STEWART ET AL.: PHENOLOGICAL TEMPERATURE RESPONSE OF MAIZE of residue management on the number of volunteer seedlings in fine fescue merit further investigation. The total area allowed for open-field burning in Oregon will be reduced to only 16200 ha after 1997. In western Oregon, perennial ryegrass and tall fescue seed crops may be managed successfully by mechanical removal of the postharvest residue (Young et aI., 1998). Results of the present study likewise indicate that in Chewings fescue the mechanical removal of the straw results in similar seed yields as with residue burning. Therefore, a high priority should be given to red fescue when allocating the acreage that is allowed for field burning. In western Oregon, the majority of red fescue is grown along the less densely populated eastern side ofthe Willamette Valley, and the westerly winds usually carry the smoke from open-field burning farther to the east, where few people live. This would make the practice of open-field burning more acceptable for red fescue. However, to minimize smoke pollution, burning regulations restrict the times when burning is allowed; thus, field burning may not be done in a timely manner, and research efforts should continue to look for alternatives to open-field burning. Alternating mechanical residue removal with burning by a mobile sanitizer in different years resulted in the same mean seed yields for Chewings fescue as continuous burning (Young et aI., 1984b). Comparing continuous open-field burning with alternating burning for production of red fescue seed merits further investigation. REFERENCES 73 Chilcote, D.O. 1969. Burning boosts grass seed yields. Crops Soils 21(8):18. Chilcote, D.O., and W.e. Young III. 1991. Grass seed production in the absence of open-field burning. J. App!. Seed Prod. 9:33-37. Chilcote, D.O., and H.W. Youngberg. 1975. Propane flamer burning of grass seed field stubble. Progress Rep. Ext/ACS 8, Agric. Exp. Stn. Oregon State Univ., Corvallis. Chilcote, D.O., H.W. Youngberg, P.e. Stanwood, and S. Kim. 1980. Post-harvest residue burning effects on perennial grass development and seed yield. p. 91-103. In P.O. Hebblethwaite (ed.) Proc. Easter School in Agric. Sci., 28th, Univ. of Nottingham. 1978. Butterworth, London. Chilcote, D.O., H.W. Youngberg, and W.C. Young III. 1983. Postharvest residue burning as a management tool in grass-seed production. p. 254--257. In J.A. Smith and V.W. Hays (ed.) Proc. Int. Grassl. Congr., 14th, Lexington, KY. 15-24 June 1981. Westview Press, Boulder, CO. Hare, M.D., and W.J. Archie. 1990. Red fescue seed production: Post-harvest management, nitrogen and closing date. N.Z. Grassl. Assoc. 52:81--85. Pumphrey, F.Y. 1965. Residue management in Kentucky bluegrass (Poa pratensis L.) and red fescue (Festuca rubra L.) seed fields. Agron J. 57:559-561. Young, W.e., III., B.M. Quebbeman, T.B. Silberstein, and D.O. Chilcote. 1994. An evaluation of equipment used by Willamette Valley grass seed growers as a substitute for open-field burning. Ext/CrS 99. Dep. of Crop and Soil Sci., Oregon State Univ., Corvallis. Young, W.C., III., H.W. Youngberg, and D.O. Chilcote. 1984a. Postharvest residue management effects on seed yield in perennial grass seed production: I. The long-term effect from non-burning techniques of grass seed residue removal. 1. Appl. Seed Prod. 2:36--40. Young, W.e., III., H.W. Youngberg, and D.O. Chilcote. 1984b. Postharvest residue mana~ement effects on seed yield in perennial grass seed production: II. The effect of less than annual burning when alternated with mechanical residue removal. J. Appl. Seed Prod. 2:41--44. Canode, C.L., and A.G. Law. 1978. Influence of fertilizer and residue management on grass seed production. Agron. J. 70:543-546. Phenological Temperature Response of Maize Douglas W. Stewart,* Lianne M. Dwyer, and Lori L. Carrigan ABSTRACT Variability ofdevelopment rate estimates across locations and years .... the CUlTent heat unit system of growing degree-days (GDD) wlth maDmum and minimum temperature tbresholds of 30 and 10"C (GDDlI,I') limits predictability of maturity in bybrid maize (Zea """ L). Data sets of daily maximum and minimum air temperatures ... dates of maize denlopment stages were collected for a range of IIJbrids at locations in Canada and the northem USA (39" to 4SO N lat). DatIl were analyzed to impron the temperature response functions for ..ae at different stages of development. Results indicate tbat during ftletltin growth, phenological response to mean daily air temperalire followed a sigmoidal c:urve beginning below SOC, with maximum nIpOase to temperatures between 2S and 3O"C. During reproductive pnrth, the temperature response function was nat from 0 to IrC IIlII'OIe significantly omy witb mean daily air temperatures greater ...... this range. A general thermal index (GTI) based on these two nIpODse functions improved estimation of maturity dates by 50% 0ftI' estimates made using GDDlO.1' (SE of6.7 d for GTI and 13.6 d for GDDlI,Io In estimating time from planting to maturity). The greatest -,ro,.ement using GTI occurred for the reproductive period (SE of U d using GTI, compared with tl.l d using GDDlO.l0)' These results ..... that incorporating the temperature response function reported II lids paper would impron prediction of maize development. T HE ACCURATE PREDICfION of maize development rate in temperate regions is the basis of a thermal index and thermal zonation. Development rate can be modified by several factors, such as photoperiod, soil moisture, solar radiation and fertility, but it is primarily affected by temperature (e.g., Baron et aI., 1975; Cross and Zuber, 1972; Gilmore and Rogers, 1958; Hodges, 1991). The effect of temperature on development rate has been described using a thermal-time concept, such as Abbreviations: CHU, crop heat units; Fr, temperature response function; GOD, growing degree days; GDD"l,Io, growing degree days with temperature thresholds of 30 and lOoC; GTI, general thermal index; TA, average daily airtemperature; TO/" average daily air temperature at maximum value of FT ; TMAXL, maximum threshold air temperature; TMINL, minimum threshold air temperature. D.W. Stewart and L.M. Dwyer, Agric. & Agri-Food Canada, Eastern Cereal & Oilseed Res. Clr., Ottawa, ON KIA OC6, Canada; L. Carrigan, Pioneer Hybrid Int., Plant Breeding Div., Willmar, MN 56201. Contribution no. 961105 of the Eastern Cereal & Oilseed Res. Ctr. Received 16 Jan. 1997. *Corresponding author ([email protected]). Published in Agron. J. 90:73-79 (1998). 74 AGRONOMY JOURNAL. VOL. 90, JANUARY-FEBRUARY 1998 the growing degree day (GDD), which assumes that phenological development is constant per degree of temperature between a base temperature (TMINL) and an upper threshold temperature (TMAXL), above and below which the development rate is zero. The simplicity of the GDD and its improvement over a day counter for prediction of development has led to its widespread adoption, particularly for the vegetative period (planting to silking). Estimates of TMINL for the vegetative period range from lOoC (Brown and Bootsma, 1993), to SoC (Ritchie and Nesmith, 1991), to 6°C (Derieux and Bonhomme, 1982a, for germplasm from 11 European countries including the most northerly maize production areas). Estimates ofTMAXL for the same period range from 19 to 34°C (Ellis et a1., 1992; Ritchie and Nesmith, 1991; Tollenaar et aI., 1979). Various nonlinear models have been developed to describe the temperature response of developmental processes. These include the crop heat unit (CHU), which assumes that all stages of development are a quadratic function of TMAXL and a linear function of TMINL (Brown and Bootsma, 1993), and methods of Blacklow (1972) and Tollenaar et a1. (1979), which demonstrate a nonlinear response of maize seedling shoot elongation and maize leaf appearance, respectively, to thermal time. Bonhomme et a1. (1994) and Ellis et a1. (1992) also developed nonlinear temperature response functions to fit measured maize development during the vegetative period. The reproductive period (silking to physiological maturity), measured in days, is less variable than the vegetative period (Derieux and Bonhomme, 1982b); therefore, temperature response studies have focused on the vegetative period (e.g., Bonhomme et a1., 1994). However, thermal-time concepts, such as the GDD and CHU, have been less useful for the reproductive period, because thermal time required for specific genotypes to reach maturity has been found to vary with the thermal environment (represented by mean daily air temperature) (Major et aI., 1983; Plett, 1992). Our objective was to quantify maize temperature response during both vegetative and reproductive periods for hybrids representing 75 to 115 d relative maturity grown at locations from 39° to 48°N latitude and, based on these fitted temperature response functions, present a general thermal index to improve on the predictive accuracy of existing thermal indices. MATERIALS AND METHODS Field measurements were obtained on 28 Pioneer maize hybrids at 19 locations in the north-central and northeastern USA and southern Ontario from 1992 to 1995 (Table 1). Hybrids used in this study were rated from 2400 to 3400 CHU, or 75 to 117 d relative maturity based on the Minnesota Relative Rating System (Peterson and Hicks, 1973). Planting, silking (50% of plants with silk), and maturity (50% of plants at 100% milk line) dates were recorded based on observations taken a minimum of three times weekly on the center rows of fourrow plots replicated four times. Daily maximum and minimum air temperatures were measured at each location from planting to maturity. Hybrid data were divided into four groups, based on heat unit requirements (Table 2). Tollenaar and Bruulsema (1988) reported on a growth room experiment to measure the length of the grain filling period for two hybrids under a range of temperature treatments. In that study, plants were grown in 22.5-L pots filled with baked montmorillonite throughout grain filling at 28/18, 21/15 and Table 1. Site descriptions and maize hybrids in the 19·1ocatioD, 4-yr (1992-1995) data set. Location 1. ClImIUton, MO Z. Sbelbyville, IL 3. Champaign, IL 4. Macomb,IL 5. WindfaU, IN 6. York, NE 7. North Platte, NE 8. Princeton, IL 9. Johnston, IA 10. Marion, IA 11. Huron, SD tz. J mesville, WI 13. Algoma, IA 14. Woodstock, ON 15. Ithaca, MI 16. Mankato, MN 17. Willmar, MN 18. Moorhead, MN 19. Grand Forks, ND Geographic coordinates 39"22' N, 94°49' W 39"43' N, 89"6' W 39"59' N, 88°15' W 40"22' N, 9O"JO' W 40"22' N, SS056' W 40°51' N, 97"32' W 41"8' N, 100"47' W 41"22' N,89"24' W 41°40' N, 93°42' W 42"4' N, 92"34' W 42"22' N, 98"13' W 42°40' N, 88"55' W 43°4' N, 94°14' W 43°17' N, 80"51' W 43°18' N, 84°36' W 44"8' N, 94°1' W 45°14' N, 95"6' W 46°46' N, 99"33' W 48"14' N, 97"Z7' W Hybrid name 3. Pioneer 3489 d 117 116 115 4. Pioneer 3514 5. Pioneer 3525 6. Pioneer 3531 111 110 1. Pioneer 3394 2. Pioneer 3417 7. Pioneer 3556 8. 9. 10. 11. tz. 13. 14. 15. 16. 17. 18. 19. 20. Zl. 22. 23. 24. 25. Z6. 27. :zs. t MRMR, Minnesota relative maturity rating (Peterson and Hicks, 1973). MRMRt Pioneer 3563 Pioueer 3733 Pioneer 3751 Pioneer 3752 Pioneer 3769 Pioneer 3787 Pioneer 3790 Pioneer 3845 Pioneer 3861 Pioueer 3876 Pioneer 3893 Pioueer 3902 Pioneer 3905 Pioneer 3907 Pioneer 392.1 Pioneer 3947 Pioneer 3962 Pioueer .3963 Pioneer 3979 Pioneer 3982 Pioneer 3984 III 109 107 102 98 98 9lI 95 95 91 93 90 89 87 87 87 86 79 80 79 76 75 75 STEWART ET AL.: PHENOLOGICAL TEMPERATURE RESPONSE OF MAIZE l6/1O° day/night temperatures, or at 28/18°C for 6 d followed by 1412°C for the remainder of the filling period, or at 14/2°C for 6 d followed by 281l8°C. Photoperiod was 16 h and light intensity was 430 /-Lmo! m- 2 S-I at the top of the canopy. Due to the limited height of the growth room, plants were trimmed so that only two leaves remained above the ear. Development and temperature data from this experiment were also analyzed. Analysis Growing degree days with maximum (TMAXL) and minimum (TMINL) temperature limits of 30 and 10°C, respectively (i.e., ODDl(I,1(1) (Cross and Zuber, 1972; Gilmore and Rogers, 1(58). can be expressed as GDD 3o.,o " =L (n - 10) t:.t [1] j=1 where TX is the average of daily maximum (:5TMAXL) and minimum (~TMINL) temperatures. The expression TX - 10 is the temperature response function in growing degree days per day (or simply °C), and t:.{ is a time step in days. When weather station data were used to calculate GDD, maximum daily temperatures were set equal to TMAXL when they exceeded TMAXL, and minimum daily temperatures were set equal to TMINL when they were less than TMINL For the rare occasions when maximum temperatures were less than TMINL, they were set to TMINL; when minimum temperatures exceeded TMAXL, they were set equal to TMAXL Setting temperatures equal to maximum and minimum limits W,IS proposed by Gilmore and Rogers (1958) to improve the sensitivity of GDD to temperatures outside the threshold limits. To avoid temperature limits, a more general thermal index (GTI, in°C) was described as GTI = L Fr t:.t [2] j=l where FT is a temperature response function representing the rale of phenological development in modified growing degree days per day (or simply modified growing degrees at a given average daily temperature), t:.{ is a time step in days, and n is the number of days in a period (e.g., from planting to silking or silking to maturity) for any location and year. The general thermal index (GTI) was expressed as a cubic polynomial temperature function (F r ): Fr = n Bo + B 1 + B2 n [3] where TA is the average daily temperature and Bu, Bi> and B2 are empirical coefficients. In this application, it was assumed that when TA = 0, the slope of F r is also zero. Thus, Eq. [3] does not have a linear term and has one less coefficient than the normal cubic polynomial. The GTI avoids confusion generated by temperature limits by being continuous from DOC and fable 2. Characterization of four hybrid groups of maize, num· bered from highest to lowest relative maturity ratings. HIhrid group Hybrids included Location· years Mean thermal timet Vegetath'e no. 5 5 5 13 Reproductive GOD",,,·, 146 115 69 109 748 710 651 595 669 631 588 525 t Grol\ing degree days with threshold limits of 30°C (maximum) and llIoe (minimum). 75 using an average daily temperature (TA ). For weather station data, this was the sum of the daily maximum and minimum temperatures divided by two. For the growth room data, however, day and night temperatures replaced daily maximum and minimum temperatures. Since a 16-h photoperiod was used, a weighted average daily temperature was calculated by multiplying the day temperature by 2, adding the night temperature, and dividing by 3. This better represented the square wave temperature pattern of the growth room than did a simple average of the day and night temperatures. When the night temperature was 2°C, it was set equal to TMINL (10°C) to calculate GDD. In order that GTI should have the same approximate numerical range as ODDJtl.l ro , average values of ODD,tl.!o were calculated for each hybrid from planting to silking and silking to maturity for all location-years. Values of B ro , BI> and B , that minimized the squares of the differences between these average values of ODD Jo,o and values generated by Eq. [3] for individual hybrid-location-year data sets were calculated by least squares, using Marquardt's algorithm (Marquardt, 1963). Because GTI and ODD have near-equal numerical values, units of FT are inoC and are called modified growing degrees. One of the methods to evaluate the GTI was a coefficient of variation (CV). The reliability of a thermal index is determined by its constancy across years and locations but not across hybrids, since the index is to be used to characterize the thermal requirements of individual hybrids. Therefore, a mean variance was calculated by summing the squares of the differences between OTIs for individual hybrids for each location, year, and phenological period, and hybrid means for each period averaged over all locations and years. The square root of the mean variance for all locations and years divided by the overall mean was the CV for the phenological period. A similar CV was calculated for thermal time estimated by GDD,o.!o and for actual time in recorded days. The OTI and GDD''-'.J(J were used to calculate time in days from planting to silking aDd from silking to maturity and these calculated days were compared with recorded days. A root mean square error was calculated between recorded time in days and time in days estimated from GTI and GDD,,,III calculations. Then the entire data set (Set A) was divided into two subsets by selecting alternate years: Set B included all odd-numbered years, Set C, all even-numbered years. Coefficients were calculated for Sets Band C and then tested against each other, using CVs and standard errors. RESULTS AND DISCUSSION For the vegetative period (planting to silking), the response function for the four hybrid groupings were sigmoid-type curves (Fig. 1). The coefficient BII was never significantly different from zero, and Eg. [3] for this period reduced to Fr = BIn + B 2n [4] These response curves were similar to those measured by Ellis et al. (1992) on maize hybrids under controlled environment conditions. Their data were fit to a l3-function by Yin et a!. (1995). Beta functions are nonsymmetric and rise from an initial temperature to a maximum function value and then decline to a maximum endpoint temperature. The main difference between the GTI (Eq. [4]) and the l3-function occurred at low temperatures, as the GTI temperature response increased 76 AGRONOMY JOURNAL, VOL. 90, JANUARY-FEBRUARY 1998 20...------------------------, pressed FT as a function of T M . Since the differential of Eq. [4] was equal to zero when T A = TNt. we expressed B2 as o B2 ~15 .2 U = -0.667 B,/TM [5] Substituting B 2 into Eq. [4] results in c: :> LL FT :l c: ~10 ~ e :> ! -Group 1 a. e" --- Group 2 - -Group 3 --'Group4 {!!. 5 0+-...:::::..-,-----.----,.-----,---...,----,.----1 o 5 10 15 20 25 30 35 Mean Daily Temperature (e) Fig. I. Temperature response function (FT , Eq. [4]) of four maize hybrid groups for the planting to silking period. slowly as temperatures rose above zero, but the (3-function increased abruptly from a minimum temperature of about 100e. Both GTI and the (3-function increase to a maximum and then decrease, while GDD 30.10 rises linearly from 10 to 30°C with a slope of 1 and then is constant (Fig. 2). The bulk of the empirical evidence indicates that phenological temperature response functions for the vegetative period are sigmoidal (Shaykewich, 1995). In the present study, the hybrid groups with greater relative maturity ratings tended to have higher maximum values of FT , which occurred at greater values of T A (Fig. 1), although this pattern was not followed by Hybrid Group 4 (the group with the largest number of hybrids) (Table 2). The average daily air temperature at a maximum value of FT is T M • To determine if hybrid differences in TM were significant (P :5 0.05), we ex- = B1 n (1 - 0.667TA /TM ) [6] When T M and its standard error were solved for, no significant differences in T~, were found between the groups (P > 0.05; data not shown), This was not surprising, since only a small fraction of average daily temperatures were greater than 30°C (Fig. 3). There were only small differences in the functions between 10 and 25°C, where the bulk of the mean temperatures fell. Thus, a single average FT function represented the vegetative period (Fig. 2; Table 3). The GTI for all hybrid groups combined had important differences from GDD 311 ,lo (Fig. 2). The GTI was more responsive than GDD 30,Io to T A below 10°C, but was not as responsive as GDD 311 ,IfI when T A was above 20°e. Others have noted that 30 and 10°C are not the most appropriate temperature limits for maize phenological development (e.g., Ritchie and Nesmith, 1991). However, even in the temperature range within which vegetative temperature response function described by GTI is linear, the slope of the line is about 0.64, compared with 1.0 for GDD 30 ,Io (Fig. 2). That is, GTI has a zero slope (the slope equals the phenological response per 1°C air temperature) at oDe, rises to a maximum of 0.64 at about 15°C, and then falls to zero at 30°e. In contrast, GDD 30. IO has a constant slope of one phenological unit per 1°C between 10 and 30°C and zero slope above and below these limits. When GTI was fit to hybrid group data from silking to maturity (Fig. 4), the y-intercept (B o) was significantly greater than zero, and the overall function was much flatter than the function for the planting to silking period (Fig. 1). There were no significant differences between 20,----------------------:;, 50 45 CJ Planting to Silking o 40 o :;:: 35 Silking to Maturity ~15 " c: .. :> LL , ~30 ~ >. "c: ...e~ 25 ~10 ~ e ~ LL /,/// . a. e 20 15 ~ 5 / ,,/' 10 / ,,/' "" o-f-"""""=----,-----f'-----,.---..,.-----,.-----! o 10 15 20 25 30 Mean Daily Temperature (C) Fig. 2. Comparison of the temperature response functions (FT ) for GTI (solid line) and GDDJ\l,'O (broken line) for the planting to silking period in maize. o 0-5 n~ 5-10 IiJ 10-15 15-20 20-25 25-30 I 30-35 Temperature Range (e) Fig. 3. Frequency distribution of average daily air temperatures during the vegetative (planting to silking) and reproductive (silking to maturity) periods of maize. 77 STEWART ET AL.: PHENOLOGICAL TEMPERATURE RESPONSE OF MAIZE r Table 3. Coefficients and standard errors (in parentheses) of the polynomials from planting to silldng (P-S) (Eq. 4]) a.nd from silking to maturity (S-M) (Eq. [3]) of maize, for the entire data set (Set A) and for subsets with odd-numbered (Set B) and even-numbered (Set C) years. Data ,et Developmental period B, P-S S-M P-S S-M P-S S-M .\ R C H, HI 0.043177 0.011178 0.042184 0.011638 0.044180 0.011355 5.3581 (0.181) 5.1313 (0.247) 5.3363 (0.268) hybrid groups, as the function fitted to each group had a similar shape and there were no significant differences in any of the coefficients (P > 0.05; data not shown). As with the planting to silking function, there were nly smaJl differences in the silking to maturity group functions in the 10 to 25°e ranges, where the bulk of the temperatures occurred (Fig. 3). Again, a single function could represent all the data (Fig. 5; Table 3). As was the case for the vegetative period, GTI was much less responsive to T A above 20°e. In addition, FT for the reproductive period had a positive y-intercept and showed a relatively flat response to mean daily I mperatures from 0 to 12°e, rising significantly only with temperatures greater than this range (Fig. 5). Although this response was very different from that fitted to vegetative period data and from that assumed by GDD'OIIi' it appeared to be consistent for the reproduclive period across both field and controlled environment nditions. Fitting the growth chamber data of Tollenaar and Bruulsema (1988) produced a function of simihlr shape (Fig. 5). It should be noted that in the growth chamber study, one of the treatments was a day/night temperature regime of 14/2°e, yet grain filling was completed in a reasonable time. This provides further evidence that development continues during the reproductive period at or below lO°e. We did try to modify Eq. [ ] to bend the function at low temperatures (0-10°e) to force it through the origin, with no improvement in (0.00082) (0.00044) (0.00109) (0.00061) (0.00121) (0.00066) -0.000894 (0.0000386) -0.000848 (0.0000514) -0.000940 (0.0000569) the fit (data not shown). This could be in part due to a lack of temperature data below lOoe (Fig. 3). However, Eq. [3] with the coefficients listed in Table 3 estimates significant phenological development below lOoe for the silking to maturity period. The relatively small standard error of Btl (Table 3) and the agreement with growth chamber data of Tollenaar and Bruulsema (1988) suggest that development occurs at these Jow temperatures, and that this part of the function contributes to the improvement of GTI over GDD 3u.,o . The shape of the function for the reproductive period was the most puzzling aspect of this study. By choosing the third-order polynomial, we were essentially letting the least squares procedure determine the optimum shape, and the best fit had a y-intercept that was significantly different from zero and indicated substantial phenological development below lO°e. An earlier attempt to improve on GD0 3o .,o by lowering the value ofTMINL improved the GOO calculations, but not to the level of GTI (data not shown). Low-temperature development may be a phenomenon of northern locations, where low temperatures and frost occur during reproductive development and affect end-point calculations. That is, when temperatures fall below lOoe, GDD'Ii.lll additions per day are very small or zero, making it difficult to calculate an exact end-of-period date. The GTI calcu20..-----------------------, 20..----------------------, 0- ~15 o 0" -; 15 ..-:: .2 ;; ,oj . < /. .."'" u. / c o ~10 / ~ nc ~ j, .. / e .--:/ ~ / [ e :. 5 "-- Group2 - -Group 3 -_·Group 4 0+----..----1----...---,------.------1 o 5 10 15 20 25 5 10 15 20 25 30 Mean Dally Temperature (C) O+----r-----;,-----,------r---~--_t o ,>//:,/ ---- -Group 1 - 30 Mean Daily Temperature (e) Fig. 4. Temperature response function (Fy, Eq. [3]) of four maize hybrid groups for the silking to maturity period. Fig. 5. Comparison of temperature response functions (ET ) for GTl (solid line) of maize, using field dat.a, and GDDJO.'o (dotted line) and GTl (dashed line), using growth room data of Tollenaar and Brunlsema (1988), for the silking to maturity period. 78 AGRONOMY JOURNAL. VOL 90, JANUARY-FEBRUARY [990 Table 4. Goodness of estimate of days required from planting to silking (P-S) and from silking to maturity (5-M) of maize, using actual days, growing degree da)'s (GDD3(I,lo), and the general thermal index (GTI) to estimate development based on coefficients of variation or standard errors of est'imate. Goodness of esomate Developmental period GTI:r. Data set Da)'s GDD.l.tl.lf,·j- P-S S-M P-S S-M P-S S-M A A 0.091 0.117 0,092 0.105 0.087 0.113 0.056 0.109 0.053 0.104 0-058 0.110 P-S S-M P-M P-S S-M P-M P-S S-M P-M A A A Dependent Independent Coefficient of variation B B C C B B B C C C 3.56 12.14 13.56 3.28 12.18 13.51 3.69 11.80 13.39 0.047 0.077 0,045 0.072 0.047 0.077 Standard error of estimate, d 3.04 5.86 6.95 2.88 5.96 6.84 3.05 5.88 6.85 0,045 0.071 0.049 0.077 2.82 5.67 6.56 3.14 5.88 6.97 t Growing degree da)'s with threshold limits of 30·C (maximum) and IO·C (minimum). :;: GTI calculations used the enOre data set (Set A) to determine coefficients and then fit the same data set using those coefficients (dependent), or used data subsets (Set B, odd-numbered years. and Set C, even-numbered years) to determine coefficients and then fit the same data set (dependent) or alternate dala set (independent) from thai used to determine coefficients. lated development at temperatures too low to accumulate GDD, and reduced uncertainty associated with endpoint date. Comparison of CVs and standard errors indicates that the GTI using the coefficient values listed in Table 3 improved estimation of development rate over GDD 30,lfI (Table 4). Coefficients of variation for the total planting to maturity period were reduced by 35% and standard errors in estimating maturity dates were reduced by 50% when GTI rather than GDD 30 ,lfI was used. The greatest improvement occurred from silking to maturity when the standard error of estimating maturity was reduced from 12.5 d using GDD111,1O to 5.8 d using GTI. Note that CVs show GDD111,10 was only marginally better than days for this period. Dividing the data into two subsets had little effect on the results. Coefficients for each set did not differ significantly (P > 0.05) from each other, nor from coefficients calculated from the combined data set (Table 3). As well, when the coefficients from one set were tested against the other, CVs were almost identical and standard errors were only slightly larger in one of the data sets (Table 4, Set C). Standard errors for GTI using independent data were much smaller than for GDD.lO . lO • Thus, the GTI function was stable under independent testing. This was expected, since only two coefficients were solved for, per equation, using more than 430 data points, which resulted in more than 200 degrees of freedom for each test. As well, dividing the data into four groups based on hybrid maturity and calculating similar coefficients for each group was further evidence of the stability of the GTI function. In summary, the phenological response to temperature was sigmoidal from planting to silking, but was much more flat from silking to maturity. Functions for both periods had markedly different forms than GDD 3U •IO ' The significance of the temperature insensitivity of reproductive development from 0 to 12°C for any location-year will depend on the distribution of average daily air temperatures during the reproductive period. The GTI calculated faster development rates for days with cool temperatures (which typically occur near the end of the growing season) than did GDD'l1lO' The fact that this function accounted for the influence of low temperatures on development was important to its better performance in calculating maturity dates. These results suggest that incorporation of actual temperature response functions could significantly improve the performance of heat unit systems used to compare hybrid maturity. ACKNOWLEDGMENTS The authors wish to thank B. Wilson. D. Balchin. and L. Evenson for technical assistance with data collection and data analysis. V. Puskaric provided helpful advice and technical assistance at the Pioneer Hi-Bred Research Station at Woodstock, ON. Pioneer Hi-Bred International contributed financial support and data to this study. REFERENCES Baron, Y., c.F. Shaykewich, and R.I. Hamilton. 1975. Relation of corn maturity to climatic parameters, Can. J. Soil Sci. 55:343-347. Blacklow. W.M. 1972. Int1uence of temperature on germination and elongation of the radicle and shoot of com (Zea mays L.). Crop Sci. 12:647-650. Bonhomme, R.. M. Derieux, and G.O. Edmeadcs. 1994. Flowering of diver~e maizc cultivars in relation to temperature and photoperiod in multilocation fjdd trials. Crop Sci. 34:156-1M. Brown, D.M., and A. Bootsma. 1993. Crop heat units for corn and other warm season crops in Ontario. Ont. Minis!. Agric. Food FactsheeL, Agdex 111/31, ISSN no. 0225-7882. Ontario Ministry oj Agriculture and Food. Queen's Park, ON. CARR ET AL.: FORAGE AND NITROGEN YIELD OF BARLEY-PEA AND OAT-PEA INTERCROPS H.Z., and M.S. Zuber. 1972. Prediction of flowering dates in maiz based on different methods of estimating thermal units. Agron. J. 64:351-355. 1)c:ri~ux. M., and R Bonhomme. 1982a. Heat unit requirements for m izl': hybrids in Europe. Results from the European FAO subnetwork: I. Sowing to silking period. Matautu 27:59-77. Dc:ric:lIX, M., and R Bonhomme. J 982b. Heat unit requirements for maize hybrids in Europe. Results from the European FAO subndwork: II. Period from silking to maturity. Matautu 27:79-96. Ellis, R.H., RJ. Summerfield, G.O. Edmeades, and E.H. Roberts. 1992. Photoperiod, temperature and the interval from sowing to tassel initiation in diverse cultivars of maize. Crop Sci. 32: 1225-1232. Gilmore, E.C.. Jr., and J.S. Rogers. J 958. Heat units as a method of measuring maturity in corn. Agron. J. 50:611-615. Hlluges. T 1991. Temperature and water stress effects on phenology. p. 7-13.111 T Hodges (ed.) Predicting crop phenology. CRC Press, Boca Raton, FL. , I~jnr. OJ., O.M. Brown, A. Bootsma, G. Dupuis, N.A. Fairey. E.A. Grant et al. 1983. An evaluation of the corn heat unit system for the short-season growing regions across Canada. Can. J. Plant Sci. 63:121-130. \I.trquardt. D.W. 1963. An algorithm for least squares estimation of non-linear parameters. J. Soc. Ind. App!. Math. 11:431-441. CfllSS, 79 Peterson, R.H .. and D.R. Hic '. 1973. Minnesota relative maturity rating of corn hybrids. Agron. no. 27. Univ. of Minn. Agric. Ext. Scrv., St. Paul. Plett, S. 1992. Comparison of seasonal thermal indices for measurement of corn maturity in a prairie environment. Can. J. Plant Sci. 72:1157-1162. Ritchie, S.W., JJ. Hanway, and W.G. Duncan. 1993. How a corn plant develops. Rev. ed. Iowa State Univ. Coop. Ext. Servo Spec. Rep. 48. Ritchie, J.T., and D.S. Nesmith. 1991. Temperature and crop development. p. 5-29. In J. Hanks and J.T. Ritchie (ed.) Modeling plant and soil systems. Agron. Monogr. 31. ASA. CSSA and SSSA. Madison, WI. Shaykewich, C.F. 1995. An appraisal of cereal crop phenology modelling. Can. J. Plant Sci. 75:329-341. Tollenaar. M., and Bruulsema. 1988. Effects of temperature and duration of kernel dry matter accumulation of maize. Can. 1. Plant Sci. 68:935-940. Tollenaar. M., TB. Daynard, and R.B. Hunter. 1979. Effect of temperature on rate of leaf appearance and flowering date in maize. Crop Sci. 19:363-366. Yin. X., MJ. Kropff, G. McLaren, and RM. Visperas. 1995. A nonlinear model for crop development as a function of temperature. Agrie. For. Meteoro!. 77:1-16. Forage and Nitrogen Yield of Barley-Pea and Oat-Pea Intercrops Patrick M. Carr,t.' Glenn B. Martin, Joel S. Caton, and W. W. Poland ABSTRACT Barley (Hordeum vulgare L.) and oat (A vena sativa L.) have heen in.tercropped with field pea [Pisum sativum subsp. sativum \·ar. un·el1.l·e (L.)Poir.] to increase forage yield and quality. Our objective lIas to enluate the effects of two barley and two oat cultivars and seeding rates of cereal-pea intercrop on forage production, crude protein (CP) concentration, and N yield. A field experiment was rnnduded in 1993 and 1994 under dryland management in both fa.lluwed and continuously cropped, no-tillage environments. 'Bowman' and 'Horsford' barley, and 'Dumont' and 'Magnum' oat, were each sown lit 93, 185, and 278 kernels m- l with 'Trapper' pea at 40, 80, and 120 seeds m- l , in all possible rate combinations. The cereal cultilars also were sown alone at 185 kernels m- l • Cultivars de\-eloped fur forage production (Horsford, Magnum) produced as much or more forage than cultivars developed for grain production (Bowman, Dumont) across sole-crop and intercrop plots (P :5 0.05). Forage yield was unaffected by intercropping when the cereal crop was sown at the sole-crop or greater rate. Less forage was produced by intercrops w'hen the cereal component was sown at half the sole-crop rate. Forage yield was not affected by the pea seeding rate, but CP concentration increased with increasing seeding rate of pea in three of four environment-~'ears. Forage N yield was unaffected by intercropping. These dala indicate that lhe cereal component in barley-pea and oat-pea midures should be sown at a sole-crop or greater seeding rate for maximum forage production. Forage CP concentration can be increased as the relative proportion of pea seed to cereal kernels sown in a mixture is increased, but forage N yield may not be affected, ,ince the cereal component contributes more to yield than the pea cumponent. P.M. Carr. G.B. Martin, and W.W. Poland, North Dakota State Univ., Dickinson Res. & Ext Ctr., 1089 Stale Ave., Dickinson. NO 5860]: J.S. Caton. Dep. of Animal and Range Sci., North Dakota State Univ., 1.lrgo. ND 58105. Contribution from the North Dakota Agric. Exp. tp. Received 20 Feb. 1997. "Corresponding author (pat_carr@ J,u l.dsu.nodak.edu). Published in Agron. J. 90:79-84 (1998). B are intercropped with pea for forage. Intercropping pea with oat increases protein content of haylage compared with growing oat alone (Droushiotis, 1989; Robinson, 1960; Walton, 1975). Some studies revealed that intercropping oat with pea increased yield of haylage (Robinson, 1960), but other studies did not (Walton, 1975). Similarly, intercropping pea with barley has increased dry matter production in some instances (Chapko et aI., 1991), but not in others (Izaurralde et at., 1990). Seeding rates for the component crops in cereal-pea mixtures generally are less than when either the cereal crop or pea is sown alone. Carter and Larson (1964) reduced the cereal seeding rate by 38% and the pea rate by 33% compared with a sole crop when oat was intercropped with pea. Seeding rates of both oat and pea were reduced by at least 20% in cereal-pea intercrop evaluated by Droushiotis (1989). Work done by Izaurralde et at. (1990) suggested that no yield advantage resulted when barley and pea were intercropped at a sole-crop rate compared with lower rates in barley-pea mixtures; however, N yield was increased by intercropping when both barley and pea were sown at more than half the sole-crop rate. When intercropping barley or oat with pea, cultivar selection was not as important a consideration as choosing which cereal crop to grow when intercropping barley or oat with pea as a companion crop for alfalfa (Medicago sativa L.) establishment (Chapko et a!., 1991). Oat-pea mixtures were preferred over barley-pea mixtures on the basis offorage quality, although barley-pea mixtures generally produced more forage. The interaction between cultivar selection and the rate at which ARLEY AND OAT Abbreviations: CP, crude protein.
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