With no casting required, a far lighter float can be placed with pinpoint accuracy exactly where you want it. With shorter lengths of line in use, you get more control over your float, allowing you to manipulate your bait to appear more natural, induce bites, better combat wind and tow whilst making bites easier to hit. All these factors mean that in the right hands, a pole will normally outscore a rod and line approach fished within pole range. Owning a margin pole as part of your match fishing setup is very common these days, because you wouldn’t want to damage your expensive pole now…. Margin Pole Fishing Most carp margin poles are lightweight and handle exceptionally well, unlike their predecessors that were very bendy and heavy!

We condition on \( X_s \). \[ P_{s+t}(x, z) = \P(X_{s + t} = z \mid X_0 = x) = \sum_{y \in S} \P(X_{s+t} = z \mid X_s = y, X_0 = x) \P(X_s = y \mid X_0 = x) \] But by the Markov and time homogeneous properties, \[ \P(X_{s+t} = z \mid X_s = y, X_0 = x) = \P(X_{s+t} = z \mid X_s = y) = P_t(y, z) \] Of course by definition, \( \P(X_s = y \mid X_0 = x) = P_s(x, y) \). So the first displayed equation above becomes \[ P_{s+t}(x, y) = \sum_{y \in S} P_s(x, y) P_t(y, z) = P_s P_t(x, z) \] As the name suggests, Margin poles are designed to allow you to effectively target the margins of your peg. Especially on commercial venues, the margins are often home to the bigger fish in the lake, so a good margin pole will be short in length and super strong, making them capable of dealing with large fish. Because of this they are often quite stiff and robust, so are ideal for juniors, beginners or anglers looking to target large Carp on commercial venues. Carp Poles Extra Coverage: Extra Coverage shades provide classic, full-bodied results. Select the Dream.Age Series for modern, reflective results. Both deliver 100% grey coverage. Understanding how these factors impact the process and the establishment of standards are key steps in strengthening production processes. The 6M factors are used to construct cause-and-effect diagrams. Also known as a Fishbone Diagram due to its appearance (or, an Ishikawa Diagram as named after its developer, Kaoru Ishikawa). Example in Figure B below.Side puller: A small hole in the side of your top kit with a bush or roller fitted inside, used instead of a bung to anchor your elastic. The bottom end of the elastic is threaded through the puller and anchored by a bead on the outside of your pole. This allows you to grab the bead and pull some elastic out of the pole, changing its tension when playing a fish. This is useful when a larger fish has pulled a lot of elastic out of your pole, making it difficult to net.

Lengths of 10m and up are not uncommon, usually featuring really strong section walls made to deal with heavy elastics, and creating that extra stiffness required to land carp close-in. Cupping kit: A separate top kit specially designed to attach a pole cup, allowing you to deposit a large amount of bait right where you are fishing. Reflect Collection: HD Color Technology™ Red & Copper and SoRED for visible intensity and vibrant, saturated tones If you're a beginner or want a pole that will perform well, we recommend going for somewhere in between a pole that is fairly long (8-11m) but sacrifices some strength for rigidity and response making it easier to hold and use, as it will be far more enjoyable to handle and more efficient all round. Glossary In the last section, we studied \( \bs{X} \) in terms of when and how the state changes. To review briefly, let \( \tau = \inf\{t \in (0, \infty): X_t \ne X_0\} \). Assuming that \( \bs{X} \) is right continuous, the Markov property of \( \bs{X} \) implies the memoryless property of \( \tau \), and hence the distribution of \( \tau \) given \( X_0 = x \) is exponential with parameter \( \lambda(x) \in [0, \infty) \) for each \( x \in S \). The assumption of right continuity rules out the pathological possibility that \( \lambda(x) = \infty \), which would mean that \( x \) is an instantaneous state so that \( \P(\tau = 0 \mid X_0 = x) = 1 \). On the other hand, if \( \lambda(x) \in (0, \infty) \) then \( x \) is a stable state, so that \( \tau \) has a proper exponential distribution given \( X_0 = x \) with \( \P(0 \lt \tau \lt \infty \mid X_0 = x) = 1 \). Finally, if \( \lambda(x) = 0 \) then \( x \) is an absorbing state, so that \( \P(\tau = \infty \mid X_0 = x) = 1 \). Next we define a sequence of stopping times: First \( \tau_0 = 0 \) and \( \tau_1 = \tau\). Recursively, if \( \tau_n \lt \infty \) then \( \tau_n = \inf\left\{t \gt \tau_n: X_t \ne X_{\tau_n}\right\} \), while if \( \tau_n = \infty \) then \( \tau_{n+1} = \infty \). With \( M = \sup\{n \in \N: \tau_n \lt \infty\} \) we define \( Y_n = X_{\tau_n} \) if \( n \in \N \) with \( n \le M \) and \( Y_n = Y_M \) if \( n \in \N \) with \( n \gt M \). The sequence \( \bs{Y} = (Y_0, Y_1, \ldots) \) is a discrete-time Markov chain on \( S \) with one-step transition matrix \( Q \) given by \(Q(x, y) = \P(X_\tau = y \mid X_0 = x)\) if \( x, \, y \in S \) with \( x \) stable, and \( Q(x, x) = 1\) if \( x \in S \) is absorbing. Assuming that \( \bs{X} \) is regular, which means that \( \tau_n \to \infty \) as \( n \to \infty \) with probability 1 (ruling out the explosion event of infinitely many transitions in finite time), the structure of \( \bs{X} \) is completely determined by the sequence of stopping times \( \bs{\tau} = (\tau_0, \tau_1, \ldots) \) and the discrete-time jump chain \( \bs{Y} = (Y_0, Y_1, \ldots) \). Analytically, the distribution \( \bs{X} \) is determined by the exponential parameter function \( \lambda \) and the one-step transition matrix \( Q \) of the jump chain.Margin pole: A generally shorter pole of around 8-10m in length, that is designed with stronger carbon, reinforced joints and improved wall strength to create a very strong pole to tame even the largest fish. Frequently asked questions about margin poles