In a road bicycle race , the peloton (from French , originally meaning ' platoon ' ) is the main group or pack of riders. Riders in a group save energy by riding close ( drafting or slipstreaming ) to (particularly behind) other riders. The reduction in drag is dramatic; riding in the middle of a well-developed group, drag can be reduced by as much as 95%. Exploitation of this potential energy saving leads to complex cooperative and competitive interactions between riders and teams in race tactics. The term is also used to refer to the community of professional cyclists in general.
50-409: More formally, a peloton is defined as "two or more cyclists riding in sufficiently close proximity to be located either in one of two basic positions: (1) behind cyclists in zones of reduced air pressure, referred to as ‘drafting’, or (2) in non-drafting positions where air pressure is highest. Cyclists in drafting zones expend less energy than in front positions." A peloton has similarly been defined "as
100-497: A runway that will provide a headwind. Aircraft carriers usually turn into the wind during takeoffs and landings, and may increase their own speed. While on take-off and landing, headwinds are good because they allow the aircraft to use a shorter runway, in flight, however, headwinds are bad because they reduce the ground speed of the aircraft, which requires more fuel to get to the destination. Conversely, tailwinds are bad on take-off and landing, but are good in flight. In sailing ,
150-412: A 'paceline' in a racetrack pattern angled across the road, with the leading rider on the upwind side of the road. Riders for a paceline, such as an echelon, sequentially change positions at short intervals so that no one rider must long accumulate excessive fatigue from facing maximum wind resistance at the leading edge. Echelons are necessarily limited in size by the roadway's width. When a large peloton
200-563: A breakaway group would succeed in reaching the finish ahead of chasing groups. He identified the following critical factors: distance remaining in the race, the speed of the breakaway group, the number of riders in both the breakaway and chasing groups, how closely riders draft each other, course gradient and roughness, and headwinds and crosswinds (referred to as "demand" factors). Introducing riders' physiological variables including metabolic power production and time to exhausion ("supply" factors), Olds' presents an iterative algorithm for determining
250-450: A comparatively low-speed phase in which cyclists naturally pass each other and share highest-cost front positions; and 2. a free-riding phase (essentially the singe-file phase identified above), in which cyclists can maintain speeds of those ahead, but cannot pass. The threshold between these two phases is equivalent to the coefficient of drafting (d), below which cooperative behavior occurs and above which free-riding (single-file) occurs up to
300-410: A crash, which spreads across the field in chain reaction as the densely packed riders cannot avoid hitting downed riders and bikes. The entire peloton behind the crash may be stopped. Being close to the front is also critical in strong crosswind conditions. Cross winds create a significant fatigue penalty for everyone, unless riders form moving groups called echelons in which riders collaborate to form
350-428: A different way of modelling the energetic relationships between cyclist-agents. Whereas Ratamero applied a constant maximal sustainable output for all cyclists who then lose energy differentially according to their proximity to drafting positions, Trenchard et al. introduced different maximal sustainable capacities for each cyclist-agent whose positions are determined by the proportion of their maximal capacities to that of
400-404: A function of distance remaining; the required lead time for a breakaway group falls rapidly as the number in the breakaway group increases up to about 10 riders, but flattens as the number of riders in the breakaway group approaches the number of riders in the chasing group. Similarly, Olds' observed that if the chase-group size is less than the size of the breakaway group and the wheel spacing among
450-530: A group of cyclists that are coupled together through the mutual energy benefits of drafting, whereby cyclists follow others in zones of reduced air resistance." A peloton is a complex system, which means that collective behavior emerges from simple rules of cyclists' interactions. Pelotons are typically observed during bicycle races in which drafting is permitted, although pelotons also form from cyclist commuter traffic. Pelotons travel as an integrated unit in which each rider makes positional adjustments in response to
500-503: A headwind may make forward movement difficult, and necessitate tacking into the wind. In motor vehicles , wind can affect fuel consumption and top speed but is usually ignored by the driver who chooses the speed from speed limits and road conditions. In cycling , headwind is felt strongly by cyclists. It decreases the speed and increases the advantage of drafting , i.e. riding closely together in groups. This can affect tactics in road bicycle racing . The comedian Jacob Haugaard made
550-478: A heterogeneous range among peloton cyclists and individual and team cooperative attributes in which agents share the most costly front position, or defect by seeking lower-cost drafting positions within the peloton, both according to some probabality. Hoenigman et al. introduced power equations from the literature for non-drafting and drafting positions, an approximate anaerobic threshold as a percentage of cyclists' maximum power when traveling alone without drafting, and
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#1732876881815600-459: A pointedly absurd campaign promise of more tailwind on bicycle paths when he successfully ran as an independent in the 1994 Danish parliamentary election . Cycling in Denmark is very popular. Tailwinds and headwinds are commonly measured in relation to the speed of vehicles — commonly air and watercraft — as well as in running events — particularly sprints up to 200 metres where athletes run in
650-494: A second threshold when coupled cyclists diverge. Applying the PCR equation (noted above), the range of cyclists’ MSOs in the free-riding phase is equivalent to the energy savings benefit of drafting (1-d). When driven to maximal speeds, pelotons tend to sort into sub-groups such that their MSO ranges equal the free-riding range (1-d). Trenchard extracts the following principles: It is this sorting behavior that Trenchard hypothesizes to be
700-469: A sharp turn (especially into wind) routinely causes division in a peloton. Once a division occurs, if the will and collective strength of those wisely placed at the front is greater than those behind, the gap between the groups will remain (or increase) to the end of the race, because the extra air resistance for a single rider attempting to move forward to reach the front group imposes an extravagant fatigue penalty, as compared to those who remained protected in
750-418: A social dilemma, and have also been considered in terms of equivalencies to aspects of economic theory. Basic peloton behaviors have also been modelled with robots, and principles of peloton behavior have also been considered in relation to the future of collective robot behavior. Olds' analysis involved peloton breakaway and chasing groups. He identified the factors involved in determining the likelihood that
800-473: A speed less than or equal to that speed representative of the limitation of MSO. A drafting cyclist may operate at or below MSO. If the cyclist is at MSO while drafting but conditions change (e.g., the rider falls too far behind or too far to the side of the optimal drafting position, with respect to the leader), then the follower must decelerate. If she is below MSO while drafting but temporarily falls outside drafting range, she can increase power output to maintain
850-523: A threshold energetic quantity to simulate the lactate threshold derived from Hoenigman, whereby cyclist-agents which expend energy above this level will fatigue and eventually fall back in position within the simulated peloton. Thus cyclist-agents expend their energy differentially within the peloton based on their positions and proximity to drafting positions. Ratamero's model demonstrates that cyclists tend to expend energy more efficiently by participating in well-organized lines in which cyclists advance toward
900-444: A time-to-exhaustion parameter. The authors also introduced a "breakaway" state in which defecting riders increase their speeds to a higher threshold either to breakaway or to catch a group ahead. The authors performed experiments by varying the noted parameters over a simulated 160 kilometres (99 mi) flat road race containing 15 teams of 10 riders. Cooperators (those willing to take the most costly front position) spend 5 minutes at
950-443: A universal evolutionary principle among biological systems coupled by an energy-saving mechanism, which he and collaborators have developed further in relation to extinct trilobites and slime mold While the riders at the very front encounter the greatest air resistance (and also those on the windward side when there is a significant crosswind ), those behind the first few riders near the front have critical advantages. Being close to
1000-721: Is a decisive factor in the outcome of every race. Cyclists' range of peripheral vision is a significant factor in peloton formation. Thus these formations comprise two main phases of behavior: a compact, low-speed formation, and a single-file, high-speed formation. Peloton phases are indicated by thresholds in collective output that can be modeled mathematically and computationally. The principles of phase behavior identified by Trenchard et al. have been applied to optimize engineering problems. Similarly, these thresholds in peloton formations define transitions between peloton cooperative behavior and free-riding behavior. Cooperation and free-riding in pelotons have been studied using game theory and as
1050-485: Is exposed to a significant crosswind on a narrow road, the peloton cannot avoid breaking into a number of small echelons. Teams aware of wind conditions ahead, strong enough to move to the front, well experienced in echelon riding, can gain an important time advantage in these circumstances. It is critical for riders in contention to win a race to remain near (but not at) the front of the peloton, especially when approaching sharp turns that require braking. Resuming pace after
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#17328768818151100-422: Is increasing risk of delays or injury from involvement in crashes as one falls farther back in the peloton. In addition, riders are increasingly affected by the accordion effect , in which a change in speed becomes amplified as it propagates to the back of the peloton. The riders following must anticipate and brake early to avoid collisions when the peloton slows. Touching wheels for even a moment normally results in
1150-410: Is made harder (headwind) or easier (tailwind). In aeronautics , a headwind is favorable in takeoffs and landings because an airfoil moving into a headwind is capable of generating greater lift than the same airfoil moving through tranquil air, or with a tailwind, at equal ground speed . As a result, aviators and air traffic controllers commonly choose to take off or land in the direction of
1200-416: Is said to have 7.5 knots of crosswind and 13 knots of headwind on runway 06, or 13 knots of tailwind on runway 24. Aircraft usually have maximum tailwind and crosswind components which they cannot exceed. If the wind is at eighty degrees or above it is said to be full-cross. If the wind exceeds 100 degrees it is common practice to takeoff and land from the opposite end of the runway, it has
1250-765: The actual race in terms of phase oscillations and cyclist's relative positions. Trenchard proposed a theoretical framework for peloton "protocooperative" behavior, a form of cooperation that emerges naturally from physical interactive principles as opposed to ones driven by human competitive, sociological or economic motivations. In this way, protocooperative behavior involves universal principles which Trenchard hypothesizes may be found in many biological systems involving energy saving mechanisms. The parameters of protocooperative behavior include: 1. two or more cyclists coupled by drafting benefit; 2. cyclists' power output or speed; and 3. cyclists' maximal sustainable outputs (MSO). The main characteristics of protocooperative behavior are: 1.
1300-511: The chasers is greater than 3 meters, a chasing group will never catch a lead group, assuming other factors remain constant between the groups. Agent-based computer models allow for any number of independent "agents" with assigned attributes to interact according to programmed rules of behavior. In this way, simulated global behaviors emerge which can be studied for their properties and compared with actual systems. For their cyclist agents, Hoenigman et al. assigned individual maximum-power-outputs over
1350-451: The effectiveness of this kind of agent-based model which facilitates accurate identification and analysis of underlying principles of system (in this case, peloton) behavior. In his 2013 agent-based peloton simulation, Erick Ratamero applied Wilenski's agent-based flocking model that incorporates three main dynamical parameters: alignment, separation and cohesion. Wilenski's model originates from Craig Reynolds' flocking model that incorporates
1400-451: The finish at the highest possible speed. Headwind and tailwind A tailwind is a wind that blows in the direction of travel of an object, while a headwind blows against the direction of travel. A tailwind increases the object's speed and reduces the time required to reach its destination, while a headwind has the opposite effect. The terms are also used metaphorically in business and elsewhere about circumstances where progress
1450-399: The formation, often into single file. A slow pace or brisk tailwind in which cyclists' power outputs are low result in compact formations such that riders ride side-by-side, often filling roads from one side to the other. When two or more groups of riders have reason to contest control of the peloton, several lines may form, each seeking to impose debilitating fatigue on the other teams. Fatigue
1500-401: The front means that the rider can see and react to attacks from competitors, and changes in position, with far less effort. Gaps sometimes form in the peloton, and being close to the front reduces the risk of getting caught in the rear group if a break occurs in the peloton, for example, after a crash. Riders near the front are much less likely to have delays due to involvement in crashes. There
1550-400: The front rider who sets the speed of the peloton. For this they apply the equation: where PCR is the "peloton convergence ratio", describing two coupled riders; the non-drafting front-rider sets the pace, while the follower obtains the drafting benefit of reduced power output at the same speed as the front rider. Two-cyclist coupling generalizes to multiple rider interactions. "P front " is
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1600-458: The front, even though they might spend more time in front non-drafting positions than some cyclists internal to the peloton whose continual positional adjustments may result in less time in optimal drafting positions. Ratamero's model exhibits self-organized convection-like behavior which Trenchard described as a phase of peloton behavior. In their 2015 agent-based peloton simulation, Trenchard et al. applied Ratamero's dynamical model, but introduced
1650-497: The front, then rotate to the back of the pack. Defectors spend only one minute at the front. As the race approaches the end, strategies change such that each agent increases their output incrementally based on their remaining energy up to 100% of their maximum power output. Results of the model shows that weaker riders are better off defecting, while cooperation is a good strategy for stronger riders. The results are realistic when compared with real-world competitive cycling and demonstrate
1700-408: The highest pace he can achieve, until he reaches the limit of his endurance, when he then pulls off to the side, allowing the succeeding team member in line to drive forward to his limit. The team sprinter slipstreams at the rear to minimize fatigue due to air resistance until the last hundred meters or so, when the sprinter will choose the moment to dash out from behind his lead-out rider to charge to
1750-421: The leading edge, then falling away. Like bird flocks, peloton-like behavior that involves drafting or similar energy-saving mechanisms has been identified in a variety of biological systems. The shape or formation of the peloton changes according to multiple factors. Comparatively high power output efforts due to high-speeds on flat topography, a strong headwind or inclines (hills) tends to spread out or lengthen
1800-423: The main peloton, attempting to build such a commanding lead early in the race that the peloton cannot catch up before the finish. Breakaways may succeed when break riders are strong, especially if none of the riders in the break is a danger man (in contention for a win in the overall contest), and if they all pull together as a team. The rider (or riders) who are in the lead and have also successfully broken away from
1850-441: The mean power of each group and their relative times to exhaustion, thus determining whether the chasers will catch the breakaway. Olds' key findings include that group mean velocity increases rapidly as a function of group size up to five or six riders, and then continues to increase but only gradually up to about 20 cyclists; wheel spacing is a significant determinant of group speed due to drafting advantages; mean velocity falls as
1900-406: The movements of adjacent riders and those ahead. Riders at the front are fully exposed to wind resistance, hence they experience higher fatigue loads than riders in drafting positions. After a period of time in front, leading riders maneuver farther back in the peloton to a drafting position to recover. Thus the peloton is in fluid motion as a continuous rotation of riders push from the back through to
1950-403: The pace of the leader as long as she does not exceed MSO. This algorithm produces a realistic simulation of oscillating phase behavior between compact and stretched pelotons as speeds vary throughout the course of a race. Trenchard et al. tested the model against an actual set of MSOs for 14 cyclists who participated in a velodrome (track) race. The simulation test produced a realistic simulation of
2000-412: The peloton are referred to as Tête de la Course (a French expression meaning “head of the race”). The peloton will not allow a break with a danger man to get far ahead. Strong teams who want to bring their sprinter into contention for the win come to the front of the peloton and dictate a harsh pace, imposing fatigue on rivals, meanwhile breakaway riders (who individually must spend much more time exposed to
2050-405: The peloton at a critical moment. This tactic has the best chance of success on narrow roads, with tight turns, where a single team can fill the road from one side to the other. In races where the finish is on flat roads, within a few kilometers from the finish, strong teams form into lines, with their principal sprint contender at the rear. The leading rider of each contending team drives forward at
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2100-413: The peloton in order to maximize their ability to affect the peloton. For example, if a team member is currently in a breakaway group out in front of the main peloton, the remaining team members will normally make no attempt to accelerate the peloton, to maximize the chances of success for their breakaway group rider. Rarely, they may move to the front of the peloton, and actively seek to check the progress of
2150-420: The peloton. This is particularly true at high speed on flat roads. When a team maneuvers to the front of the peloton, it has placed itself in position to dictate the tempo of the race. Teams of riders may prefer a faster or slower tempo depending on the team's tactics. Being near or at the front of the peloton is critical when initiating a breakaway . A few strong riders will always attempt to break away from
2200-438: The power output of the front-rider as she sets the pace within the coupled system; "d" expresses the follower’s energy savings due to drafting, as a fraction (percentage) of the front-rider’s power output; "MSO follow " is the maximal sustainable power output for the follower. Thus, if P front exceeds the follower's MSO, the follower will be unable to sustain the speed of the pace-setting front-rider and must decelerate to
2250-527: The same or mostly same direction and wind assistance from a tailwind above two metre per second is not allowed in records. This limit also applies to long jump and triple jump . Pilots calculate the Headwind or Tailwind Component and the Crosswind Component of local wind before takeoff. The direction of wind at a runway is measured using a windsock and the speed by an anemometer , often mounted on
2300-514: The same parameters, which he described as velocity matching, collision avoidance, and flock centering. Ratamaro then applied Sayama's algorithm for cohesive and separating forces to adjust agents' acceleration based on their proportionate spacing within a defined field of vision. Ratamero then introduced cyclists' energetic parameters, adopting elements of Olds' equations for cyclists' energy expenditure, and cyclist performance results from Hoenigman, and Kyle's drafting equation. Ratamero then introduced
2350-420: The same post. Headwind and Tailwind are opposite interpretations of the wind component which is parallel to the direction of travel, while Crosswind represents the perpendicular component. Determining the ground speed of an aircraft requires the calculation of the head or tailwind. Assume: A = Angle of the wind origin from the direction of travel {\displaystyle A={\text{Angle of
2400-1046: The wind is at 09015 that means the wind is currently from heading 090 degrees with a speed of 15 knots and the aircraft is taking-off from runway 24; having heading of 240. The pilot prefers the runway side with less than 90 difference from wind direction, in this case Runway 06; heading 060. Here, A = 30 ∘ {\displaystyle A=30^{\circ }} . Crosswind = sin [ 30 ∘ ] ⋅ 15 k n o t s ≈ 7.5 k n o t s {\displaystyle {\text{Crosswind}}=\sin[30^{\circ }]\cdot 15{\mathsf {knots}}\approx 7.5{\mathsf {knots}}} Headwind = cos [ 30 ∘ ] ⋅ 15 k n o t s ≈ 13 k n o t s {\displaystyle {\text{Headwind}}=\cos[30^{\circ }]\cdot 15{\mathsf {knots}}\approx 13{\mathsf {knots}}} The aircraft
2450-762: The wind origin from the direction of travel}}} W S = The measured total wind speed {\displaystyle WS={\text{The measured total wind speed}}} C W = Crosswind {\displaystyle CW={\text{Crosswind}}} T W = Tailwind {\displaystyle TW={\text{Tailwind}}} H W = Headwind {\displaystyle HW={\text{Headwind}}} Then C W = sin ( A ) ⋅ W S {\displaystyle CW=\sin(A)\cdot WS} H W = cos ( A ) ⋅ W S {\displaystyle HW=\cos(A)\cdot WS} For example, if
2500-403: The wind than peloton members) sequentially succumb to fatigue and are normally caught. Otherwise successful breaks often fall into disarray just before the finish, where rider calculations regarding personal chances for victory destroy the uneasy break alliance, meanwhile the peloton is catching up quickly. Tactical factors also apply. Team tactics generally involve clustering their members within
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