{"id":75,"date":"2017-04-12T18:09:56","date_gmt":"2017-04-12T18:09:56","guid":{"rendered":"http:\/\/sites.warnercnr.colostate.edu\/larryr\/?page_id=75"},"modified":"2017-04-12T18:09:56","modified_gmt":"2017-04-12T18:09:56","slug":"carrying-capacity-stocking-rate-feedback","status":"publish","type":"page","link":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/carrying-capacity-stocking-rate-feedback\/","title":{"rendered":"Carrying Capacity & Stocking Rate Feedback"},"content":{"rendered":"

RS300
\nSample UnitExam
\n10-11-99
\n<\/span><\/b><\/p>\n

Given: A rangeland area in NE Wyoming, a mixed grass prairie in an area of about 15 inches of precipitation, produces a peak standing crop of desirable plants for sheep of about 1000 lb per acre. The area is 10,000 acres. The setting is early spring and early summer. Each ewe has 1.4 offspring. Ingestion or consumption per day (per ewe-lamb pair) was estimated from the formula [I call this the Rittenhouse quick and dirty method]: [(Fecal output x physiological demand compared to maintenance) divided by the indigestion coefficient; or, {(150 lb x .0143) x (1.3)}\/(1-.60) = 6.97 or 7 lbs forage intake\/day.<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 1.\u00a0\u00a0\u00a0 The 0.6 in the formula represents: (a) digestion? (b) digestibility? (c) the digestion coefficient?<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 2.\u00a0\u00a0\u00a0 Use the 7 pound\/day number. What is the AUE of a ewe-lamb pair? AUE = .267<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 3.\u00a0\u00a0\u00a0 So, this area produces about 10, 000, 000 lbs of palatable, desirable forage. The actual production is (a) lesser than this number. (b) greater than this<\/span>
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 number<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 4.\u00a0\u00a0\u00a0 Assume a harvest efficiency of .35. Animals are here only 60 days. What is the approximate forage supply, expressed as total AUMs?<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [(1000 lb\/acre)*(10000 Acres)*(.35)] \u00f7 780 = 4487 AUM<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 5.\u00a0\u00a0\u00a0 How many AU (ewe-lamb pairs) could graze this area for the 60 days?<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [Note this handy formula: AUM = (AU)(AUE)(M)]<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 4487 = (AU)*(.269)*(2)<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 AU = 8340<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 6.\u00a0\u00a0\u00a0 What is estimated carrying capacity, expressed as acres\/AUM?<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10000 acres\/4487 AUM = 2.23 acres\/AUM<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 7.\u00a0\u00a0\u00a0 Carrying capacity and stocking rate have the same units. (a) true<\/span> (b) false<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 8.\u00a0\u00a0\u00a0 How many acres were allotted per sheep (AU)? 1.2 acres per AU<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 9.\u00a0\u00a0\u00a0 Write in your own words what an AUM of forage demand represents:<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 780 pounds of forage, dry matter basis<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 10.\u00a0 Write in your own words what an AUM of forage supply represents:<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 780 pounds of edible forage, dry matter basis<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 11.\u00a0 What are the 3 criteria we used to distinguish among range sites?<\/span><\/b><\/p>\n

1.\u00a0\u00a0\u00a0 Kind of plants<\/span>
\n2.\u00a0\u00a0\u00a0 Composition of plants<\/span>
\n3.\u00a0\u00a0\u00a0 Production<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 12.\u00a0 Another important attribute of the range site is vegetation response to treatment. We assume similar response to some control variable, like grazing intensity,
\nacross all locations.(a) true (b) true<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0 13.\u00a0 The wife and I went to Denver yesterday to pick up a Turkish delegation at DIA, but decided to kill some time and did the IMAX Amazon and wandered in
\nthe museum. I remember seeing a placard stating a 6 ton elephant eats about 300 lb of forage a day. What is the average Animal Unit Equivalent (AUE)?<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 AUE = 11.5<\/span><\/span><\/b><\/p>\n

14.\u00a0\u00a0\u00a0 The Forage Acre Factor has units of: Acres\/AUM<\/span>
\n<\/span><\/b><\/p>\n

Given:
\n<\/span><\/b><\/p>\n\n\n\n\n\n\n\n\n\n
Range Site<\/span><\/b><\/td>\nAcres<\/span><\/b><\/td>\nMedian year production<\/span><\/b><\/td>\nDistance from water factor<\/span><\/b><\/td>\nSlope factor<\/span><\/b><\/td>\nForage palatable to target animal<\/span><\/b><\/td>\nHarvest Efficiency<\/span><\/b><\/td>\nPotentially consumed
\nforage<\/span><\/b><\/td>\n		Forage Acre Factor<\/span><\/b><\/td>\nAU per site, 4 month season, AUE = 1<\/span><\/b><\/td>\n<\/tr>\n
Loamy Plains<\/span><\/b><\/td>\n2463<\/span><\/b><\/td>\n950<\/span><\/b><\/td>\n1.0<\/span><\/b><\/td>\n1.0<\/span><\/b><\/td>\n.85<\/span><\/b><\/td>\n.3<\/span><\/b><\/td>\n596661<\/span><\/span><\/b><\/td>\n3.22<\/span><\/span><\/b><\/td>\n191<\/span><\/span><\/b><\/td>\n<\/tr>\n
Loamy Plains\u00a0<\/span><\/b><\/td>\n432<\/span><\/b><\/td>\n1050<\/span><\/b><\/td>\n.5<\/span><\/b><\/td>\n1.0<\/span><\/b><\/td>\n.85<\/span><\/b><\/td>\n.3<\/span><\/b><\/td>\n57834<\/span><\/span><\/b><\/td>\n5.80<\/span><\/span><\/b><\/td>\n18<\/span><\/span><\/b><\/td>\n<\/tr>\n
Shaly Plains<\/span><\/b><\/td>\n564<\/span><\/b><\/td>\n840<\/span><\/b><\/td>\n.5<\/span><\/b><\/td>\n.85<\/span><\/b><\/td>\n.85<\/span><\/b><\/td>\n.3<\/span><\/b><\/td>\n51343<\/span><\/span><\/b><\/td>\n8.50<\/span><\/span><\/b><\/td>\n16<\/span><\/span><\/b><\/td>\n<\/tr>\n
Overflow<\/span><\/b><\/td>\n247<\/span><\/b><\/td>\n1450<\/span><\/b><\/td>\n1.0<\/span><\/b><\/td>\n1.0<\/span><\/b><\/td>\n.90<\/span><\/b><\/td>\n.25<\/span><\/b><\/td>\n51343<\/span><\/span><\/b><\/td>\n2.40<\/span><\/span><\/b><\/td>\n26<\/span><\/span><\/b><\/td>\n<\/tr>\n
Sandy Plains<\/span><\/b><\/td>\n1640<\/span><\/b><\/td>\n1250<\/span><\/b><\/td>\n1.0<\/span><\/b><\/td>\n1.0<\/span><\/b><\/td>\n.90<\/span><\/b><\/td>\n.3<\/span><\/b><\/td>\n553500<\/span><\/span><\/b><\/td>\n2.31<\/span><\/span><\/b><\/td>\n177<\/span><\/span><\/b><\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n\n
Total =<\/span><\/b><\/span><\/div>\n<\/td>\n
428<\/span><\/span><\/b><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 How many animals for the s<\/span><\/b>eason? 428 AU<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 What was average stocking rate, AUM per acre? .3 = 1719\/5346<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 What was average stocking rate Acre per AUM? 2.97 = 5346\/1719<\/span><\/span><\/b><\/p>\n

\n

RS300
\nIn Class
\n10-13-99
\n<\/span><\/b><\/p>\n

Given: A 10,000 acre rangeland in the sandhills of Nebraska. 2000 Acres is grazed by 265 yearling steers (AUE = .75) for about 4 months, 7000 acres is grazed by 275 cows and calves (AUE = 1.45) for 5 months and 275 cows alone (AUE = 1) for 2 months, 1000 acres is hayed and produces 1.5 tons per acre. One ton of hay is equivalent to 2.5 AUMs.<\/span><\/b><\/p>\n

What is the average stocking rate on the 9,000 acre, expressed as AUM\/Acre? The key formula is AUM = (AU)(AUE)(T)<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 265 *.75*4 =\u00a0\u00a0\u00a0\u00a0 795 AUM<\/span>
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 275*1.45*5 =\u00a0\u00a0 1993 AUM<\/span><\/span>
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 275*1.0*2 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 550 AUM<\/span>
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Total = 3338<\/span><\/span><\/b><\/p>\n

How many AUMs of forage does this ranch produce in one year.<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1000*1.5*2.5 = 3750 AUM from hay<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Total = 3750 AUM + 3338 AUM = 7088<\/span>
\n<\/span><\/b><\/p>\n

Given: A stocking rate of .20 AUM\/Acre; a grazing season of 5.0 months; the area is 40000 acres.<\/span><\/b><\/p>\n

What is the stocking rate expressed as Acre\/AUM?<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1\/.20 = 5<\/span><\/span><\/b><\/p>\n

How many cows and calves (AUE = 1.2) could be grazed on the area? Key formula is: [(AU)(AUE)(T)] \u00f7 ACRES = AUM\/ACRE<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 .2 = [(AU)(1.2)(5)]\/40000 = 1333<\/span><\/span><\/b><\/p>\n

How long could the same number of 1300 lb cows and their calves be grazed on the same area (AUE = 1.66)? Key formula is: [(AU)(AUE)(T)] \u00f7 ACRES = AUM\/ACRE<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 .2 = [1333AU)(1.66)(M)]\/40000 = 3.6<\/span><\/span><\/b><\/p>\n

If all the cows and calves were removed, how many steers (AUE = .70) could be grazed on this area for the same 4 mo season? Key formula is: [(AU)(AUE)(T)] \u00f7 ACRES = AUM\/ACRE<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 .2 = [(AU)(.70)(4)]\/40000 = 2857<\/span>
\n<\/span><\/b><\/p>\n

Given: A rangeland is 9,000 acres in size. The stocking rate is 24 acres\/AUY (AUE = 1.0). The area is grazed for 180 days.<\/span><\/b><\/p>\n

How many animals graze the area? Note: this scenario has lots of apples and oranges; i.e., years\/days\/months. Key formula is: ACRES \u00f7 [(AU)(AUE)(T)] = ACRES\/AUY<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 24 = 9000\/[(AU)(1.0)(180\/365)] = 760, or<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2 = 9000\/(AU)(1.0)(6) = 750<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Difference is assumption about portion of year vs average days in a month<\/span>
\n<\/span><\/b><\/p>\n

Given: An elk was found to consume about 400 lb dry matter\/mo.<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 400\/780 = .51<\/span><\/span><\/b><\/p>\n

Given: A herd of 92 elk, including 42 females (620 lb), 18 adult males (850), 12 yearling males (340 lb), and 20 yearling females (320 lb).<\/span><\/b><\/p>\n

What is an estimated demand of this herd for 1 month, pounds? Answer has to be in pounds. First key idea is AUE is a unitless ratio, i.e., units in numerator must be the same as units in the denominator. Second key is that a standard demand unit is 26 lb dry matter per day. Calculate demand of each age class and add ’em up.<\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 42*.62*26*30 = 20311<\/span>
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 18*.85*26*30 = 11934<\/span>
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 12*.34*26*30 = 3182<\/span>
\n\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 20*.32*26*30 = 4992<\/span><\/span><\/b><\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Total demand per month is 40419 lbs<\/span><\/span><\/b><\/p>\n","protected":false},"excerpt":{"rendered":"

RS300 Sample UnitExam 10-11-99 Given: A rangeland area in NE Wyoming, a mixed grass prairie in an area of about 15 inches of precipitation, produces a peak standing crop of desirable plants for sheep of about 1000 lb per acre.… <\/p>\n","protected":false},"author":117,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-75","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/wp-json\/wp\/v2\/pages\/75","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/wp-json\/wp\/v2\/users\/117"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/wp-json\/wp\/v2\/comments?post=75"}],"version-history":[{"count":1,"href":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/wp-json\/wp\/v2\/pages\/75\/revisions"}],"predecessor-version":[{"id":76,"href":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/wp-json\/wp\/v2\/pages\/75\/revisions\/76"}],"wp:attachment":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/larryr\/wp-json\/wp\/v2\/media?parent=75"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}