diff --git a/rhine-bayes/rhine-bayes.cabal b/rhine-bayes/rhine-bayes.cabal
index 0b446d442..448354878 100644
--- a/rhine-bayes/rhine-bayes.cabal
+++ b/rhine-bayes/rhine-bayes.cabal
@@ -35,7 +35,7 @@ library
                      , rhine        == 1.1
                      , dunai        ^>= 0.11
                      , log-domain   >= 0.12
-                     , monad-bayes  ^>= 1.1
+                     , monad-bayes  ^>= 1.2
   hs-source-dirs:      src
   default-language:    Haskell2010
   default-extensions:
diff --git a/rhine-bayes/src/Data/MonadicStreamFunction/Bayes.hs b/rhine-bayes/src/Data/MonadicStreamFunction/Bayes.hs
index d59e524ab..05ed84871 100644
--- a/rhine-bayes/src/Data/MonadicStreamFunction/Bayes.hs
+++ b/rhine-bayes/src/Data/MonadicStreamFunction/Bayes.hs
@@ -24,30 +24,30 @@ runPopulationS ::
   -- | Number of particles
   Int ->
   -- | Resampler
-  (forall x. Population m x -> Population m x) ->
-  MSF (Population m) a b ->
-  -- FIXME Why not MSF m a (Population b)
+  (forall x. PopulationT m x -> PopulationT m x) ->
+  MSF (PopulationT m) a b ->
+  -- FIXME Why not MSF m a (PopulationT b)
   MSF m a [(b, Log Double)]
 runPopulationS nParticles resampler = runPopulationsS resampler . (spawn nParticles $>)
 
--- | Run the Sequential Monte Carlo algorithm continuously on a 'Population' of 'MSF's
+-- | Run the Sequential Monte Carlo algorithm continuously on a 'PopulationT' of 'MSF's
 runPopulationsS ::
   (Monad m) =>
   -- | Resampler
-  (forall x. Population m x -> Population m x) ->
-  Population m (MSF (Population m) a b) ->
+  (forall x. PopulationT m x -> PopulationT m x) ->
+  PopulationT m (MSF (PopulationT m) a b) ->
   MSF m a [(b, Log Double)]
 runPopulationsS resampler = go
   where
     go msfs = MSF $ \a -> do
       -- TODO This is quite different than the dunai version now. Maybe it's right nevertheless.
       -- FIXME This normalizes, which introduces bias, whatever that means
-      bAndMSFs <- runPopulation $ normalize $ resampler $ flip unMSF a =<< msfs
+      bAndMSFs <- runPopulationT $ normalize $ resampler $ flip unMSF a =<< msfs
       return $
         second (go . fromWeightedList . return) $
           unzip $
             (swap . fmap fst &&& swap . fmap snd) . swap <$> bAndMSFs
 
 -- FIXME see PR re-adding this to monad-bayes
-normalize :: (Monad m) => Population m a -> Population m a
-normalize = fromWeightedList . fmap (\particles -> second (/ (sum $ snd <$> particles)) <$> particles) . runPopulation
+normalize :: (Monad m) => PopulationT m a -> PopulationT m a
+normalize = fromWeightedList . fmap (\particles -> second (/ (sum $ snd <$> particles)) <$> particles) . runPopulationT
diff --git a/rhine-bayes/src/FRP/Rhine/Bayes.hs b/rhine-bayes/src/FRP/Rhine/Bayes.hs
index 633fc2fca..0f054ec9e 100644
--- a/rhine-bayes/src/FRP/Rhine/Bayes.hs
+++ b/rhine-bayes/src/FRP/Rhine/Bayes.hs
@@ -27,13 +27,13 @@ runPopulationCl ::
   (Monad m) =>
   -- | Number of particles
   Int ->
-  -- | Resampler (see 'Control.Monad.Bayes.Population' for some standard choices)
-  (forall x. Population m x -> Population m x) ->
+  -- | Resampler (see 'Control.Monad.Bayes.PopulationT' for some standard choices)
+  (forall x. PopulationT m x -> PopulationT m x) ->
   -- | A signal function modelling the stochastic process on which to perform inference.
   --   @a@ represents observations upon which the model should condition, using e.g. 'score'.
   --   It can also additionally contain hyperparameters.
   --   @b@ is the type of estimated current state.
-  ClSF (Population m) cl a b ->
+  ClSF (PopulationT m) cl a b ->
   ClSF m cl a [(b, Log Double)]
 runPopulationCl nParticles resampler = DunaiReader.readerS . DunaiBayes.runPopulationS nParticles resampler . DunaiReader.runReaderS
 
diff --git a/stack.9.0.2.yaml b/stack.9.0.2.yaml
index 97bf9a1d9..88c06e4fd 100644
--- a/stack.9.0.2.yaml
+++ b/stack.9.0.2.yaml
@@ -17,7 +17,7 @@ extra-deps:
 - simple-affine-space-0.2.1@sha256:bc9b1f5ae236b2898cd6f20da2d4589fd662fac2e2057f29b01330f65c030434,2046
 - monad-schedule-0.1.2.1@sha256:95d6b9c6fd36f585e4a52938ebd1762c2e2caa8bb3c11ce86985dd11a2caae1a,1776
 - time-domain-0.1.0.2@sha256:33f0a6efe6eb03e729f3dc828cd673b0bb511a0e50ac0b621c5acebd82f6d329,1007
-- monad-bayes-1.1.1
+- monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
 - criterion-1.6.3.0
 - criterion-measurement-0.2.1.0@sha256:646d5b5c55499580747746396b731ef9d6e2cd59fa7b488354788e68eae8e9bc,2098
 - hspec-2.11.7@sha256:2869580a2a29e7beb6268ea3dc561583f4ae229ed1f47fb1c92e8c09ce35acec,1763
diff --git a/stack.9.0.2.yaml.lock b/stack.9.0.2.yaml.lock
index a9c0e8e35..bc97da631 100644
--- a/stack.9.0.2.yaml.lock
+++ b/stack.9.0.2.yaml.lock
@@ -68,12 +68,82 @@ packages:
   original:
     hackage: time-domain-0.1.0.2@sha256:33f0a6efe6eb03e729f3dc828cd673b0bb511a0e50ac0b621c5acebd82f6d329,1007
 - completed:
-    hackage: monad-bayes-1.1.1@sha256:d76401f5b7bdcfe0b454f63f932c97049d633ef2623f19981bba02c63af3a16c,6292
+    hackage: monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
     pantry-tree:
-      sha256: bf2bdaaf51aaa9b24b3ec3757d83db0e9f5507435984a452788e71cc2bd3b9b7
-      size: 3567
+      sha256: ce4a9db9888b589ae56493862ae62f2efb5af8d17d3d55bac0b3f59177881b2b
+      size: 3823
   original:
-    hackage: monad-bayes-1.1.1
+    hackage: monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
+- completed:
+    hackage: criterion-1.6.3.0@sha256:cf27e6c83f91674fb67ef253cae644ad0ce079b7e2cfa6402e13e930f78499ec,5373
+    pantry-tree:
+      sha256: 2102113a4ac228305ea9396967878c6921377bafc92425c1b8cf82f8afbef40e
+      size: 2323
+  original:
+    hackage: criterion-1.6.3.0
+- completed:
+    hackage: criterion-measurement-0.2.1.0@sha256:646d5b5c55499580747746396b731ef9d6e2cd59fa7b488354788e68eae8e9bc,2098
+    pantry-tree:
+      sha256: 2557db6ed7b4e5718d9ca6271caf4bcfc97b966ed32b051f346c8d17e1c31809
+      size: 726
+  original:
+    hackage: criterion-measurement-0.2.1.0@sha256:646d5b5c55499580747746396b731ef9d6e2cd59fa7b488354788e68eae8e9bc,2098
+- completed:
+    hackage: hspec-2.11.7@sha256:2869580a2a29e7beb6268ea3dc561583f4ae229ed1f47fb1c92e8c09ce35acec,1763
+    pantry-tree:
+      sha256: f241a7710ebee50583f9aebff61aaf4d36619ba7d6538b39b80ee4695c70552e
+      size: 584
+  original:
+    hackage: hspec-2.11.7@sha256:2869580a2a29e7beb6268ea3dc561583f4ae229ed1f47fb1c92e8c09ce35acec,1763
+- completed:
+    hackage: lens-5.2.3@sha256:637287c76adff383063b3206a4213640de1a74839ec16008cc71b5b407f7d05e,15237
+    pantry-tree:
+      sha256: 2a69ee338ef79da9aaa0d406f8307b11e3b8f969aa8fc28e46ca250c1f6ef40d
+      size: 8351
+  original:
+    hackage: lens-5.2.3@sha256:637287c76adff383063b3206a4213640de1a74839ec16008cc71b5b407f7d05e,15237
+- completed:
+    hackage: linear-1.22@sha256:6402f0140156d2792ca0cbef3f5af2ec3675660e381574ac968cd5884724b8ba,4132
+    pantry-tree:
+      sha256: 8ccd6646c1a5f2f7998a19a04f00200e44ee08186e980153ec371d6d114eb0e6
+      size: 2042
+  original:
+    hackage: linear-1.22@sha256:6402f0140156d2792ca0cbef3f5af2ec3675660e381574ac968cd5884724b8ba,4132
+- completed:
+    hackage: optparse-applicative-0.18.1.0@sha256:b4cf8d9018e5e67cb1f14edb5130b6d05ad8bc1b5f6bd4efaa6ec0b7f28f559d,5132
+    pantry-tree:
+      sha256: 32f52adc150eb146bf4d167ff0cb21fc1e3cd7ecc1b9e5e83b986a1cd1bc58cd
+      size: 3124
+  original:
+    hackage: optparse-applicative-0.18.1.0@sha256:b4cf8d9018e5e67cb1f14edb5130b6d05ad8bc1b5f6bd4efaa6ec0b7f28f559d,5132
+- completed:
+    hackage: pretty-simple-4.1.2.0@sha256:1c0a96e4205010d704c52883c53c98258c588ce7196763b408949d9db712ba14,4113
+    pantry-tree:
+      sha256: af1fc182e52bace1cb472830a7af4354bf5475056855f4df8137411de6306965
+      size: 1229
+  original:
+    hackage: pretty-simple-4.1.2.0@sha256:1c0a96e4205010d704c52883c53c98258c588ce7196763b408949d9db712ba14,4113
+- completed:
+    hackage: hspec-core-2.11.7@sha256:90d8873356d7e15f843bc523360e206e8e356ff6b82a1fa4b3889dc31d073ea1,6814
+    pantry-tree:
+      sha256: 8db12c1f6965d9f0898f04d7b5f1d77682c8ab2d5c394c4a431229df7c4acb14
+      size: 6231
+  original:
+    hackage: hspec-core-2.11.7@sha256:90d8873356d7e15f843bc523360e206e8e356ff6b82a1fa4b3889dc31d073ea1,6814
+- completed:
+    hackage: hspec-discover-2.11.7@sha256:6307eb16d308258a99a242025df50217d835ba0a3f205b1202a100a175877b38,2169
+    pantry-tree:
+      sha256: 141b4987d519ad1ca1114737f510f20adc2456bf44c040f41a63792f47d009eb
+      size: 829
+  original:
+    hackage: hspec-discover-2.11.7@sha256:6307eb16d308258a99a242025df50217d835ba0a3f205b1202a100a175877b38,2169
+- completed:
+    hackage: hspec-expectations-0.8.4@sha256:4237f094a7931202ff57ac6475542b0b314b50a7024550e2b6eb87cfb0d4ff93,1702
+    pantry-tree:
+      sha256: 87681840d430b84686f83f1ab8b5873b09c349775698665233443914acf9ba2b
+      size: 741
+  original:
+    hackage: hspec-expectations-0.8.4@sha256:4237f094a7931202ff57ac6475542b0b314b50a7024550e2b6eb87cfb0d4ff93,1702
 snapshots:
 - completed:
     sha256: f1c4aca9b9b81afbb9db55571acb0690cdc01ac97a178234de281f9dc075e95e
diff --git a/stack.9.2.8.yaml b/stack.9.2.8.yaml
index b5c391788..1372e2632 100644
--- a/stack.9.2.8.yaml
+++ b/stack.9.2.8.yaml
@@ -11,7 +11,7 @@ extra-deps:
 - dunai-0.11.1@sha256:b527b801c8b3901a4ebec733ac0bb6ff9cdd2b6b04ec385e18922f49c39e4b51,6372
 - simple-affine-space-0.2.1@sha256:bc9b1f5ae236b2898cd6f20da2d4589fd662fac2e2057f29b01330f65c030434,2046
 - terminal-0.2.0.0@sha256:de6770ecaae3197c66ac1f0db5a80cf5a5b1d3b64a66a05b50f442de5ad39570,2977
-- monad-bayes-1.1.1
+- monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
 - hspec-2.11.7@sha256:2869580a2a29e7beb6268ea3dc561583f4ae229ed1f47fb1c92e8c09ce35acec,1763
 - lens-5.2.3@sha256:637287c76adff383063b3206a4213640de1a74839ec16008cc71b5b407f7d05e,15237
 - linear-1.22@sha256:6402f0140156d2792ca0cbef3f5af2ec3675660e381574ac968cd5884724b8ba,4132
diff --git a/stack.9.2.8.yaml.lock b/stack.9.2.8.yaml.lock
index 04ab22fe1..b4832bc4b 100644
--- a/stack.9.2.8.yaml.lock
+++ b/stack.9.2.8.yaml.lock
@@ -26,12 +26,61 @@ packages:
   original:
     hackage: terminal-0.2.0.0@sha256:de6770ecaae3197c66ac1f0db5a80cf5a5b1d3b64a66a05b50f442de5ad39570,2977
 - completed:
-    hackage: monad-bayes-1.1.1@sha256:d76401f5b7bdcfe0b454f63f932c97049d633ef2623f19981bba02c63af3a16c,6292
+    hackage: monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
     pantry-tree:
-      sha256: bf2bdaaf51aaa9b24b3ec3757d83db0e9f5507435984a452788e71cc2bd3b9b7
-      size: 3567
+      sha256: ce4a9db9888b589ae56493862ae62f2efb5af8d17d3d55bac0b3f59177881b2b
+      size: 3823
   original:
-    hackage: monad-bayes-1.1.1
+    hackage: monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
+- completed:
+    hackage: hspec-2.11.7@sha256:2869580a2a29e7beb6268ea3dc561583f4ae229ed1f47fb1c92e8c09ce35acec,1763
+    pantry-tree:
+      sha256: f241a7710ebee50583f9aebff61aaf4d36619ba7d6538b39b80ee4695c70552e
+      size: 584
+  original:
+    hackage: hspec-2.11.7@sha256:2869580a2a29e7beb6268ea3dc561583f4ae229ed1f47fb1c92e8c09ce35acec,1763
+- completed:
+    hackage: lens-5.2.3@sha256:637287c76adff383063b3206a4213640de1a74839ec16008cc71b5b407f7d05e,15237
+    pantry-tree:
+      sha256: 2a69ee338ef79da9aaa0d406f8307b11e3b8f969aa8fc28e46ca250c1f6ef40d
+      size: 8351
+  original:
+    hackage: lens-5.2.3@sha256:637287c76adff383063b3206a4213640de1a74839ec16008cc71b5b407f7d05e,15237
+- completed:
+    hackage: linear-1.22@sha256:6402f0140156d2792ca0cbef3f5af2ec3675660e381574ac968cd5884724b8ba,4132
+    pantry-tree:
+      sha256: 8ccd6646c1a5f2f7998a19a04f00200e44ee08186e980153ec371d6d114eb0e6
+      size: 2042
+  original:
+    hackage: linear-1.22@sha256:6402f0140156d2792ca0cbef3f5af2ec3675660e381574ac968cd5884724b8ba,4132
+- completed:
+    hackage: vty-5.38@sha256:c3b46c8072f92b61dad09dac45ede37f1a093836e14ac84ece6515a4d3222864,5628
+    pantry-tree:
+      sha256: b413c72281bb0f48eb0e4b45e272e3a18036ea91b4850315e8c2487ef719f9f3
+      size: 3499
+  original:
+    hackage: vty-5.38@sha256:c3b46c8072f92b61dad09dac45ede37f1a093836e14ac84ece6515a4d3222864,5628
+- completed:
+    hackage: hspec-core-2.11.7@sha256:90d8873356d7e15f843bc523360e206e8e356ff6b82a1fa4b3889dc31d073ea1,6814
+    pantry-tree:
+      sha256: 8db12c1f6965d9f0898f04d7b5f1d77682c8ab2d5c394c4a431229df7c4acb14
+      size: 6231
+  original:
+    hackage: hspec-core-2.11.7@sha256:90d8873356d7e15f843bc523360e206e8e356ff6b82a1fa4b3889dc31d073ea1,6814
+- completed:
+    hackage: hspec-discover-2.11.7@sha256:6307eb16d308258a99a242025df50217d835ba0a3f205b1202a100a175877b38,2169
+    pantry-tree:
+      sha256: 141b4987d519ad1ca1114737f510f20adc2456bf44c040f41a63792f47d009eb
+      size: 829
+  original:
+    hackage: hspec-discover-2.11.7@sha256:6307eb16d308258a99a242025df50217d835ba0a3f205b1202a100a175877b38,2169
+- completed:
+    hackage: hspec-expectations-0.8.4@sha256:4237f094a7931202ff57ac6475542b0b314b50a7024550e2b6eb87cfb0d4ff93,1702
+    pantry-tree:
+      sha256: 87681840d430b84686f83f1ab8b5873b09c349775698665233443914acf9ba2b
+      size: 741
+  original:
+    hackage: hspec-expectations-0.8.4@sha256:4237f094a7931202ff57ac6475542b0b314b50a7024550e2b6eb87cfb0d4ff93,1702
 snapshots:
 - completed:
     sha256: 5a59b2a405b3aba3c00188453be172b85893cab8ebc352b1ef58b0eae5d248a2
diff --git a/stack.9.4.7.yaml b/stack.9.4.7.yaml
index 8d3a76d1e..a8d926aac 100644
--- a/stack.9.4.7.yaml
+++ b/stack.9.4.7.yaml
@@ -10,7 +10,7 @@ packages:
 extra-deps:
 - monad-schedule-0.1.2.1@sha256:95d6b9c6fd36f585e4a52938ebd1762c2e2caa8bb3c11ce86985dd11a2caae1a,1776
 - terminal-0.2.0.0@sha256:de6770ecaae3197c66ac1f0db5a80cf5a5b1d3b64a66a05b50f442de5ad39570,2977
-- monad-bayes-1.1.1
+- monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
 - hspec-2.11.7@sha256:2869580a2a29e7beb6268ea3dc561583f4ae229ed1f47fb1c92e8c09ce35acec,1763
 - hspec-core-2.11.7@sha256:90d8873356d7e15f843bc523360e206e8e356ff6b82a1fa4b3889dc31d073ea1,6814
 - hspec-discover-2.11.7@sha256:6307eb16d308258a99a242025df50217d835ba0a3f205b1202a100a175877b38,2169
diff --git a/stack.9.4.7.yaml.lock b/stack.9.4.7.yaml.lock
index 9bc38b45c..57ad8a2c8 100644
--- a/stack.9.4.7.yaml.lock
+++ b/stack.9.4.7.yaml.lock
@@ -19,12 +19,12 @@ packages:
   original:
     hackage: terminal-0.2.0.0@sha256:de6770ecaae3197c66ac1f0db5a80cf5a5b1d3b64a66a05b50f442de5ad39570,2977
 - completed:
-    hackage: monad-bayes-1.1.1@sha256:d76401f5b7bdcfe0b454f63f932c97049d633ef2623f19981bba02c63af3a16c,6292
+    hackage: monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
     pantry-tree:
-      sha256: bf2bdaaf51aaa9b24b3ec3757d83db0e9f5507435984a452788e71cc2bd3b9b7
-      size: 3567
+      sha256: ce4a9db9888b589ae56493862ae62f2efb5af8d17d3d55bac0b3f59177881b2b
+      size: 3823
   original:
-    hackage: monad-bayes-1.1.1
+    hackage: monad-bayes-1.2.0@sha256:bf83cf8e6d163c461b9964dbff48d4476b2a82421962af317b3a3d0d738ea2a2,6456
 - completed:
     hackage: hspec-2.11.7@sha256:2869580a2a29e7beb6268ea3dc561583f4ae229ed1f47fb1c92e8c09ce35acec,1763
     pantry-tree: