仙回.狗c,ag。瓦昭αwαaぬ.7j¶,57(2007),89-108
Dry
weight
growth
oICimlamomumcamPhora
seedlings
under
different
levels
of light
intensity
KIYOKAZU SUEHIRO
jlaゐ1・z2z∂りげ&∂jθg3いFizc㎡印げ&j£j£arj∂zl,瓦αg・2wα防zjwrsi印 &ziwαj-cho l-j,乃尨D?zαZ涸76θ-Sj22,j卯皿
ABSTRACT
Seedlings of a琲zα謂∂謂zj謂ごαz?zp/zθyz2L. were experimentany grown under din5erent levels of light intensity including lower light intensity below a compensation point. The relationship between mean
plant weight and wide levels of relative illuminance was newly formulated based on the experimenta1 results. Curve for the relationship between relative growth rate (RGR)and relative illuminance calculated from the new equation approximated to the change of experimental values of RGR to relative inuminance.The light compensation point for RGR was higher than that for plant dry weight, and changed to higher light intensity as time passed. The new equation was compared to the previous equations for plant dry weight response to light intensity, and the differences to the previous equations were discussed. lt was shown that the new equation, which includes the property of the previous equations, well expressed survival in early growth stage under the light intensity below a compensation point・ By comparing the light compensation point for RGR calculated from mean plant weights included cotyledon weight and that for RGR from mean plant weights excluded cotyledon weight, it was shown that the seed reserve mass of Cj7謂α謂∂謂M撰a7斑μ2∂m may translocate to seedlings in early growth stage,
Key words : lightcompensation point; light intensity; relative growth rate; seedreserve nlass; shade tolerance
INTRODUCTION
The study on shade tolerance of whole plant is the most important to explain about the mechanism of succession and forest reileneration. There were the classical works
On I shade 95 & I / b l shade S tolerance of whole Blackman &Black, tolerance mechanism avenmuttu
Although
the&Westby
Blackm皿's
shade tolerance, may be that general・ They the no Plant I 959) amongby Blackman et al.(Blackman
&Wilson,
Recently,there are many
comparative
plant species (Kit咄ma1
994;
Grubb1996; Kobe
&Coates
1997; Walters &Reich
method authors have the formulation
derived the
may be the most reasonable
I r ど I 951a ツ studies of
「.1996;
999 method for the,2000) analysis of
referred to the Blackmanls
method. The major reason
by Blackman &へvilson(1951a)cannot be aPplied in
important indices for the evaluation of shade tolerance,such as light compensation point for RGR, from the formulations fbr the responses of relative
growth rate (RGR),net assimilationrate (NAR)and
leaf area ratio(LAR)to
light
intensity.But large erroris unavoidable for RGR,
because RGR
is derived by numerical
differential from the Blackman result, from and The the interva1 way
&Black
gave up
(experimental data of Plant weight 1959)actually aPplied the din1うrent the generallzatlon
(Shinozaki&Hozumi,1960)
equatlon for each
experimental
relationship between
RGR
and light intensity can be also indirectly derived
relationship between
plant weight and light intensity at each time of growth
(Shinozaki&Hozumi,
1960).The
most important problem to be solved in this
is the formulation for
HozumiErα1
the relationship between plant weight and light intensity・
(1958)grew
j碩房5czM謂θs油Ez,zθsL.under various levels
intensity,and showed
that the relationship between
mean
plant weight
illuminance
showcd
that
based On showed Suehiro var10USweight
zero satisfied the Sanle the similar thatthe reciprocal equation of linear factor. Hozumi
relationship satisfied the
of light
and rdative
(1961)also
reciprocal equation of optimum
factorexperiment ot lmpatiens balsaminaL‥Both
of the equations
Plant weight was reduced to zero when
Ez a/.(1985)cultivated CE/∂jαcrむ1αΓαL
levels and
of light intensity,and showed
relative illuminance satisned the before inuminance reached to zero
relative and that the : equation illuminance lmpatiens relationshiPs But that reached to zero balsaminalL.under between
plant weight
WaS they did not cultivate Plantslight intensity than a light compensation
point. Their equations
Werenlean Plant
reduced to under lower
only derived by extrapolating the experimental results obtained under higher light intensity to lower intensity than lt is wen lntenslty seedlings intensity when the aS
a light compensation point
known that the the
light compensation point of leaves occurs at a lower
light intensity during growth is lowered
(Boardman・
I
of larger-seeded species tended to survive longer under the
below a comPensatlon exPerlment compensatlon polnt, light 1址ht 977).Further、 level of light
point(S
averimuttu &XVestoby, 1996).Therefore,
is conducted the relationship
by induding
the levels of light intensity below a
between mean
Plant weight and lightintensity may
Dry weight growth
be explained by a ln this study,
oI Cinnamonmm
different
camDhora seedlings under di汀erent
equation from the previous equations
Cinnamon恨肌 different levels onight intensity
The relationshiP
formulated
rate
Were
between mean
1evels oflight mtenslty,
az凹辿θz‘a
seedlingsxvere experimentany
groM
/
nunder
including the levels below the light compensation point. plant weight and wider level of relative illuminance was based on the experimental results. The relationship between relative growth
(RGR)and
lightintensity,and the change of light compensation
also examined m Gnna omum the MATERIALS AND IVIETHODS camDhom experiment. Seeds
Universityon November
Xvere 1 L.(Lauraceae), ancollected from the
of Kagawa university at S Sea 995.The aiho-cho experlment ,Takamatsu
level).The
seven levels of light
covenng
of black
the pipe frame (3 m width,
evergreen Planted pomt broad-leaved tree, trees On the waS campus with XVaS of tlme used
Kagawa
carried out on the experimental fidd
City(34°20.3'N,134° 1.7'E, 30 m above
intensity(P1゛ P7)were
set for the experiment by
1.5 m dePth and 1.5 m height)with varying number
mesh sheets excePt the full dayli,
32 pots (30 cm diameter; 24 cm depth;
stones in the bottom and mediumwith a slow effect kinds the of granular
expenment.
Fresh seeds seed] SOwn ght Plot 10 1iter(PI).For each level of light intensity,
volume)tilled
soil mixing sumcient
(tradename : MagAmp
K)were
soi1 weights in each reServe reServe nlass expenment nlaSS of waS f o amount
with 1 1iter of pumice of chemical fertilizer prepared. Mixtures with 1 : 1
(Akatama soiland Kanuma
soil)were used for medium
seeds used in the
experlment
pot,and fresh weight of(seeds without seed coat
Sown seeds.The nlean estimated
pots. Three seeds were
皿d seedlings were
a The M SOWn relative 0.0499g in each 1ater thinned 狛 were measured of two soi1together for every
100 seeds with seed coat
)was measured
together
weight of seed
On Seven One December illuminances in each sPots Plant per (8.8, spotplot(P1-P7)
reServe nlaSS I ″ ` J I ︷ j l Cmand dry weight
for estimation
Per ln21
of
of
seed used in this
996,seeds were
interva1 (7 Plants XVere among Were SOwn m a sPot)Per pot,therefore grown in
measured four tlmes On APri1
30, June 27, August 30 and October 30,1996, by the simultaneous reading of digitallux“
meters (Minolta T-I H),one kept in the open
measurements
aSa
Thc averagcs
each shading
of 32 sPots for the each Plot were
and standard deviation
plot xvere
I
00% (P1),
control,and other in the
averaged geometrically
of relative i 55.3士3.6% each for the plot each The plot. 11uminance measured four times in the(P2)、]7.9
土21%(P3)、9
つ Iハ
︷
(P4),2.94±0.69%(P5),2.12±0.40%(P6)and 0.59±0.04%(P7)to full daylight.
Mean daily solar radiation from firstgermination (May 5, 1996)to the 6th harvesting
(November 2,1996)was 16.3 MJ/ 「at 7nlkamatsu Meteorological Observatory (34°
18.9'N, 134゜ 3.4'E, 9m above sea leve1),and slightly larger than the mean from 1974 to
1998(16.0 MJ/ 「)。
The numbers of germinated seedlings were counted at two or three days interval
from late April to August 23,1996, and the numbers of dead seedlings were also counted after June 27, 1996 (seedlings were already thinned to フper pot),at two or three days interval。
Plants were harvested on June 1 5,July 1 3 , August 1 0,September 7,0ctober 5 and November 2 in 1996, and Apri1 12, May 10 and June 7 in 1997. For each harvesting date, 21 plants in the 3 pots randomly selected were harvested. After washing their roots with tap water, their plant height, stem diameters close to root and leafareas were n!easured.
Each plant was separated into root,stem, leaf and remained cotyledons below ground,
and dried for weighing・
RESUUrS
Germination,mortality and decrease of cotyledon weight
The cumulative germination rates from late April to August 23 in 1996 are shown
for each shading plot in Fig. 1. The germination rates were calculated for sown seeds, but the pots decrease by the harvestings of 4 weeks interval and, therefore,the germination rates were calculated for sown seeds except those in the harvest6d pots. The germination of seedlings in the open plot (PI)was the earliest than those in the other plots,and the germination in more shaded plots were later. The final values of cumulative germination rates in Pl and P2 were higher than those in more shaded plots。
Seedlings were dead only in the most shaded plot (P7, relative illuminance °
O.59%)in 1 996. The survivorship curve of seedlings in P7 from June 27, 1 996 to
February 22, 1997 is shown in Fig. 2. The numbers of survivors were counted for
seedlings cultivated, but the cultivated seedlings decreased by the harvesting of 4 weeks interval and, therefore, the survival rates were calculated for the cultivated seedlings except the harvested seedlings. After the 6th harvest on November 2,1996, th色number of the cultivated seedlings in P7 was 98 of 14 plots including the dead seedlings, The seedlings in P7 started to die on July 6,1996, and all seedlings in P7 died on February
97
︵z︶9lej
UO!leU!Ujje19A!lelnUjno
Dry weight growth of C訥以z謂θ謂四n?αz?写油∂M seedlings under different levels onight intensity,
100 0 0 Q Q 0 0 0 0 0 0 7 6 5 4 3 り/・ 10 4/26 Fig.1 心g W
9WJ
leA!AjnS
120 100 0 0 aNQ 0 04 2 5/16 6/5 6/25 0bserved date,1996 7/15 8/4 8/24Cumulative germination rate (%)oI Cinnammomumcomphoralor each level of relative illuminance(PI:100%,P2:55.3%,P3:17.9%,P4:9.21%,P5:2.94%, P6:2.12%,P7:0.59% 6/27 1 ノ2T7 of full daylig㈲ 8/26 9/25 10/25 11/24 12/24 1/23 1996 1!
Fig.2.Survival rate(%)oI Cinnamomum camphora xrxP7(0.59%of fulldaylight).
2.12%).The survivorships at harvesting date in P6 were 75.3%(ApriH2),65,0%(May
10)and 48.8%(June 7)in 1997。
The seed of a四α謂θ謂z4附is non-endospermic seed, and the seedling is hypogeal,
which cotyledons remain below ground after germination. The cotyledons were
ha,rvested in this experiment but not perfectly. Some cotyledons missed in soil. The mean dry weights of cotyledon were obtained for each level of shading and harvesting time. But the dif1rence of cotyledon weight among the shading level was not significant (P
>O.05),because the samples of cotyledon were not sufficient in the 2nd and the later
harvestings. At the l st harvesting, when cotyledon samplesivereconected sufficiently
for examination, cotyledon was larger in more shaded plot (P<O.025).The mean dry
weights of cotyledon were calculated for each harvesting date regardless of shading
levels.恥mporal change of the mean dry weight of cotyledon was shown in Fig. 3. The
relationship between the mean dry weight of cotyledon (wo:g)and days after the l st
harvesting(z : day)was formulated as follow。
wo=0.00633e ̄"235゛+0.00293 (1)
According to equation (1),wo decreases and approaches to the final weight(O.00293
g)as time passes. About 94%of the initial seed reserve mass (0,0499 g)may be used
︵11︶suopel4oo peu!eujgj Jo lql!eM &lp -100 -50 0.1 50 100 150 200 250 300 350 400
Days after first harvesting
Fig.3.Time
trendS of mean dry weight of remained cotyledons below ground. The curve
represents
lhe relationship
calculatedby fitling
equation(1).
J こ l l 】
Dry weight growth of C泌汝7脚び脚1折7cほ碍辿び心seedlings under different levels of light intensity,
for the construction of seedlings and respiration loss. Supposing that the mean dry
weight of cotyledon decrease as shown by equation (1)even before the l st harvesting,
the cotyledon weight of 8 1 days (March 26, 1996)before the l st harvesting equals to the initial seed reserve mass. Therefore, seeds may staft the action for germination after late March.
Time
trend of mean
plant weight
Time trend of mean plant weight are shown in Fig.4 for each shading level (P1-P7). Mean plant weight was obtained by multiplying the survival rate at harvesting time to
mean
plant weight of survivors.M/eights of cotyledons and dead leaves were excluded
from mean plant weight. 0nly for P6 and P7,mean
plant weights of survivors are also
shown by broken lines (P6' and P71).The mean plant weights in PI-P6 trend to increase
︵切︶ 100 1 0 1 IL111!eM lueld uee14j 0.1 0.01 0 50 100 250 350
Days afterlrst harvesting
Fig.4.Time trends of mean plant weight for each level of relalive illuminance (PI:100%,
P2:55.3%,P3:17.9%,P4:9.21%,P5:2.94%,P6:2.12%,P7:O.59%of fulldaylight).
with time,but those after the fifthharvesting increase slowly compared with those before the 4th harvesting The mean Plant weights in Pフincrease a littlefrom the l st harvesting
harvesting show the tendency to become larger than that of the l st harvesting, but do not exceed the initial seed reserve mass.
The relationships between
relativeilluminance
and mean
plant weight
The
relationships between
mean
plant weight
(w)and
re141tivemuminance
(/1)
are shown in Fig. 5a fQr from the lst harvesting (Jun.15,1996)to
the 6th harvesting
(Nov.2,1996),and
shown in Fig. 5b for from the 7th harvesting (Apr.12,1997)to
the
gth harvesting (Jun.5,1997).The
following equation is fittedto the w  ̄y relation for
cach harvesting 1 0 1 0.1 ︵1︶s ‘lql!9M lulld ul91N 0 . 0 1 0 . 0 0 1 0 . 0 0 1 OJun.15 ●Jul.13 △Aug.10 ▲Sep.7 □Oct.5 ■Nov.2 ( a ) 0,01 0.1
Relative illuminance, f(daylight=1)
1 0 0 1 0 1 ︵11︶4clql!9s lueld C g Q 5 一 0 . 1 0 . 0 1 OApr.12 ●May 10 ムJun.7 ( ♭ ) 1 0 . 0 1 0.1 Relative illuminan。。,f(daylight=1) 1
Fig. 5. Relationships between mean plant weight (,4/)and relativeilluminance (りull daylight
=1)for each harvesting time in 1996(a)and 1997(b).The curves represent the
Dry weight growth of Cizz‘2謂θ謂zj謂cα謂μ1θΓaseedlings under different levels of light intensity, W I - C --
熹
戸
十 召②
whereA,凧C
and /7are the coemcients sPecificto the exPerimental condition other
than y:The
values of coefficientsin equation (2)were
determined by the Marqua
-
rdt
method(vid.
Tone, 1982),a nonlinear least squares√asΣ │(w・bi−w・・l)/w,j 2is
minimizedjn
which w。h,isthe observed values of w and w。。lis the calculated values
of w by equation (2)for each harvesting. The unit of w and y used gram and relative
illuminance to full daylight ( ゜1)for calculation, respectively・ The Curves in Fig.5
indicate the relations shown by equation (2).The curves well nt for the observed values
ofw(P<O.0 1 in all harvestings).The obtained values of coefncients in equation (2)
and the coemcients of determination (R2)for each harvesting are given inlable l.The
coefncients of determination were calculated by Kan (1990).Time trends ofA,召,C and
力areshown in Fig. 6. The values ofAdecrease rapidly until the 4th harvesting, but the later values decrease gradually excePt a littleincrease in the 7th harvesting. The values of召 show the similar trend toA.The values of C gradually decrease until the 6th harvesting with keeping small positive values, but later decrease to negative values. The values of lz were nearly equal to l in the l st and 2nd harvestings and gradually increase from the 3rd harvesting to the 6th harvesting, but again nearly equal to l after the 7th harvesting when all plants dead at P7.
Table l
The obtained values of coefficientsin Equation (2)and the coefficients of
determinant(R2)for
each harvesting.
Harvesting date 1 2 3 4 5 6 7 ︵S 9 J u n , 1 5 , 1 9 9 6 J u l . 1 3 , 1 9 9 6 A u g . 1 0 , 1 9 9 6 S e p . 7 , 1 9 9 6 0 c t . 5 , 1 9 9 6 N o v . 2 , 1 9 9 6 ■ ㎜ ㎜ ㎜ ㎜ ㎜ ㎜ J J ㎜ 皿 - l ㎜ ㎜ ㎜ ㎜ ㎜ ㎜ ㎜ 皿 ㎜ ㎜ ㎜ A p r . 1 2 , 1 9 9 7 M a y l 0 , 1 9 9 7 J u n . 7 , 1 9 9 7 Å 7.33 1.26 0.193 0.0383 0.0334 0.0157 0.0244 0.0221 0.0178 召 2 1 0 60 01 423 1 0 8 2j j 0 0 0.115 ---0.0603 0.0423 0.0401 C 0.0290 0.0264 0.0207 0.0182 0.00584 0.00133 −0.667 −0.839 −1.09 万 1 0 1 1 05 990 30 57 ″`J ″`。。‘ I 1 71 1 0 1 0 0 990 982 R2 0.9673 0.9895 0.9967 0.9907 0.9979 0,9953 0.9924 0.9962 0.9840
A C 1 0 1 0.1 0.01 0.2 0 -0. 2 4 6 -0.8 -1 -1.2 0 100 200 300 Days after 11rst harvesting
1 0 0 2 0 0 3 0 0 1 0 | 0.1 0.01 400 4 0 0 1.8 CD 9 11 11 り/一1 1 0 , 0 , 8 6 4 2 0 0 0 100 200 300
Days after first harvesting
1 0 0 2 0 0 3 0 0
400
4 0 0
Days afterfirstharvesting Daysafter11rstharvesting
Fig. 6. Time trends oM, ∂,C and 削│n equation (2).Broken line is C=OforC and /l=l for /7 respectively.
Responses of RGR
to relativemuminance
Relative growth rate (RGR)from
time zjto time z2can be derived as fonows
(Blackman&Wilson
1951b).
RGR -I W 占 訴 --/四w2 ̄/qw1
t1 ̄号 ? (3)where wl and w2 are mean plant weight at zl and z2,respectively, and log is natural
logarithm. The values of RGR are calculated directly by substituting the obtained
data of w in each harvesting time to equation (3),and the values of RGR calculated
by this method are hereafter called 'lthe observed values'l of RGR. The relationships
between mean plant weight (w)and relative muminance (y)are formulated as shown
in equation (2).The relationships between relative illuminance and RGR are derived
︵jの。a
tJ/11)SDU
(s51asgJ/11)UgU
Dry weight growth of C泌心琲7θ用附召cぶ男辿θ印seedlings under difkrent levels of light intensity,
Logarithm of relative illuminance
(daylight=100)
Logarithm of relative illuminance
(daylight=100)
(sslagaq︲1/1)SDU
(sfas
t.11/11)SOU
Logarithm of relative illuminance
(daylight=100)
Logarithm of relative illuminance
(daylight=100)
(sMgs9.s/2)HDa
Logarithm of relative illuminance
(daylight=100)
Fig.7a.Relationships between relativegrowth rate (RGR)and common logarithm of relative
illuminance(full daylight =100)foreach harvesling period in 1996. Solid circles
represent the values calculated directly bv equation (3).The curves represent the
relationships calculated from equations (2)and(3).R 2 : coefficienlof determination。 *:P<0,01,**:P<0.05. (ssl99'v‘1'.l/l)U91:1 1 Lr︶ 0 1r︶ o 7 -1 (ssl99al'.1/1)llOI!:1 1 LQ 0 1n 0 0 一 − 1
Logarithm of relative illuminance (daylight=100)
Logarithm of relative illuminance (daylight=100)
Fig.7b.Relationships between relative growth rate (RGR)and common logarithm of relative
illuminance(full daylight =100)for each harvesting period in 1997. Solid circles
represenl lhe values calculated directly by equation(3).The curves represent the
relationships calculaled from equations (2)and(3).R2 : coefficientof determination,
harvesting to equation (3).The relationships are hereafter called ¨the calculated curves¨
of RGR.
The relationships between
relativeilluminance
け)and
RGR
obtained from the
present experiment
are shown
in Fig. 7a and Fig. 7b. Curves indicate the calculated
curves of RGR.
The values of RGR
were calculated per 4 weeks. The unit of mean plant
weight is gram. The common logarithm of relative illuminance (daylight °100)are
used for horizontal axes in Fig. 7 afterBlackman&NVilson(1951b).The calculated
curves of RGR well fitfor the observed values of RGR until the 6th harvesting (Nov.2。
1996)(P<0.01 or P<0.05),but do not fit for those afler the 7th harvesting (Apn12,
1997)(P>0.05).
limporal
change
oflight compensation
point
Light intensity, where net photosynthesis takes zero in light-photosynthesis curve of a leaf, is used as the light compensation point. Three types of light compensation point are considered from the results of this experiment. First is a relative inuminance at which
RGRニO in RGR −y relation. This light compensation (∫よ)is considered as the value
for a whole plant different from the value for single leaf (Blackman&WIlson 1951b).
This light compensation point is obtained by numerical calculation。
ln this report, weights of cotyledon remained below ground were excluded from
mean plant weight. lf cotyledon weights are included, mean plant weight increase a
little.Cotyledon weight decreases with time, but do not become to zero. The final weight
is considered a container of seed reserve mass. The mean final weight of cotyledon is
estimated as O.0499 g・ The relationships between mean plant weight added cotyledon
weight excluded this nnal weight and relative illuminance satisfy the similar relationship
to equation (2)for each harvesting. The light compensation point (y≒2)for new RGR
obtained by new w −∫relations is calculated by the same procedure。
Third is a relative illuminance when w ° O in w- / relation. This type of light
compensation points is shown when C <O in equation (2).The light compensation
point(石3)for w is derived from equation (2)as follow ・
-( −AC 召C十1 治 I う う 4 ぐ
These three types of light compensation point do not always compensate the future
Dry weight growth of a皿ar?1θ訓四2cαy?7ρ11∂z7zseedlings under different levels of light intensity
一一一一 2 1.5 1 0.5
︵訳︶lu!od
uo!lesugduJool@!1
J−゛
100 300
Days
after first harvesting
Fig.8.Temporal changes of light compensation points estimated by diffe-rent procedures. Solid circles, open circlesand open triangles represent y°cl,fc2 and fc3, respectively,See text in detai l。
Table 2 The estimated values onght compensation point(%).Three types of
lightcompensation point (た1,た2 and た3)were estimated by different
procedure.See text in detail。
Harvesting period or date
Jun.15 −Jul. 13,1996 Jul. 1 3 −Aug. 10,1996 Aug. 10 −Sep. 7j996 Sep.7 −Oct. 5,1996 0ct.5 −Nov. 2,1996 Apr. 12 ’May 10, 1997 May 10 −Jun. 7, 1997 Apr. 12,1997 May 10j997 Jun.7,1997 八1 0 1 0 35 11 69 I フ ー 1 2 2 74 29 06 几2 1 24 ︵ 5 1 1 0 ,85 ご J フ ー 1 2 2 76 26 07 八3 1 1 1 77 85 89
caned¨light compensation point¨in this paper。
Temporal changes of the estimated values of light compensation points obtained from this experiment are shown Fig.8 and Table 2. The light compensation points for w were not obtained before the 6th harvesting. There is a large difference between 私l and石2in a period of the l st and 2nd harvesting, but differences are smaller in the later harvesting・ ln spite of irregular change, all values of light compensation points show the tendency
approaching to about 2%of relative illuminancewith time. Among the values after the
7th harvesting, the two light compensation points for RGR are higher than that for mean plant weight.
DISCUSSION
Hozumi el al.(1958)grew Hibiscus MoscheutosL.under various levels of light
intensity,and showed that the relationship between mean plant weight (w)and lelative
illuminance(y)satisned the following equation.
1 W -Å y 十召,
whereAand召are the coemcients specinc to the experimental conditions other than
y: The growth factor satisfying equation (5)is called a ¨linear factor¨by Shinozaki &
Kira(1958).Based on the similar experiment of加pdasゐ 「g 「uL.,Hozumi(1961)
showed again that the same relationship satisfied the following equation.
I W -Å y
Åソ十7j
j /O ぐwhereA,Å'and召are the coemcients specific to the experimental conditions other
than y. Equation (6)gives a maximum value of mean plant weight at an optimum
levels of y. The growth factor satisfying equation (6)is called an ¨optimum factorl' by Shinozaki&Kira(1958).
Equations(5)and(6)indicate that w approaches to straight line with gradient l
at lower f on both logarithmic co-ordinates, and w approaches to zero at y →O. Suehiro
Dry weight growth of aziz2α謂θ謂M謂cαMp/zθΓとzseedlings under different levels of light intensity,
1evels o臼ight intensity, and found out that mean plant weight approaches to curve with
steePer gradient than l at lower rdative illuminance on log-log co‘ordinates. They
therefore apPlied the following equation to the relationshiP between mean Plant weight
(w)and
relativeinuminance
(∫)
I W- Å
ヂー八
orA’十ぶけ一八)+肌
゜O in equation 7 as follow.
I W
- Å
y一八
十 召 (7) (8)The
value of yo in equations (7)and(8)indicate
the relativeinuminance
where
plant weight is reduced to zero,and may
be regarded as a kind of light compensation
point. Putting ∫=j − yo in equation (7)or(8),equation(7)or(8)coincides
with
equation(6)or(5),respectively。
The
results after the 7th harvesting in this experiment
are regarded as み≒l and
satisfyequation (8).When
/1° 1,equation (2)is shown as follow.
I W−C 一 一 Å デ 十 召
Equation(9)is
transformed as follow.
I W 一
- Å
(斑フ+1)2
y 十 AC 召C十1 + 召 召C十1 (9) I ぐ O)By replacing A/(jC+1)2 withA,j/(jC+1)with j and −AC/(jC+1) j・ ・ j° /。。,`S ,・ /。,`4 ・ ・1 。・ /nx ,/'iノハ・¶ァ1 /'1/八
with石in
equation (10),equation(9)coincides
to equation (8)atCく0.When
C く0,
yo(=石3
in equation (4))is obtained from equation (2)as shown in equation (4).
Equation(2)shows that w →C aty→O, and w →1/召十Cat∫→oo. The values
of C and l!B 十C indicate the lower and upper limits of w, respectively・ At / →O,w
is positive when C >O, but w is negative when C <O. Real values of w cannot take
negative values, and therefore seedling will die. XVhen seedling germinates, seedling body is constructed by seed teserve mass and seedling weight may be kept positive even at∫'O. Then the value of C keep positive. Under the light intensity lower than a light compensation point, seedling weight decreases with time by respiration loss and seedling
will die soon. After all seedling died at y ° O,the value of C take negative. The time required for seedling death of the species with large seed reserve mass may be longer than that with small seedreserve n!ass evenif they have the same light compensation point.
The w −∫curves drawn by equation (2)for different values ofA(=0.01,0.02,0.04)
under constant 召(゜O.1),C(二〇.03)and /z(゜1.5)are shown in Fig, 9a. The w
 ̄
∫curves move in paranel with∫axis for the change ofA.The w -y curves for different
values ofみ(=1,1.5,2)under constantA(=0.02),召(=0.1)and C(=0.03)are
also shown in Fig. 9b. The value of /zindicates the slope of the w −y curve in the middle range of∫on both logarithmic axes. The slope of the w  ̄y curves become steeper in the middle range ofy for increasing of lz as shown in Fig. 9b.
The relationships between relative illuminance and mean plant weight are compared in Fig. 10 for the case applying all the data at the sixth harvesting to equation (2)(fine
curve,thenjz=1.71 and C =0.00130)and thecaseapplying the data in PI  ̄P5 atthe
same harvesting to equation (2)with h= 1 (tick curve; then.h= l and C ' − 0.496).
The w −yrelation seem to be well approximated by equation (2)with C <O and h=
l on both normal axes,but there are large differences between the data in lower∫and
the w −y curve shown by equation (2)with c <o and 11 ' l on both logaJjthmic axes.
Rgure
10 also indicates that the w  ̄∫relationshown by equation (2)with
/z>1
and
C>O
is approximately shown by equation (2)with
C <O
andみ'l
in sumciently
higher range ofythan the light compensation point.
There is a point of inflexionunder the condition of /z>1 in equation (2),and the
curvedrawn by equation (2)is
convex downward
at y <
and convex downward at ダ> Å 召 Å 召 jl み ぐ ( /Z + j l jl 万 ぐ ( /z + j l 蹟 1 蹟 IW
1 0
1
0 . 1
0 . 0 1
Dry weight growth of ar謂a謂∂謂M/?l cαz?写7/zθΓaseedlings under diff1rent levels of light intensity・
0 . 0 0 1 0 . 0 1 1 W 1 0 1 0 . 1 0 . 0 1 0 . 0 0 1 f 0 . 0 1 f 0 . 1 1
Fig.9.The change of the ・4/− f curves on both logarithmic axes drawn by equation (2)for
(a)different values ofメ1(=0.01,0.02,0.04)under constant S(=0.1),C(=0.03)
and /1(=1.5),and(b)different values olh(=1,1.5,2)under constanM (=0.02),S
(=0.1)and C(=0.03). 9 8 7 C ljUDg N ︵l︶44 ‘1@!9“q”9ld ”9911ヽ’一 1 0 - 1
Relative illuminance, f(daylight=│)
1 0 1 0.1 ︵11︶4’ ‘lqj!s W8ld C Cg Q 芝 0.01 0 . 0 0 1 0 . 0 0 1 0 . 0 1 0 . 1 1
Relative illuminance, f(full daylight=1) Fig.10.The comparison between the case applied all dala in the sixth harvesting to equation
(2)(fine curve)and the case applied data of PI-P4 in the same harvesting to
equation(2)with /7=1(tick curve)on(a)both normal axes and (b)both logarithmic
The survivings below the light compensation in early growth stage are expressed by
downward convex curve in lowerj
The most available method to infer the shade tolerance of seedlings may be
measurement of a light compensation point, namely, the light intensity at which there is a balance between photosynthesis and respiration in a whole plant. For this purpose,
some investigators (Blackman&XV11son 1961b,Mahmoud&Grime 1974)have
cultivated plants under various levels of light intensity,and obtained the light intensity at which RGR ° O in RGR-light intensity relation. But the experimental values of RGR
directly calculated from experimental results have large variations as shown in the
present results especially after the 7th harvesting (Apr,12, 1997)(Fig. 7b).lt may be !.__.____!1_1_え_JC_._.__.1_J.Il jl r ,i l .1 1` 1`』 7`●/Ny・● i ・● 哺.゜, ・j impossible to formulate directly from the relationships b6tween RGR and light intensity・
lt is avoidable that the experimental value of RGR has a large error, because RGR is
calculated by numerical differential as shown in equation (3)(Shinozaki&Hozumi
1960).Thereforejt may be better procedure that the relationship between plant weight and light intensity is formulated, the relationships between RGR and light intensity are derived from plant weight −light intensity relations,and a light compensation point of RGR on the relationship between RGR and light intensity is estimated. ln spite of large
variations of experimental values of RGR/'the calculated curves¨of RGR well show
the tendency of the experimental values of RGR to light intensity. Equation (2)we11 fit for the relationships between the observed values of mean plant weight and relative
inuminance(P<o.01 in all harvestings),therefore,1'the calculated curves¨ofRGR and
light compensation points may be reliable. But their confidence limits are not obtained
because the relationships between RGR and relative illuminance are not shown by
slmple llnear regresslon.
There was a large difference between two types of light compensation point
obtained for RGR only in the period between the l st and 2nd harvestings. ln the most
shaded plot (P7 : O.59%of full daylight),the value of RGR calculated by mean plant
weight of seedling only took a positive value only in this period and the seedlings in P7 started to die on July 6,1996, just before the 2nd harvesting. Seedreserve nlasshas been
thought to play important role to shade tolerance (Leishman&XVestby 1994).Those
results suggest a甜zα謂θ謂M謂a2扉ρ/zθz7zseedling directly depend on seed reserve mass
only in early short period after germination. lf seed reserve rapidly translate to seedling, shade tolerance of seedling itself may be play important role after rapid translocation of seed reserve. lf seed reserve slowly translate to seedling, seedling maybe survive longer even if seedling itself is intolerant. Two types of light compensation point obtained
for RGR were more than 2%of fun daylight in the period between the 7th and gth
Dry weight growth of Cj琲2α謂θz71zlz7zcαタ7zμzθπ2seedlings under different levels of light intensity・
daylight)were also dead in the second year after germination。
The value of八3 means that all seedlings die under lower light than this value at
its harvesting time. The seedlings in the most shade plot (P7 : 0.59%of full daylight) started to die on July 6,1 996, and all seedlings finany died on February 1 8,1 997. This
result shows that some seedlings oI Cinnamomum camphora survive until about 8
months after germination under lower light condition below the light compensation point ofRGR.
ACKNOVVLEDGNIENTS
The author is indebted
to the students of Biological
Laboratory, Faculty of
Education,Kagawa
university, for theirhelp during the experiment. Useful suggestions
and criticisms on a draft of this paper by lx/1r.
Ivlasahiro Nagano
are also sincerely
acknowledged.
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