city location and you have
custom configured the longitude, latitude or UTC offset, this message will appear. If you continue it will reset the location information
to the default settings for that city. If you press ESC, your custom
location settings will be preserved.

15. PROBLEM:
The LP80 Utility tells me the communication port I want to use is
not available for selection.
SOLUTION:

Disconnect any other applications that may be using the desired
communications port. Additionally, some PDA synchronization software monitors serial communication ports. Disable Microsoft’s ActiveSync or Palm’s HotSync system software while using the serial
port with the LP80 Utility.

16. PROBLEM:
Downloading data stops in the middle with an error message saying
the Utility lost connection with the LP80.
SOLUTION:

65

TROUBLESHOOTING

AccuPAR LP-80

64

The view menu only allows you to view summary records. If you
have not saved any records or if you only have saved above and below
records, this message will appear when trying to view or download

SOLUTION:

13. PROBLEM:
Message on screen displays the following:

This message indicates that the data memory is full. You may
continue to view the real-time PAR values, configuration settings,
and previously stored data while the memory is full. No more data
records can be saved until the data records stored in memory are
downloaded to the computer and erased from the LP-80.

SOLUTION:

12. PROBLEM:
Message on screen displays the following:

on the PAR screen, a message similar to this will appear in the Log
menu. Press ENTER to stop the currently running mode or press
MENU to proceed to the next menu without changing the mode.

12

4 PAR/LAI MENU

13

Note: When you connect the external sensor, the LP-80 uses readings from the external sensor as above PAR readings to calculate LAI.
Summary data on the bottom of the screen are recalculated using the
last above canopy reading with each subsequent below canopy reading.

With each above or below canopy measurement, a number appears
to the right of the PAR value that indicates the number of completed
measurements. The displayed PAR value reflects the sample average.
The LP-80 made four above and three below canopy measurements in
the previous PAR screen shot. Therefore, in the above sample screen,
four above and three below canopy measurements have been made,
so the average of the four above-canopy PAR values is 211 µmols,
while the average of the three below-canopy values is 20 µmols.

Pressing ENTER brings up the Save screen which allows you to save
as is, annotate, or discard. Pressing ESC discards the values. Both
options clear the screen for new data. The values displayed at the
bottom of the screen are dependent on how you have set up your
instrument in the Setup menu. Please refer to chapter 3 Definitions
or chapter 8 Theory for a more detailed description of these variables
and their definitions.

LP-80 updates and displays the current calculated Tau (τ ), LAI
value, beam fraction (Fb ), leaf distribution parameter (χ) and zenith
angle (z) values are updated and displayed at the bottom of the
screen with each subsequent below canopy PAR measurement. If
the external sensor is attached and you press an up or down arrow,
the LP-80 records both above and below canopy readings.

AccuPAR LP-80

Saving and Annotating Readings

4 PAR/LAI MENU

4.2

AccuPAR LP-80

To save a reading once you are done taking above and below PAR
data, press ENTER. The Save Method screen appears.

You have three options at the Save Method screen.
1. Select “Save” and press ENTER to save your information.
Data stores with the time and date you take the measurement.
2. Select “Discard” and press ENTER to return to the main screen
and start over with a new reading.
3. Select “Annotate” and press ENTER to give your data a file
name or description, e.g. “Plot 1.” Selecting “Annotate”
causes the Annotate screen to appear.

The Annotate screen has a series of lines with a set of arrows above
and below the first. If you have annotated a previous reading, the
old annotation will remain to be changed or deleted. Use the arrow
keys to select a letter or number and press ENTER to move to the
next character. When you finish, keep pressing ENTER until the
screen returns to the PAR menu.

14

AccuPAR LP-80

12

TROUBLESHOOTING

Figure 12: May also say “reading”

10. PROBLEM:
Message on screen displays the following:

SOLUTION:

Anytime a reading or logging mode is activated (indicated by a busy
icon in the upper left hand corner of the PAR or Log menu), configuration settings are locked to prevent inconsistent data from being
saved. To change settings, navigate to the PAR or Log menu and
escape out of the active reading. Once the new settings are changed,
you can then begin a new reading.

11. PROBLEM:
Message on screen displays the following:

Figure 13: May also happen on the log menu
SOLUTION:

Only one mode may be running at a time. If you are logging, this
message will appear on the PAR screen. If you are taking a reading

63

TROUBLESHOOTING

AccuPAR LP-80

62

This screen means that your firmware was not loaded properly, and
that an update is needed. (The firmware for the LP80 is userupgradeable.) To obtain this, visit Decagon’s website to see if new
updates are available; if not, contact Decagon for the newest firmware
version. Note: You will lose any saved data records when you install
the new firmware. Therefore, download any data you wish to save
before re-loading the new firmware. If this is not an option, contact
Decagon for further help. To obtain new firmware for your LP80, see
the section on “Check for Firmware Updates” in Chapter 4 for more
information.

SOLUTION:

9. PROBLEM:
Message on screen displays the following:

The instrument cannot download new firmware updates. To download new firmware to the LP-80, or to stop this message from displaying, the instrument must be serviced by Decagon.

SOLUTION:

12

Log Menu

5 LOG MENU

15

The LP-80 stores data taken in this mode automatically without annotation to memory.

You can select the measurement interval by pressing the up or down
arrows. This will allow you to select any value between 1 and 60
minutes. In the previous Log screen shot, the LP-80 is set to make
and store a measurement every one minute. To activate the logging
mode, press the ENTER button. To cancel the logging mode press
Escape. When you enable the logging mode, the screen will begin to
return data.

Note: LAI and Tau are calculated more accurately by manually sampling PAR beneath a canopy at random locations, instead of leaving
the LP-80 in one place and collecting data in log mode.

The Log menu allows you to put the instrument in an unattended
PAR data logging mode. In this mode, the AccuPAR will automatically measure and store PAR data at an interval that you specify.

When you advance to the LOG menu, the Log screen appears.

5

AccuPAR LP-80

5 LOG MENU

AccuPAR LP-80

Note: You can move from this menu to other menus while the logging
mode is activated. While activated, the LP-80 continues to log data
whether or not the AccuPAR display is on or if you are in a different
menu.
Caution: This mode is for short-term experiments (one or
two days). We did not design the LP-80 to be left in the
field for long periods of time as damage from moisture may
occur.

16

AccuPAR LP-80

SOLUTION:

12

TROUBLESHOOTING

After changing the batteries or loading new firmware onto an instrument, this message may appear. Navigate to the configuration
menu and verify that the date and time are set properly.

7. PROBLEM:
Message on screen displays the following:

SOLUTION:

This screen will only be displayed when you try to erase the data
memory when the batteries are critically low. Replace the batteries and then press ENTER when powered back on to exit this screen.

8. PROBLEM:
Message on screen displays the following:

61

TROUBLESHOOTING

AccuPAR LP-80

60

6. PROBLEM:
Message on screen displays the following:

The batteries in the instrument may not be properly inserted in
the battery holder or they may need to be replaced. If the batteries
are not inserted properly, reseat the batteries into the battery holder
and cycle the power on the instrument.

SOLUTION:

5. PROBLEM:
Message on screen displays the following:

Zenith angle should now be 0 to 90 degrees, as expected for daylight
hours, and LAI and Fb should now be calculated correctly.

2. You have the proper sign in your latitude and longitude positions. Positive is East and negative West for longitude, and
positive is North and negative South for latitude.

1. Time is set in 24 hour format.

Check your zenith angle (Z). If Z is greater than 90 degrees, the
time or latitude/longitude are most likely set incorrectly. Return to
the set date/time menu and double check that:

12

Data Menu

6 DATA MENU

View

17

You can scroll between different readings using the up and down arrows. To view detailed data from a selected record, press the ENTER
key while highlighting the record. The LP-80 displays the stored
data.

When you select “View” from the Data menu, the View screen shows
a list of all the summary readings saved to memory.

6.1

You can view summary records and their relevant data, download
the data to your computer terminal for analysis, or erase the data
memory from the Data screen. To select one of the options in this
menu, scroll to the desired item and press the ENTER key.

The Data menu allows you to view, download, and erase the data
that you store with your AccuPAR. When you advance to this menu,
the Data screen appears.

6

AccuPAR LP-80

Download

6 DATA MENU

6.2

AccuPAR LP-80

The download option allows you to download stored data to your
computer via the RS232 or USB cable that came with your system.
You can download the data using the LP-80 Utility (free software
included with your system), Windows Hyperterminal or any similar
terminal software. See Chapter 7 for more information on using the
LP-80 Utility software program.
If you are unable to use the LP-80 Utility, you can use terminal software to transfer the data from your LP-80 to your computer. The
following steps should apply to most terminal software programs.
Downloading using Windows Hyperterminal
Follow steps 1 through 9 for instructions on downloading with Windows Hyperterminal, which comes with Windows XP and earlier
Windows operating systems. (You will need to use a third party terminal program for newer operating systems such as Windows Vista
and Windows 7.)
1. Open Windows Hyperterminal from the Start menu, select
Programs > Accessories > Communications > Hyperterminal.
Click on the Hypertrm.exe icon.
2. At the dialog box prompt, select a name for the new connection,
and an icon (if desired).
3. At the “Connect To” dialog box, select an available COM port
at the bottom of the screen in the “Connect Using” box.

18

AccuPAR LP-80

SOLUTION:

12

TROUBLESHOOTING

Make sure that the batteries are inserted correctly, and/or if they
have enough power to activate the machine.
2. PROBLEM:
The display is difficult to see.
SOLUTION:

Turn off the LP-80 and then turn it on again. If this does not fix
the problem, the LP-80 features a built-in screen for changing screen
contrast. See “Contrast” in Chapter 7 for details. You may be able
to fix the contrast manually, which can be done using a terminal port
program. Contact Decagon for information regarding this procedure.

3. PROBLEM:
Message on screen displays the following:

SOLUTION:

The external sensor must be reading a PAR value of 600µmol/m2 s
in order to calibrate. Make sure that the external is attached and is
in full view of the Sun. If the day is overcast, wait to calibration the
sensor on a sunny day when PAR levels are above 600µmol/m2 s.

4. PROBLEM:
Your LAI output is 0 even though there is a valid above and below
canopy PAR reading.
SOLUTION:

59

Troubleshooting

TROUBLESHOOTING

AccuPAR LP-80

1. PROBLEM:
Instrument does not turn on.

58

If this problem occurs:
Instrument does not turn on
Display is difficult to see
I get an error message when I try to calibrate
Your LAI output is 0...
Low battery message
Date and time were reset message
Data erase failed message
Missing bootstrap loader message
Firmware corrupted message
Cannot change settings message
Only one mode can be run at a time message
Memory full message
No summary data message
By continuing you will lose custom info msg.
Communication port is already in use
Download data to the Utility failed

Table 5: Troubleshooting Quick Guide
Refer to:
Problem #1
Problem #2
Problem #3
Problem #4
Problem #5
Problem #6
Problem #7
Problem #8
Problem #9
Problem #10
Problem #11
Problem #12
Problem #13
Problem #14
Problem #15
Problem #16

Note: If you purchased your Decagon instrument from one of our
international distributors, please contact them for local service and
support.

The AccuPAR LP-80 is a high performance, low maintenance instrument, designed to have few problems if used with care. Unfortunately, sometimes even the best operators using the best instruments
encounter technical difficulties. Below is quick reference guide that
will direct you to detailed solutions of some problems that may occur. If these remedies still does not resolve your problem, then please
contact Decagon for help (see Customer Support in Chapter 1). Here
is a list of some problems that may occur.

12

12

6 DATA MENU

19

8. To finish capturing the text, click on the Transfer menu again

7. Select Download from the AccuPAR File menu. The list of
current files will appear as in the View menu. Use the up and
down arrows to select the file you wish to download, then press
the ENTER key to send the data to your computer. The data
will appear on the screen.

6. To set up the terminal program to capture the data, click on the
Transfer menu and select “Capture Text.” Select the directory
where you want to place the data text file and then click Start.

5. Once the terminal window opens, click on the File menu and
select Properties. Click on the Settings tab, and then click on
the “ASCII Setup” button. Check the box that says “Append
line feeds to incoming line ends,” and the “Wrap lines that
exceed terminal width,” and then click OK.

Figure 4: Communication Properties Dialog Box

4. In the Communication Properties Dialog box, select these: 9600
bits per second, 8 data bits, no parity, 1 stop bit, and no flow
control.(Figure: 4)

AccuPAR LP-80

6 DATA MENU

AccuPAR LP-80

and select “Capture Text > Stop.” Before closing Hyperterminal, save the session with a name you will be able to recognize.
The next time you need to download, you will just need to open
the Hyperterminal folder and select the name you saved.
9. You may now open the text file in a word processing program
or a spreadsheet program like Microsoft Excel.
The AccuPAR data output will emerge as a series of numbers, similar
to the following numbers. Please refer to Section 6.3 for a detailed
breakdown of the return items.

Description of Outputs

1757,ABV,321969922,3.20,2.00,1.60,1.20,1.10,1.20,0.90,
0.70,0.00
1758,BLW,321969937,41.80,58.00,98.70,159.10,325.30,
477.90,669.10,750.30,0.00
1759,SUM,321969941,1.50,322.50,1.000,0.00,1.00,0.02,50,
1757,47,-117,SAMPLE3

6.3

RID (1757): The Record ID is a unique identifier for each record.
RID are store sequentially in memory and can be used or downloading data.
Type (ABV): “ABV” or “BLW” – which is used to identify the
data record type.
Time (321969922): Time in Decaseconds. This is the number of
seconds since the epoch date of Jan 1, 2000 00:00:00 To convert
this into excel time use the following formula:
Decaseconds = Excel Time
or 321969941 = DATEVALUE(“1/1/2000”)+A2/86400
Note: Make sure to convert cell B2 to a Data/Time format
Individual PAR readings (3.20...0.70): One from each of the
eight segments. Note: Segment 1 is closest to the controller
Segment 8 is closest to the tip of the light bar.

20

Recalibration

AccuPAR LP-80

11.3

11

General Precautions

CARE AND MAINTENANCE

The AccuPAR calibrates its sensors against the external sensor supplied with the instrument. Therefore, provided your external sensor
calibration is good, you simply recalibrate the AccuPAR in the Config menu (see chapter 9) as often as you wish. However, as is the
case with all electronic components, shifts in the external sensor sensitivity will occur over time. As a result, we recommend that you
periodically send your external sensor in to Decagon’s factory for recalibration, depending on how often you use it. If you use it heavily
each year, we suggest once a year. For periodic measurements, one
recalibration every two to three years should be adequate. Before
sending the instrument in, contact Decagon via phone or email so we
can prepare for its arrival.

11.4

The AccuPAR is a low maintenance instrument. There are only a
few suggestions to keep in mind.
Cautions

Keep the probe clean. The accuracy of readings may decline if there is any debris on the probe which prevents
light from entering the sensors.

Although the AccuPAR is splash-resistant, do not immerse
the instrument in water, or leave the it in contact with rain
for long periods of time.

When transporting the AccuPAR, keep the instrument in
its padded hard-sided carrying case to prevent damage.

57

Batteries

11.1

AccuPAR LP-80

Cleaning the Probe and Controller

56

To clean the controller, use a soft cloth and water to wash heavy
dirt, then use ethyl or isopropyl alcohol to finish cleaning. Make
sure to only use a soft cloth when cleaning the LCD window. Tissues made from wood fiber will scratch the surface.

The white probe diffuser should always be clean to ensure accurate
readings. To clean the probe, use a small amount of isopropyl alcohol
and a soft cloth. Rub the surface until it is clean.

11.2

Note: Data will not be lost when the batteries are replaced. The
memory and program sections of the AccuPAR are non-volatile.

If the alkaline batteries require replacement, remove the four screws
on the bottom of the AccuPAR case and lift the cover carefully. The
batteries are located on both sides of the circuit board. Be sure
to orient them properly; placing them the wrong way in the battery
holder can damage the AccuPAR. The battery holders indicate which
direction they should be placed. After replacing the batteries, press
the reset button at the top left corner of the board.

Replacing Batteries

The AccuPAR uses four standard 1.5 V AAA alkaline batteries.
These batteries are easily obtained and should last for at least two
years before they have discharged. If a battery icon appears in the
upper right corner of the screen (to the left of the time) or a low
battery message is displayed, you will need to change your batteries.

Care and Maintenance

CARE AND MAINTENANCE

11

11

6 DATA MENU

21

RawRID (1757): RawRID is the RID of the first raw record associated with the summary record. Any record between the

Zenith Angle (50): The zenith angle is the angle in degrees the
sun makes with respect to the zenith (point in sky directly
overhead).

Fb (0.02): The Beam Fraction is the ratio of direct beam radiation coming directly from the sun to radiation coming from all
ambient sources.

Chi(χ) (1.00): The leaf distribution parameter Chi or χ is the ratio
of projected area of an average canopy element on a horizontal
plane to its projection on a vertical plane.

LAI (0.00): Leaf Area Index (LAI) is the area of leaves per unit
area of soil science.

Tau (τ ) (1.000): Tau is the ratio of below canopy PAR measurements.

MeanBlw (322.50): The average of all the below canopy PAR readings for the raw records associated with the summary record.

MeanAbv (1.50): The average of all the above canopy PAR readings for the raw records associated with the summary record.

Note: Make sure to convert cell B2 to a Data/Time format

Decaseconds=Excel Time
or 321969941+=DATEVALUE(“1/1/2000”)+A2/86400

Time (321969941): Time in Decaseconds. This is the number of
seconds since the epoch date of Jan 1, 2000 00:00:00 To convert
this into excel time use the following formula:

Type (SUM): “SUM” – which is used to identify the data record
type.

RID (1759): The Record ID is a unique identifier for each record.
RID store sequentially in memory and can be used for keeping
track of downloaded data.

External Sensor (0.00): PAR reading from the External Sensor

AccuPAR LP-80

6 DATA MENU

AccuPAR LP-80

RawRID and the RID of the summary record is also associated
with the summary record.
Latitude (47): Latitude location in degrees.
Longitude (−117): Longitude location in degrees.

Erase

Annotation (SAMPLE3): The annotation is a string used to identify a record in a user readable format.

6.4
To erase all data, select “Erase” from the Data menu and press the
ENTER button. To escape, press the ESC button. If you proceed,
you will see the words “Please Wait” while the instrument deletes
the files. This may take a few seconds to complete.

22

AccuPAR LP-80

10

MEASUREMENT TIPS

Figure 10: Scenario 1: The two ends of the AccuPAR probe are in
the middle of each row, getting a good representative sample of the
entire area below and between rows.

Figure 11: Scenario 2: The base of the probe is in the center of the
row, while the end is in the center of the open space between rows.
When sampling the next row, the same orientation is maintained,
giving an accurate representation of the overall area.

55

AccuPAR LP-80

LAI Sampling in Row Crops

54

One of the common uses for the AccuPAR is measuring the leaf area
index of row crops. When doing so, it is important to take measurements in such a way as to give a good row-to-row representation
of the entire below-canopy PAR environment both under the plants
and between rows. We suggest a sampling regime such as shown
below, where the probe either extends from mid-row to mid-row, or
extends from mid-row to the middle of the open space between rows,
depending on row width and canopy size.

10.4

When evaluating discontinuous canopies or canopies with definite
clumping, the AccuPAR can be configured such that its active sampling area is reduced, or you can download the data collected by the
AccuPAR probe segments. In this way you can gather information
that better describes the changes in canopy structure with regard to
location. To reduce the sampling size of the probe, refer to the “Set
Active Segments” option in the setup menu (see chapter 7). To see
the individual PAR readings for each of the eight probe segments,
download the stored data to the computer (See Download section in
Chapter 6).

Clumping in Canopies

MEASUREMENT TIPS

10.3

10

LP-80 Utility Software

7 LP-80 UTILITY SOFTWARE

Downloading Data

Data File Formats

23

Excel (.xls): Saves the file as a workbook that can be directly
opened using Microsoft Excel 97 or newer.

Data files are saved in one of the following file formats:

7.1.1

9. When the download is finished, you will be prompted to optionally erase the data on the LP-80.

8. A progress bar will appear on the main screen.

7. Name your file, and choose a format to save it in, and click
Save. (For more information, see Data File Formats.)

6. The “Save LP-80 Data” dialog box will appear.

5. Click the “Download” button in the lower left of the screen, or
click File > Download Data.

4. Turn on your LP-80 by pressing the power button.

3. Select the appropriate COM port from the drop-down menu on
the main screen.

2. Open the LP-80 Utility Program.

1. Make sure the RS-232 serial cable is properly connected to your
LP-80, and to a serial port on your computer, or to a USB-toserial adapter.

Follow steps 1 through 9 to download data.

7.1

The AccuPar LP-80 comes with the LP-80 Utility software on a USB
key that allows you to download stored data to your computer via
the RS-232 cable that came with your system.

7

AccuPAR LP-80

7 LP-80 UTILITY SOFTWARE

AccuPAR LP-80

Note: The Excel format includes column headers by default. These
are titles at the top of each column. These can be disabled by using
the Preferences Menu.
Tab Delimited Text (.txt): Saves the file in tab delimited format, where all values are separated with tabs.

Data Organization

CSV (Comma Delimited) (.csv): Saves the file in comma delimited format, where all values are separated with commas.
7.1.2
Data from the LP-80 saves in several columns.
1. Record Type–The data record type (SUM, ABV, or BLW).
2. Date and Time Measurement–Date and time you take reading.
3. Annotation–The annotation is a string that a user may use to
identify the reading.
4. Average Above PAR–The average of all the above canopy PAR
readings for the raw records associated with the summary record.
5. Average Below PAR–The average of all the below canopy PAR
readings for the raw records associated with the summary record.
6. Tau (τ )–Tau is the ratio of below canopy PAR measurements
(MeanBlw) to the above canopy PAR measurements (MeanAbv).
7. Leaf Area Index (LAI)–LAI or Leaf Area Index is defined as
the area of leaves per unit area of soil surface.
8. Leaf Distribution (χ)–The leaf distribution parameter Chi is
the ratio of projected area of an average canopy element on a
horizontal plane to its projection on a vertical plane.
9. Beam Fraction (Fb)–The Beam Fraction is the ratio of direct
beam radiation coming directly from the sun to radiation coming from all ambient sources.

24

MEASUREMENT TIPS

Measurement Tips

10

10

Above Canopy (External) Sensor

AccuPAR LP-80

10.1

The AccuPAR is supplied with an external PAR sensor which connects to the port on the right side of the AccuPAR. The external
sensor allows you to take simultaneous above and below canopy PAR
readings without having to move the instrument above and below the
canopy you are measuring.

For above-canopy PAR data collection, consider connecting the external point sensor to the AccuPAR. This ensures an accurate measurement of intercepted PAR, especially on days where radiation levels vary rapidly. You can mount the sensor on a tripod and level it
with a bubble level.

When it is not feasible to use an external point sensor to obtain
above-canopy measurements, such as in timber or tropical crops, you
have two choices:

1. Use a separate data logger with an attached PAR sensor such as
a point quantum sensor, or configure another AccuPAR to log
in the unattended mode (one reading per minute, for example)
in a clearing outside the canopy. After collecting PAR data
within the canopy, you can correlate the data from the two
instruments after downloading it from each to a computer.

Sample Size

2. You can use your AccuPAR as an above-canopy reference by
regularly collecting above-canopy PAR data in a large clearing
within the canopy structure.

10.2

When evaluating experimental protocols for measuring average intercepted PAR and determining average LAI for a large area, make
sure that a sufficient number of samples and sampling locations are
used. This will reduce errors caused by canopy structure variations.

53

AccuPAR LP-80

Table 4 – Continued from previous page
Date
Day of Year D in Radians ET Hour
Aug 18
230
0.233
−0.065
Aug 28
240
0.174
−0.022
Sep 7
250
0.111
0.031
Sep 17
260
0.045
0.089
Sep 27
270
−0.023
0.147
Oct 7
280
−0.091
0.201
Oct 17
290
−0.157
0.243
Oct 27
300
−0.219
0.268
Nov 6
310
−0.275
0.243
Nov 16
320
−0.324
0.255
Nov 26
330
−0.363
0.213
Dec 6
340
−0.391
0.151
Dec 16
350
−0.406
0.075
Dec 26
360
−0.408
−0.007

PAR AND LAI THEORY

52

The AccuPAR automatically determines zenith angle using the above
equation and parameters. However, to get the accurate zenith angle
for your location, you need to enter the site latitude, longitude and
universal time offset in the Setup menu. Once these values are entered, the AccuPAR determines zenith angle without further input.
The zenith of the sun angle will then be calculated and stored at the
end of each data set.

Automatic Calculation of Zenith Angle

9

7 LP-80 UTILITY SOFTWARE

Erasing Data

25

4. If you click OK, a progress bar will appear on the main screen,
indicating that data is being erased. “Done erasing data stored
in LP-80” will be displayed when all data has been removed
from your LP-80.

3. You will be asked if you wish to continue. Click OK to do so,
or Cancel to return to the Main screen.

2. Click the Erase button in the lower left of the screen, or go
to File > Erase Data. (If you encounter an error message after clicking the Erase button, please see the Troubleshooting
section.)

1. Make sure the LP-80 is properly connected to your computer.

Caution: Once data has been erased, it cannot be recovered.

You can use the LP-80 Utility to erase the data stored on your LP-80.

7.2

16. Raw Record ID–RawRID is the RID of the first raw record
associated with the summary record. Any record between the
RawRID and the RID of the summary record is also associated
with the summary record.

15. Record ID–The Record ID is a unique identifier for each record.

14. External Sensor PAR–PAR reading from the External Sensor.

13. Segment 1-8 PAR–Individual PAR readings from each of the 8
segments.

12. Longitude–Longitude location in degrees.

11. Latitude–Latitude location in degrees.

10. Zenith Angle–The zenith angle is the angle the sun makes with
respect to the zenith (point in sky directly overhead).

AccuPAR LP-80

Setting the Date and Time

7 LP-80 UTILITY SOFTWARE

7.3

Viewing LP-80 Information

AccuPAR LP-80

You can use the LP-80 Utility to easily set your device date and
time. Make sure you properly connect the LP-80 to your computer.
Then choose “Set LP-80 Date/Time” from the Actions menu. (If you
encounter an error message after click the Download button, please
see Troubleshooting.) By default, the LP-80 Utility automatically
sets the date and time on your LP-80 each time you connect. You
can turn the feature off by using the Application tab under The
Preferences Menu.

7.4
Use the Utility to view information about your LP-80 by choosing
“Actions > View Informati...”

This screen will display the following information:
• LP-80 serial number
• Firmware version (the software that runs your LP-80)
• Firmware checksum status
• Battery level
• Number of stored readings
26

AccuPAR LP-80

9

PAR AND LAI THEORY

D in Radians ET Hour
−0.403
−0.057
−0.386
−0.123
−0.355
−0.182
−0.312
−0.222
−0.261
−0.238
−0.202
−0.232
−0.138
−0.208
−0.071
−0.117
−0.002
−0.122
0.067
−0.072
0.133
−0.024
0.196
0.017
0.253
0.046
0.304
0.060
0.346
0.059
0.378
0.043
0.399
0.015
0.409
−0.019
0.406
−0.055
0.392
−0.085
0.366
−0.103
0.331
−0.107
0.286
−0.097
Continued on next page

(35)

June 30 is J = 181.
Pullman latitude is 46.77◦ , or 0.816 radians, and longitude is 117.2◦ .
The standard meridian for Pullman is 120◦ . The local meridian is
2.8◦ east of the standard meridian, so LC = 2.8/15 = 0.19 hours.
From Equation 34 or Table 4, ET = −0.06 hours. Equation 33 then
gives to = 12 − 0.19 − (−0.06) = 11.87. Declination from Table 4 or
Equation 32 is 0.4 radians. Substituting these values into Equation
31 gives:


Θ = arccos sin(0.816)sin(0.4) + cos(0.816)cos(0.4)

cos[0.2618(9.75 − 11.87)] = 0.61 radians, or 34.9◦

Day of Year
1
10
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200
210
220

Table 4: Solar Declination and Equation of Time
Date
Jan 1
Jan 10
Jan 20
Jan 30
Feb 9
Feb 19
Mar 1
Mar 11
Mar 21
Mar 31
Apr 10
Apr 20
Apr 30
May 10
May 20
May 30
Jun 9
Jun 19
Jun 29
Jul 9
Jun 19
Jun 29
Aug 8

51

PAR AND LAI THEORY

AccuPAR LP-80

(32)

(33)

(34)

50

Find the zenith angle for Pullman, WA at 10:45 PDT on June 30.
Convert the time of observation to standard time by subtracting one
hour and convert minutes to decimal hours, so t = 9.75 hours.

Example Calculation:

where φ = (279.575 + 0.986J)π/180. Some values for ET are given
in Table 4.

sin4φ − 429.3cosφ − 2.0cos2φ + 19.3cos3φ]/3600

ET = [−104.7sinφ + 596.2sin2φ + 4.3sin3φ − 12.7

The Equation of Time is a 15 to 20 minute correction which depends
on the day of the year. It can be calculated from:

LC is the longitude correction and ET is the Equation of Time. LC
is +4 minutes, or +1/15 hour for each degree east of the standard
meridian and -1/15 hour for each degree west of the standard meridian. Standard meridians are at 0◦ , 15◦ , 30◦ ...etc. Generally, time
zones run approximately +7.5◦ to −7.5◦ on either side of a standard
meridian, but this varies depending on political boundaries, so check
an atlas to find both standard meridian and longitude. Typically,
longitudes in the Eastern Hemisphere are given as negative values.

t0 = 12 − LC − ET

J is the day of the year. Some values are given in Table 4. The time
of solar noon is calculated with equation 33

+0.03345sin(6.224 + 0.0172J)]]

D = arcsin[0.39785sin[4.869 + 0.0172J

per hour, so the 0.2618 factor converts hours to radians. Time, t,
is in hours (local solar time), ranging from 0 to 24. Latitude of a
given site is easily found in an atlas or using a GPS system. Users in
the Southern hemisphere should enter latitude as a negative number.
Solar declination ranges from +0.409 radians (+23.45◦ ) at summer
solstice to −0.409 radians (−23.45◦ ) at winter solstice. It can be
calculated from equation 32

9

7 LP-80 UTILITY SOFTWARE

The Preferences Menu

Figure 5: Preferences Menu

Data File Tab

27

Downloaded files contain column headers (see Data File Formats).
Uncheck this box to save data files without headers. The date and
time for downloaded readings use the formatting of the Windows
Regional and Language Options (accessible in the Windows Control
Panel). You can set the formatting to use a day/month/year format
with 12- or 24-hour time.

7.5.1

Use the Preferences Menu to modify aspects of the Utility that relate
to downloading and organizing data. The Preferences menu consists
of three tabs: the Data File, Communications, and Application tabs.
Figure 5 shows each tab.

7.5

You can also update the time on this screen.

• Current date and time as set in your LP-80

AccuPAR LP-80

Communications Tab

7 LP-80 UTILITY SOFTWARE

7.6

AccuPAR LP-80

Command Retries: If you are having trouble communicating with
your LP-80, then set the program to automatically re-send commands to the LP-80, up to ten times.

Application Tab

Maximum Baud Rate: Baud rate is the number of bits per second transferred between a device and your computer. By default,
the LP-80 is set to transfer data at 115200 baud. Use a lower baud
rate if you encounter difficulty communicating with your device. (See
Troubleshooting.)

7.7

28

AccuPAR LP-80

9

PAR AND LAI THEORY

lows the recommendation of Lang and Yueqin (1986) for minimizing
clumping effects. You can also measure only at certain times of day
or at positions within the canopy that directly minimize clumping
effects.

Figure 7: Randomly Dispersed L=Le

Figure 9: Over Dispersed L < Le

Zenith Angle and Equation of Time

Figure 8: Under Dispersed L > Le

9.7

(31)

The formulas for calculating elevation angle are relatively straightforward. The zenith angle is calculated with equation 31

Ψ = arccos(sinLatsinD + cosLcosDcos0.2618(t − t0 ))

Lat is the latitude, D is the solar declination, t is the time, and to is
the time of solar noon. The earth turns at a rate of 0.2618 radians

49

7 LP-80 UTILITY SOFTWARE

48

The purpose of this discussion is to expose you to possible errors that
may occur when making LAI measurements in situ. When setting up
an experiment, you should carefully examine the desired end result.
If you are only interested in the interception of PAR within a canopy,
the apparent leaf or plant area index that is calculated through inversion will be an accurate portrayal of the canopy structure and
orientation with respect to light interception. In this instance, while
clumping effects within the canopy remain present, these effects do
not cause error with regard to light interception and the effective
area index for that situation. Alternately, if you are interested in
obtaining the actual biomass represented by L in this discussion, all
measurements should be performed so that the effects of clumping
are minimized. The method used in the LP-80 to compute τ fol-

When a canopy displays random dispersion, Ω is unity; however,
when a canopy is clumped, Ω is not unity. In a randomly dispersed
canopy, L would be equal to Le (figure 2). In an under-dispersed
canopy (clumped), L would be greater than Le (see figure 3, leaves
preferentially shade the leaves). In an over-dispersed canopy, L would
be less than Le (see figure 4, leaves are in the open spaces). Refer to
the next page for illustrations.

where Le represents the actual leaf area index (equal to a harvested
leaf area measurement) and Ω refers to a clumping index resulting
from the non-random distribution of canopy elements.

Software and Firmware Updates

29

Use Decagon’s version check web engine for updates to the LP-80
Utility or firmware. Your computer must be connected to the Internet for this feature to work. To check for a newer version of the LP-80
Utility, choose “Check for Utility Updates...” from the Help menu.
To check for updates to the firmware in your LP-80, connect your LP80 to your computer, select the appropriate comm port, and choose
“Check for Firmware Updates” from the Help menu. You can also
view the latest information about the LP-80 Utility and firmware by
visiting the Decagon website at http://www.decagon.com/support
/downloads.

7.8

Error Log File: Adds more detail to error files, which can be sent
to Decagon for troubleshooting.

Automatic Clock Synchronization: Keeps the LP-80 clock synchronized to the time on your computer.

AccuPAR LP-80

Past studies use LAI to relate both actual biomass area and the
interception of PAR by a plant canopy. Another proposed view regarding LAI in which L, the actual biomass area, relates to a new
term, Le , which represents the actual orientation of the canopy elements relating to the interception of PAR at a given angle. In situ
measurements of LAI using hemispherical photography were equated
with this new term “effective plant area index” (Le ), which was defined as:
Le = ΩL
(30)

AccuPAR LP-80

Automatic Internet Version Check: If you selected this box,
the program will automatically check for updates as soon as it starts
(only if you are connected to the Internet).

PAR AND LAI THEORY

for canopies which never close, as in desert vegetation. The degree
of error in measurement is a result of the canopy deviation of the
canopy from this random dispersion assumption.

9

Config Menu

8 CONFIG MENU

8

AccuPAR LP-80

The Config menu is where you configure and set most of the parameters that affect the functionality of your AccuPAR. When you scroll
to this menu, the Config screen appears with numerous options.

Scrolling further down.

And further.

Use the up and down arrows to scroll through the menu items.

30

AccuPAR LP-80

u
0.69
0.75
0.81
0.90
0.96
0.99

9

(29)

PAR AND LAI THEORY

v
0.73
0.82
0.89
0.95
0.98
0.99

Table 3: Values of u and v for equation 26
χ
0.1
0.5
1.0
2.0
4.0
8.0

τd = τ (Θ)q

Combining equations 16 and 25 gives:

where q = uLv−1 /K

u = 1 − 0.33exp(−0.57x0.9) = 0.80

v = 1 − 0.33exp(−0.97x0.9) = 0.87

1

(0.92 + (tan35)2 ) 2
1.14
= 0.59
=
0.9 + 1.774(0.9 + 1.182)−0.733
1.94

q = 0.80 ∗ 2.64−0.13 /0.59 = 1.2

τd = 0.211.2 = 0.15

f = 1 − τd = 1 − 0.15 = 0.85

LAI measurements & Non-Random Distribution

K=

Example: Calculate a value for fractional daily interception for the
crop in the previous two examples.

9.6

There has been much discussion concerning inversion methods to
obtain LAI. Since all inversion methods rely on the assumption that
elements of a canopy are randomly dispersed in space, errors in the
measurement of LAI may result from a non-random arrangement
of canopy elements. This is especially true for canopies with heliotropic leaves, conifer forests, row crops before canopy closure, or

47

τ (Θ1 ) = τ (Θ2 )p

PAR AND LAI THEORY

(χ2 )
p=
2
(χ + (tanΘ2 )2 )


 21

 21

(24)

(23)

(22)

AccuPAR LP-80

 12

46

(28)

v = 1 − 0.33exp(−0.97χ)

Table 3 shows typical values.

(27)

(26)

u = 1 − 0.33exp(−0.57χ)

where u and v are functions of χ which can be calculated from:

− lnτd = uLv

where τd is the transmission coefficient averaged over all elevation
angles τd can be calculated from:

Intercepted radiation averaged over an entire day can be estimated
from:
f = 1 − τd
(25)

Cover = −τ (0) = 1 − 0.29 = 0.71

τ (0) = 0.210 .79 = 0.29

(0.92 )
p=
(0.92 + (tan35)2 )



If χ is not known, assume χ = 1. Example: From the measurements
in the previous example, find the canopy cover. Take Θ = 35◦ ,
τ = 0.21. The χ value is 0.9.

If Θ1 = 0,

(χ2 + (tanΘ1 )2 )
p=
(χ2 + (tanΘ2 )2 )



We can calculate p from equation 17:

so:

9

Calibration

8

CONFIG MENU

31

When you have the instrument ready to calibrate, move out of the
probe area to minimize reflection off your body, and press the ENTER button to perform the calibration (it is important not to affect
light levels on the probe through shading or reflection). The current
probe calibration displays graphically. If you have no external sensor
attached while performing the calibration, the calibration will return
an error.

The PAR level must be above 600 µmols m−1 s−1 . Values below
this will not update the calibration, so check the PAR levels before
proceeding with the calibration. In general, a clear day where the
sun is visible will be above 600 µmols. Overcast days are typically
less than 600 µmols.

For best results, attach the external PAR sensor to the LP-80 by
inserting the bolt attached to the external sensor through the hole in
the bubble level. This will ensure that the sensor and probe are both
level. The directions state to level the probe and sensor, however
you can also calibrate the AccuPAR on a flat board or platform that
you can prop up at an angle to get more direct light from the sun.

The LP-80 has a calibrated external PAR sensor that it uses for
making simultaneous above and below canopy PAR measurements.
The LP-80 also uses this sensor to calibrate the AccuPAR probe,
ensuring that the PAR response between the external sensor and the
probe are the same. When you select this option, the Calibration
screen appears.

8.1

AccuPAR LP-80

8 CONFIG MENU

Location

Press ENTER again to complete the calibration.

8.1.1

AccuPAR LP-80

You will need to set the correct longitude and latitude for your location to make accurate LAI calculations. This is due to the fact that
zenith angle calculation is based not only on the time and date, but
the longitude and latitude of the site. When you select the Location
menu item, you will see the currently configured location.

Highlight the item you would like to change and press Enter. In
the next screen, use the up and down arrows to change it and then
press ENTER to save the change. Northern latitudes are designated
positive and Southern latitudes negative, while Eastern longitudes
are positive and Western longitudes negative. To exit the location
menu, press MENU or ESC.
32

AccuPAR LP-80

by:

9

L = 2(A + B)

τ
0.21
0.18
0.10

-cosΘ lnτ
1.28
1.29
1.32

(19)

PAR AND LAI THEORY

An approximate value for χ is χ = exp(−B/0.4L).

Example: Readings were obtained as follows:

Θ-rad
0.61
0.72
0.96

Table 2: Sample Readings
Θ-deg
35
41
55

Linear Regression gives:
A = 1.21
B = 0.12
L = 2(1.21 + 0.12) = 2.64
χ = exp(-0.12 / 0.4 x 2.64) = 0.9

A more precise method for finding χ is as follows. We would like
to find values for χ and L which minimize:
X
(lnτi + Ki L)2
(20)
F =

Correction of PAR for Sun Angle

subject to the constraint, χ >0, where τi are transmission coefficients
measured at several zenith angles, Θi , and the Ki are the extinction
coefficients for the corresponding angles.

9.5.1

(21)

Canopy transmission (τ ), measured at one zenith angle, can be used
to predict transmission or radiation interception for other zenith angles. For example, a measurement might be made at Θ = 32◦ from
which cover (1 - transmission at Θ = 0) is to be calculated. From
equation 16:

lnτ1
K1
=
=p
lnτ2
K2

45

AccuPAR LP-80

Figure 6: Extinction Coefficient vs. Zenith Angle

PAR AND LAI THEORY

44

If a measurement is made when the zenith angle is about 57◦ , equation 18 can be used directly to find L. If measurements of the transmission coefficient, τ , are made at several elevation angles, a simple
method from Lang (1987) can be used. The measurements of τ are
used to compute y = cosΘlnτ Θ. These are regressed on Θ (in radians), giving a slope, B and intercept, A. The leaf area index is given

Equation 16 can be used in various ways to determine the leaf area
index, and also the leaf angle distribution for a canopy. The simplest
application is that of Bonhomme et al. (1974). Since K = 1 for
zenith angles near 57◦ , the inversion of equation 16 is simple and
gives:
L = −ln(τ57 )
(18)

Figure 1 shows the extinction coefficient plotted as a function of
zenith angle for various values of x. There are two important things
to note. First, at a zenith angle of about 57◦ , the extinction coefficient is near unity for all canopies. When leaves are horizontal (large
χ), the extinction coefficient, K, is unity for all elevation angles, but
as χ decreases, K becomes smaller at large zenith angles and larger
at small zenith angles.

9

Date and Time

8

CONFIG MENU

33

As with most electronic components, the sensitivity of the exter-

This menu option stands for “External Sensor Constant.” This menu
is for adjusting the calibration constant of the external sensor. You
should only adjust this value either when using a new external sensor, or after the external sensor has been recalibrated. To make sure
this value is correct, check the tag attached to the external sensor
cable. The value shown should correspond with the value shown in
this menu. If you need to adjust the value, press the up or down
arrow keys to the correct value, then press the ENTER key.

External Sensor Const

Use the χ menu is used to set the χ (leaf distribution) parameter
for the plant canopy you plan to measure. See the next chapter for
further explanation of the χ parameter. To change the value of the
χ parameter, use the up and down arrow keys. When the value is
correct, press ENTER.

Leaf Distribution (χ)

Press ENTER to toggle on or off for daylight savings time (summer time). The LP-80 uses this parameter to calculate zenith angles
and Fb values, so make sure it is accurate. When adjusting for daylight savings time, the time will automatically adjust.

Daylight Savings Time

Set your current time and date in this menu. The instrument uses
the time and date provided here to calculate its zenith angle and Fb
values, so make sure it is accurate. Use the up and down arrow keys
to change the values of each item, and use the ENTER key to move
to the next item. Time must be entered in 24 hour format (i.e. 3
pm should be entered as 15:00).Once you have set the time and date
correctly, press the Enter key to exit the menu and store the result
in memory.

8.1.2

AccuPAR LP-80

9

PAR AND LAI THEORY

AccuPAR LP-80

AccuPAR LP-80

8 CONFIG MENU

fleck fraction, which is the beam transmission coefficient, τ (Θ), for
the canopy. The parameter, Θ, is the zenith angle (angle measured
from the vertical) of the probe or solar beam. τ usually varies with
zenith angle. The transmission coefficient for a canopy of randomly
placed elements is:
τ θ = exp(−KL)
(16)

43

The parameter, χ, is the ratio of the length of the horizontal to
the vertical axis of the spheroid, and can be measured as the ratio
of the projected area of an average canopy element on a horizontal
plane to its projection on a vertical plane. See the definition for Leaf
Distribution Parameter in Chapter 3 for more discussion of χ and
typical values for some canopies.

K=

where L is the leaf area index of the canopy (area of leaves per unit
area of soil surface) and K is the extinction coefficient for the canopy,
which depends on the leaf angle distribution of canopy elements and
the zenith angle of the probe. A number of expressions have been
proposed for K. The most useful is from Campbell (1986) where the
angle distribution of canopy elements is assumed to be ellipsoidal.
One can picture the angle distribution of area in a plant canopy to
be similar to the angle distribution of area on the surface of oblate
or prolate spheroids, or spheres. The equation for K is
p
χ2 + tanΘ2
(17)
χ + 1.744(χ + 1.182)−0.733

nal sensors drift over time and periodically need recalibration. We
recommend that you have your external sensor recalibrated. If you
use it heavily each year, we suggest this be done on a yearly basis. If
you only make periodic measurements, one recalibration every two
to three years should be adequate. Contact Decagon for more details
about recalibrating the external sensor.
We recommend you calibrate, or match, the LP-80 to the external
sensor at least once an hour to maintain a stable calibration between
the two sensors.
Active Segments
For some measurement purposes, you may not want to use the entire
length of the probe. For such applications, you can turn off sections
of the probe, starting from the base and continuing down the probe
to the end. When you select this menu, the following screen will
appear:

This screen shows that 5 segments are on. To change this number,
press the up or down-arrow keys until you reach the desired number
of active segments. The icon on the right side of the screen will illustrate the active segments as you reduce or increase them. Once
you have selected your desired number of segments, press the ENTER button. If you have selected active segments smaller than eight,
the number of segments will also appear in the PAR/LAI sampling
menus to remind you that it is in segmented mode.
Note: If LP-80 segments are deactivated, those segments will show
zero when they dump their data. These deactivated segment numbers
will not be used in LAI calculation.
34

AccuPAR LP-80

Extinction Coefficient and Canopy Structure

42

If the the elements of a canopy are randomly distributed in space,
then the probability of a ray of light, or other probe, penetrating
the canopy without interception can be calculated from theory. The
probability of penetration without interception is equal to the sun-

9.5

The next example uses measurements on a sunny day. 1614 µmol
was measured above a pea canopy and 80 µmol under the canopy.
The fraction of PAR transmitted by the canopy was therefore τ =
80/1614 = 0.05. The solar zenith angle was 30◦ , and the beam fraction was 0.881. The A value for equation 15 is again 0.86. χ for
the canopy is unknown, but unless leaves have obvious horizontal or
vertical tendencies, a spherical distribution can be assumed and χ
set equal to 1. (The AccuPAR default value for leaf distribution parameter is 1.0, which is applicable for many canopies). For a zenith
angle of 30◦ , this gives K = 0.577. Substituting these values into
equation 14 results in L = 5.2. The AccuPAR program utilizes these
same equations when the instrument is used to automatically calculate LAI. In the AccuPAR setup menu, you enter your local time,
date, and leaf distribution parameter, and it automatically calculates
zenith angle and beam fraction. It then couples these parameters
with collected intercepted PAR data to determine LAI.

This section describes the method of manually collecting PAR data
for the determination of LAI in a barley and pea canopy. This example has been included to show how the AccuPAR automatically
calculates LAI in the field. PAR was measured above a barley canopy
of 391 µmol (µmol m− 2s− 2) on an overcast day. The average of several measurements below the canopy was 62 µmol. The transmission,
τ , is therefore 62/391 = 0.159. Since the day was overcast, fb = 0.
If a = 0.9, then A = 0.86. From equation 15, L = −ln(0.159)/0.86
= 2.14. If you make a measurement under overcast skies, it was not
necessary to have canopy structure information or solar elevation
angle. Measurements on overcast days are the simplest for LAI determination and do not require assumptions about canopy structure.

Applications and Examples

PAR AND LAI THEORY

9.4

9

8

CONFIG MENU

35

The About menu shows you data about the operating system of the
AccuPAR.

About Menu

The Contrast screen allows you to adjust the contrast of the display to make the display easier to read in sunlight or inside. Use the
up and down arrows to change the contrast. Press ENTER to save
your changes or ESC to cancel.

Contrast

Artificial lighting uses AC electrical power and can add a significant amount of noise to the AccuPAP LP80 sensor measurements.
We designed the power filter setting to eliminate the electrical noise
that comes from the AC powered light source. You should set the
value of the Power Noise Filter to match the frequency of the power
where you live. In North America and most of Asia, this is 60 Hz
(the default value). In most of Europe the electrical frequency is 50
Hz.

Power Filter

AccuPAR LP-80

PAR AND LAI THEORY

AccuPAR LP-80

9

8 CONFIG MENU

AccuPAR LP-80

The About menu provides you with the serial number, firmware version number, and copyright info.

L=

1
2cosΘ

A(1−0.47fb )L
1
(1− 2K
)fb −1

41

(13)

Both equations predict canopy PAR within a few percent of values from the complete Norman-Jarvis model. Equation 11 is slightly
more accurate, but equation 14 is much easier to invert to obtain
L. The difference in accuracy of the two equations is smaller than
other uncertainties in the method, so the LP-80 uses equation 14 to
determine LAI. Inverting equation 14 gives the following:

1
[ 1 − 2K
fb − 1]lnτ
(15)
A(1 − 0.47fb )

where A = 0.283 + 0.785a − 0.159a2 .

τ = exp

John Norman suggests a different equation for predicting scattered
and transmitted PAR, equation 14.
o
n
(14)

K=

where Θ is the zenith angle of the sun and χ is a leaf angle distribution parameter (see Chapter. 3 for definition). When x = 1, the
angle distribution is spherical, and K simplifies to:

K=

where fb is the fraction of incident PAR which is beam, a is the
leaf absorptivity in the PAR band (AccuPAR assumes 0.9 in LAI
sampling routines), and K is the extinction coefficient for the canopy.
The extinction coefficient can be modeled in various ways. If you
assume an ellipsoidal angle distribution function (Campbell 1986),
then
p
χ2 + tanΘ2
(12)
χ + 1.744(χ + 1.182)−0.733

model suggested by Goudriaan (1988). Equation 11 gives the fraction of transmitted PAR, τ (ratio of PAR measured below the canopy
to PAR above the canopy), below a canopy of LAI, L, as
√
√
τ = fb exp(− a) + (1 − fb )exp(−0.87 a)
(11)

36

PAR AND LAI THEORY

AccuPAR LP-80

Using PAR to determine Leaf Area Index

40

We use the Norman-Jarvis model to test and fit two simpler models
which invert more easily. Equation 11 is a simple light scattering

The PAR measured by the AccuPAR within a plant canopy is a combination of radiation transmitted through the canopy and radiation
scattered by leaves within the canopy. A complete model of transmission and scattering is given by Norman and Jarvis (1975), but it
is very complex and not suitable for inversion.

9.3

Only measurements below the canopy have been discussed. Obviously, measurements throughout the canopy are possible. Profiles of
interception with height can be useful in determining at what location most of the photosynthesis occurs in the canopy.

To find rs , invert the AccuPAR over the soil below the canopy and
take measurements at several locations. Average and store these
measurements as before. This reading is the value U . Calculate rs
from equation 8 using U and T . A value in the range of 0.1 to 0.2
should be obtained, but it is possible that the light level below the
canopy will be so low that U will not be accurately measured. If a
value outside of the expected range is obtained, there will be negligible error in f by assuming r = 0.15. As mentioned before, evaluation
of intercepted radiation normally involves the measurement of t.

To find r, level the AccuPAR above the canopy and press the uparrow. Then invert the AccuPAR at a height of 1 or 2 m above the
crop canopy. Leveling is not critical for this measurement since the
radiation reaching the sensor is not directional. Press the down-arrow
key in the PAR sampling menu. Multiple readings are typically not
necessary, since R is not usually variable. r for equation 7 is shown
in the T location at the bottom of the AccuPAR screen.

see the current τ value displayed in the lower left corner of the screen.
With each subsequent below-canopy measurement, the τ value will
be updated. After you have taken sufficient measurements, use the
displayed τ value in the lower left corner for t (see equation 6).

9

PAR and LAI Theory

9 PAR AND LAI THEORY

PAR (Photosynthetically Active Radiation)

Average and Intercepted PAR

(1)

37

The radiation incident on a canopy can be absorbed by the canopy,

Incident solar radiation is the only environmental factor. If you
monitor f and S over the period of crop growth and measure P
at harvest, you can determine e. You can interpret the results of
experimental treatments or the influence of genetics in terms of their
effect on e and f .

where P is the amount of dry matter produced, S is the flux density of incident radiation intercepted by the crop, f is the fraction
of incident radiation intercepted by the crop, and e is a conversion
efficiency. Conversion efficiency and fractional interception (f ) are
determined by crop physiology and management.

P = ef S

Monteith (1977) observed that dry matter production of a plant
canopy is directly related to the amount of photosynthetically useful radiation intercepted by the canopy. Dry matter production is
modeled as the product of three terms:

9.2

PAR is the radiation in the 400 to 700 nanometer waveband. It represents the portion of the solar spectrum which plants use for photosynthesis. Under a plant canopy, radiation levels can vary from
full sun to almost zero over the space of a few centimeters. Therefore, reliable measurement of PAR requires many samples at different
locations under the canopy.

9.1

The AccuPAR is useful for a number of applications, including the
measurement of average and intercepted PAR. The LP-80 calculates
LAI and other attributes of the canopy structure with these measurements.

9

AccuPAR LP-80

9

PAR AND LAI THEORY

AccuPAR LP-80

AccuPAR LP-80

(7)

9 PAR AND LAI THEORY

r = R/S

for fractional interception are those from which you calculate t, r, and
rs . If S is the PAR reading from an upward-facing AccuPAR above
the plant canopy, R is the reflected PAR above the plant canopy (inverted AccuPAR above the crop), T is the upward-facing AccuPAR
below the plant canopy, and U is the reflected PAR from the soil
surface, then t, r, and rs can be calculated with equations 6 through
8.
t = T /S
(6)

(2)

(8)

CV =

39

s
T̄

(9)

(10)

Once you have taken the first below-canopy PAR reading, you will

Where n is the number of samples taken. The fractional error in
the measurement of T will be CV divided by the square root of the
number of samples.

Σ(Ti − T̄ )2
n−1

Where s is the standard deviation of the 10 readings.
s
s=

Measure T by placing the AccuPAR below the plant canopy. Carefully place it below all of the leaves and try to keep the instrument
level. Press the down-arrow key to make below-canopy measurements. The resulting values are displayed below the above-canopy
values on the screen. Since the light below the canopy is extremely
variable, several samples at different locations will be necessary for
a reliable reading. The number of necessary samples can be determined by taking, for example, ten individual readings and computing
the coefficient of variation with equation 9.

Assume you need to know only t and measure S above the crop
canopy. Level the AccuPAR above the canopy and press the uparrow key. The reading displayed in the upper right portion of the
screen is the value for S.

rs = U/T

transmitted through the canopy and absorbed or reflected at the soil
surface, or reflected by the canopy. In principle, only PAR absorbed
by the canopy is useful in producing dry matter, so f should be the
fractional absorption. If t is the fraction of incident radiation transmitted by the canopy, r is the fraction of incident radiation reflected
to a sensor above the canopy, and rs is the reflectance of the soil
surface, then the absorbed radiation fraction is calculated from:
f = 1 − t − r + trs

(3)

The last two terms are often ignored, so approximate fractional interception with equation 3.
f∼
=1−t

(4)

The error resulting from this approximation is usually small when
t, r, and rs are measured in the PAR waveband because most of
the PAR is absorbed by a closed canopy. The error becomes much
more significant when measurements of total solar radiation are used
because of large scattering coefficients of leaves for near infrared radiation.
As a first-order estimate of error, assume that
r = (1 − t)rc + trs

(5)

where rc is the reflectance of the vegetation. Equation 2 becomes.
f = (1 − t)(1 −

rc )

The error resulting from using equation 3 is approximately equal to
rc , which is typically less than 0.05 in the PAR waveband. Since the
AccuPAR sensors are sensitive only to radiation in the PAR waveband, equation 3 will be fairly accurate for making measurements
of intercepted radiation. However, measurement of the other terms
needed for equation 2 is simple and we will deal with them later.
Sampling for Fractional Interception
The functions needed to perform these calculations are available in
the PAR sampling menu of the AccuPAR. The measurements needed
38



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