EFFECTS OF DORMANT SEASON GRAZING ON HERBAGE PRODUCTION AND PLANT GROWTH. Sciences Department, NDSU, Fargo. NDSU, Hettinger, ND

Size: px
Start display at page:

Download "EFFECTS OF DORMANT SEASON GRAZING ON HERBAGE PRODUCTION AND PLANT GROWTH. Sciences Department, NDSU, Fargo. NDSU, Hettinger, ND"

Transcription

1 EFFECTS OF DORMANT SEASON GRAZING ON HERBAGE PRODUCTION AND PLANT GROWTH Kristy-Lyne Nelson 1, Kevin Sedivec 1, Jckie Olson 2, Mitch Fulkner 3, Tim Fller 4, Christopher Schuer 4 1 Grdute Student, Stte Extension Rngelnd Specilist, Animl nd Rnge Sciences Deprtment, NDSU, Frgo 2 Assistnt Professor of Agriculture, Dickinson Stte University, Dickinson, ND 3 Rnge Specilist, Nturl Resource Conservtion Service, Lincoln, NE 4 Director, nd Post-Doc Reserch Associte, Hettinger Reserch Extension Center, NDSU, Hettinger, ND Impct Sttement Preliminry dt indicted tht rief erly summer use of dormnt-seson pstures nd winter stocking rtes intended to chieve 5% utiliztion of stnding oveground iomss or 5% winter utiliztion of stnding oveground iomss hs similr or positive impcts on forge production nd plnt growth thn sesonlong grzing or 3% winter utiliztion with no summer use. Introduction Winter, or dormnt-seson grzing, is prcticed y mny North nd South Dkot livestock producers in n effort to lower winter feed costs. Dormnt-seson grzing, while not n exclusive winter-grzing period, is defined s grzing during tht time period etween plnt quiescence in lte fll nd green up in erly spring. Although dequte informtion exists regrding nutritionl mngement of winter grzing cttle, little is known out the ecologicl effects of these prctices on rnge or psture lnd in the upper Midwest nd northern Gret Plins. Furthermore, reserch emphsizing inferences for specific winter-grzing mngement is lcking. Vrious spects of dormnt-seson grzing hve een exmined in vriety of ecosystem types, nd conventionl wisdom dicttes tht defolition during winter months while plnts re dormnt hs little to no effect on plnt vigor (Riesterer et l. 2). Vllentine (21) stted tht determining when to hrvest stnding forge is dependent on plnt fctors, physicl site fctors, niml fctors, nd economic nd mngement fctors. Determining the effectiveness nd prcticlity of dormnt-seson grzing requires ssessing mngement prctices to ddress these four points. Reserch is undnt regrding the effects of grzing nd clipping on rngelnd condition nd productivity, niml production, nd economics during the growing seson, yet insufficient informtion exists regrding the effects of such prctices during the dormnt seson. Furthermore, with the implementtion of new grzing mngement techniques tht include seson-of-use chnges, differences in economic return, plnt growth nd vigor, nd susequent plnt-species composition cn e expected.

2 Winter grzing is n ppeling mngement option to mny rnchers. Producing hy or purchsing winter feeds is lor nd cpitl intensive, while winter grzing offers the potentil for flexiility in mking mngement decisions. Furthermore, this prctice llows for more efficient utiliztion of rnge resources. The ojectives of this study were to determine the impcts of winter grzing on herge production, growth rte of dominnt grss species (short-term), nd chnges in plnt species composition using vrious levels nd comintions of winter nd summer use (long-term susequent reserch). Study Are This study ws locted in Adms County, North Dkot nd Perkins County, South Dkot. The Adms County study site ws pproximtely 62 h nd locted 8 km southwest of Hettinger, North Dkot (El. 817m) on sections 16, T129N, R96W nd 25, R97W, T129N. The Perkins County study site ws pproximtely 58 h nd locted 25 km south of Lodgepole, South Dkot (El. 83m) on sections 13, T19N, R12E, nd 18, T19N, R13E. Climte Western North nd South Dkot re chrcterized y continentl, cool temperte, semi-rid climte with wrm summers nd cold winters. Averge nnul precipittion is out 41 cm/yr ner Hettinger, North Dkot nd Lodgepole, South Dkot (Oweny nd Enzell 1992). Approximtely 7% of the precipittion t oth loctions occurs during the growing seson occurring from April through erly Octoer. The study loctions receive frost-free d/yr (Omodt et l. 1968) with the wrmest month, July, verging 22º Celsius. Jnury is the coldest month with n verge temperture of 8º Celsius (Owensy nd Ezell 1992). Growing-seson precipittion ws 28.6 cm in 2, which ws 7.6 cm elow the nnul verge, with ll months except My nd July elow verge during the growing seson. The 21 growing seson ws chrcterized s dry spring nd wet July, with verge precipittion 4. cm elow the 3-yer verge. The fll nd winter of 2-1 received ove verge precipittion, however the fll nd winter of 21-2 received considerly less precipittion, prticulrly in Novemer nd Decemer. In 22, growing-seson precipittion ws cm, which ws 2.42 cm elow the nnul verge. All growing seson months were elow verge. Less-thn-verge precipittion ws received in Novemer nd Decemer of 22. Growing-seson precipittion received in 23 ws 6.68 cm elow the 3-yer verge, with only the months of My nd Septemer receiving ove verge precipittion during the growing seson. During the 24 growing seson, precipittion ws 11.6 cm elow the 3-yer verge. Only the months of July md Octoer were ove verge precipittion. Monthly verge tempertures were generlly ove the 3-yer verge in 2, with the exception of June, Novemer, nd Decemer. Wrmer-thn-verge tempertures chrcterized the winter of 21-22, s Novemer nd Decemer 21 nd Jnury nd Ferury 22 were sustntilly wrmer thn the 3-yer verge. The winter of lso hd wrmer-thn-verge tempertures compred to the 3-yer verge.

3 Spring nd summer tempertures were ner verge for ll four yers. The winter of 23-24, nd the 24 growing seson were chrcterized y wrmer thn verge tempertures. Vegettion The study res were found in the northern mixed-grss pririe nd descried s the Missouri Slope Vegettion Zone (SCS 1984). The plnt communities re descried s whetgrss-needlegrss vegettion type (Brker nd Whitmn 1994). Dominnt midgrss species were western whetgrss nd needle-nd-thred (Stip comt Trin. & Rupr.), nd dominnt short grminoid species were thred-lef sedge (Crex filfoli Nutt.) nd lue grm (Boutelou grcilis; Brker nd Whitmn 1994; Shiflet 1994). Plnt nmes were referenced from McGregor et l. (1986) nd USDA-USFS (22). Uplnds of the study res were represented y shllow ecologicl sites. The soils were modertely corse to modertely fine textured with restricting lyers of shles nd sndstone occurring t depths of 25 to 5 cm elow the soil surfce. This site is comprised of uplnd sedges (Crex spp.), little luestem, lue grm, pririe sndreed (Clmovilf longifoli (Hook.) Scrin. ), western whetgrss, pririe junegrss, fringed sgewort, nd numerous uplnd for species. Averge totl primry production on shllow ecologicl sites in the Dkots vries from 1,35 to 2, kg/h (Sedivec et l. 1991). Midlnd sites on the North nd South Dkot study res were comprised of lomy ecologicl site with well-drined, modertely deep nd medium to fine textured soils. Plnt communites were comprised of western whetgrss, needle-nd-thred, lue grm, Kentucky luegrss (Po prtensis L.), pririe junegrss, chetgrss (Bromus tectorum L.), uplnd sedges (Crex spp.), green needlegrss (Stip viridul Trin.) nd numerous for species. Averge totl primry production on these sites rnge from 1,7 to 3,15 kg/h (Sedivec et l. 1991). Mterils nd Methods Tretments: Two study res (locks) were selected in North nd South Dkot sed on similr rnge condition nd ntive plnt species composition. Ech study re ws locked nd divided into four pddocks with one of four tretments 1) 5% summerutiliztion (seson-long control; SL), 2) 25% summer use for 2 weeks in erly nd mid June nd 5% dormnt-seson utiliztion [flsh grzing (Hrt 21); FL], 3) 3% dormnt-seson utiliztion (DS 3), nd 4) 5% dormnt-seson utiliztion (DS 5) ssigned rndomly to pddock within lock. The SL tretment ws 32 h pddock nd the dormnt-seson-use tretments were ech 9 h pddocks in North Dkot. The South Dkot DS 3 nd SL tretment pddocks ech 12 h; the FL tretment ws 15 h; nd the DS 5 tretment ws 19 h. Stocking Rtes: Stocking rtes for the summer-use tretments were determined using the United Sttes Deprtment of Agriculture (USDA) Nturl Resource Conservtion Service (NRCS) Technicl Guide (21) for the Missouri Slope Vegettion Zone. Summer use pddocks were surveyed for ecologicl site composition using the USDA SCS soil

4 surveys for Adms County, North Dkot (Ulmer 1987) nd Perkins County, South Dkot. (Wiesner 198). The stocking rte for the seson-long grzing tretment ws clculted for 4-month grzing period eginning June 1 nd ending Octoer 1. The North Dkot site ws stocked t.76 h/aum with ten 544 kg cows nd their clves. The South Dkot site ws stocked t.63 h/aum with seven 28 kg spyed heifers (Tle 3). Summer use of the flsh grzing pddocks ws trgeted for 25% utiliztion. The summer-use FL tretment grzing crrying cpcities were clculted y stocking for 5% use of the totl ville AUMs in June while considering tht 5% of the totl nnul production occurred y mid June, thus chieving 25% utiliztion of totl nnul iomss. The North nd South Dkot sites were stocked with ten nd sixteen 544 kg cows nd clves or 1.78 h/aum nd 1.69 h/aum, respectively, for two weeks. Stocking rtes for the winter grzing tretments were clculted fter determining drystnding plnt iomss on 15 Nov. 2. Ten rndomly plced.25m 2 frmes were clipped for ech ecologicl site (n=2) existing within given replicte (n=2). The USDA SCS (Wiesner 198, Ulmer 1987) soil survey mps nd technicl guides were used to estimte ecologicl site composition within ech pddock to clculte totl stnding iomss. Finl stocking rtes for ech tretment were computed y clculting 25% grzing-use efficiency with 5% disppernce (Lycock et l. 1972, Person 1975) nd dry mtter intke for 115 l non-lctting cow using the Beef Ntionl Reserch Council (1996) for eef cttle. The North Dkot DS 5 nd FL grzing tretments were ech stocked with four 544 kg cows, or 1.23 nd 1.22 h/aum, respectively, nd the DS 3 tretment ws stocked with three 544 kg cows, or 1.64 h/aum. The DS 5 tretment ws stocked with 11 cows or 1.2 h/aum, the FL tretment stocked with 8 cows or.95 h/aum, nd the DS 3 tretment stocked with 6 cows, or 1.2 h/aum t the South Dkot site. All South Dkot tretments were stocked with cows weighing n verge of 115 l. Winter grzing cttle were llowed d liitum ccess to white slt nd trce minerls nd were supplemented with 3l/dy on n s-fed sis of 3% crude protein ll-nturl cke. During the winter grzing period of 2-21, cttle grzed s snow cover llowed for 53 dys eginning Novemer 15 on oth the North nd South Dkot study sites. During the dormnt-seson grzing period of 21-22, cttle grzed on the North Dkot site for 53 dys eginning Novemer 15. The cttle on the South Dkot site grzed for 35 dys nd niml numers were incresed to meet set stocking rte guidelines, s turn out ws delyed until Jnury 12 due to mechnicl filures ffecting the wtering system. Cttle were llowed to grze t oth the North Dkot nd South Dkot sites for 53 dys eginning on Novemer 15 during the nd winter grzing period. Tle 1 reports h/aum comprisons of tretments nd percent reduction in crrying cpcities compred to the SL tretment (control). From perspective of utilized AUMs, the dormnt seson only grzing tretments hd reduced crrying cpcities reltive to seson-long use, however, the FL tretment numericlly incresed crrying cpcities slightly reltive to seson-long use (3.2 to 5.3%).

5 Tle 1. Stocking rte comprisons mong grzing tretments in North nd South Dkot. SL FL DS 3 DS 5 N.D. H/AUM % Difference from SL S.D. H/AUM % Difference from SL SL = seson-long summer grzing, FL = 25% summer use for 2 weeks in erly nd mid June nd 5% dormnt seson utiliztion, DS3 = 3% dormnt seson utiliztion, DS5 = 5% dormnt seson utiliztion Herge Disppernce: The degree of disppernce of grminoids nd fors for ech tretment ws determined using pired-plot clipping technique (Milner nd Hughs 1968). Twenty cges were distriuted in ech psture during the tretment period. One plot within nd outside ech cge ws clipped using.25m 2 qudrt. Clipped herge ws seprted into grsses nd fors, dry mtter weights recorded, nd kg/h plnt iomss nd stndrd error of the men clculted for ech ecologicl site. Percent utiliztion nd stndrd errors of the men were clculted for grminoids nd fors comined nd grminoids lone. In the summer through winter periods of 2-21, 5 cges were systemticlly plced on ech of the 2 shllow ecologicl sites nd 2 lomy ecologicl sites efore grzing egn on ech tretment (n=2), with the exception of the South Dkot 3% tretment where only 5 cges were plced on shllow ecologicl site since this site mde up only 1% of the study re on the tretment. During the winter of 21 on the North Dkot sites, 5 plots were clipped for oth the lomy nd shllow ecologicl sites on the 3% tretment, 5 shllow plots were clipped on the 5% tretment, nd no plots were clipped on the FL tretment due to ice nd snow cover. On the summer tretments of 21, the 2 sites within ech psture selected for the tiller study were used to determine utiliztion. In 21-22, 22-23, nd ll plots from the winter grzing tretments were clipped since ice nd snow cover did not prevent clipping s it hd in In My 24, 3 cges were distriuted evenly cross the entire psture, regrdless of ecologicl differences. This creted more representtive smpling of the pstures. Lef Heights: A study exmining lef heights throughout the growing seson ws initited in My of 21 to determine the growth ptterns of western whetgrss, needlend-thred, thred-lef sedge, nd lue grm within ech tretment. The species were selected s they were descried s the predominnt forge se of the study region (Brker nd Whitmn 1994, Shiflet 1994). Furthermore, these species re descried s

6 commonly existing together in vrious successionl stges of rngelnd in western North Dkot (Hnsen nd Hoffmn 1988). Goetz (1963) monitored the growth nd development of ntive rnge plnts in western North Dkot nd used lef height s min indictor of plnt growth. Furthermore, reserchers hve correlted lef nd plnt height with plnt vigor, forge yield, competition, rnge condition nd trend, nd defolition levels (Short nd Woolfolk 1956, Buwi nd Trlic 1977). Twenty loctions indictive of the dominnt forge se were selected rndomly within ech tretment in My 21. On ech loction,.25 m 2 qudrt ws selected contining t lest 1 western whetgrss tillers, 5 needle-nd-thred tillers, 1 thred-lef sedge tillers, nd1 lue grm tillers. Cool-seson tillers were mrked with uniquely-colored rings upon the selection of ech site in mid My nd ech tiller mesured monthly until senescence ws oserved for ech species. Western whetgrss nd needle-nd-thred tillers were mesured mid monthly for lef height (height of tllest lef) from My to August. Thred-lef sedge ws mesured mid monthly for lef height from My to July. Blue grm ws the only wrm-seson grss investigted for growth, thus lef heights were mesured mid monthly during its growth period s descried y Goetz (1964), from June to Septemer. Needle-nd-thred nd thred-lef sedge were not mesured in 22 nd 23 to improve rndom distriution of the plots throughout the four tretments. Thirty loctions were selected in My 24 within ech tretment. On ech loction,.25 m 2 qudrt ws selected contining 1 western whetgrss tillers (cool seson) nd 1 lue grm tillers (wrm seson). Tillers were mrked with uniquely colored rings nd mesured monthly until senescence. Western whetgrss ws mesured from My until August nd lue grm ws mesured from June until Septemer. A generl liner model (GLM) ws used to test for etween-suject effects for tretmenty-dte interctions of lef heights for ech species. When interctions were detected (P.5), tretment y dte comprisons were mde using GLM model to determine differences etween tretments nd dte. When interctions were not detected, dt from ll periods nd replictes were comined nd GLM model ws used to determine differences mong tretments (P.5). Men seprtions were performed t P.5 using Tukey s Honesty Significnt Difference (HSD) procedure (Steele nd Torrie 198; SPSS 199). Results nd Discussion Herge Production: No differences in herge production were found etween loctions (P=.3). Following one yer of tretment, pek primry production on the winter-only tretments were not different (P>.5) thn the SL control tretment (Figure 1). Furthermore, herge production ws higher (P.1) on FL thn SL, DS 3, or DS 5 in 21. In 22, pek primry production on the SL control tretment ws lower (P<.5) thn FL nd DS 5. No differences (P>.5) in pek primry production were found on SL, FL, nd DS 3 following the third yer of tretment; however pek herge production ws lower (P<.5) on DS 5 compred to the other three tretments (Figure 1). In 23, pek primry production ws lower (P<.5) on DS 5 thn SL, FL, or DS

7 3. In 24, oth SL nd FL tretments hd lower (P<.5) pek herge production thn the DS 5 nd 3 tretments. On verge, full use dormnt-seson grzing tretments did not effect herge production, which corresponds with dt reported y Coughenour (1991) who found incresed nitrogen in live nd ded grsses nd fringed sgerush on winter grzed res. Increses in vrious spects of rngelnd productivity under moderte growing-seson grzing use versus light or no grzing use were reported y Mnley et l. (1995). Comprisons of grzed nd ungrzed rnge in Wyoming reveled elevted levels of C nd N in susurfce soil on grzed res. This phenomenon is ttriuted to the reduction of litter nd stnding plnt iomss s these sources immoilize significnt mount of N nd C. Furthermore, incresed niml trffic my enhnce physicl rekdown of residul plnt mteril nd soil incorportion. Likewise, Schcht et l. (1998) oserved tht mowing dormnt rnge of switchgrss, little luestem, nd ig luestem resulted in higher yield of nnul growth thn non-mowed control. Engle et l. (1998) lso reported which grzing strtegies emphsizing defolition during the dormnt seson tht decresed proility of multiple defolitions during the growing seson were less detrimentl thn those tht incresed the proility of multiple defolitions, such s the FL tretment in this study. Relevnt reserch y Auen nd Owensy (1988), Coughenour (1991); Engle et l. (1998), Schcht et l. (1998) nd Reisterer et l. (2) indicte dormnt-seson hrvesting of grsses hd little or no negtive effect on susequent herge production. kg/h f m y g m y fg m x g n x SL FL DS 3% DS 5% Tretment Figure 1. Pek herge production (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormntseson use (DS 5) in 21. Tretments with the sme letter re not significntly different (P>.5). fg Tretments with the sme letter re not significntly different (P>.5). mn Tretments with the sme letter re not significntly different (P>.5). xy Tretments with the sme letter re not significntly different (P>.5).

8 Lef Heights: No differences (P<.5) in western whetgrss lef heights were detected etween tretments for the months of My nd June 21. In July, western whetgrss lef heights in the DS 3 tretment were shorter (P<.5) thn the SL tretment nd in August oth the FL nd DS 3 tretment lef heights were shorter (P<.5) thn the SL tretment (Figure 2). Negtive effects of grzing tretment on lte growing seson plnt production were lso oserved y Trent et l. (1988). Fll grzed winter whet plnts relied on photosynthesis lter in the growing seson thn non-grzed whet plnts, s they were unle to drw from crohydrte reserves during grin filling. Similrly, Buwi nd Trlic (1977) found hevy quiescent defolition of western whetgrss reduced TNC reltive to non-defolited control. Furthermore, moderte nd hevy dormnt defolition of western whetgrss reduced oth herge yield nd plnt height when compred to the control. No difference (P<.5) in western whetgrss lef heights were detected etween tretments for the months of June nd August in 22. In My, lef heights in the SL nd DS 3 tretments were shorter (P<.5) tht the FL tretment. The lef heights in the SL tretment were shorter (P<.5) thn the DS 5 in July (Figure 3). In 23, no differences (P<.5) in western whetgrss lef heights were detected mong ny tretment within ll months (Figure 4). In 24, only July showed no differences (P<.5) in tretments for western whetgrss lef heights. In My, lef heights in the SL nd FL tretments were shorter (P<.5) thn the DS 3 nd DS 5 tretments. The lef heights in the FL tretment were shorter (P<.5) thn the DS 5 in June, nd the SL tretment lef heights shorter (P<.5) thn the DS 5 tretment in June nd August (Figure 5) SL FL DS3 DS5 5 My June July August Month Figure 2. Western whetgrss lef height (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormnt-seson use (DS 5) in 21. Tretments with the sme letter re not significntly different within ech month (P>.5).

9 SL FL DS3 DS5 My June July August Month Figure 3. Western whetgrss lef height (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormnt-seson use (DS 5) in 22. Tretments with the sme letter re not significntly different within ech month (P>.5). Height (cm) SL FL DS3 DS5 5 My June July August Month Figure 4. Western whetgrss lef height (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormnt-seson use (DS 5) in 23. Tretments with the sme letter re not significntly different within ech month (P>.5).

10 Height (cm) c c SL FL DS 3 DS 5 5 My June July August Month Figure 5. Western whetgrss lef height (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormnt-seson use (DS 5) in 24. c Tretments with the sme letter re not significntly different within ech month (P>.5). Light winter use (DS 3) resulted in shorter lef heights thn hevy winter use for needlend-thred, thred-lef sedge, nd lue grm in 21. Light winter use lso resulted in lower needle-nd-thred nd lue grm lef heights thn SL. These dt suggest incresed utiliztion during the dormnt period result in incresed herge yield the following yer. Tretment y dte interctions were not detected (P<.5) for lue grm in 21, thus monthly lef height dt were comined. However, in 22 nd 24 there were tretment y dte interctions (P<.5) in July. No tretment y dte interction ws detected (P<.5) in 23. Blue grm lef heights in 21 were not different (P<.5) etween the SL, FL, nd 5% tretments; however, the SL nd FL tretments were higher (P<.1) thn the DS 3 tretment (Figure 6). In July 22, Blue grm lef heights were shorter (P<.5) in the SL tretment thn the FL nd DS 5 tretments. No differences (P<.5) in lef heights were detected in August nd Septemer (Figure 7). There were no differences found (P<.5) in lue grm lef heights in 23 (Figure 8). In July nd Septemer 24, the SL tretment lue grm lef heights were shorter (P<.5) thn the FL, DS 3, nd DS 5 tretments. In My, the FL tretment lef heights were shorter (P<.5) thn the DS 3 nd DS 5 tretments, nd the SL tretment heights were shorter (P<.5) thn the FL tretment. In August, 24, the SL tretment ws shorter (P<.5) thn the DS 5 tretment (Figure 9).

11 SL FL DS3 DS5 Tretment Figure 6. Blue grm lef height (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormntseson use (DS 5) in 21. Tretments with the sme letter re not significntly different (P>.5) SL FL DS3 DS5 2 July August Septemer Month Figure 7. Blue grm lef height (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormntseson use (DS 5) in 22. Tretments with the sme letter re not significntly different (P>.5).

12 June July August Septemer Month SL FL DS3 DS5 Figure 8. Blue grm lef height (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormntseson use (DS 5) in 23. Tretments with the sme letter re not significntly different (P>.5). Height (cm) c c c c SL FL DS 3 DS June July August Septemer Month Figure 9. Blue grm lef height (men ±S.E.) on the seson-long (SL), June flsh nd 5% dormnt-seson use (FL), 3% dormnt-seson use (DS 3), nd 5% dormntseson use (DS 5) in 24. c Tretments with the sme letter re not significntly different (P>.5).

13 These findings re consistent with the pek herge production oservtions nd studies y Coughenour (1991) nd Mnley et l. (1995) who reported positive effects on herge production with incresed levels of herge removl during the dormnt seson. If dormnt-seson defolition is not detrimentl to needle-nd-thred, lue grm, nd thred-lef sedge, removl of stnding-ded plnt mteril nd the corresponding reduction in litter on the soil surfce my e importnt to susequent herge production nd plnt growth. Removl of stnding ded plnt mteril hs een reported to elevte soil tempertures, thus ccelerting decomposition nd minerliztion in the spring. Furthermore, nutrient turnover rtes re ccelerted under grzed systems y returning minerl nitrogen to the soil in redily decomposle form, therey ypssing slower plnt litter decomposition pthwys (Coughenour 1991). Summry During the months of My through Novemer in 2, sesonl forge vilility declined considerly etween the time of pek production nd the eginning of the winter grzing seson. Considering these losses, stockpiling of forge throughout the growing seson for use in lte fll or winter results in lost herge production potentil. Furthermore, AUMs/h for winter-only grzing res were severely reduced reltive to seson-long grzing use. Incorporting rief erly-summer grzing period on winter pstures cn increse lnd use nd reduce economic loses y incresing stocking rtes (AUMS/h). From n ecologicl nd lnd-use efficiency perspective, dormnt-seson grzing system tht incorportes moderte erly summer use comined with winter stocking rtes utilizing 5% of the stnding plnt iomss or winter stocking rtes utilizing 5 % of the stnding iomss lone. These methods yielded greter herge production thn other tretments nd resulted in greter needle-nd thred nd thred-lef sedge lef heights thn the seson-long or DS 3 grzing tretments. This method reduced western whetgrss lef heights lte in the growing seson in 21, however, western whetgrss nd lue grm lef heights were not ffected in 22, 23 nd 24 compred to summer grzing lone or n increse s seen in the 24 5 % dormnt seson grzing lonr tretment. If the conclusion is mde tht dormnt-seson defolition hs little effect on these grsses, limiting litter ccumultion on stockpiled pstures y ensuring t lest moderte utiliztion (5%) of stnding plnt iomss my positively ffect susequent herge production. Furthermore, SL grzing my hve more negtive ffect on needle-nd-thred, thred-lef sedge, western whetgrss, nd lue grm growth thn winter use t higher (5%) utiliztion levels. The direct effects of dormnt-seson grzing on individul plnt species versus conventionl SL use, t present, is undistinguished in relevnt literture. This reserch indictes western whetgrss nd lue grm were generlly unffected y dormnt-seson grzing or enefitted. Literture Cited Auen, L.M. nd C.E. Owensy Effects of dormnt-seson herge removl on Flint hills rngelnd. J. Rnge Mnge. 41:

14 Brker, W.T. nd W.C. Whitmn Rngelnd cover types of the northern Gret Plins. In: Shiflets, T.N., Rngelnd cover types of the United Sttes. Soc. for Rnge Mnge., Denver, CO. 154pp. Buwi, M. nd M.J. Trlic Multiple defolition effects on herge yield, vigor, nd totl nonstructurl crohydrtes of five rnge species. J. Rnge Mnge. 3: Coughenour, M.B Biomss nd nitrogen response to grzing of uplnd steppe on Yellowstone s northern winter rnge. J. Appl. Ecol. 28: Engel, R.K., J.T. Nichols, J.L. Dodd, nd J.E. Brummer Root nd shoot responses of snd luestem to defolition. J. Rnge Mnge. 51: Goetz, H Growth nd development of ntive rnge plnts in the mixed grss pririe of western north Dkot. M.S. Thesis. North Dkot Stte Univ., Frgo. 165pp. Hnsen, P.L. nd G.R. Hoffmn The vegettion of the Grnd River/Cedr River, Sioux, nd Ashlnd Districts of the Custer Ntionl Forest: hitt type clssifiction. Gen. Tech. Rep. RM-157. Fort Collins, CO: U.S. Deprtment of Agriculture, Forest Service, Rocky Mountin Forest nd Rnge Experiment Sttion. 68p. Hrt, R.H. 21. Where the ufflo romed-or did they? Gret Plins Res. 11: Lycock, W.A., H. Buchnn, nd W.C. Krueger Three methods for determining diet, utiliztion, nd trmpling dmge on sheep rnges. J. Rnge Mnge. 25: Mnley, J.T., G.E. Schumn, J.D. Reeder, nd R.H. Hrt Rngelnd soil cron nd nitrogen responses to grzing. J. Soil nd Wter Cons. 5: McGregor, R.L., T.M. Brkley, R.E. Brooks, nd E.K. Schofield Flor of the Gret Plins. University Press of Knss. Lwrence, K.S.. Milner, C. nd R.E. Hughes Methods of the mesurement of primry production of grsslnd. Blckwell Sci. Pu. Oxford, Englnd. Ntionl Reserch Council Nutrient requirements for eef cttle (7 th ed.) Nt. Acd. of Sciences-NRC, Wshington, D.C. Omodt, H.W., G.A. Johnsgrd, D.D. Ptterson, nd O.P. Olson The mjor soils of North Dkot. Dept. of Soils, Ag. Exp. St. North Dkot Stte Univ., Frgo. Bull. No pp. Oweny, J.R. nd D.S. Ezell Monthly sttion normls of temperture, precipittion, nd heting nd cooling degree dys , North Dkot. Climtogrphy of the United Sttes No. 81. NOAA, Ntionl Climtic Dt Center. Asheville, NC. 6pp. Person, H.A Herge disppernce nd grzing cpcity determintions of southern pine luestem rnges. J. Rnge Mnge. 28: Riesterer, J.L. M.D. Csler, D.J. Undersnder, nd D.K. Coms. 2. Sesonl yield distriution of cool-seson grsses following winter defolition. Agron. J. 92: Schcht, W.H., A.J. Smrt, B.E. Anderson, L.E. Moser, nd R. Rsy Growth responses of wrm-seson tllgrsses to dormnt-seson mngement. J. Rnge Mnge. 51:

15 Sedivec, K.K., D.L. Dodds, nd D. Gult Rnge Site Identifiction. N.D. Stte Univ. Ext. Serv. Bull. R-58 (Revised). N.D. Univ. Frgo. 7 pp. Shiflet, T.N Rngelnd cover types of the United Sttes. Soc. Rnge Mnge. Denver, CO. 152 pp. Short, L.R. nd E.J. Woolfolk Plnt vigor s criterion for rnge condition. J. Rnge Mnge. 9: SPSS. 2. Sttisticl procedures for socil science. Mrketing Dept. SPSS. Inc. Chicgo, Ill. Steel, R.G.D nd J.H. Torrie Principles nd Procedures of Sttistics. (2 nd Edition), McGrw-Hill, New York Compny. New York, NY. Trent, J.D., L.L. Wllce, T.J. Svejcr, nd S. Christinsen Effects of grzing on growth, crohydrte pools, nd mycorrhize in winter whet. Cn. J. Plnt Sci. 68: Ulmer, M.G Soil survey of Adms County, North Dkot. U.S. Gov. Print Off. Wshington, D.C. 174p. United Sttes Deprtment of Agriculture Nturl Resource Conservtion Service. 21. Rnge Technicl Guidelines. Bismrck, ND. United Sttes Deprtment of Agriculture Forest Service, Rocky Mountin Reserch Sttion, Fire Sciences Lortory 22. Fire Effects Informtion System, [Online]. Aville: [22, Ferury]. Vllentine, J.F. 21. Grzing Mngement. Acdemic Press. Sn Diego, CA.. Whitmn, W.C., D.W. Bolin, E.W. Klostermn, K.D. Ford, L. Moomw, D.G. Hog, nd M.L. Buchnn Crotene, protein, nd phosphorus in grsses of western North Dkot. N.D. Agr. Exp. St. Bull. No. 37. Frgo. 55p. Wiesner, H.C Soil survey, Perkins County, South Dkot. U.S. Gov. Print Off. Wshington, D.C. 195p.

Enhancing Botanical Composition and Wildlife Habitat of Pastures in South Central Iowa through Soil Disturbance by Mob-grazing of Beef Cattle

Enhancing Botanical Composition and Wildlife Habitat of Pastures in South Central Iowa through Soil Disturbance by Mob-grazing of Beef Cattle Animl Industry Report AS 66 ASL R2888 214 Enhncing Botnicl Composition nd Wildlife Hitt of Pstures in South Centrl Iow through Soil Disturnce y Mo-grzing of Beef Cttle Justin J. Bisinger Iow Stte University,

More information

Manure Management Rate Effects on Soil Health in SD

Manure Management Rate Effects on Soil Health in SD Mnure Mngement Rte Effects on Soil Helth in SD Anthony Bly, SDSU Extension, Soils Field Specilist, Sioux Flls Regionl Center 2014 Bord of Regents, South Dkot Stte University Authors nd Collbortors Dr.

More information

Chapter 9: Inferences based on Two samples: Confidence intervals and tests of hypotheses

Chapter 9: Inferences based on Two samples: Confidence intervals and tests of hypotheses Chpter 9: Inferences bsed on Two smples: Confidence intervls nd tests of hypotheses 9.1 The trget prmeter : difference between two popultion mens : difference between two popultion proportions : rtio of

More information

Supplementary material

Supplementary material 10.1071/FP11237_AC CSIRO 2012 Accessory Puliction: Functionl Plnt Biology 2012, 39(5), 379 393. Supplementry mteril Tle S1. Effect of wter regime nd genotype on different growth prmeters: spike dry mtter

More information

Reducing Nonpoint Source Pollution through Effective Ditch Management

Reducing Nonpoint Source Pollution through Effective Ditch Management Reducing Nonpoint Source Pollution through Effective Ditch Mngement Meliss Huert DNREC Division of Wtershed Stewrdship Dringe Progrm University of Delwre Artificil Dringe in Delwre Engineered system to

More information

This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2

This chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2 1 Direct vrition 2 Inverse vrition This chpter will show you how to solve prolems where two vriles re connected y reltionship tht vries in direct or inverse proportion Direct proportion Inverse proportion

More information

Student Activity 3: Single Factor ANOVA

Student Activity 3: Single Factor ANOVA MATH 40 Student Activity 3: Single Fctor ANOVA Some Bsic Concepts In designed experiment, two or more tretments, or combintions of tretments, is pplied to experimentl units The number of tretments, whether

More information

Section 6: Area, Volume, and Average Value

Section 6: Area, Volume, and Average Value Chpter The Integrl Applied Clculus Section 6: Are, Volume, nd Averge Vlue Are We hve lredy used integrls to find the re etween the grph of function nd the horizontl xis. Integrls cn lso e used to find

More information

7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus

7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus 7.1 Integrl s Net Chnge nd 7. Ares in the Plne Clculus 7.1 INTEGRAL AS NET CHANGE Notecrds from 7.1: Displcement vs Totl Distnce, Integrl s Net Chnge We hve lredy seen how the position of n oject cn e

More information

LAMEPS Limited area ensemble forecasting in Norway, using targeted EPS

LAMEPS Limited area ensemble forecasting in Norway, using targeted EPS Limited re ensemle forecsting in Norwy, using trgeted Mrit H. Jensen, Inger-Lise Frogner* nd Ole Vignes, Norwegin Meteorologicl Institute, (*held the presenttion) At the Norwegin Meteorologicl Institute

More information

1B40 Practical Skills

1B40 Practical Skills B40 Prcticl Skills Comining uncertinties from severl quntities error propgtion We usully encounter situtions where the result of n experiment is given in terms of two (or more) quntities. We then need

More information

Alternative Control Strategies for Cabbage Aphids in Fall Crops

Alternative Control Strategies for Cabbage Aphids in Fall Crops Alterntive Control Strtegies for Cge Aphids in Fll Crops By Susn B. Scheufele UMss Extension Vegetle Progrm Cge phids (CA) cn severely reduce yield nd mrketility of rssic crops throughout the yer ut cn

More information

UNIVERSITY OF KWAZULU-NATAL EXAMINATIONS: JUNE 2007

UNIVERSITY OF KWAZULU-NATAL EXAMINATIONS: JUNE 2007 EXAMINATIONS: SUBJECT, COURSE AND CODE: HYDROLOGY 20 DURATION: HOURS TOTAL MARKS: 00 Internl Exminer : Ms ML Wrburton : Prof RE Schulze : Ms KT Chetty : Mr MJC Horn Externl Exminer : Prof PJT Roberts STUDENTS

More information

Comparison Procedures

Comparison Procedures Comprison Procedures Single Fctor, Between-Subects Cse /8/ Comprison Procedures, One-Fctor ANOVA, Between Subects Two Comprison Strtegies post hoc (fter-the-fct) pproch You re interested in discovering

More information

5.1 How do we Measure Distance Traveled given Velocity? Student Notes

5.1 How do we Measure Distance Traveled given Velocity? Student Notes . How do we Mesure Distnce Trveled given Velocity? Student Notes EX ) The tle contins velocities of moving cr in ft/sec for time t in seconds: time (sec) 3 velocity (ft/sec) 3 A) Lel the x-xis & y-xis

More information

Example. Have precipitation and streamflow data, need to estimate losses

Example. Have precipitation and streamflow data, need to estimate losses Excess Rinfll Excess rinfll Rinfll tht is neither retined on the lnd surfce nor infiltrted into the soil Grph of excess rinfll versus time is clled excess rinfll hyetogrph Direct runoff = observed stremflow

More information

Name Solutions to Test 3 November 8, 2017

Name Solutions to Test 3 November 8, 2017 Nme Solutions to Test 3 November 8, 07 This test consists of three prts. Plese note tht in prts II nd III, you cn skip one question of those offered. Some possibly useful formuls cn be found below. Brrier

More information

Acceptance Sampling by Attributes

Acceptance Sampling by Attributes Introduction Acceptnce Smpling by Attributes Acceptnce smpling is concerned with inspection nd decision mking regrding products. Three spects of smpling re importnt: o Involves rndom smpling of n entire

More information

The impact of wind on air temperature distribution in Athens and in Santorini

The impact of wind on air temperature distribution in Athens and in Santorini Interntionl Conference Pssive nd Low Energy Cooling 133 The impct of wind on ir temperture distribution in Athens nd in Sntorini I. Livd, K. Nichou nd M. Sntmouris Lbortory of Meteorology, Section of Applied

More information

0.1 THE REAL NUMBER LINE AND ORDER

0.1 THE REAL NUMBER LINE AND ORDER 6000_000.qd //0 :6 AM Pge 0-0- CHAPTER 0 A Preclculus Review 0. THE REAL NUMBER LINE AND ORDER Represent, clssify, nd order rel numers. Use inequlities to represent sets of rel numers. Solve inequlities.

More information

Interpreting Integrals and the Fundamental Theorem

Interpreting Integrals and the Fundamental Theorem Interpreting Integrls nd the Fundmentl Theorem Tody, we go further in interpreting the mening of the definite integrl. Using Units to Aid Interprettion We lredy know tht if f(t) is the rte of chnge of

More information

Validation of APHRODITE Precipitation Data for Humid and Sub Humid Regions of Pakistan

Validation of APHRODITE Precipitation Data for Humid and Sub Humid Regions of Pakistan Pkistn Journl of Meteorology Vol.9, Issue 17: July 2012 Vlidtion of APHRODITE Precipittion Dt for Humid nd Su Humid Regions of Pkistn Ali, G. 1, 2, G. Rsul 2, T. Mhmood 2, Q. Zmn 2, S. B. Cheem 2 Astrct

More information

CS 330 Formal Methods and Models

CS 330 Formal Methods and Models CS 330 Forml Methods nd Models Dn Richrds, section 003, George Mson University, Fll 2017 Quiz Solutions Quiz 1, Propositionl Logic Dte: Septemer 7 1. Prove (p q) (p q), () (5pts) using truth tles. p q

More information

Math 42 Chapter 7 Practice Problems Set B

Math 42 Chapter 7 Practice Problems Set B Mth 42 Chpter 7 Prctice Problems Set B 1. Which of the following functions is solution of the differentil eqution dy dx = 4xy? () y = e 4x (c) y = e 2x2 (e) y = e 2x (g) y = 4e2x2 (b) y = 4x (d) y = 4x

More information

Advanced Algebra & Trigonometry Midterm Review Packet

Advanced Algebra & Trigonometry Midterm Review Packet Nme Dte Advnced Alger & Trigonometry Midterm Review Pcket The Advnced Alger & Trigonometry midterm em will test your generl knowledge of the mteril we hve covered since the eginning of the school yer.

More information

The 1 th International and The 4 th National Congress on Recycling of Organic Waste in Agriculture April 2012 in Isfahan, Iran

The 1 th International and The 4 th National Congress on Recycling of Organic Waste in Agriculture April 2012 in Isfahan, Iran The 1 th Interntionl nd The 4 th Ntionl Congress on The Effect of Prticle Size nd Composting Period on (C/N) Rtio of Dte- Plm Wste Min Mortzvi 1, Ahmd Mohmmdi Ghehsreh 2 nd Mhmoud Klsi 3 1. M.Sc. Student,

More information

Tests for the Ratio of Two Poisson Rates

Tests for the Ratio of Two Poisson Rates Chpter 437 Tests for the Rtio of Two Poisson Rtes Introduction The Poisson probbility lw gives the probbility distribution of the number of events occurring in specified intervl of time or spce. The Poisson

More information

Chapter 6 Continuous Random Variables and Distributions

Chapter 6 Continuous Random Variables and Distributions Chpter 6 Continuous Rndom Vriles nd Distriutions Mny economic nd usiness mesures such s sles investment consumption nd cost cn hve the continuous numericl vlues so tht they cn not e represented y discrete

More information

River Location Percent change in precipitation

River Location Percent change in precipitation Tble 10.1 Percentge chnge in nnul runoff with different chnges in nnul precipittion nd n increse in temperture of 2 C. Source: From vrious sources in Arnell (1996, tble 5.1) River Loction Percent chnge

More information

Thermal Diffusivity. Paul Hughes. Department of Physics and Astronomy The University of Manchester Manchester M13 9PL. Second Year Laboratory Report

Thermal Diffusivity. Paul Hughes. Department of Physics and Astronomy The University of Manchester Manchester M13 9PL. Second Year Laboratory Report Therml iffusivity Pul Hughes eprtment of Physics nd Astronomy The University of nchester nchester 3 9PL Second Yer Lbortory Report Nov 4 Abstrct We investigted the therml diffusivity of cylindricl block

More information

Improvement of chilling efficiency and product quality of broiler carcasses using sub-zero saline solutions

Improvement of chilling efficiency and product quality of broiler carcasses using sub-zero saline solutions Improvement of chilling efficiency nd product qulity of roiler crcsses using su-zero sline solutions I. Kng*, M.M. Metheny*, nd PhD, H.C. Lee*, PhD, D. Bennett *, PhD, S. Hurley, PhD, Animl Science*/Agriusiness

More information

Forces from Strings Under Tension A string under tension medites force: the mgnitude of the force from section of string is the tension T nd the direc

Forces from Strings Under Tension A string under tension medites force: the mgnitude of the force from section of string is the tension T nd the direc Physics 170 Summry of Results from Lecture Kinemticl Vribles The position vector ~r(t) cn be resolved into its Crtesin components: ~r(t) =x(t)^i + y(t)^j + z(t)^k. Rtes of Chnge Velocity ~v(t) = d~r(t)=

More information

Discrete Mathematics and Probability Theory Spring 2013 Anant Sahai Lecture 17

Discrete Mathematics and Probability Theory Spring 2013 Anant Sahai Lecture 17 EECS 70 Discrete Mthemtics nd Proility Theory Spring 2013 Annt Shi Lecture 17 I.I.D. Rndom Vriles Estimting the is of coin Question: We wnt to estimte the proportion p of Democrts in the US popultion,

More information

ANALYSIS OF FAST REACTORS SYSTEMS

ANALYSIS OF FAST REACTORS SYSTEMS ANALYSIS OF FAST REACTORS SYSTEMS M. Rghe 4/7/006 INTRODUCTION Fst rectors differ from therml rectors in severl spects nd require specil tretment. The prsitic cpture cross sections in the fuel, coolnt

More information

Spatial Distribution of Spartina pectinata Transplants to Restore Wet Prairie

Spatial Distribution of Spartina pectinata Transplants to Restore Wet Prairie Sptil Distriution of Sprtin pectint Trnsplnts to Restore Wet Pririe lexndr Frser 1 nd Kelly Kindscher 2,3 strct Restortion of wet pririe in the centrl midwestern United Sttes should include Pririe cordgrss

More information

FORM FIVE ADDITIONAL MATHEMATIC NOTE. ar 3 = (1) ar 5 = = (2) (2) (1) a = T 8 = 81

FORM FIVE ADDITIONAL MATHEMATIC NOTE. ar 3 = (1) ar 5 = = (2) (2) (1) a = T 8 = 81 FORM FIVE ADDITIONAL MATHEMATIC NOTE CHAPTER : PROGRESSION Arithmetic Progression T n = + (n ) d S n = n [ + (n )d] = n [ + Tn ] S = T = T = S S Emple : The th term of n A.P. is 86 nd the sum of the first

More information

Roadmap. Tropical seagrasses: natural & anthropogenic impacts 5/15/2015

Roadmap. Tropical seagrasses: natural & anthropogenic impacts 5/15/2015 Rodmp Tropicl segrsses: nturl & nthropogenic impcts Mrine Botny 5.14.15 Angel L Quiros Introduction to tropicl segrsses Threts to segrsses My thesis: Lnd to se impcts on segrsses The Mechnism : A field

More information

Discrete Mathematics and Probability Theory Summer 2014 James Cook Note 17

Discrete Mathematics and Probability Theory Summer 2014 James Cook Note 17 CS 70 Discrete Mthemtics nd Proility Theory Summer 2014 Jmes Cook Note 17 I.I.D. Rndom Vriles Estimting the is of coin Question: We wnt to estimte the proportion p of Democrts in the US popultion, y tking

More information

Project Title: Developing Stink Bug Thresholds for the Early Soybean Production System on the Upper Gulf Coast. 3 rd Year of Study.

Project Title: Developing Stink Bug Thresholds for the Early Soybean Production System on the Upper Gulf Coast. 3 rd Year of Study. Project Title: Developing Stink Bug Thresholds for the Erly Soyben Production System on the Upper Gulf Cost. 3 rd Yer of Study. Principl Investigtor: M.O. Wy Associte Professor, Entomology Texs Agriculturl

More information

Estimation of Global Solar Radiation at Onitsha with Regression Analysis and Artificial Neural Network Models

Estimation of Global Solar Radiation at Onitsha with Regression Analysis and Artificial Neural Network Models eserch Journl of ecent Sciences ISSN 77-5 es.j.ecent Sci. Estimtion of Globl Solr dition t Onitsh with egression Anlysis nd Artificil Neurl Network Models Abstrct Agbo G.A., Ibeh G.F. *nd Ekpe J.E. Fculty

More information

MIXED MODELS (Sections ) I) In the unrestricted model, interactions are treated as in the random effects model:

MIXED MODELS (Sections ) I) In the unrestricted model, interactions are treated as in the random effects model: 1 2 MIXED MODELS (Sections 17.7 17.8) Exmple: Suppose tht in the fiber breking strength exmple, the four mchines used were the only ones of interest, but the interest ws over wide rnge of opertors, nd

More information

Physics 1402: Lecture 7 Today s Agenda

Physics 1402: Lecture 7 Today s Agenda 1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:

More information

Supplementary Figure 1

Supplementary Figure 1 Supplementry Figure (nesthetized) (wke) Normlized mplitude.5 Pek width (ms).6.4.2 4 2 2 x 3 Wveform slope Normlized mplitude.5 Pek width (ms).6.4.2 x 3 3 2 Wveform slope c (nesthetized) d (wke) Normlized

More information

AQA Chemistry Paper 2

AQA Chemistry Paper 2 AQA hemistry Pper 2 1.1 A student is plnning n investigtion into how the concentrtion of hydrochloric cid ffects the rte of the rection with mrle chips. Wht is the independent vrile? Tick one ox. (1 mrk)

More information

( ) as a fraction. Determine location of the highest

( ) as a fraction. Determine location of the highest AB Clculus Exm Review Sheet - Solutions A. Preclculus Type prolems A1 A2 A3 A4 A5 A6 A7 This is wht you think of doing Find the zeros of f ( x). Set function equl to 0. Fctor or use qudrtic eqution if

More information

AB Calculus Review Sheet

AB Calculus Review Sheet AB Clculus Review Sheet Legend: A Preclculus, B Limits, C Differentil Clculus, D Applictions of Differentil Clculus, E Integrl Clculus, F Applictions of Integrl Clculus, G Prticle Motion nd Rtes This is

More information

Math 8 Winter 2015 Applications of Integration

Math 8 Winter 2015 Applications of Integration Mth 8 Winter 205 Applictions of Integrtion Here re few importnt pplictions of integrtion. The pplictions you my see on n exm in this course include only the Net Chnge Theorem (which is relly just the Fundmentl

More information

AN IMPROVED SMALL CLOSED DRIFT THRUSTER WITH BOTH CONDUCTING AND DIELECT RIC CHANNELS

AN IMPROVED SMALL CLOSED DRIFT THRUSTER WITH BOTH CONDUCTING AND DIELECT RIC CHANNELS AN IMPROVED SMALL CLOSED DRIFT THRUSTER WITH BOTH CONDUCTING AND DIELECT RIC CHANNELS A.I.Bugrov, A.D.Desitskov, H.R.Kufmn, V.K.Khrchevnikov, A.I.Morozov c, V.V.Zhurin d Moscow Institute of Rdioelectronics,

More information

SUMMER KNOWHOW STUDY AND LEARNING CENTRE

SUMMER KNOWHOW STUDY AND LEARNING CENTRE SUMMER KNOWHOW STUDY AND LEARNING CENTRE Indices & Logrithms 2 Contents Indices.2 Frctionl Indices.4 Logrithms 6 Exponentil equtions. Simplifying Surds 13 Opertions on Surds..16 Scientific Nottion..18

More information

G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2 D. URSUŢIU 2

G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2 D. URSUŢIU 2 PRELIMINARY EXPERIMENTS OF THE NEW FACILITY AND TECHNOLOGY FOR VACUUM DRYING AND THERMAL POLIMERIZATION OF THE TURBOGENERATORS STATOR BARS INSULATION (INTEPOL) G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2

More information

( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x).

( ) where f ( x ) is a. AB Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x). AB Clculus Exm Review Sheet A. Preclculus Type prolems A1 Find the zeros of f ( x). This is wht you think of doing A2 A3 Find the intersection of f ( x) nd g( x). Show tht f ( x) is even. A4 Show tht f

More information

Stream Bank Erosion as a Source of Sediment and Phosphorus in Grazed Gastures of the Rathbun Lake Watershed in Southern Iowa, United States

Stream Bank Erosion as a Source of Sediment and Phosphorus in Grazed Gastures of the Rathbun Lake Watershed in Southern Iowa, United States Nturl Resource Ecology nd Mngement Pulictions Nturl Resource Ecology nd Mngement 11-2012 Strem Bnk Erosion s Source of Sediment nd Phosphorus in Grzed Gstures of the Rthun Lke Wtershed in Southern Iow,

More information

Silicon Nanowire Based Single-Molecule SERS Sensor

Silicon Nanowire Based Single-Molecule SERS Sensor Supporting informtion Silicon Nnowire Bsed Single-Molecule SERS Sensor Hui Wng, Xuemei Hn, Xuemei Ou, Chun-Sing Lee, Xiohong Zhng* nd Shuit-Tong Lee S1, A series of Si nnowires coted with compct ggregtes

More information

Haplotype Frequencies and Linkage Disequilibrium. Biostatistics 666

Haplotype Frequencies and Linkage Disequilibrium. Biostatistics 666 Hlotye Frequencies nd Linkge isequilirium iosttistics 666 Lst Lecture Genotye Frequencies llele Frequencies Phenotyes nd Penetrnces Hrdy-Weinerg Equilirium Simle demonstrtion Exercise: NO2 nd owel isese

More information

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue

Effects of Drought on the Performance of Two Hybrid Bluegrasses, Kentucky Bluegrass and Tall Fescue TITLE: OBJECTIVE: AUTHOR: SPONSORS: Effets of Drought on the Performne of Two Hyrid Bluegrsses, Kentuky Bluegrss nd Tll Fesue Evlute the effets of drought on the visul qulity nd photosynthesis in two hyrid

More information

INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD

INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD INVESTIGATION OF BURSA, ESKIKARAAGAC USING VERTICAL ELECTRICAL SOUNDING METHOD Gökçen ERYILMAZ TÜRKKAN, Serdr KORKMAZ Uludg University, Civil Engineering Deprtment, Burs, Turkey geryilmz@uludg.edu.tr,

More information

Simulated climate vegetation interaction in semi-arid regions affected by plant diversity

Simulated climate vegetation interaction in semi-arid regions affected by plant diversity SULMNTARY INFORMATION DOI: 0.038/NGO96 Simulted climte vegettion interction in semi-rid regions ffected y plnt diversity M. Clussen,,*, S. Bthiny, V. Brovkin nd T. Kleinen []{Mx lnck Institute for Meteorology,

More information

MA 15910, Lessons 2a and 2b Introduction to Functions Algebra: Sections 3.5 and 7.4 Calculus: Sections 1.2 and 2.1

MA 15910, Lessons 2a and 2b Introduction to Functions Algebra: Sections 3.5 and 7.4 Calculus: Sections 1.2 and 2.1 MA 15910, Lessons nd Introduction to Functions Alger: Sections 3.5 nd 7.4 Clculus: Sections 1. nd.1 Representing n Intervl Set of Numers Inequlity Symol Numer Line Grph Intervl Nottion ) (, ) ( (, ) ]

More information

Lesson 5.3 Graph General Rational Functions

Lesson 5.3 Graph General Rational Functions Copright Houghton Mifflin Hrcourt Publishing Compn. All rights reserved. Averge cost ($) C 8 6 4 O 4 6 8 Number of people number of hits.. number of times t bt.5 n n 4 b. 4.5 4.5.5; No, btting verge of.5

More information

3 x x x 1 3 x a a a 2 7 a Ba 1 NOW TRY EXERCISES 89 AND a 2/ Evaluate each expression.

3 x x x 1 3 x a a a 2 7 a Ba 1 NOW TRY EXERCISES 89 AND a 2/ Evaluate each expression. SECTION. Eponents nd Rdicls 7 B 7 7 7 7 7 7 7 NOW TRY EXERCISES 89 AND 9 7. EXERCISES CONCEPTS. () Using eponentil nottion, we cn write the product s. In the epression 3 4,the numer 3 is clled the, nd

More information

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives

Properties of Integrals, Indefinite Integrals. Goals: Definition of the Definite Integral Integral Calculations using Antiderivatives Block #6: Properties of Integrls, Indefinite Integrls Gols: Definition of the Definite Integrl Integrl Clcultions using Antiderivtives Properties of Integrls The Indefinite Integrl 1 Riemnn Sums - 1 Riemnn

More information

3.94 ± 0.50 (95% CI) Correlative inhibition index (slope)

3.94 ± 0.50 (95% CI) Correlative inhibition index (slope) Supplementl Tle S. Selected rchitecturl prmeters of phy nd phyphy grown under. Vlues re mens ± SE, except for predicted primry rosette rnches where the vlues re the men with the ssocited 9% confidence

More information

Coimisiún na Scrúduithe Stáit State Examinations Commission

Coimisiún na Scrúduithe Stáit State Examinations Commission M 30 Coimisiún n Scrúduithe Stáit Stte Exmintions Commission LEAVING CERTIFICATE EXAMINATION, 005 MATHEMATICS HIGHER LEVEL PAPER ( 300 mrks ) MONDAY, 3 JUNE MORNING, 9:30 to :00 Attempt FIVE questions

More information

Understanding the relationship between floral fragrance, ethylene production and vase life of cut rose flowers

Understanding the relationship between floral fragrance, ethylene production and vase life of cut rose flowers Ethylene, Frgrnce nd Vse Life of Cut Rose Flowers 9/27/216 Progress Report Understnding the reltionship between florl frgrnce, ethylene production nd vse life of cut rose flowers An Mri Bord Dvid Clrk

More information

2.4 Linear Inequalities and Problem Solving

2.4 Linear Inequalities and Problem Solving Section.4 Liner Inequlities nd Problem Solving 77.4 Liner Inequlities nd Problem Solving S 1 Use Intervl Nottion. Solve Liner Inequlities Using the Addition Property of Inequlity. 3 Solve Liner Inequlities

More information

Temperature influence compensation in microbolometer detector for image quality enhancement

Temperature influence compensation in microbolometer detector for image quality enhancement .26/qirt.26.68 Temperture influence compenstion in microolometer detector for imge qulity enhncement More info out this rticle: http://www.ndt.net/?id=2647 Astrct y M. Krupiński*, T. Sosnowski*, H. Mdur*

More information

CHAPTER 20: Second Law of Thermodynamics

CHAPTER 20: Second Law of Thermodynamics CHAER 0: Second Lw of hermodynmics Responses to Questions 3. kg of liquid iron will hve greter entropy, since it is less ordered thn solid iron nd its molecules hve more therml motion. In ddition, het

More information

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12

3.2.2 Kinetics. Maxwell Boltzmann distribution. 128 minutes. 128 marks. Page 1 of 12 3.. Kinetics Mxwell Boltzmnn distribution 8 minutes 8 mrks Pge of M. () M On the energy xis E mp t the mximum of the originl pek M The limits for the horizontl position of E mp re defined s bove the word

More information

Quantum Nonlocality Pt. 2: No-Signaling and Local Hidden Variables May 1, / 16

Quantum Nonlocality Pt. 2: No-Signaling and Local Hidden Variables May 1, / 16 Quntum Nonloclity Pt. 2: No-Signling nd Locl Hidden Vriles My 1, 2018 Quntum Nonloclity Pt. 2: No-Signling nd Locl Hidden Vriles My 1, 2018 1 / 16 Non-Signling Boxes The primry lesson from lst lecture

More information

( dg. ) 2 dt. + dt. dt j + dh. + dt. r(t) dt. Comparing this equation with the one listed above for the length of see that

( dg. ) 2 dt. + dt. dt j + dh. + dt. r(t) dt. Comparing this equation with the one listed above for the length of see that Arc Length of Curves in Three Dimensionl Spce If the vector function r(t) f(t) i + g(t) j + h(t) k trces out the curve C s t vries, we cn mesure distnces long C using formul nerly identicl to one tht we

More information

5: The Definite Integral

5: The Definite Integral 5: The Definite Integrl 5.: Estimting with Finite Sums Consider moving oject its velocity (meters per second) t ny time (seconds) is given y v t = t+. Cn we use this informtion to determine the distnce

More information

SOME INTEGRAL INEQUALITIES OF GRÜSS TYPE

SOME INTEGRAL INEQUALITIES OF GRÜSS TYPE RGMIA Reserch Report Collection, Vol., No., 998 http://sci.vut.edu.u/ rgmi SOME INTEGRAL INEQUALITIES OF GRÜSS TYPE S.S. DRAGOMIR Astrct. Some clssicl nd new integrl inequlities of Grüss type re presented.

More information

Department of Biology, Faculty of Science, Ramkhamhaeng University, Bangkok, Thailand 2

Department of Biology, Faculty of Science, Ramkhamhaeng University, Bangkok, Thailand 2 B_18_PF: THE INFLUENCE OF WATERING SOIL AND THALLUS ON PHYSIOLOGICAL PROCESSES AND NATURAL PRODUCTS OF THE TRANSPLANTED LICHEN Prmotrem tinctorum Mongkol Phengphech, 1 * Prichukorn Khongstr, Wetchsrt Polyim,

More information

Introduction to Algebra - Part 2

Introduction to Algebra - Part 2 Alger Module A Introduction to Alger - Prt Copright This puliction The Northern Alert Institute of Technolog 00. All Rights Reserved. LAST REVISED Oct., 008 Introduction to Alger - Prt Sttement of Prerequisite

More information

Emission of K -, L - and M - Auger Electrons from Cu Atoms. Abstract

Emission of K -, L - and M - Auger Electrons from Cu Atoms. Abstract Emission of K -, L - nd M - uger Electrons from Cu toms Mohmed ssd bdel-rouf Physics Deprtment, Science College, UEU, l in 17551, United rb Emirtes ssd@ueu.c.e bstrct The emission of uger electrons from

More information

4.1. Probability Density Functions

4.1. Probability Density Functions STT 1 4.1-4. 4.1. Proility Density Functions Ojectives. Continuous rndom vrile - vers - discrete rndom vrile. Proility density function. Uniform distriution nd its properties. Expected vlue nd vrince of

More information

Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved.

Calculus Module C21. Areas by Integration. Copyright This publication The Northern Alberta Institute of Technology All Rights Reserved. Clculus Module C Ares Integrtion Copright This puliction The Northern Alert Institute of Technolog 7. All Rights Reserved. LAST REVISED Mrch, 9 Introduction to Ares Integrtion Sttement of Prerequisite

More information

Bases for Vector Spaces

Bases for Vector Spaces Bses for Vector Spces 2-26-25 A set is independent if, roughly speking, there is no redundncy in the set: You cn t uild ny vector in the set s liner comintion of the others A set spns if you cn uild everything

More information

Math 31S. Rumbos Fall Solutions to Assignment #16

Math 31S. Rumbos Fall Solutions to Assignment #16 Mth 31S. Rumbos Fll 2016 1 Solutions to Assignment #16 1. Logistic Growth 1. Suppose tht the growth of certin niml popultion is governed by the differentil eqution 1000 dn N dt = 100 N, (1) where N(t)

More information

p-adic Egyptian Fractions

p-adic Egyptian Fractions p-adic Egyptin Frctions Contents 1 Introduction 1 2 Trditionl Egyptin Frctions nd Greedy Algorithm 2 3 Set-up 3 4 p-greedy Algorithm 5 5 p-egyptin Trditionl 10 6 Conclusion 1 Introduction An Egyptin frction

More information

2015 SRJC H2 Mathematics Prelim Paper 2

2015 SRJC H2 Mathematics Prelim Paper 2 05 SRJC H Mthemtics Prelim Pper Section A: Pure Mthemtics [40 mrks] Functions f nd g re defined s elow. f :, g : ln( ), (i) Sketch the grph of g() nd stte its ect rnge. [] (ii) Determine whether the composite

More information

Characterization of Impact Test Response of PCCP with System Identification Approaches

Characterization of Impact Test Response of PCCP with System Identification Approaches 7th World Conference on Nondestructive Testing, 25-28 Oct 2008, Shnghi, Chin Chrcteriztion of Impct Test Response of PCCP with System Identifiction Approches Astrct Zheng LIU, Alex WANG, nd Dennis KRYS

More information

Energy (kcal mol -1 ) Force (kcal mol -1 Å -1 ) Pore axis (Å) Mixed Mo-only S-only Graphene

Energy (kcal mol -1 ) Force (kcal mol -1 Å -1 ) Pore axis (Å) Mixed Mo-only S-only Graphene Force (kcl mol -1 Å -1 ) Energy (kcl mol -1 ) 3 1-1 - -3 Mixed Mo-only S-only Grphene 6 5 3 1 Mixed Mo-only S-only Grphene - -1-1 1 Pore xis (Å) -1 1 Pore xis (Å) Supplementry Figure 1 Energy Brriers.

More information

Iowa Training Systems Trial Snus Hill Winery Madrid, IA

Iowa Training Systems Trial Snus Hill Winery Madrid, IA Iow Trining Systems Tril Snus Hill Winery Mdrid, IA Din R. Cohrn nd Gil R. Nonneke Deprtment of Hortiulture, Iow Stte University Bkground nd Rtionle: Over the lst severl yers, five sttes hve een evluting

More information

An Overview of Integration

An Overview of Integration An Overview of Integrtion S. F. Ellermeyer July 26, 2 The Definite Integrl of Function f Over n Intervl, Suppose tht f is continuous function defined on n intervl,. The definite integrl of f from to is

More information

Bridging the gap: GCSE AS Level

Bridging the gap: GCSE AS Level Bridging the gp: GCSE AS Level CONTENTS Chpter Removing rckets pge Chpter Liner equtions Chpter Simultneous equtions 8 Chpter Fctors 0 Chpter Chnge the suject of the formul Chpter 6 Solving qudrtic equtions

More information

( ) where f ( x ) is a. AB/BC Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x).

( ) where f ( x ) is a. AB/BC Calculus Exam Review Sheet. A. Precalculus Type problems. Find the zeros of f ( x). AB/ Clculus Exm Review Sheet A. Preclculus Type prolems A1 Find the zeros of f ( x). This is wht you think of doing A2 Find the intersection of f ( x) nd g( x). A3 Show tht f ( x) is even. A4 Show tht

More information

8Similarity UNCORRECTED PAGE PROOFS. 8.1 Kick off with CAS 8.2 Similar objects 8.3 Linear scale factors. 8.4 Area and volume scale factors 8.

8Similarity UNCORRECTED PAGE PROOFS. 8.1 Kick off with CAS 8.2 Similar objects 8.3 Linear scale factors. 8.4 Area and volume scale factors 8. 8.1 Kick off with S 8. Similr ojects 8. Liner scle fctors 8Similrity 8. re nd volume scle fctors 8. Review U N O R R E TE D P G E PR O O FS 8.1 Kick off with S Plese refer to the Resources t in the Prelims

More information

APPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line

APPENDIX. Precalculus Review D.1. Real Numbers and the Real Number Line APPENDIX D Preclculus Review APPENDIX D.1 Rel Numers n the Rel Numer Line Rel Numers n the Rel Numer Line Orer n Inequlities Asolute Vlue n Distnce Rel Numers n the Rel Numer Line Rel numers cn e represente

More information

Designing Information Devices and Systems I Anant Sahai, Ali Niknejad. This homework is due October 19, 2015, at Noon.

Designing Information Devices and Systems I Anant Sahai, Ali Niknejad. This homework is due October 19, 2015, at Noon. EECS 16A Designing Informtion Devices nd Systems I Fll 2015 Annt Shi, Ali Niknejd Homework 7 This homework is due Octoer 19, 2015, t Noon. 1. Circuits with cpcitors nd resistors () Find the voltges cross

More information

Designing Information Devices and Systems I Spring 2018 Homework 8

Designing Information Devices and Systems I Spring 2018 Homework 8 EECS 16A Designing Informtion Devices nd Systems I Spring 2018 Homework 8 This homework is due Mrch 19, 2018, t 23:59. Self-grdes re due Mrch 22, 2018, t 23:59. Sumission Formt Your homework sumission

More information

Larval dispersal. Settlement. Larval production Post-settlement. Sources of spatial and temporal variation in recruitment

Larval dispersal. Settlement. Larval production Post-settlement. Sources of spatial and temporal variation in recruitment Sources of sptil nd temporl vrition in recruitment Lrvl dispersl Sources of sptil nd temporl vrition in recruitment Processes ffecting SETTLEMENT of lrve 1) Physicl processes Settlement Lrvl production

More information

Exploring parametric representation with the TI-84 Plus CE graphing calculator

Exploring parametric representation with the TI-84 Plus CE graphing calculator Exploring prmetric representtion with the TI-84 Plus CE grphing clcultor Richrd Prr Executive Director Rice University School Mthemtics Project rprr@rice.edu Alice Fisher Director of Director of Technology

More information

Continuous Random Variables Class 5, Jeremy Orloff and Jonathan Bloom

Continuous Random Variables Class 5, Jeremy Orloff and Jonathan Bloom Lerning Gols Continuous Rndom Vriles Clss 5, 8.05 Jeremy Orloff nd Jonthn Bloom. Know the definition of continuous rndom vrile. 2. Know the definition of the proility density function (pdf) nd cumultive

More information

Elevation-dependent influence of snow accumulation on forest greening

Elevation-dependent influence of snow accumulation on forest greening PUBLISHED ONLINE: 9 SEPTEMBER 212 DOI: 1.138/NGEO1571 Elevtion-dependent influence of snow ccumultion on forest greening Ernesto Trujillo 1,2 *, Noh P. Molotch 1,3,4, Michel L. Goulden 5, Anne E. Kelly

More information

Chapter 9 Definite Integrals

Chapter 9 Definite Integrals Chpter 9 Definite Integrls In the previous chpter we found how to tke n ntiderivtive nd investigted the indefinite integrl. In this chpter the connection etween ntiderivtives nd definite integrls is estlished

More information

14.3 comparing two populations: based on independent samples

14.3 comparing two populations: based on independent samples Chpter4 Nonprmetric Sttistics Introduction: : methods for mking inferences bout popultion prmeters (confidence intervl nd hypothesis testing) rely on the ssumptions bout probbility distribution of smpled

More information

Continuous Random Variable X:

Continuous Random Variable X: Continuous Rndom Vrile : The continuous rndom vrile hs its vlues in n intervl, nd it hs proility distriution unction or proility density unction p.d. stisies:, 0 & d Which does men tht the totl re under

More information

A REVIEW OF CALCULUS CONCEPTS FOR JDEP 384H. Thomas Shores Department of Mathematics University of Nebraska Spring 2007

A REVIEW OF CALCULUS CONCEPTS FOR JDEP 384H. Thomas Shores Department of Mathematics University of Nebraska Spring 2007 A REVIEW OF CALCULUS CONCEPTS FOR JDEP 384H Thoms Shores Deprtment of Mthemtics University of Nebrsk Spring 2007 Contents Rtes of Chnge nd Derivtives 1 Dierentils 4 Are nd Integrls 5 Multivrite Clculus

More information

P1.1 VERIFICATION OF SURFACE LAYER OZONE FORECASTS IN THE NOAA/EPA AIR QUALITY FORECAST SYSTEM IN DIFFERENT REGIONS UNDER DIFFERENT SYNOPTIC SCENARIOS

P1.1 VERIFICATION OF SURFACE LAYER OZONE FORECASTS IN THE NOAA/EPA AIR QUALITY FORECAST SYSTEM IN DIFFERENT REGIONS UNDER DIFFERENT SYNOPTIC SCENARIOS P1.1 VERIFICATION OF SURFACE LAYER OZONE FORECASTS IN THE NOAA/EPA AIR QUALITY FORECAST SYSTEM IN DIFFERENT REGIONS UNDER DIFFERENT SYNOPTIC SCENARIOS Mrin Tsidulko 1*, Jeff T. McQueen 2, Geoff DiMego

More information